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Leaderboard data: interactive Pareto and lasagna figures

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  1. data/meta.json +1 -1
  2. data/subsets/tasks_all/models_all/budgets_0/leaderboard_table.html +16 -16
  3. data/subsets/tasks_all/models_all/budgets_0/pareto.html +1 -1
  4. data/subsets/tasks_all/models_all/budgets_0/website_leaderboard.csv +16 -16
  5. data/subsets/tasks_all/models_all/budgets_1/leaderboard_table.html +16 -16
  6. data/subsets/tasks_all/models_all/budgets_1/website_leaderboard.csv +16 -16
  7. data/subsets/tasks_all/models_all/budgets_2/leaderboard_table.html +16 -16
  8. data/subsets/tasks_all/models_all/budgets_2/pareto.html +1 -1
  9. data/subsets/tasks_all/models_all/budgets_2/website_leaderboard.csv +16 -16
  10. data/subsets/tasks_all/models_all/budgets_3/leaderboard_table.html +16 -16
  11. data/subsets/tasks_all/models_all/budgets_3/pareto.html +1 -1
  12. data/subsets/tasks_all/models_all/budgets_3/website_leaderboard.csv +16 -16
  13. data/subsets/tasks_all/models_all/budgets_4/leaderboard_table.html +16 -16
  14. data/subsets/tasks_all/models_all/budgets_4/pareto.html +1 -1
  15. data/subsets/tasks_all/models_all/budgets_4/website_leaderboard.csv +16 -16
  16. data/subsets/tasks_all/models_all/budgets_all/leaderboard_table.html +16 -16
  17. data/subsets/tasks_all/models_all/budgets_all/website_leaderboard.csv +16 -16
  18. data/subsets/tasks_all/models_lightgbm/budgets_0/leaderboard_table.html +16 -16
  19. data/subsets/tasks_all/models_lightgbm/budgets_0/pareto.html +1 -1
  20. data/subsets/tasks_all/models_lightgbm/budgets_0/website_leaderboard.csv +16 -16
  21. data/subsets/tasks_all/models_lightgbm/budgets_1/leaderboard_table.html +16 -16
  22. data/subsets/tasks_all/models_lightgbm/budgets_1/website_leaderboard.csv +16 -16
  23. data/subsets/tasks_all/models_lightgbm/budgets_2/leaderboard_table.html +16 -16
  24. data/subsets/tasks_all/models_lightgbm/budgets_2/website_leaderboard.csv +16 -16
  25. data/subsets/tasks_all/models_lightgbm/budgets_3/leaderboard_table.html +16 -16
  26. data/subsets/tasks_all/models_lightgbm/budgets_3/pareto.html +1 -1
  27. data/subsets/tasks_all/models_lightgbm/budgets_3/website_leaderboard.csv +16 -16
  28. data/subsets/tasks_all/models_lightgbm/budgets_4/leaderboard_table.html +16 -16
  29. data/subsets/tasks_all/models_lightgbm/budgets_4/pareto.html +1 -1
  30. data/subsets/tasks_all/models_lightgbm/budgets_4/website_leaderboard.csv +16 -16
  31. data/subsets/tasks_all/models_lightgbm/budgets_all/leaderboard_table.html +16 -16
  32. data/subsets/tasks_all/models_lightgbm/budgets_all/pareto.html +1 -1
  33. data/subsets/tasks_all/models_lightgbm/budgets_all/website_leaderboard.csv +16 -16
  34. data/subsets/tasks_all/models_linearmodel/budgets_0/leaderboard_table.html +16 -16
  35. data/subsets/tasks_all/models_linearmodel/budgets_0/pareto.html +1 -1
  36. data/subsets/tasks_all/models_linearmodel/budgets_0/website_leaderboard.csv +16 -16
  37. data/subsets/tasks_all/models_linearmodel/budgets_1/leaderboard_table.html +16 -16
  38. data/subsets/tasks_all/models_linearmodel/budgets_1/pareto.html +1 -1
  39. data/subsets/tasks_all/models_linearmodel/budgets_1/website_leaderboard.csv +16 -16
  40. data/subsets/tasks_all/models_linearmodel/budgets_2/leaderboard_table.html +16 -16
  41. data/subsets/tasks_all/models_linearmodel/budgets_2/pareto.html +1 -1
  42. data/subsets/tasks_all/models_linearmodel/budgets_2/website_leaderboard.csv +16 -16
  43. data/subsets/tasks_all/models_linearmodel/budgets_3/leaderboard_table.html +16 -16
  44. data/subsets/tasks_all/models_linearmodel/budgets_3/pareto.html +1 -1
  45. data/subsets/tasks_all/models_linearmodel/budgets_3/website_leaderboard.csv +16 -16
  46. data/subsets/tasks_all/models_linearmodel/budgets_4/leaderboard_table.html +16 -16
  47. data/subsets/tasks_all/models_linearmodel/budgets_4/pareto.html +1 -1
  48. data/subsets/tasks_all/models_linearmodel/budgets_4/website_leaderboard.csv +16 -16
  49. data/subsets/tasks_all/models_linearmodel/budgets_all/leaderboard_table.html +16 -16
  50. data/subsets/tasks_all/models_linearmodel/budgets_all/pareto.html +1 -1
data/meta.json CHANGED
@@ -1,6 +1,6 @@
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  {
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  "benchmark_name": "feature_selection_benchmark_2026_all",
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- "generated_at": "2026-11-04 19:08 UTC",
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  "selectarena_version": "0.1.0",
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  "n_results": 79873,
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  "n_datasets": 71,
 
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  {
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  "benchmark_name": "feature_selection_benchmark_2026_all",
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+ "generated_at": "2026-11-04 20:17 UTC",
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  "selectarena_version": "0.1.0",
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  "n_results": 79873,
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  "n_datasets": 71,
data/subsets/tasks_all/models_all/budgets_0/leaderboard_table.html CHANGED
@@ -32,22 +32,22 @@ td.na { color:var(--muted); }
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  .pill.cat-baseline { color:var(--muted); }
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  .medal { display:inline-block; width:1.4em; text-align:center; font-size:15px; line-height:1; }
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- </style></head><body><div class='toolbar'><span class='hint'>Click a column to sort. Hover a header for its definition. Stability and validity are shaded as in the Elo figure: darker is better.</span><button onclick="saCsv('selectarena_leaderboard.csv')">CSV</button></div><div class='wrap'><table id='sa-table'><thead><tr><th class='num' title='Rank by Elo.'>#</th><th class=''>Method</th><th class='' title='Taxonomy of the paper (Appendix A). Search methods evaluate many feature subsets with the model (forward, backward, leave-one-out); non-search methods use a proxy instead (correlation, distance, information theory, tree, regularization).'>Type</th><th class='num' title='Bradley-Terry Elo from pairwise matches within each dataset, budget and downstream model. Random = 1000. +/βˆ’ give the 95% bootstrap interval.'>Elo ↑</th><th class='num' title='Mean rank of the downstream error.'>Avg. rank ↓</th><th class='num' title='Mean relative gap (error βˆ’ best error) / error to the best method, in %.'>Improvability ↓</th><th class='num' title='Agreement of the selected features across bootstrap resamples (Nogueira et al., 2018).'>Stability ↑</th><th class='num' title='Share of the budget filled with original features when as many noise features are added.'>Validity ↑</th><th class='num' title='Median wall-clock time of the selection.'>Time (s) ↓</th><th class='num' title='Share of runs where the method ran out of time and random features filled the budget.'>Fallback (%)</th></tr></thead><tbody><tr><td class='num' data-sort='1'><span class='medal' role='img' aria-label='gold medal'>πŸ₯‡</span>1</td><td class='method' data-sort='RFImportance'>RFImportance</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1343.0'>1343<span class='sub'>+52 / βˆ’46</span></td><td class='num' data-sort='6.29'>6.29</td><td class='num' data-sort='20.0'>20.0</td><td class='num shaded' data-sort='0.628' style='background:rgba(0,114,178,0.50)'>0.628</td><td class='num shaded' data-sort='0.805' style='background:rgba(213,94,0,0.62)'>0.805</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='2'><span class='medal' role='img' aria-label='silver medal'>πŸ₯ˆ</span>2</td><td class='method' data-sort='CART'>CART</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1315.0'>1315<span class='sub'>+47 / βˆ’42</span></td><td class='num' data-sort='6.56'>6.56</td><td class='num' data-sort='22.6'>22.6</td><td class='num shaded' data-sort='0.484' style='background:rgba(0,114,178,0.40)'>0.484</td><td class='num shaded' data-sort='0.731' style='background:rgba(213,94,0,0.57)'>0.731</td><td class='num' data-sort='0.1'>0.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='3'><span class='medal' role='img' aria-label='bronze medal'>πŸ₯‰</span>3</td><td class='method' data-sort='MarkovBlanket'>MarkovBlanket</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1308.0'>1308<span class='sub'>+44 / βˆ’41</span></td><td class='num' data-sort='6.67'>6.67</td><td class='num' data-sort='21.8'>21.8</td><td class='num shaded' data-sort='0.418' style='background:rgba(0,114,178,0.36)'>0.418</td><td class='num shaded' data-sort='0.465' style='background:rgba(213,94,0,0.39)'>0.465</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='4'><span class='medal'></span>4</td><td class='method' data-sort='F-Test'>F-Test</td><td class='' data-sort='Correlation'><span class='pill cat-non-search'>Correlation</span><span class='sub'>non-search</span></td><td class='num' data-sort='1290.0'>1290<span class='sub'>+41 / βˆ’40</span></td><td class='num' data-sort='7.11'>7.11</td><td class='num' data-sort='23.8'>23.8</td><td class='num shaded' data-sort='0.725' style='background:rgba(0,114,178,0.57)'>0.725</td><td class='num shaded' data-sort='0.952' style='background:rgba(213,94,0,0.72)'>0.952</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='5'><span class='medal'></span>5</td><td class='method' data-sort='MI'>MI</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1290.0'>1290<span class='sub'>+34 / βˆ’35</span></td><td class='num' data-sort='6.95'>6.95</td><td class='num' data-sort='23.0'>23.0</td><td class='num shaded' data-sort='0.645' style='background:rgba(0,114,178,0.51)'>0.645</td><td class='num shaded' data-sort='0.898' style='background:rgba(213,94,0,0.68)'>0.898</td><td class='num' data-sort='0.4'>0.4</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='6'><span class='medal'></span>6</td><td class='method' data-sort='ElasticNet'>ElasticNet</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1284.0'>1284<span class='sub'>+42 / βˆ’40</span></td><td class='num' data-sort='6.95'>6.95</td><td class='num' data-sort='24.4'>24.4</td><td class='num shaded' data-sort='0.509' style='background:rgba(0,114,178,0.42)'>0.509</td><td class='num shaded' data-sort='0.915' style='background:rgba(213,94,0,0.69)'>0.915</td><td class='num' data-sort='7.5'>7.5</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='7'><span class='medal'></span>7</td><td class='method' data-sort='SFS'>SFS</td><td class='' data-sort='Forward search'><span class='pill cat-search'>Forward search</span><span class='sub'>search</span></td><td class='num' data-sort='1270.0'>1270<span class='sub'>+44 / βˆ’46</span></td><td class='num' data-sort='7.13'>7.13</td><td class='num' data-sort='24.5'>24.5</td><td class='num shaded' data-sort='0.368' style='background:rgba(0,114,178,0.33)'>0.368</td><td class='num shaded' data-sort='0.75' style='background:rgba(213,94,0,0.58)'>0.750</td><td class='num' data-sort='941.9'>941.9</td><td class='num' data-sort='29.1'>29.1</td></tr><tr><td class='num' data-sort='8'><span class='medal'></span>8</td><td class='method' data-sort='mRMR'>mRMR</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1255.0'>1255<span class='sub'>+39 / βˆ’38</span></td><td class='num' data-sort='7.68'>7.68</td><td class='num' data-sort='24.7'>24.7</td><td class='num shaded' data-sort='0.528' style='background:rgba(0,114,178,0.43)'>0.528</td><td class='num shaded' data-sort='0.779' style='background:rgba(213,94,0,0.60)'>0.779</td><td class='num' data-sort='0.3'>0.3</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='9'><span class='medal'></span>9</td><td class='method' data-sort='Lasso'>Lasso</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1250.0'>1250<span class='sub'>+36 / βˆ’41</span></td><td class='num' data-sort='7.42'>7.42</td><td class='num' data-sort='25.7'>25.7</td><td class='num shaded' data-sort='0.421' style='background:rgba(0,114,178,0.36)'>0.421</td><td class='num shaded' data-sort='0.89' style='background:rgba(213,94,0,0.68)'>0.890</td><td class='num' data-sort='2.2'>2.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='10'><span class='medal'></span>10</td><td class='method' data-sort='GainRatio'>GainRatio</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1242.0'>1242<span class='sub'>+37 / βˆ’39</span></td><td class='num' data-sort='7.98'>7.98</td><td class='num' data-sort='26.5'>26.5</td><td class='num shaded' data-sort='0.679' style='background:rgba(0,114,178,0.53)'>0.679</td><td class='num shaded' data-sort='0.942' style='background:rgba(213,94,0,0.71)'>0.942</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='11'><span class='medal'></span>11</td><td class='method' data-sort='(R)ReliefF'>(R)ReliefF</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='1206.0'>1206<span class='sub'>+44 / βˆ’45</span></td><td class='num' data-sort='8.47'>8.47</td><td class='num' data-sort='28.4'>28.4</td><td class='num shaded' data-sort='0.642' style='background:rgba(0,114,178,0.51)'>0.642</td><td class='num shaded' data-sort='0.873' style='background:rgba(213,94,0,0.66)'>0.873</td><td class='num' data-sort='14.2'>14.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='12'><span class='medal'></span>12</td><td class='method' data-sort='SBE'>SBE</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1186.0'>1186<span class='sub'>+48 / βˆ’47</span></td><td class='num' data-sort='8.7'>8.70</td><td class='num' data-sort='30.3'>30.3</td><td class='num shaded' data-sort='0.195' style='background:rgba(0,114,178,0.21)'>0.195</td><td class='num shaded' data-sort='0.621' style='background:rgba(213,94,0,0.50)'>0.621</td><td class='num' data-sort='3579.1'>3,579.1</td><td class='num' data-sort='49.6'>49.6</td></tr><tr><td class='num' data-sort='13'><span class='medal'></span>13</td><td class='method' data-sort='LOCO'>LOCO</td><td class='' data-sort='Leave-one-out'><span class='pill cat-search'>Leave-one-out</span><span class='sub'>search</span></td><td class='num' data-sort='1176.0'>1176<span class='sub'>+42 / βˆ’41</span></td><td class='num' data-sort='8.54'>8.54</td><td class='num' data-sort='29.9'>29.9</td><td class='num shaded' data-sort='0.299' style='background:rgba(0,114,178,0.28)'>0.299</td><td class='num shaded' data-sort='0.665' style='background:rgba(213,94,0,0.53)'>0.665</td><td class='num' data-sort='242.0'>242.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='14'><span class='medal'></span>14</td><td class='method' data-sort='Random'>Random</td><td class='' data-sort='Baseline'><span class='pill cat-baseline'>Baseline</span></td><td class='num' data-sort='1000.0'>1000<span class='sub'>+46 / βˆ’54</span></td><td class='num' data-sort='11.38'>11.38</td><td class='num' data-sort='42.0'>42.0</td><td class='num shaded' data-sort='-0.001' style='background:rgba(0,114,178,0.08)'>-0.001</td><td class='num shaded' data-sort='0.493' style='background:rgba(213,94,0,0.41)'>0.493</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='15'><span class='medal'></span>15</td><td class='method' data-sort='LaplacianScore'>LaplacianScore</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='963.0'>963<span class='sub'>+61 / βˆ’72</span></td><td class='num' data-sort='12.16'>12.16</td><td class='num' data-sort='45.3'>45.3</td><td class='num shaded' data-sort='0.588' style='background:rgba(0,114,178,0.47)'>0.588</td><td class='num shaded' data-sort='0.847' style='background:rgba(213,94,0,0.65)'>0.847</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr></tbody></table></div><script type='text/plain' id='sa-csv'>Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Avg. rank,Win rate (%),Improvability (%),Error vs. all features,Stability,Validity,Selection time (s),Fallback rate (%),#Datasets,#Comparisons
36
- 1,RFImportance,Non-search,Tree,1343.0,1297.0,1395.0,6.29,62.2,20.0,,0.628,0.805,0.2,0.0,71,1065
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- 2,CART,Non-search,Tree,1315.0,1273.0,1362.0,6.56,60.3,22.6,,0.484,0.731,0.1,0.0,71,1065
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- 3,MarkovBlanket,Search,Backward search,1308.0,1267.0,1352.0,6.67,59.5,21.8,,0.418,0.465,0.2,0.0,71,1065
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- 4,F-Test,Non-search,Correlation,1290.0,1250.0,1331.0,7.11,56.4,23.8,,0.725,0.952,0.0,0.0,71,1065
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- 5,MI,Non-search,Information theory,1290.0,1255.0,1324.0,6.95,57.5,23.0,,0.645,0.898,0.4,0.0,71,1065
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- 6,ElasticNet,Non-search,Regularization,1284.0,1244.0,1326.0,6.95,57.5,24.4,,0.509,0.915,7.5,0.0,71,1065
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- 7,SFS,Search,Forward search,1270.0,1224.0,1314.0,7.13,56.2,24.5,,0.368,0.75,941.9,29.1,71,1065
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- 8,mRMR,Non-search,Information theory,1255.0,1217.0,1294.0,7.68,52.3,24.7,,0.528,0.779,0.3,0.0,71,1065
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- 9,Lasso,Non-search,Regularization,1250.0,1209.0,1286.0,7.42,54.1,25.7,,0.421,0.89,2.2,0.0,71,1065
45
- 10,GainRatio,Non-search,Information theory,1242.0,1203.0,1279.0,7.98,50.1,26.5,,0.679,0.942,0.2,0.0,71,1065
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- 11,(R)ReliefF,Non-search,Distance,1206.0,1161.0,1250.0,8.47,46.6,28.4,,0.642,0.873,14.2,0.0,71,1065
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- 12,SBE,Search,Backward search,1186.0,1139.0,1234.0,8.7,45.0,30.3,,0.195,0.621,3579.1,49.6,71,1065
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- 13,LOCO,Search,Leave-one-out,1176.0,1135.0,1218.0,8.54,46.1,29.9,,0.299,0.665,242.0,0.0,71,1065
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- 14,Random,Baseline,Baseline,1000.0,946.0,1046.0,11.38,25.9,42.0,,-0.001,0.493,0.0,0.0,71,1065
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- 15,LaplacianScore,Non-search,Distance,963.0,891.0,1024.0,12.16,20.3,45.3,,0.588,0.847,0.2,0.0,71,1065
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  </script><script>
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  // sends {saTheme: 'light' | 'dark' | null}; without either, the page follows the system setting.
 
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  .pill.cat-baseline { color:var(--muted); }
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  .medal { display:inline-block; width:1.4em; text-align:center; font-size:15px; line-height:1; }
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  td.shaded { font-weight:600; }
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+ </style></head><body><div class='toolbar'><span class='hint'>Click a column to sort. Hover a header for its definition. Stability and validity are shaded as in the Elo figure: darker is better.</span><button onclick="saCsv('selectarena_leaderboard.csv')">CSV</button></div><div class='wrap'><table id='sa-table'><thead><tr><th class='num' title='Rank by Elo.'>#</th><th class=''>Method</th><th class='' title='Taxonomy of the paper (Appendix A). Search methods evaluate many feature subsets with the model (forward, backward, leave-one-out); non-search methods use a proxy instead (correlation, distance, information theory, tree, regularization).'>Type</th><th class='num' title='Bradley-Terry Elo from pairwise matches within each dataset, budget and downstream model. Random = 1000. +/βˆ’ give the 95% bootstrap interval.'>Elo ↑</th><th class='num' title='Mean reduction of the downstream error compared with random selection on the same dataset, in % (as in the Pareto figure; Random is 0).'>Improvement over Random ↑</th><th class='num' title='Agreement of the selected features across bootstrap resamples (Nogueira et al., 2018).'>Stability ↑</th><th class='num' title='Share of the budget filled with original features when as many noise features are added.'>Validity ↑</th><th class='num' title='Median wall-clock time of the selection.'>Time (s) ↓</th><th class='num' title='Share of runs where the method ran out of time and random features filled the budget.'>Fallback (%)</th></tr></thead><tbody><tr><td class='num' data-sort='1'><span class='medal' role='img' aria-label='gold medal'>πŸ₯‡</span>1</td><td class='method' data-sort='RFImportance'>RFImportance</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1343.0'>1343<span class='sub'>+52 / βˆ’46</span></td><td class='num' data-sort='29.9'>29.9</td><td class='num shaded' data-sort='0.628' style='background:rgba(0,114,178,0.50)'>0.628</td><td class='num shaded' data-sort='0.805' style='background:rgba(213,94,0,0.62)'>0.805</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='2'><span class='medal' role='img' aria-label='silver medal'>πŸ₯ˆ</span>2</td><td class='method' data-sort='CART'>CART</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1315.0'>1315<span class='sub'>+47 / βˆ’42</span></td><td class='num' data-sort='27.6'>27.6</td><td class='num shaded' data-sort='0.484' style='background:rgba(0,114,178,0.40)'>0.484</td><td class='num shaded' data-sort='0.731' style='background:rgba(213,94,0,0.57)'>0.731</td><td class='num' data-sort='0.1'>0.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='3'><span class='medal' role='img' aria-label='bronze medal'>πŸ₯‰</span>3</td><td class='method' data-sort='MarkovBlanket'>MarkovBlanket</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1308.0'>1308<span class='sub'>+44 / βˆ’41</span></td><td class='num' data-sort='26.8'>26.8</td><td class='num shaded' data-sort='0.418' style='background:rgba(0,114,178,0.36)'>0.418</td><td class='num shaded' data-sort='0.465' style='background:rgba(213,94,0,0.39)'>0.465</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='4'><span class='medal'></span>4</td><td class='method' data-sort='F-Test'>F-Test</td><td class='' data-sort='Correlation'><span class='pill cat-non-search'>Correlation</span><span class='sub'>non-search</span></td><td class='num' data-sort='1290.0'>1290<span class='sub'>+41 / βˆ’40</span></td><td class='num' data-sort='28.3'>28.3</td><td class='num shaded' data-sort='0.725' style='background:rgba(0,114,178,0.57)'>0.725</td><td class='num shaded' data-sort='0.952' style='background:rgba(213,94,0,0.72)'>0.952</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='5'><span class='medal'></span>5</td><td class='method' data-sort='MI'>MI</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1290.0'>1290<span class='sub'>+34 / βˆ’35</span></td><td class='num' data-sort='28.7'>28.7</td><td class='num shaded' data-sort='0.645' style='background:rgba(0,114,178,0.51)'>0.645</td><td class='num shaded' data-sort='0.898' style='background:rgba(213,94,0,0.68)'>0.898</td><td class='num' data-sort='0.4'>0.4</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='6'><span class='medal'></span>6</td><td class='method' data-sort='ElasticNet'>ElasticNet</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1284.0'>1284<span class='sub'>+42 / βˆ’40</span></td><td class='num' data-sort='25.6'>25.6</td><td class='num shaded' data-sort='0.509' style='background:rgba(0,114,178,0.42)'>0.509</td><td class='num shaded' data-sort='0.915' style='background:rgba(213,94,0,0.69)'>0.915</td><td class='num' data-sort='7.5'>7.5</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='7'><span class='medal'></span>7</td><td class='method' data-sort='SFS'>SFS</td><td class='' data-sort='Forward search'><span class='pill cat-search'>Forward search</span><span class='sub'>search</span></td><td class='num' data-sort='1270.0'>1270<span class='sub'>+44 / βˆ’46</span></td><td class='num' data-sort='23.7'>23.7</td><td class='num shaded' data-sort='0.368' style='background:rgba(0,114,178,0.33)'>0.368</td><td class='num shaded' data-sort='0.75' style='background:rgba(213,94,0,0.58)'>0.750</td><td class='num' data-sort='941.9'>941.9</td><td class='num' data-sort='29.1'>29.1</td></tr><tr><td class='num' data-sort='8'><span class='medal'></span>8</td><td class='method' data-sort='mRMR'>mRMR</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1255.0'>1255<span class='sub'>+39 / βˆ’38</span></td><td class='num' data-sort='25.5'>25.5</td><td class='num shaded' data-sort='0.528' style='background:rgba(0,114,178,0.43)'>0.528</td><td class='num shaded' data-sort='0.779' style='background:rgba(213,94,0,0.60)'>0.779</td><td class='num' data-sort='0.3'>0.3</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='9'><span class='medal'></span>9</td><td class='method' data-sort='Lasso'>Lasso</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1250.0'>1250<span class='sub'>+36 / βˆ’41</span></td><td class='num' data-sort='24.1'>24.1</td><td class='num shaded' data-sort='0.421' style='background:rgba(0,114,178,0.36)'>0.421</td><td class='num shaded' data-sort='0.89' style='background:rgba(213,94,0,0.68)'>0.890</td><td class='num' data-sort='2.2'>2.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='10'><span class='medal'></span>10</td><td class='method' data-sort='GainRatio'>GainRatio</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1242.0'>1242<span class='sub'>+37 / βˆ’39</span></td><td class='num' data-sort='23.6'>23.6</td><td class='num shaded' data-sort='0.679' style='background:rgba(0,114,178,0.53)'>0.679</td><td class='num shaded' data-sort='0.942' style='background:rgba(213,94,0,0.71)'>0.942</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='11'><span class='medal'></span>11</td><td class='method' data-sort='(R)ReliefF'>(R)ReliefF</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='1206.0'>1206<span class='sub'>+44 / βˆ’45</span></td><td class='num' data-sort='20.4'>20.4</td><td class='num shaded' data-sort='0.642' style='background:rgba(0,114,178,0.51)'>0.642</td><td class='num shaded' data-sort='0.873' style='background:rgba(213,94,0,0.66)'>0.873</td><td class='num' data-sort='14.2'>14.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='12'><span class='medal'></span>12</td><td class='method' data-sort='SBE'>SBE</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1186.0'>1186<span class='sub'>+48 / βˆ’47</span></td><td class='num' data-sort='12.5'>12.5</td><td class='num shaded' data-sort='0.195' style='background:rgba(0,114,178,0.21)'>0.195</td><td class='num shaded' data-sort='0.621' style='background:rgba(213,94,0,0.50)'>0.621</td><td class='num' data-sort='3579.1'>3,579.1</td><td class='num' data-sort='49.6'>49.6</td></tr><tr><td class='num' data-sort='13'><span class='medal'></span>13</td><td class='method' data-sort='LOCO'>LOCO</td><td class='' data-sort='Leave-one-out'><span class='pill cat-search'>Leave-one-out</span><span class='sub'>search</span></td><td class='num' data-sort='1176.0'>1176<span class='sub'>+42 / βˆ’41</span></td><td class='num' data-sort='15.3'>15.3</td><td class='num shaded' data-sort='0.299' style='background:rgba(0,114,178,0.28)'>0.299</td><td class='num shaded' data-sort='0.665' style='background:rgba(213,94,0,0.53)'>0.665</td><td class='num' data-sort='242.0'>242.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='14'><span class='medal'></span>14</td><td class='method' data-sort='Random'>Random</td><td class='' data-sort='Baseline'><span class='pill cat-baseline'>Baseline</span></td><td class='num' data-sort='1000.0'>1000<span class='sub'>+46 / βˆ’54</span></td><td class='num' data-sort='0.0'>0.0</td><td class='num shaded' data-sort='-0.001' style='background:rgba(0,114,178,0.08)'>-0.001</td><td class='num shaded' data-sort='0.493' style='background:rgba(213,94,0,0.41)'>0.493</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='15'><span class='medal'></span>15</td><td class='method' data-sort='LaplacianScore'>LaplacianScore</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='963.0'>963<span class='sub'>+61 / βˆ’72</span></td><td class='num' data-sort='-14.7'>-14.7</td><td class='num shaded' data-sort='0.588' style='background:rgba(0,114,178,0.47)'>0.588</td><td class='num shaded' data-sort='0.847' style='background:rgba(213,94,0,0.65)'>0.847</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr></tbody></table></div><script type='text/plain' id='sa-csv'>Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Improvement over Random (%),Stability,Validity,Selection time (s),Fallback rate (%)
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opacity='0.6'/><text class='sa-dim sa-halo' x='793.3' y='53.7' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='400'>ElasticNet</text><line class='sa-ink' x1='454.0' y1='79.6' x2='553.5' y2='122.4' stroke-width='1' opacity='0.6'/><text class='sa-dim sa-halo' x='553.5' y='122.4' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='400'>mRMR</text><line class='sa-ink' x1='684.5' y1='94.4' x2='732.2' y2='121.2' stroke-width='1' opacity='0.6'/><text class='sa-dim sa-halo' x='732.2' y='121.2' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='400'>Lasso</text><line class='sa-ink' x1='778.9' y1='98.7' x2='803.5' y2='87.2' stroke-width='1' opacity='0.6'/><text class='sa-dim sa-halo' x='803.5' y='87.2' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='400'>SFS</text><line class='sa-ink' x1='442.0' y1='100.3' x2='411.2' y2='123.7' stroke-width='1' opacity='0.6'/><text class='sa-dim sa-halo' x='411.2' y='123.7' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='400'>GainRatio</text><line class='sa-ink' x1='795.9' y1='133.8' x2='797.0' y2='160.6' stroke-width='1' opacity='0.6'/><text class='sa-dim sa-halo' x='797.0' y='160.6' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='400'>(R)ReliefF</text><line class='sa-ink' x1='731.5' y1='188.2' x2='698.7' y2='201.9' stroke-width='1' opacity='0.6'/><text class='sa-dim sa-halo' x='698.7' y='201.9' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='400'>LOCO</text><line class='sa-ink' x1='812.3' y1='218.4' x2='787.8' y2='232.2' stroke-width='1' opacity='0.6'/><text class='sa-dim sa-halo' x='787.8' y='232.2' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='400'>SBE</text><line class='sa-ink' x1='102.5' y1='352.0' x2='156.2' y2='337.8' stroke-width='1' opacity='0.6'/><text class='sa-text sa-halo' x='156.2' y='337.8' 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36
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x1='644.0' x2='644.0' y1='16.2' y2='368.0'/><text class='sa-text' x='644.0' y='390.5' text-anchor='middle' font-size='15'>10<tspan dy='-7' font-size='10'>3</tspan></text><line class='sa-grid' x1='753.5' x2='753.5' y1='16.2' y2='368.0'/><text class='sa-text' x='753.5' y='390.5' text-anchor='middle' font-size='15'>10<tspan dy='-7' font-size='10'>4</tspan></text><line class='sa-grid' x1='67.0' x2='847.8' y1='352.0' y2='352.0'/><text class='sa-text' x='58.0' y='358.0' text-anchor='end' font-size='15'>0</text><line class='sa-grid' x1='67.0' x2='847.8' y1='298.6' y2='298.6'/><text class='sa-text' x='58.0' y='304.6' text-anchor='end' font-size='15'>5</text><line class='sa-grid' x1='67.0' x2='847.8' y1='245.2' y2='245.2'/><text class='sa-text' x='58.0' y='251.2' text-anchor='end' font-size='15'>10</text><line class='sa-grid' x1='67.0' x2='847.8' y1='191.8' y2='191.8'/><text class='sa-text' x='58.0' y='197.8' text-anchor='end' font-size='15'>15</text><line class='sa-grid' x1='67.0' x2='847.8' y1='138.4' y2='138.4'/><text class='sa-text' x='58.0' y='144.4' text-anchor='end' font-size='15'>20</text><line class='sa-grid' x1='67.0' x2='847.8' y1='85.0' y2='85.0'/><text class='sa-text' x='58.0' y='91.0' text-anchor='end' font-size='15'>25</text><line class='sa-grid' x1='67.0' x2='847.8' y1='31.6' y2='31.6'/><text class='sa-text' x='58.0' y='37.6' text-anchor='end' font-size='15'>30</text><rect class='sa-frame-line' x='67.0' y='16.2' width='780.8' height='351.8'/><text class='sa-text' x='457.4' y='420.0' text-anchor='middle' font-size='15'>Feature Selection Time (s) per 1k Features</text><text class='sa-text' transform='translate(21.0 192.1) rotate(-90)' text-anchor='middle' font-size='15'>Improvement over Random (%)</text><defs><marker id='sa-arrow' viewBox='0 0 10 10' refX='9' refY='5' markerWidth='7' markerHeight='7' orient='auto-start-reverse'><path d='M0,0 L10,5 L0,10' fill='none' stroke='#009E73' stroke-width='1.6'/></marker></defs><line x1='109.6' y1='51.9' x2='69.0' 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x='413.7' y='121.5' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='400'>GainRatio</text><text class='sa-dim sa-halo' x='797.0' y='149.8' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='400'>(R)ReliefF</text><line class='sa-ink' x1='731.5' y1='188.2' x2='698.7' y2='201.9' stroke-width='1' opacity='0.6'/><text class='sa-dim sa-halo' x='698.7' y='201.9' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='400'>LOCO</text><line class='sa-ink' x1='812.3' y1='218.4' x2='787.8' y2='232.2' stroke-width='1' opacity='0.6'/><text class='sa-dim sa-halo' x='787.8' y='232.2' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='400'>SBE</text><line class='sa-ink' x1='102.5' y1='352.0' x2='156.2' y2='337.8' stroke-width='1' opacity='0.6'/><text class='sa-text sa-halo' x='156.2' y='337.8' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='700'>Random</text><rect 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over Random: 28.7%&#10;Selection time per 1k features: 51.4 s&#10;Datasets: 71&#10;Next to RFImportance: 29.9%, 45 s'/><circle class='sa-hit' cx='305.1' cy='49.9' r='10.5' data-tip='F-Test (on the Pareto front)&#10;Improvement over Random: 28.3%&#10;Selection time per 1k features: 0.802 s&#10;Datasets: 71' aria-label='F-Test (on the Pareto front)&#10;Improvement over Random: 28.3%&#10;Selection time per 1k features: 0.802 s&#10;Datasets: 71'/><circle class='sa-hit' cx='446.4' cy='57.0' r='10.5' data-tip='CART&#10;Improvement over Random: 27.6%&#10;Selection time per 1k features: 15.7 s&#10;Datasets: 71&#10;Next to MarkovBlanket: 26.8%, 21.6 s' aria-label='CART&#10;Improvement over Random: 27.6%&#10;Selection time per 1k features: 15.7 s&#10;Datasets: 71&#10;Next to MarkovBlanket: 26.8%, 21.6 s'/><circle class='sa-hit' cx='461.7' cy='65.6' r='10.5' data-tip='MarkovBlanket&#10;Improvement over Random: 26.8%&#10;Selection time per 1k features: 21.6 s&#10;Datasets: 71&#10;Next to CART: 27.6%, 15.7 s&#10;Next to mRMR: 25.5%, 18.4 s' aria-label='MarkovBlanket&#10;Improvement over Random: 26.8%&#10;Selection time per 1k features: 21.6 s&#10;Datasets: 71&#10;Next to CART: 27.6%, 15.7 s&#10;Next to mRMR: 25.5%, 18.4 s'/><circle class='sa-hit' cx='686.3' cy='78.3' r='10.5' data-tip='ElasticNet&#10;Improvement over Random: 25.6%&#10;Selection time per 1k features: 2.43e+03 s&#10;Datasets: 71&#10;Next to Lasso: 24.1%, 2.35e+03 s' aria-label='ElasticNet&#10;Improvement over Random: 25.6%&#10;Selection time per 1k features: 2.43e+03 s&#10;Datasets: 71&#10;Next to Lasso: 24.1%, 2.35e+03 s'/><circle class='sa-hit' cx='454.0' cy='79.6' r='10.5' data-tip='mRMR&#10;Improvement over Random: 25.5%&#10;Selection time per 1k features: 18.4 s&#10;Datasets: 71&#10;Next to MarkovBlanket: 26.8%, 21.6 s' aria-label='mRMR&#10;Improvement over Random: 25.5%&#10;Selection time per 1k features: 18.4 s&#10;Datasets: 71&#10;Next to MarkovBlanket: 26.8%, 21.6 s'/><circle class='sa-hit' cx='684.5' cy='94.4' r='10.5' data-tip='Lasso&#10;Improvement over Random: 24.1%&#10;Selection time per 1k features: 2.35e+03 s&#10;Datasets: 71&#10;Next to ElasticNet: 25.6%, 2.43e+03 s' aria-label='Lasso&#10;Improvement over Random: 24.1%&#10;Selection time per 1k features: 2.35e+03 s&#10;Datasets: 71&#10;Next to ElasticNet: 25.6%, 2.43e+03 s'/><circle class='sa-hit' cx='778.9' cy='98.7' r='10.5' data-tip='SFS&#10;Improvement over Random: 23.7%&#10;Selection time per 1k features: 1.71e+04 s&#10;Datasets: 71' aria-label='SFS&#10;Improvement over Random: 23.7%&#10;Selection time per 1k features: 1.71e+04 s&#10;Datasets: 71'/><circle class='sa-hit' cx='442.0' cy='100.3' r='10.5' data-tip='GainRatio&#10;Improvement over Random: 23.6%&#10;Selection time per 1k features: 14.3 s&#10;Datasets: 71' aria-label='GainRatio&#10;Improvement over Random: 23.6%&#10;Selection time per 1k features: 14.3 s&#10;Datasets: 71'/><circle class='sa-hit' cx='795.9' cy='133.8' r='10.5' data-tip='(R)ReliefF&#10;Improvement over Random: 20.4%&#10;Selection time per 1k features: 2.44e+04 s&#10;Datasets: 71' aria-label='(R)ReliefF&#10;Improvement over Random: 20.4%&#10;Selection time per 1k features: 2.44e+04 s&#10;Datasets: 71'/><circle class='sa-hit' cx='731.5' cy='188.2' r='10.5' data-tip='LOCO&#10;Improvement over Random: 15.3%&#10;Selection time per 1k features: 6.3e+03 s&#10;Datasets: 71' aria-label='LOCO&#10;Improvement over Random: 15.3%&#10;Selection time per 1k features: 6.3e+03 s&#10;Datasets: 71'/><circle class='sa-hit' cx='812.3' cy='218.4' r='10.5' data-tip='SBE&#10;Improvement over Random: 12.5%&#10;Selection time per 1k features: 3.45e+04 s&#10;Datasets: 71' aria-label='SBE&#10;Improvement over Random: 12.5%&#10;Selection time per 1k features: 3.45e+04 s&#10;Datasets: 71'/><circle class='sa-hit' cx='102.5' cy='352.0' r='10.5' data-tip='Random (on the Pareto front)&#10;Improvement over Random: 0.0%&#10;Selection time per 1k features: 0.0113 s&#10;Datasets: 71' aria-label='Random (on the Pareto front)&#10;Improvement over Random: 0.0%&#10;Selection time per 1k features: 0.0113 s&#10;Datasets: 71'/></svg><script type='text/plain' id='sa-csv'>method,improvement,time_per_1k,n_datasets,pareto_optimal
36
  RFImportance,29.9487,44.9997,71,True
37
  MI,28.6934,51.3992,71,False
38
  F-Test,28.2875,0.8021,71,True
data/subsets/tasks_all/models_all/budgets_0/website_leaderboard.csv CHANGED
@@ -1,16 +1,16 @@
1
- Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Avg. rank,Win rate (%),Improvability (%),Error vs. all features,Stability,Validity,Selection time (s),Fallback rate (%),#Datasets,#Comparisons
2
- 1,RFImportance,Non-search,Tree,1343.0,1297.0,1395.0,6.29,62.2,20.0,,0.628,0.805,0.2,0.0,71,1065
3
- 2,CART,Non-search,Tree,1315.0,1273.0,1362.0,6.56,60.3,22.6,,0.484,0.731,0.1,0.0,71,1065
4
- 3,MarkovBlanket,Search,Backward search,1308.0,1267.0,1352.0,6.67,59.5,21.8,,0.418,0.465,0.2,0.0,71,1065
5
- 4,F-Test,Non-search,Correlation,1290.0,1250.0,1331.0,7.11,56.4,23.8,,0.725,0.952,0.0,0.0,71,1065
6
- 5,MI,Non-search,Information theory,1290.0,1255.0,1324.0,6.95,57.5,23.0,,0.645,0.898,0.4,0.0,71,1065
7
- 6,ElasticNet,Non-search,Regularization,1284.0,1244.0,1326.0,6.95,57.5,24.4,,0.509,0.915,7.5,0.0,71,1065
8
- 7,SFS,Search,Forward search,1270.0,1224.0,1314.0,7.13,56.2,24.5,,0.368,0.75,941.9,29.1,71,1065
9
- 8,mRMR,Non-search,Information theory,1255.0,1217.0,1294.0,7.68,52.3,24.7,,0.528,0.779,0.3,0.0,71,1065
10
- 9,Lasso,Non-search,Regularization,1250.0,1209.0,1286.0,7.42,54.1,25.7,,0.421,0.89,2.2,0.0,71,1065
11
- 10,GainRatio,Non-search,Information theory,1242.0,1203.0,1279.0,7.98,50.1,26.5,,0.679,0.942,0.2,0.0,71,1065
12
- 11,(R)ReliefF,Non-search,Distance,1206.0,1161.0,1250.0,8.47,46.6,28.4,,0.642,0.873,14.2,0.0,71,1065
13
- 12,SBE,Search,Backward search,1186.0,1139.0,1234.0,8.7,45.0,30.3,,0.195,0.621,3579.1,49.6,71,1065
14
- 13,LOCO,Search,Leave-one-out,1176.0,1135.0,1218.0,8.54,46.1,29.9,,0.299,0.665,242.0,0.0,71,1065
15
- 14,Random,Baseline,Baseline,1000.0,946.0,1046.0,11.38,25.9,42.0,,-0.001,0.493,0.0,0.0,71,1065
16
- 15,LaplacianScore,Non-search,Distance,963.0,891.0,1024.0,12.16,20.3,45.3,,0.588,0.847,0.2,0.0,71,1065
 
1
+ Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Avg. rank,Win rate (%),Improvability (%),Improvement over Random (%),Error vs. all features,Stability,Validity,Selection time (s),Fallback rate (%),#Datasets,#Comparisons
2
+ 1,RFImportance,Non-search,Tree,1343.0,1297.0,1395.0,6.29,62.2,20.0,29.9,,0.628,0.805,0.2,0.0,71,1065
3
+ 2,CART,Non-search,Tree,1315.0,1273.0,1362.0,6.56,60.3,22.6,27.6,,0.484,0.731,0.1,0.0,71,1065
4
+ 3,MarkovBlanket,Search,Backward search,1308.0,1267.0,1352.0,6.67,59.5,21.8,26.8,,0.418,0.465,0.2,0.0,71,1065
5
+ 4,F-Test,Non-search,Correlation,1290.0,1250.0,1331.0,7.11,56.4,23.8,28.3,,0.725,0.952,0.0,0.0,71,1065
6
+ 5,MI,Non-search,Information theory,1290.0,1255.0,1324.0,6.95,57.5,23.0,28.7,,0.645,0.898,0.4,0.0,71,1065
7
+ 6,ElasticNet,Non-search,Regularization,1284.0,1244.0,1326.0,6.95,57.5,24.4,25.6,,0.509,0.915,7.5,0.0,71,1065
8
+ 7,SFS,Search,Forward search,1270.0,1224.0,1314.0,7.13,56.2,24.5,23.7,,0.368,0.75,941.9,29.1,71,1065
9
+ 8,mRMR,Non-search,Information theory,1255.0,1217.0,1294.0,7.68,52.3,24.7,25.5,,0.528,0.779,0.3,0.0,71,1065
10
+ 9,Lasso,Non-search,Regularization,1250.0,1209.0,1286.0,7.42,54.1,25.7,24.1,,0.421,0.89,2.2,0.0,71,1065
11
+ 10,GainRatio,Non-search,Information theory,1242.0,1203.0,1279.0,7.98,50.1,26.5,23.6,,0.679,0.942,0.2,0.0,71,1065
12
+ 11,(R)ReliefF,Non-search,Distance,1206.0,1161.0,1250.0,8.47,46.6,28.4,20.4,,0.642,0.873,14.2,0.0,71,1065
13
+ 12,SBE,Search,Backward search,1186.0,1139.0,1234.0,8.7,45.0,30.3,12.5,,0.195,0.621,3579.1,49.6,71,1065
14
+ 13,LOCO,Search,Leave-one-out,1176.0,1135.0,1218.0,8.54,46.1,29.9,15.3,,0.299,0.665,242.0,0.0,71,1065
15
+ 14,Random,Baseline,Baseline,1000.0,946.0,1046.0,11.38,25.9,42.0,0.0,,-0.001,0.493,0.0,0.0,71,1065
16
+ 15,LaplacianScore,Non-search,Distance,963.0,891.0,1024.0,12.16,20.3,45.3,-14.7,,0.588,0.847,0.2,0.0,71,1065
data/subsets/tasks_all/models_all/budgets_1/leaderboard_table.html CHANGED
@@ -32,22 +32,22 @@ td.na { color:var(--muted); }
32
  .pill.cat-baseline { color:var(--muted); }
33
  .medal { display:inline-block; width:1.4em; text-align:center; font-size:15px; line-height:1; }
34
  td.shaded { font-weight:600; }
35
- </style></head><body><div class='toolbar'><span class='hint'>Click a column to sort. Hover a header for its definition. Stability and validity are shaded as in the Elo figure: darker is better.</span><button onclick="saCsv('selectarena_leaderboard.csv')">CSV</button></div><div class='wrap'><table id='sa-table'><thead><tr><th class='num' title='Rank by Elo.'>#</th><th class=''>Method</th><th class='' title='Taxonomy of the paper (Appendix A). Search methods evaluate many feature subsets with the model (forward, backward, leave-one-out); non-search methods use a proxy instead (correlation, distance, information theory, tree, regularization).'>Type</th><th class='num' title='Bradley-Terry Elo from pairwise matches within each dataset, budget and downstream model. Random = 1000. +/βˆ’ give the 95% bootstrap interval.'>Elo ↑</th><th class='num' title='Mean rank of the downstream error.'>Avg. rank ↓</th><th class='num' title='Mean relative gap (error βˆ’ best error) / error to the best method, in %.'>Improvability ↓</th><th class='num' title='Agreement of the selected features across bootstrap resamples (Nogueira et al., 2018).'>Stability ↑</th><th class='num' title='Share of the budget filled with original features when as many noise features are added.'>Validity ↑</th><th class='num' title='Median wall-clock time of the selection.'>Time (s) ↓</th><th class='num' title='Share of runs where the method ran out of time and random features filled the budget.'>Fallback (%)</th></tr></thead><tbody><tr><td class='num' data-sort='1'><span class='medal' role='img' aria-label='gold medal'>πŸ₯‡</span>1</td><td class='method' data-sort='RFImportance'>RFImportance</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1366.0'>1366<span class='sub'>+45 / βˆ’44</span></td><td class='num' data-sort='6.31'>6.31</td><td class='num' data-sort='17.8'>17.8</td><td class='num shaded' data-sort='0.653' style='background:rgba(0,114,178,0.52)'>0.653</td><td class='num shaded' data-sort='0.741' style='background:rgba(213,94,0,0.58)'>0.741</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='2'><span class='medal' role='img' aria-label='silver medal'>πŸ₯ˆ</span>2</td><td class='method' data-sort='ElasticNet'>ElasticNet</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1346.0'>1346<span class='sub'>+42 / βˆ’43</span></td><td class='num' data-sort='6.51'>6.51</td><td class='num' data-sort='20.6'>20.6</td><td class='num shaded' data-sort='0.519' style='background:rgba(0,114,178,0.43)'>0.519</td><td class='num shaded' data-sort='0.873' style='background:rgba(213,94,0,0.66)'>0.873</td><td class='num' data-sort='7.6'>7.6</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='3'><span class='medal' role='img' aria-label='bronze medal'>πŸ₯‰</span>3</td><td class='method' data-sort='CART'>CART</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1335.0'>1335<span class='sub'>+40 / βˆ’39</span></td><td class='num' data-sort='6.63'>6.63</td><td class='num' data-sort='20.9'>20.9</td><td class='num shaded' data-sort='0.456' style='background:rgba(0,114,178,0.39)'>0.456</td><td class='num shaded' data-sort='0.638' style='background:rgba(213,94,0,0.51)'>0.638</td><td class='num' data-sort='0.1'>0.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='4'><span class='medal'></span>4</td><td class='method' data-sort='Lasso'>Lasso</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1323.0'>1323<span class='sub'>+44 / βˆ’43</span></td><td class='num' data-sort='6.78'>6.78</td><td class='num' data-sort='20.2'>20.2</td><td class='num shaded' data-sort='0.422' style='background:rgba(0,114,178,0.36)'>0.422</td><td class='num shaded' data-sort='0.825' style='background:rgba(213,94,0,0.63)'>0.825</td><td class='num' data-sort='2.3'>2.3</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='5'><span class='medal'></span>5</td><td class='method' data-sort='MI'>MI</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1316.0'>1316<span class='sub'>+34 / βˆ’30</span></td><td class='num' data-sort='7.01'>7.01</td><td class='num' data-sort='21.2'>21.2</td><td class='num shaded' data-sort='0.673' style='background:rgba(0,114,178,0.53)'>0.673</td><td class='num shaded' data-sort='0.863' style='background:rgba(213,94,0,0.66)'>0.863</td><td class='num' data-sort='0.4'>0.4</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='6'><span class='medal'></span>6</td><td class='method' data-sort='MarkovBlanket'>MarkovBlanket</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1307.0'>1307<span class='sub'>+36 / βˆ’33</span></td><td class='num' data-sort='7.15'>7.15</td><td class='num' data-sort='22.8'>22.8</td><td class='num shaded' data-sort='0.396' style='background:rgba(0,114,178,0.35)'>0.396</td><td class='num shaded' data-sort='0.467' style='background:rgba(213,94,0,0.39)'>0.467</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='7'><span class='medal'></span>7</td><td class='method' data-sort='F-Test'>F-Test</td><td class='' data-sort='Correlation'><span class='pill cat-non-search'>Correlation</span><span class='sub'>non-search</span></td><td class='num' data-sort='1298.0'>1298<span class='sub'>+36 / βˆ’40</span></td><td class='num' data-sort='7.39'>7.39</td><td class='num' data-sort='23.2'>23.2</td><td class='num shaded' data-sort='0.734' style='background:rgba(0,114,178,0.57)'>0.734</td><td class='num shaded' data-sort='0.932' style='background:rgba(213,94,0,0.70)'>0.932</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='8'><span class='medal'></span>8</td><td class='method' data-sort='GainRatio'>GainRatio</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1273.0'>1273<span class='sub'>+34 / βˆ’36</span></td><td class='num' data-sort='7.82'>7.82</td><td class='num' data-sort='25.1'>25.1</td><td class='num shaded' data-sort='0.681' style='background:rgba(0,114,178,0.54)'>0.681</td><td class='num shaded' data-sort='0.915' style='background:rgba(213,94,0,0.69)'>0.915</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='9'><span class='medal'></span>9</td><td class='method' data-sort='mRMR'>mRMR</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1268.0'>1268<span class='sub'>+39 / βˆ’40</span></td><td class='num' data-sort='7.89'>7.89</td><td class='num' data-sort='23.8'>23.8</td><td class='num shaded' data-sort='0.578' style='background:rgba(0,114,178,0.47)'>0.578</td><td class='num shaded' data-sort='0.712' style='background:rgba(213,94,0,0.56)'>0.712</td><td class='num' data-sort='0.4'>0.4</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='10'><span class='medal'></span>10</td><td class='method' data-sort='(R)ReliefF'>(R)ReliefF</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='1257.0'>1257<span class='sub'>+40 / βˆ’39</span></td><td class='num' data-sort='8.18'>8.18</td><td class='num' data-sort='24.4'>24.4</td><td class='num shaded' data-sort='0.647' style='background:rgba(0,114,178,0.51)'>0.647</td><td class='num shaded' data-sort='0.808' style='background:rgba(213,94,0,0.62)'>0.808</td><td class='num' data-sort='14.3'>14.3</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='11'><span class='medal'></span>11</td><td class='method' data-sort='SFS'>SFS</td><td class='' data-sort='Forward search'><span class='pill cat-search'>Forward search</span><span class='sub'>search</span></td><td class='num' data-sort='1256.0'>1256<span class='sub'>+43 / βˆ’44</span></td><td class='num' data-sort='7.91'>7.91</td><td class='num' data-sort='25.0'>25.0</td><td class='num shaded' data-sort='0.278' style='background:rgba(0,114,178,0.27)'>0.278</td><td class='num shaded' data-sort='0.664' style='background:rgba(213,94,0,0.52)'>0.664</td><td class='num' data-sort='1634.9'>1,634.9</td><td class='num' data-sort='43.8'>43.8</td></tr><tr><td class='num' data-sort='12'><span class='medal'></span>12</td><td class='method' data-sort='SBE'>SBE</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1227.0'>1227<span class='sub'>+49 / βˆ’50</span></td><td class='num' data-sort='8.37'>8.37</td><td class='num' data-sort='28.2'>28.2</td><td class='num shaded' data-sort='0.175' style='background:rgba(0,114,178,0.20)'>0.175</td><td class='num shaded' data-sort='0.578' style='background:rgba(213,94,0,0.47)'>0.578</td><td class='num' data-sort='3166.2'>3,166.2</td><td class='num' data-sort='48.9'>48.9</td></tr><tr><td class='num' data-sort='13'><span class='medal'></span>13</td><td class='method' data-sort='LOCO'>LOCO</td><td class='' data-sort='Leave-one-out'><span class='pill cat-search'>Leave-one-out</span><span class='sub'>search</span></td><td class='num' data-sort='1219.0'>1219<span class='sub'>+43 / βˆ’42</span></td><td class='num' data-sort='8.54'>8.54</td><td class='num' data-sort='27.9'>27.9</td><td class='num shaded' data-sort='0.22' style='background:rgba(0,114,178,0.23)'>0.220</td><td class='num shaded' data-sort='0.613' style='background:rgba(213,94,0,0.49)'>0.613</td><td class='num' data-sort='237.3'>237.3</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='14'><span class='medal'></span>14</td><td class='method' data-sort='LaplacianScore'>LaplacianScore</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='1025.0'>1025<span class='sub'>+52 / βˆ’64</span></td><td class='num' data-sort='11.85'>11.85</td><td class='num' data-sort='42.2'>42.2</td><td class='num shaded' data-sort='0.644' style='background:rgba(0,114,178,0.51)'>0.644</td><td class='num shaded' data-sort='0.85' style='background:rgba(213,94,0,0.65)'>0.850</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='15'><span class='medal'></span>15</td><td class='method' data-sort='Random'>Random</td><td class='' data-sort='Baseline'><span class='pill cat-baseline'>Baseline</span></td><td class='num' data-sort='1000.0'>1000<span class='sub'>+41 / βˆ’47</span></td><td class='num' data-sort='11.64'>11.64</td><td class='num' data-sort='39.7'>39.7</td><td class='num shaded' data-sort='0.001' style='background:rgba(0,114,178,0.08)'>0.001</td><td class='num shaded' data-sort='0.499' style='background:rgba(213,94,0,0.41)'>0.499</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr></tbody></table></div><script type='text/plain' id='sa-csv'>Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Avg. rank,Win rate (%),Improvability (%),Error vs. all features,Stability,Validity,Selection time (s),Fallback rate (%),#Datasets,#Comparisons
36
- 1,RFImportance,Non-search,Tree,1366.0,1322.0,1411.0,6.31,62.1,17.8,,0.653,0.741,0.2,0.0,71,1065
37
- 2,ElasticNet,Non-search,Regularization,1346.0,1303.0,1388.0,6.51,60.6,20.6,,0.519,0.873,7.6,0.0,71,1065
38
- 3,CART,Non-search,Tree,1335.0,1296.0,1375.0,6.63,59.8,20.9,,0.456,0.638,0.1,0.0,71,1065
39
- 4,Lasso,Non-search,Regularization,1323.0,1280.0,1367.0,6.78,58.7,20.2,,0.422,0.825,2.3,0.0,71,1065
40
- 5,MI,Non-search,Information theory,1316.0,1286.0,1350.0,7.01,57.1,21.2,,0.673,0.863,0.4,0.0,71,1065
41
- 6,MarkovBlanket,Search,Backward search,1307.0,1274.0,1343.0,7.15,56.0,22.8,,0.396,0.467,0.2,0.0,71,1065
42
- 7,F-Test,Non-search,Correlation,1298.0,1258.0,1334.0,7.39,54.3,23.2,,0.734,0.932,0.0,0.0,71,1065
43
- 8,GainRatio,Non-search,Information theory,1273.0,1237.0,1307.0,7.82,51.3,25.1,,0.681,0.915,0.2,0.0,71,1065
44
- 9,mRMR,Non-search,Information theory,1268.0,1228.0,1307.0,7.89,50.8,23.8,,0.578,0.712,0.4,0.0,71,1065
45
- 10,(R)ReliefF,Non-search,Distance,1257.0,1218.0,1297.0,8.18,48.7,24.4,,0.647,0.808,14.3,0.0,71,1065
46
- 11,SFS,Search,Forward search,1256.0,1212.0,1299.0,7.91,50.6,25.0,,0.278,0.664,1634.9,43.8,71,1065
47
- 12,SBE,Search,Backward search,1227.0,1177.0,1276.0,8.37,47.3,28.2,,0.175,0.578,3166.2,48.9,71,1065
48
- 13,LOCO,Search,Leave-one-out,1219.0,1177.0,1262.0,8.54,46.1,27.9,,0.22,0.613,237.3,0.0,71,1065
49
- 14,LaplacianScore,Non-search,Distance,1025.0,961.0,1077.0,11.85,22.5,42.2,,0.644,0.85,0.2,0.0,71,1065
50
- 15,Random,Baseline,Baseline,1000.0,953.0,1041.0,11.64,24.0,39.7,,0.001,0.499,0.0,0.0,71,1065
51
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+ </style></head><body><div class='toolbar'><span class='hint'>Click a column to sort. Hover a header for its definition. Stability and validity are shaded as in the Elo figure: darker is better.</span><button onclick="saCsv('selectarena_leaderboard.csv')">CSV</button></div><div class='wrap'><table id='sa-table'><thead><tr><th class='num' title='Rank by Elo.'>#</th><th class=''>Method</th><th class='' title='Taxonomy of the paper (Appendix A). Search methods evaluate many feature subsets with the model (forward, backward, leave-one-out); non-search methods use a proxy instead (correlation, distance, information theory, tree, regularization).'>Type</th><th class='num' title='Bradley-Terry Elo from pairwise matches within each dataset, budget and downstream model. Random = 1000. +/βˆ’ give the 95% bootstrap interval.'>Elo ↑</th><th class='num' title='Mean reduction of the downstream error compared with random selection on the same dataset, in % (as in the Pareto figure; Random is 0).'>Improvement over Random ↑</th><th class='num' title='Agreement of the selected features across bootstrap resamples (Nogueira et al., 2018).'>Stability ↑</th><th class='num' title='Share of the budget filled with original features when as many noise features are added.'>Validity ↑</th><th class='num' title='Median wall-clock time of the selection.'>Time (s) ↓</th><th class='num' title='Share of runs where the method ran out of time and random features filled the budget.'>Fallback (%)</th></tr></thead><tbody><tr><td class='num' data-sort='1'><span class='medal' role='img' aria-label='gold medal'>πŸ₯‡</span>1</td><td class='method' data-sort='RFImportance'>RFImportance</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1366.0'>1366<span class='sub'>+45 / βˆ’44</span></td><td class='num' data-sort='29.3'>29.3</td><td class='num shaded' data-sort='0.653' style='background:rgba(0,114,178,0.52)'>0.653</td><td class='num shaded' data-sort='0.741' style='background:rgba(213,94,0,0.58)'>0.741</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='2'><span class='medal' role='img' aria-label='silver medal'>πŸ₯ˆ</span>2</td><td class='method' data-sort='ElasticNet'>ElasticNet</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1346.0'>1346<span class='sub'>+42 / βˆ’43</span></td><td class='num' data-sort='26.0'>26.0</td><td class='num shaded' data-sort='0.519' style='background:rgba(0,114,178,0.43)'>0.519</td><td class='num shaded' data-sort='0.873' style='background:rgba(213,94,0,0.66)'>0.873</td><td class='num' data-sort='7.6'>7.6</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='3'><span class='medal' role='img' aria-label='bronze medal'>πŸ₯‰</span>3</td><td class='method' data-sort='CART'>CART</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1335.0'>1335<span class='sub'>+40 / βˆ’39</span></td><td class='num' data-sort='27.1'>27.1</td><td class='num shaded' data-sort='0.456' style='background:rgba(0,114,178,0.39)'>0.456</td><td class='num shaded' data-sort='0.638' style='background:rgba(213,94,0,0.51)'>0.638</td><td class='num' data-sort='0.1'>0.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='4'><span class='medal'></span>4</td><td class='method' data-sort='Lasso'>Lasso</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1323.0'>1323<span class='sub'>+44 / βˆ’43</span></td><td class='num' data-sort='25.4'>25.4</td><td class='num shaded' data-sort='0.422' style='background:rgba(0,114,178,0.36)'>0.422</td><td class='num shaded' data-sort='0.825' style='background:rgba(213,94,0,0.63)'>0.825</td><td class='num' data-sort='2.3'>2.3</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='5'><span class='medal'></span>5</td><td class='method' data-sort='MI'>MI</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1316.0'>1316<span class='sub'>+34 / βˆ’30</span></td><td class='num' data-sort='27.5'>27.5</td><td class='num shaded' data-sort='0.673' style='background:rgba(0,114,178,0.53)'>0.673</td><td class='num shaded' data-sort='0.863' style='background:rgba(213,94,0,0.66)'>0.863</td><td class='num' data-sort='0.4'>0.4</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='6'><span class='medal'></span>6</td><td class='method' data-sort='MarkovBlanket'>MarkovBlanket</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1307.0'>1307<span class='sub'>+36 / βˆ’33</span></td><td class='num' data-sort='24.6'>24.6</td><td class='num shaded' data-sort='0.396' style='background:rgba(0,114,178,0.35)'>0.396</td><td class='num shaded' data-sort='0.467' style='background:rgba(213,94,0,0.39)'>0.467</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='7'><span class='medal'></span>7</td><td class='method' data-sort='F-Test'>F-Test</td><td class='' data-sort='Correlation'><span class='pill cat-non-search'>Correlation</span><span class='sub'>non-search</span></td><td class='num' data-sort='1298.0'>1298<span class='sub'>+36 / βˆ’40</span></td><td class='num' data-sort='25.9'>25.9</td><td class='num shaded' data-sort='0.734' style='background:rgba(0,114,178,0.57)'>0.734</td><td class='num shaded' data-sort='0.932' style='background:rgba(213,94,0,0.70)'>0.932</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='8'><span class='medal'></span>8</td><td class='method' data-sort='GainRatio'>GainRatio</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1273.0'>1273<span class='sub'>+34 / βˆ’36</span></td><td class='num' data-sort='23.7'>23.7</td><td class='num shaded' data-sort='0.681' style='background:rgba(0,114,178,0.54)'>0.681</td><td class='num shaded' data-sort='0.915' style='background:rgba(213,94,0,0.69)'>0.915</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='9'><span class='medal'></span>9</td><td class='method' data-sort='mRMR'>mRMR</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1268.0'>1268<span class='sub'>+39 / βˆ’40</span></td><td class='num' data-sort='24.6'>24.6</td><td class='num shaded' data-sort='0.578' style='background:rgba(0,114,178,0.47)'>0.578</td><td class='num shaded' data-sort='0.712' style='background:rgba(213,94,0,0.56)'>0.712</td><td class='num' data-sort='0.4'>0.4</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='10'><span class='medal'></span>10</td><td class='method' data-sort='(R)ReliefF'>(R)ReliefF</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='1257.0'>1257<span class='sub'>+40 / βˆ’39</span></td><td class='num' data-sort='21.3'>21.3</td><td class='num shaded' data-sort='0.647' style='background:rgba(0,114,178,0.51)'>0.647</td><td class='num shaded' data-sort='0.808' style='background:rgba(213,94,0,0.62)'>0.808</td><td class='num' data-sort='14.3'>14.3</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='11'><span class='medal'></span>11</td><td class='method' data-sort='SFS'>SFS</td><td class='' data-sort='Forward search'><span class='pill cat-search'>Forward search</span><span class='sub'>search</span></td><td class='num' data-sort='1256.0'>1256<span class='sub'>+43 / βˆ’44</span></td><td class='num' data-sort='21.6'>21.6</td><td class='num shaded' data-sort='0.278' style='background:rgba(0,114,178,0.27)'>0.278</td><td class='num shaded' data-sort='0.664' style='background:rgba(213,94,0,0.52)'>0.664</td><td class='num' data-sort='1634.9'>1,634.9</td><td class='num' data-sort='43.8'>43.8</td></tr><tr><td class='num' data-sort='12'><span class='medal'></span>12</td><td class='method' data-sort='SBE'>SBE</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1227.0'>1227<span class='sub'>+49 / βˆ’50</span></td><td class='num' data-sort='14.7'>14.7</td><td class='num shaded' data-sort='0.175' style='background:rgba(0,114,178,0.20)'>0.175</td><td class='num shaded' data-sort='0.578' style='background:rgba(213,94,0,0.47)'>0.578</td><td class='num' data-sort='3166.2'>3,166.2</td><td class='num' data-sort='48.9'>48.9</td></tr><tr><td class='num' data-sort='13'><span class='medal'></span>13</td><td class='method' data-sort='LOCO'>LOCO</td><td class='' data-sort='Leave-one-out'><span class='pill cat-search'>Leave-one-out</span><span class='sub'>search</span></td><td class='num' data-sort='1219.0'>1219<span class='sub'>+43 / βˆ’42</span></td><td class='num' data-sort='15.9'>15.9</td><td class='num shaded' data-sort='0.22' style='background:rgba(0,114,178,0.23)'>0.220</td><td class='num shaded' data-sort='0.613' style='background:rgba(213,94,0,0.49)'>0.613</td><td class='num' data-sort='237.3'>237.3</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='14'><span class='medal'></span>14</td><td class='method' data-sort='LaplacianScore'>LaplacianScore</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='1025.0'>1025<span class='sub'>+52 / βˆ’64</span></td><td class='num' data-sort='-22.8'>-22.8</td><td class='num shaded' data-sort='0.644' style='background:rgba(0,114,178,0.51)'>0.644</td><td class='num shaded' data-sort='0.85' style='background:rgba(213,94,0,0.65)'>0.850</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='15'><span class='medal'></span>15</td><td class='method' data-sort='Random'>Random</td><td class='' data-sort='Baseline'><span class='pill cat-baseline'>Baseline</span></td><td class='num' data-sort='1000.0'>1000<span class='sub'>+41 / βˆ’47</span></td><td class='num' data-sort='0.0'>0.0</td><td class='num shaded' data-sort='0.001' style='background:rgba(0,114,178,0.08)'>0.001</td><td class='num shaded' data-sort='0.499' style='background:rgba(213,94,0,0.41)'>0.499</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr></tbody></table></div><script type='text/plain' id='sa-csv'>Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Improvement over Random (%),Stability,Validity,Selection time (s),Fallback rate (%)
36
+ 1,RFImportance,Non-search,Tree,1366.0,1322.0,1411.0,29.3,0.653,0.741,0.2,0.0
37
+ 2,ElasticNet,Non-search,Regularization,1346.0,1303.0,1388.0,26.0,0.519,0.873,7.6,0.0
38
+ 3,CART,Non-search,Tree,1335.0,1296.0,1375.0,27.1,0.456,0.638,0.1,0.0
39
+ 4,Lasso,Non-search,Regularization,1323.0,1280.0,1367.0,25.4,0.422,0.825,2.3,0.0
40
+ 5,MI,Non-search,Information theory,1316.0,1286.0,1350.0,27.5,0.673,0.863,0.4,0.0
41
+ 6,MarkovBlanket,Search,Backward search,1307.0,1274.0,1343.0,24.6,0.396,0.467,0.2,0.0
42
+ 7,F-Test,Non-search,Correlation,1298.0,1258.0,1334.0,25.9,0.734,0.932,0.0,0.0
43
+ 8,GainRatio,Non-search,Information theory,1273.0,1237.0,1307.0,23.7,0.681,0.915,0.2,0.0
44
+ 9,mRMR,Non-search,Information theory,1268.0,1228.0,1307.0,24.6,0.578,0.712,0.4,0.0
45
+ 10,(R)ReliefF,Non-search,Distance,1257.0,1218.0,1297.0,21.3,0.647,0.808,14.3,0.0
46
+ 11,SFS,Search,Forward search,1256.0,1212.0,1299.0,21.6,0.278,0.664,1634.9,43.8
47
+ 12,SBE,Search,Backward search,1227.0,1177.0,1276.0,14.7,0.175,0.578,3166.2,48.9
48
+ 13,LOCO,Search,Leave-one-out,1219.0,1177.0,1262.0,15.9,0.22,0.613,237.3,0.0
49
+ 14,LaplacianScore,Non-search,Distance,1025.0,961.0,1077.0,-22.8,0.644,0.85,0.2,0.0
50
+ 15,Random,Baseline,Baseline,1000.0,953.0,1041.0,0.0,0.001,0.499,0.0,0.0
51
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data/subsets/tasks_all/models_all/budgets_1/website_leaderboard.csv CHANGED
@@ -1,16 +1,16 @@
1
- Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Avg. rank,Win rate (%),Improvability (%),Error vs. all features,Stability,Validity,Selection time (s),Fallback rate (%),#Datasets,#Comparisons
2
- 1,RFImportance,Non-search,Tree,1366.0,1322.0,1411.0,6.31,62.1,17.8,,0.653,0.741,0.2,0.0,71,1065
3
- 2,ElasticNet,Non-search,Regularization,1346.0,1303.0,1388.0,6.51,60.6,20.6,,0.519,0.873,7.6,0.0,71,1065
4
- 3,CART,Non-search,Tree,1335.0,1296.0,1375.0,6.63,59.8,20.9,,0.456,0.638,0.1,0.0,71,1065
5
- 4,Lasso,Non-search,Regularization,1323.0,1280.0,1367.0,6.78,58.7,20.2,,0.422,0.825,2.3,0.0,71,1065
6
- 5,MI,Non-search,Information theory,1316.0,1286.0,1350.0,7.01,57.1,21.2,,0.673,0.863,0.4,0.0,71,1065
7
- 6,MarkovBlanket,Search,Backward search,1307.0,1274.0,1343.0,7.15,56.0,22.8,,0.396,0.467,0.2,0.0,71,1065
8
- 7,F-Test,Non-search,Correlation,1298.0,1258.0,1334.0,7.39,54.3,23.2,,0.734,0.932,0.0,0.0,71,1065
9
- 8,GainRatio,Non-search,Information theory,1273.0,1237.0,1307.0,7.82,51.3,25.1,,0.681,0.915,0.2,0.0,71,1065
10
- 9,mRMR,Non-search,Information theory,1268.0,1228.0,1307.0,7.89,50.8,23.8,,0.578,0.712,0.4,0.0,71,1065
11
- 10,(R)ReliefF,Non-search,Distance,1257.0,1218.0,1297.0,8.18,48.7,24.4,,0.647,0.808,14.3,0.0,71,1065
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- 11,SFS,Search,Forward search,1256.0,1212.0,1299.0,7.91,50.6,25.0,,0.278,0.664,1634.9,43.8,71,1065
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- 12,SBE,Search,Backward search,1227.0,1177.0,1276.0,8.37,47.3,28.2,,0.175,0.578,3166.2,48.9,71,1065
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- 13,LOCO,Search,Leave-one-out,1219.0,1177.0,1262.0,8.54,46.1,27.9,,0.22,0.613,237.3,0.0,71,1065
15
- 14,LaplacianScore,Non-search,Distance,1025.0,961.0,1077.0,11.85,22.5,42.2,,0.644,0.85,0.2,0.0,71,1065
16
- 15,Random,Baseline,Baseline,1000.0,953.0,1041.0,11.64,24.0,39.7,,0.001,0.499,0.0,0.0,71,1065
 
1
+ Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Avg. rank,Win rate (%),Improvability (%),Improvement over Random (%),Error vs. all features,Stability,Validity,Selection time (s),Fallback rate (%),#Datasets,#Comparisons
2
+ 1,RFImportance,Non-search,Tree,1366.0,1322.0,1411.0,6.31,62.1,17.8,29.3,,0.653,0.741,0.2,0.0,71,1065
3
+ 2,ElasticNet,Non-search,Regularization,1346.0,1303.0,1388.0,6.51,60.6,20.6,26.0,,0.519,0.873,7.6,0.0,71,1065
4
+ 3,CART,Non-search,Tree,1335.0,1296.0,1375.0,6.63,59.8,20.9,27.1,,0.456,0.638,0.1,0.0,71,1065
5
+ 4,Lasso,Non-search,Regularization,1323.0,1280.0,1367.0,6.78,58.7,20.2,25.4,,0.422,0.825,2.3,0.0,71,1065
6
+ 5,MI,Non-search,Information theory,1316.0,1286.0,1350.0,7.01,57.1,21.2,27.5,,0.673,0.863,0.4,0.0,71,1065
7
+ 6,MarkovBlanket,Search,Backward search,1307.0,1274.0,1343.0,7.15,56.0,22.8,24.6,,0.396,0.467,0.2,0.0,71,1065
8
+ 7,F-Test,Non-search,Correlation,1298.0,1258.0,1334.0,7.39,54.3,23.2,25.9,,0.734,0.932,0.0,0.0,71,1065
9
+ 8,GainRatio,Non-search,Information theory,1273.0,1237.0,1307.0,7.82,51.3,25.1,23.7,,0.681,0.915,0.2,0.0,71,1065
10
+ 9,mRMR,Non-search,Information theory,1268.0,1228.0,1307.0,7.89,50.8,23.8,24.6,,0.578,0.712,0.4,0.0,71,1065
11
+ 10,(R)ReliefF,Non-search,Distance,1257.0,1218.0,1297.0,8.18,48.7,24.4,21.3,,0.647,0.808,14.3,0.0,71,1065
12
+ 11,SFS,Search,Forward search,1256.0,1212.0,1299.0,7.91,50.6,25.0,21.6,,0.278,0.664,1634.9,43.8,71,1065
13
+ 12,SBE,Search,Backward search,1227.0,1177.0,1276.0,8.37,47.3,28.2,14.7,,0.175,0.578,3166.2,48.9,71,1065
14
+ 13,LOCO,Search,Leave-one-out,1219.0,1177.0,1262.0,8.54,46.1,27.9,15.9,,0.22,0.613,237.3,0.0,71,1065
15
+ 14,LaplacianScore,Non-search,Distance,1025.0,961.0,1077.0,11.85,22.5,42.2,-22.8,,0.644,0.85,0.2,0.0,71,1065
16
+ 15,Random,Baseline,Baseline,1000.0,953.0,1041.0,11.64,24.0,39.7,0.0,,0.001,0.499,0.0,0.0,71,1065
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@@ -32,22 +32,22 @@ td.na { color:var(--muted); }
32
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33
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34
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35
- </style></head><body><div class='toolbar'><span class='hint'>Click a column to sort. Hover a header for its definition. Stability and validity are shaded as in the Elo figure: darker is better.</span><button onclick="saCsv('selectarena_leaderboard.csv')">CSV</button></div><div class='wrap'><table id='sa-table'><thead><tr><th class='num' title='Rank by Elo.'>#</th><th class=''>Method</th><th class='' title='Taxonomy of the paper (Appendix A). Search methods evaluate many feature subsets with the model (forward, backward, leave-one-out); non-search methods use a proxy instead (correlation, distance, information theory, tree, regularization).'>Type</th><th class='num' title='Bradley-Terry Elo from pairwise matches within each dataset, budget and downstream model. Random = 1000. +/βˆ’ give the 95% bootstrap interval.'>Elo ↑</th><th class='num' title='Mean rank of the downstream error.'>Avg. rank ↓</th><th class='num' title='Mean relative gap (error βˆ’ best error) / error to the best method, in %.'>Improvability ↓</th><th class='num' title='Agreement of the selected features across bootstrap resamples (Nogueira et al., 2018).'>Stability ↑</th><th class='num' title='Share of the budget filled with original features when as many noise features are added.'>Validity ↑</th><th class='num' title='Median wall-clock time of the selection.'>Time (s) ↓</th><th class='num' title='Share of runs where the method ran out of time and random features filled the budget.'>Fallback (%)</th></tr></thead><tbody><tr><td class='num' data-sort='1'><span class='medal' role='img' aria-label='gold medal'>πŸ₯‡</span>1</td><td class='method' data-sort='RFImportance'>RFImportance</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1325.0'>1325<span class='sub'>+45 / βˆ’39</span></td><td class='num' data-sort='6.04'>6.04</td><td class='num' data-sort='14.6'>14.6</td><td class='num shaded' data-sort='0.676' style='background:rgba(0,114,178,0.53)'>0.676</td><td class='num shaded' data-sort='0.691' style='background:rgba(213,94,0,0.54)'>0.691</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='2'><span class='medal' role='img' aria-label='silver medal'>πŸ₯ˆ</span>2</td><td class='method' data-sort='CART'>CART</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1278.0'>1278<span class='sub'>+42 / βˆ’37</span></td><td class='num' data-sort='6.67'>6.67</td><td class='num' data-sort='18.5'>18.5</td><td class='num shaded' data-sort='0.444' style='background:rgba(0,114,178,0.38)'>0.444</td><td class='num shaded' data-sort='0.572' style='background:rgba(213,94,0,0.46)'>0.572</td><td class='num' data-sort='0.1'>0.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='3'><span class='medal' role='img' aria-label='bronze medal'>πŸ₯‰</span>3</td><td class='method' data-sort='ElasticNet'>ElasticNet</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1273.0'>1273<span class='sub'>+42 / βˆ’43</span></td><td class='num' data-sort='6.64'>6.64</td><td class='num' data-sort='18.1'>18.1</td><td class='num shaded' data-sort='0.481' style='background:rgba(0,114,178,0.40)'>0.481</td><td class='num shaded' data-sort='0.777' style='background:rgba(213,94,0,0.60)'>0.777</td><td class='num' data-sort='7.6'>7.6</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='4'><span class='medal'></span>4</td><td class='method' data-sort='MI'>MI</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1272.0'>1272<span class='sub'>+40 / βˆ’37</span></td><td class='num' data-sort='6.82'>6.82</td><td class='num' data-sort='18.3'>18.3</td><td class='num shaded' data-sort='0.683' style='background:rgba(0,114,178,0.54)'>0.683</td><td class='num shaded' data-sort='0.815' style='background:rgba(213,94,0,0.63)'>0.815</td><td class='num' data-sort='0.4'>0.4</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='5'><span class='medal'></span>5</td><td class='method' data-sort='Lasso'>Lasso</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1249.0'>1249<span class='sub'>+40 / βˆ’45</span></td><td class='num' data-sort='6.97'>6.97</td><td class='num' data-sort='18.3'>18.3</td><td class='num shaded' data-sort='0.389' style='background:rgba(0,114,178,0.34)'>0.389</td><td class='num shaded' data-sort='0.73' style='background:rgba(213,94,0,0.57)'>0.730</td><td class='num' data-sort='2.0'>2.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='6'><span class='medal'></span>6</td><td class='method' data-sort='MarkovBlanket'>MarkovBlanket</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1237.0'>1237<span class='sub'>+32 / βˆ’34</span></td><td class='num' data-sort='7.5'>7.50</td><td class='num' data-sort='21.0'>21.0</td><td class='num shaded' data-sort='0.413' style='background:rgba(0,114,178,0.36)'>0.413</td><td class='num shaded' data-sort='0.447' style='background:rgba(213,94,0,0.38)'>0.447</td><td class='num' data-sort='0.1'>0.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='7'><span class='medal'></span>7</td><td class='method' data-sort='F-Test'>F-Test</td><td class='' data-sort='Correlation'><span class='pill cat-non-search'>Correlation</span><span class='sub'>non-search</span></td><td class='num' data-sort='1223.0'>1223<span class='sub'>+36 / βˆ’35</span></td><td class='num' data-sort='7.49'>7.49</td><td class='num' data-sort='20.5'>20.5</td><td class='num shaded' data-sort='0.706' style='background:rgba(0,114,178,0.55)'>0.706</td><td class='num shaded' data-sort='0.879' style='background:rgba(213,94,0,0.67)'>0.879</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='8'><span class='medal'></span>8</td><td class='method' data-sort='(R)ReliefF'>(R)ReliefF</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='1210.0'>1210<span class='sub'>+39 / βˆ’38</span></td><td class='num' data-sort='7.86'>7.86</td><td class='num' data-sort='20.2'>20.2</td><td class='num shaded' data-sort='0.673' style='background:rgba(0,114,178,0.53)'>0.673</td><td class='num shaded' data-sort='0.757' style='background:rgba(213,94,0,0.59)'>0.757</td><td class='num' data-sort='14.4'>14.4</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='9'><span class='medal'></span>9</td><td class='method' data-sort='GainRatio'>GainRatio</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1194.0'>1194<span class='sub'>+38 / βˆ’37</span></td><td class='num' data-sort='8.22'>8.22</td><td class='num' data-sort='22.8'>22.8</td><td class='num shaded' data-sort='0.67' style='background:rgba(0,114,178,0.53)'>0.670</td><td class='num shaded' data-sort='0.856' style='background:rgba(213,94,0,0.65)'>0.856</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='10'><span class='medal'></span>10</td><td class='method' data-sort='SBE'>SBE</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1186.0'>1186<span class='sub'>+45 / βˆ’46</span></td><td class='num' data-sort='8.15'>8.15</td><td class='num' data-sort='24.7'>24.7</td><td class='num shaded' data-sort='0.144' style='background:rgba(0,114,178,0.18)'>0.144</td><td class='num shaded' data-sort='0.556' style='background:rgba(213,94,0,0.45)'>0.556</td><td class='num' data-sort='2621.7'>2,621.7</td><td class='num' data-sort='47.8'>47.8</td></tr><tr><td class='num' data-sort='11'><span class='medal'></span>11</td><td class='method' data-sort='mRMR'>mRMR</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1181.0'>1181<span class='sub'>+35 / βˆ’37</span></td><td class='num' data-sort='8.22'>8.22</td><td class='num' data-sort='21.5'>21.5</td><td class='num shaded' data-sort='0.614' style='background:rgba(0,114,178,0.49)'>0.614</td><td class='num shaded' data-sort='0.66' style='background:rgba(213,94,0,0.52)'>0.660</td><td class='num' data-sort='0.5'>0.5</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='12'><span class='medal'></span>12</td><td class='method' data-sort='SFS'>SFS</td><td class='' data-sort='Forward search'><span class='pill cat-search'>Forward search</span><span class='sub'>search</span></td><td class='num' data-sort='1175.0'>1175<span class='sub'>+37 / βˆ’42</span></td><td class='num' data-sort='8.11'>8.11</td><td class='num' data-sort='23.1'>23.1</td><td class='num shaded' data-sort='0.239' style='background:rgba(0,114,178,0.24)'>0.239</td><td class='num shaded' data-sort='0.627' style='background:rgba(213,94,0,0.50)'>0.627</td><td class='num' data-sort='2398.9'>2,398.9</td><td class='num' data-sort='47.2'>47.2</td></tr><tr><td class='num' data-sort='13'><span class='medal'></span>13</td><td class='method' data-sort='LOCO'>LOCO</td><td class='' data-sort='Leave-one-out'><span class='pill cat-search'>Leave-one-out</span><span class='sub'>search</span></td><td class='num' data-sort='1157.0'>1157<span class='sub'>+40 / βˆ’41</span></td><td class='num' data-sort='8.42'>8.42</td><td class='num' data-sort='25.1'>25.1</td><td class='num shaded' data-sort='0.151' style='background:rgba(0,114,178,0.18)'>0.151</td><td class='num shaded' data-sort='0.575' style='background:rgba(213,94,0,0.47)'>0.575</td><td class='num' data-sort='241.3'>241.3</td><td class='num' data-sort='6.8'>6.8</td></tr><tr><td class='num' data-sort='14'><span class='medal'></span>14</td><td class='method' data-sort='Random'>Random</td><td class='' data-sort='Baseline'><span class='pill cat-baseline'>Baseline</span></td><td class='num' data-sort='1000.0'>1000<span class='sub'>+42 / βˆ’49</span></td><td class='num' data-sort='10.82'>10.82</td><td class='num' data-sort='33.5'>33.5</td><td class='num shaded' data-sort='-0.001' style='background:rgba(0,114,178,0.08)'>-0.001</td><td class='num shaded' data-sort='0.513' style='background:rgba(213,94,0,0.42)'>0.513</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='15'><span class='medal'></span>15</td><td class='method' data-sort='LaplacianScore'>LaplacianScore</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='930.0'>930<span class='sub'>+54 / βˆ’71</span></td><td class='num' data-sort='12.08'>12.08</td><td class='num' data-sort='39.5'>39.5</td><td class='num shaded' data-sort='0.66' style='background:rgba(0,114,178,0.52)'>0.660</td><td class='num shaded' data-sort='0.827' style='background:rgba(213,94,0,0.63)'>0.827</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr></tbody></table></div><script type='text/plain' id='sa-csv'>Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Avg. rank,Win rate (%),Improvability (%),Error vs. all features,Stability,Validity,Selection time (s),Fallback rate (%),#Datasets,#Comparisons
36
- 1,RFImportance,Non-search,Tree,1325.0,1286.0,1370.0,6.04,64.0,14.6,,0.676,0.691,0.2,0.0,71,1065
37
- 2,CART,Non-search,Tree,1278.0,1241.0,1320.0,6.67,59.5,18.5,,0.444,0.572,0.1,0.0,71,1065
38
- 3,ElasticNet,Non-search,Regularization,1273.0,1230.0,1315.0,6.64,59.7,18.1,,0.481,0.777,7.6,0.0,71,1065
39
- 4,MI,Non-search,Information theory,1272.0,1235.0,1312.0,6.82,58.4,18.3,,0.683,0.815,0.4,0.0,71,1065
40
- 5,Lasso,Non-search,Regularization,1249.0,1204.0,1289.0,6.97,57.4,18.3,,0.389,0.73,2.0,0.0,71,1065
41
- 6,MarkovBlanket,Search,Backward search,1237.0,1203.0,1269.0,7.5,53.6,21.0,,0.413,0.447,0.1,0.0,71,1065
42
- 7,F-Test,Non-search,Correlation,1223.0,1188.0,1259.0,7.49,53.6,20.5,,0.706,0.879,0.0,0.0,71,1065
43
- 8,(R)ReliefF,Non-search,Distance,1210.0,1172.0,1249.0,7.86,51.0,20.2,,0.673,0.757,14.4,0.0,71,1065
44
- 9,GainRatio,Non-search,Information theory,1194.0,1157.0,1232.0,8.22,48.4,22.8,,0.67,0.856,0.2,0.0,71,1065
45
- 10,SBE,Search,Backward search,1186.0,1140.0,1231.0,8.15,48.9,24.7,,0.144,0.556,2621.7,47.8,71,1065
46
- 11,mRMR,Non-search,Information theory,1181.0,1144.0,1216.0,8.22,48.4,21.5,,0.614,0.66,0.5,0.0,71,1065
47
- 12,SFS,Search,Forward search,1175.0,1133.0,1212.0,8.11,49.2,23.1,,0.239,0.627,2398.9,47.2,71,1065
48
- 13,LOCO,Search,Leave-one-out,1157.0,1116.0,1197.0,8.42,47.0,25.1,,0.151,0.575,241.3,6.8,71,1065
49
- 14,Random,Baseline,Baseline,1000.0,951.0,1042.0,10.82,29.9,33.5,,-0.001,0.513,0.0,0.0,71,1065
50
- 15,LaplacianScore,Non-search,Distance,930.0,859.0,984.0,12.08,20.9,39.5,,0.66,0.827,0.2,0.0,71,1065
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+ </style></head><body><div class='toolbar'><span class='hint'>Click a column to sort. Hover a header for its definition. Stability and validity are shaded as in the Elo figure: darker is better.</span><button onclick="saCsv('selectarena_leaderboard.csv')">CSV</button></div><div class='wrap'><table id='sa-table'><thead><tr><th class='num' title='Rank by Elo.'>#</th><th class=''>Method</th><th class='' title='Taxonomy of the paper (Appendix A). Search methods evaluate many feature subsets with the model (forward, backward, leave-one-out); non-search methods use a proxy instead (correlation, distance, information theory, tree, regularization).'>Type</th><th class='num' title='Bradley-Terry Elo from pairwise matches within each dataset, budget and downstream model. Random = 1000. +/βˆ’ give the 95% bootstrap interval.'>Elo ↑</th><th class='num' title='Mean reduction of the downstream error compared with random selection on the same dataset, in % (as in the Pareto figure; Random is 0).'>Improvement over Random ↑</th><th class='num' title='Agreement of the selected features across bootstrap resamples (Nogueira et al., 2018).'>Stability ↑</th><th class='num' title='Share of the budget filled with original features when as many noise features are added.'>Validity ↑</th><th class='num' title='Median wall-clock time of the selection.'>Time (s) ↓</th><th class='num' title='Share of runs where the method ran out of time and random features filled the budget.'>Fallback (%)</th></tr></thead><tbody><tr><td class='num' data-sort='1'><span class='medal' role='img' aria-label='gold medal'>πŸ₯‡</span>1</td><td class='method' data-sort='RFImportance'>RFImportance</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1325.0'>1325<span class='sub'>+45 / βˆ’39</span></td><td class='num' data-sort='24.3'>24.3</td><td class='num shaded' data-sort='0.676' style='background:rgba(0,114,178,0.53)'>0.676</td><td class='num shaded' data-sort='0.691' style='background:rgba(213,94,0,0.54)'>0.691</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='2'><span class='medal' role='img' aria-label='silver medal'>πŸ₯ˆ</span>2</td><td class='method' data-sort='CART'>CART</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1278.0'>1278<span class='sub'>+42 / βˆ’37</span></td><td class='num' data-sort='20.5'>20.5</td><td class='num shaded' data-sort='0.444' style='background:rgba(0,114,178,0.38)'>0.444</td><td class='num shaded' data-sort='0.572' style='background:rgba(213,94,0,0.46)'>0.572</td><td class='num' data-sort='0.1'>0.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='3'><span class='medal' role='img' aria-label='bronze medal'>πŸ₯‰</span>3</td><td class='method' data-sort='ElasticNet'>ElasticNet</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1273.0'>1273<span class='sub'>+42 / βˆ’43</span></td><td class='num' data-sort='19.8'>19.8</td><td class='num shaded' data-sort='0.481' style='background:rgba(0,114,178,0.40)'>0.481</td><td class='num shaded' data-sort='0.777' style='background:rgba(213,94,0,0.60)'>0.777</td><td class='num' data-sort='7.6'>7.6</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='4'><span class='medal'></span>4</td><td class='method' data-sort='MI'>MI</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1272.0'>1272<span class='sub'>+40 / βˆ’37</span></td><td class='num' data-sort='20.9'>20.9</td><td class='num shaded' data-sort='0.683' style='background:rgba(0,114,178,0.54)'>0.683</td><td class='num shaded' data-sort='0.815' style='background:rgba(213,94,0,0.63)'>0.815</td><td class='num' data-sort='0.4'>0.4</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='5'><span class='medal'></span>5</td><td class='method' data-sort='Lasso'>Lasso</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1249.0'>1249<span class='sub'>+40 / βˆ’45</span></td><td class='num' data-sort='18.3'>18.3</td><td class='num shaded' data-sort='0.389' style='background:rgba(0,114,178,0.34)'>0.389</td><td class='num shaded' data-sort='0.73' style='background:rgba(213,94,0,0.57)'>0.730</td><td class='num' data-sort='2.0'>2.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='6'><span class='medal'></span>6</td><td class='method' data-sort='MarkovBlanket'>MarkovBlanket</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1237.0'>1237<span class='sub'>+32 / βˆ’34</span></td><td class='num' data-sort='18.0'>18.0</td><td class='num shaded' data-sort='0.413' style='background:rgba(0,114,178,0.36)'>0.413</td><td class='num shaded' data-sort='0.447' style='background:rgba(213,94,0,0.38)'>0.447</td><td class='num' data-sort='0.1'>0.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='7'><span class='medal'></span>7</td><td class='method' data-sort='F-Test'>F-Test</td><td class='' data-sort='Correlation'><span class='pill cat-non-search'>Correlation</span><span class='sub'>non-search</span></td><td class='num' data-sort='1223.0'>1223<span class='sub'>+36 / βˆ’35</span></td><td class='num' data-sort='18.3'>18.3</td><td class='num shaded' data-sort='0.706' style='background:rgba(0,114,178,0.55)'>0.706</td><td class='num shaded' data-sort='0.879' style='background:rgba(213,94,0,0.67)'>0.879</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='8'><span class='medal'></span>8</td><td class='method' data-sort='(R)ReliefF'>(R)ReliefF</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='1210.0'>1210<span class='sub'>+39 / βˆ’38</span></td><td class='num' data-sort='18.5'>18.5</td><td class='num shaded' data-sort='0.673' style='background:rgba(0,114,178,0.53)'>0.673</td><td class='num shaded' data-sort='0.757' style='background:rgba(213,94,0,0.59)'>0.757</td><td class='num' data-sort='14.4'>14.4</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='9'><span class='medal'></span>9</td><td class='method' data-sort='GainRatio'>GainRatio</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1194.0'>1194<span class='sub'>+38 / βˆ’37</span></td><td class='num' data-sort='16.2'>16.2</td><td class='num shaded' data-sort='0.67' style='background:rgba(0,114,178,0.53)'>0.670</td><td class='num shaded' data-sort='0.856' style='background:rgba(213,94,0,0.65)'>0.856</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='10'><span class='medal'></span>10</td><td class='method' data-sort='SBE'>SBE</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1186.0'>1186<span class='sub'>+45 / βˆ’46</span></td><td class='num' data-sort='10.4'>10.4</td><td class='num shaded' data-sort='0.144' style='background:rgba(0,114,178,0.18)'>0.144</td><td class='num shaded' data-sort='0.556' style='background:rgba(213,94,0,0.45)'>0.556</td><td class='num' data-sort='2621.7'>2,621.7</td><td class='num' data-sort='47.8'>47.8</td></tr><tr><td class='num' data-sort='11'><span class='medal'></span>11</td><td class='method' data-sort='mRMR'>mRMR</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1181.0'>1181<span class='sub'>+35 / βˆ’37</span></td><td class='num' data-sort='17.7'>17.7</td><td class='num shaded' data-sort='0.614' style='background:rgba(0,114,178,0.49)'>0.614</td><td class='num shaded' data-sort='0.66' style='background:rgba(213,94,0,0.52)'>0.660</td><td class='num' data-sort='0.5'>0.5</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='12'><span class='medal'></span>12</td><td class='method' data-sort='SFS'>SFS</td><td class='' data-sort='Forward search'><span class='pill cat-search'>Forward search</span><span class='sub'>search</span></td><td class='num' data-sort='1175.0'>1175<span class='sub'>+37 / βˆ’42</span></td><td class='num' data-sort='13.6'>13.6</td><td class='num shaded' data-sort='0.239' style='background:rgba(0,114,178,0.24)'>0.239</td><td class='num shaded' data-sort='0.627' style='background:rgba(213,94,0,0.50)'>0.627</td><td class='num' data-sort='2398.9'>2,398.9</td><td class='num' data-sort='47.2'>47.2</td></tr><tr><td class='num' data-sort='13'><span class='medal'></span>13</td><td class='method' data-sort='LOCO'>LOCO</td><td class='' data-sort='Leave-one-out'><span class='pill cat-search'>Leave-one-out</span><span class='sub'>search</span></td><td class='num' data-sort='1157.0'>1157<span class='sub'>+40 / βˆ’41</span></td><td class='num' data-sort='9.3'>9.3</td><td class='num shaded' data-sort='0.151' style='background:rgba(0,114,178,0.18)'>0.151</td><td class='num shaded' data-sort='0.575' style='background:rgba(213,94,0,0.47)'>0.575</td><td class='num' data-sort='241.3'>241.3</td><td class='num' data-sort='6.8'>6.8</td></tr><tr><td class='num' data-sort='14'><span class='medal'></span>14</td><td class='method' data-sort='Random'>Random</td><td class='' data-sort='Baseline'><span class='pill cat-baseline'>Baseline</span></td><td class='num' data-sort='1000.0'>1000<span class='sub'>+42 / βˆ’49</span></td><td class='num' data-sort='0.0'>0.0</td><td class='num shaded' data-sort='-0.001' style='background:rgba(0,114,178,0.08)'>-0.001</td><td class='num shaded' data-sort='0.513' style='background:rgba(213,94,0,0.42)'>0.513</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='15'><span class='medal'></span>15</td><td class='method' data-sort='LaplacianScore'>LaplacianScore</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='930.0'>930<span class='sub'>+54 / βˆ’71</span></td><td class='num' data-sort='-58.2'>-58.2</td><td class='num shaded' data-sort='0.66' style='background:rgba(0,114,178,0.52)'>0.660</td><td class='num shaded' data-sort='0.827' style='background:rgba(213,94,0,0.63)'>0.827</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr></tbody></table></div><script type='text/plain' id='sa-csv'>Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Improvement over Random (%),Stability,Validity,Selection time (s),Fallback rate (%)
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37
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45
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49
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dominant-baseline='central' font-size='18' font-weight='700'>F-Test</text><line class='sa-ink' x1='483.8' y1='114.6' x2='374.9' y2='94.6' stroke-width='1' opacity='0.6'/><text class='sa-dim sa-halo' x='374.9' y='94.6' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='400'>MarkovBlanket</text><line class='sa-ink' x1='510.3' y1='118.8' x2='549.9' y2='104.6' stroke-width='1' opacity='0.6'/><text class='sa-dim sa-halo' x='549.9' y='104.6' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='400'>mRMR</text><line class='sa-ink' x1='465.2' y1='138.7' x2='536.3' y2='152.9' stroke-width='1' opacity='0.6'/><text class='sa-dim sa-halo' x='536.3' y='152.9' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='400'>GainRatio</text><line class='sa-ink' x1='812.3' y1='173.5' x2='828.6' y2='159.3' stroke-width='1' opacity='0.6'/><text class='sa-dim sa-halo' x='828.6' y='159.3' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='400'>SFS</text><line class='sa-ink' x1='810.9' y1='215.6' x2='827.3' y2='229.9' stroke-width='1' opacity='0.6'/><text class='sa-dim sa-halo' x='827.3' y='229.9' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='400'>SBE</text><line class='sa-ink' x1='741.9' y1='229.4' x2='709.1' y2='243.1' stroke-width='1' opacity='0.6'/><text class='sa-dim sa-halo' x='709.1' y='243.1' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='400'>LOCO</text><line class='sa-ink' x1='102.4' y1='352.0' x2='156.2' y2='337.8' stroke-width='1' opacity='0.6'/><text class='sa-text sa-halo' x='156.2' y='337.8' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='700'>Random</text><rect class='sa-legend' x='610.8' y='296.0' width='225.0' height='60.0' rx='4'/><circle stroke='#808080' cx='631.8' cy='314.0' r='6.0' fill='#d3d3d3'/><text class='sa-text' x='649.8' y='320.0' font-size='15'>Dominated Methods</text><circle class='sa-point' cx='631.8' cy='338.0' r='6.0' fill='#D55E00'/><text class='sa-text' x='649.8' y='344.0' font-size='15'>Pareto Front</text><circle class='sa-hit' cx='517.4' cy='32.2' r='10.5' data-tip='RFImportance (on the Pareto front)&#10;Improvement over Random: 24.3%&#10;Selection time per 1k features: 45.1 s&#10;Datasets: 71' aria-label='RFImportance (on the Pareto front)&#10;Improvement over Random: 24.3%&#10;Selection time per 1k features: 45.1 s&#10;Datasets: 71'/><circle class='sa-hit' cx='523.2' cy='77.1' r='10.5' data-tip='MI&#10;Improvement over Random: 20.9%&#10;Selection time per 1k features: 51.2 s&#10;Datasets: 71' aria-label='MI&#10;Improvement over Random: 20.9%&#10;Selection time per 1k features: 51.2 s&#10;Datasets: 71'/><circle class='sa-hit' cx='469.8' cy='82.6' r='10.5' data-tip='CART (on the Pareto front)&#10;Improvement over Random: 20.5%&#10;Selection time per 1k features: 15.8 s&#10;Datasets: 71' aria-label='CART (on the Pareto 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aria-label='Lasso&#10;Improvement over Random: 18.3%&#10;Selection time per 1k features: 2.4e+03 s&#10;Datasets: 71&#10;Next to ElasticNet: 19.8%, 2.4e+03 s'/><circle class='sa-hit' cx='333.9' cy='111.7' r='10.5' data-tip='F-Test (on the Pareto front)&#10;Improvement over Random: 18.3%&#10;Selection time per 1k features: 0.789 s&#10;Datasets: 71' aria-label='F-Test (on the Pareto front)&#10;Improvement over Random: 18.3%&#10;Selection time per 1k features: 0.789 s&#10;Datasets: 71'/><circle class='sa-hit' cx='483.8' cy='114.6' r='10.5' data-tip='MarkovBlanket&#10;Improvement over Random: 18.0%&#10;Selection time per 1k features: 21.5 s&#10;Datasets: 71' aria-label='MarkovBlanket&#10;Improvement over Random: 18.0%&#10;Selection time per 1k features: 21.5 s&#10;Datasets: 71'/><circle class='sa-hit' cx='510.3' cy='118.8' r='10.5' data-tip='mRMR&#10;Improvement over Random: 17.7%&#10;Selection time per 1k features: 38.5 s&#10;Datasets: 71' aria-label='mRMR&#10;Improvement over Random: 17.7%&#10;Selection time per 1k features: 38.5 s&#10;Datasets: 71'/><circle class='sa-hit' cx='465.2' cy='138.7' r='10.5' data-tip='GainRatio&#10;Improvement over Random: 16.2%&#10;Selection time per 1k features: 14.3 s&#10;Datasets: 71' aria-label='GainRatio&#10;Improvement over Random: 16.2%&#10;Selection time per 1k features: 14.3 s&#10;Datasets: 71'/><circle class='sa-hit' cx='812.3' cy='173.5' r='10.5' data-tip='SFS&#10;Improvement over Random: 13.6%&#10;Selection time per 1k features: 3e+04 s&#10;Datasets: 71' aria-label='SFS&#10;Improvement over Random: 13.6%&#10;Selection time per 1k features: 3e+04 s&#10;Datasets: 71'/><circle class='sa-hit' cx='810.9' cy='215.6' r='10.5' data-tip='SBE&#10;Improvement over Random: 10.4%&#10;Selection time per 1k features: 2.91e+04 s&#10;Datasets: 71' aria-label='SBE&#10;Improvement over Random: 10.4%&#10;Selection time per 1k features: 2.91e+04 s&#10;Datasets: 71'/><circle class='sa-hit' cx='741.9' cy='229.4' r='10.5' data-tip='LOCO&#10;Improvement over Random: 9.3%&#10;Selection time per 1k features: 6.35e+03 s&#10;Datasets: 71' aria-label='LOCO&#10;Improvement over Random: 9.3%&#10;Selection time per 1k features: 6.35e+03 s&#10;Datasets: 71'/><circle class='sa-hit' cx='102.4' cy='352.0' r='10.5' data-tip='Random (on the Pareto front)&#10;Improvement over Random: 0.0%&#10;Selection time per 1k features: 0.0048 s&#10;Datasets: 71' aria-label='Random (on the Pareto front)&#10;Improvement over Random: 0.0%&#10;Selection time per 1k features: 0.0048 s&#10;Datasets: 71'/></svg><script type='text/plain' id='sa-csv'>method,improvement,time_per_1k,n_datasets,pareto_optimal
36
  RFImportance,24.3008,45.0766,71,True
37
  MI,20.8893,51.2055,71,False
38
  CART,20.4694,15.7754,71,True
data/subsets/tasks_all/models_all/budgets_2/website_leaderboard.csv CHANGED
@@ -1,16 +1,16 @@
1
- Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Avg. rank,Win rate (%),Improvability (%),Error vs. all features,Stability,Validity,Selection time (s),Fallback rate (%),#Datasets,#Comparisons
2
- 1,RFImportance,Non-search,Tree,1325.0,1286.0,1370.0,6.04,64.0,14.6,,0.676,0.691,0.2,0.0,71,1065
3
- 2,CART,Non-search,Tree,1278.0,1241.0,1320.0,6.67,59.5,18.5,,0.444,0.572,0.1,0.0,71,1065
4
- 3,ElasticNet,Non-search,Regularization,1273.0,1230.0,1315.0,6.64,59.7,18.1,,0.481,0.777,7.6,0.0,71,1065
5
- 4,MI,Non-search,Information theory,1272.0,1235.0,1312.0,6.82,58.4,18.3,,0.683,0.815,0.4,0.0,71,1065
6
- 5,Lasso,Non-search,Regularization,1249.0,1204.0,1289.0,6.97,57.4,18.3,,0.389,0.73,2.0,0.0,71,1065
7
- 6,MarkovBlanket,Search,Backward search,1237.0,1203.0,1269.0,7.5,53.6,21.0,,0.413,0.447,0.1,0.0,71,1065
8
- 7,F-Test,Non-search,Correlation,1223.0,1188.0,1259.0,7.49,53.6,20.5,,0.706,0.879,0.0,0.0,71,1065
9
- 8,(R)ReliefF,Non-search,Distance,1210.0,1172.0,1249.0,7.86,51.0,20.2,,0.673,0.757,14.4,0.0,71,1065
10
- 9,GainRatio,Non-search,Information theory,1194.0,1157.0,1232.0,8.22,48.4,22.8,,0.67,0.856,0.2,0.0,71,1065
11
- 10,SBE,Search,Backward search,1186.0,1140.0,1231.0,8.15,48.9,24.7,,0.144,0.556,2621.7,47.8,71,1065
12
- 11,mRMR,Non-search,Information theory,1181.0,1144.0,1216.0,8.22,48.4,21.5,,0.614,0.66,0.5,0.0,71,1065
13
- 12,SFS,Search,Forward search,1175.0,1133.0,1212.0,8.11,49.2,23.1,,0.239,0.627,2398.9,47.2,71,1065
14
- 13,LOCO,Search,Leave-one-out,1157.0,1116.0,1197.0,8.42,47.0,25.1,,0.151,0.575,241.3,6.8,71,1065
15
- 14,Random,Baseline,Baseline,1000.0,951.0,1042.0,10.82,29.9,33.5,,-0.001,0.513,0.0,0.0,71,1065
16
- 15,LaplacianScore,Non-search,Distance,930.0,859.0,984.0,12.08,20.9,39.5,,0.66,0.827,0.2,0.0,71,1065
 
1
+ Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Avg. rank,Win rate (%),Improvability (%),Improvement over Random (%),Error vs. all features,Stability,Validity,Selection time (s),Fallback rate (%),#Datasets,#Comparisons
2
+ 1,RFImportance,Non-search,Tree,1325.0,1286.0,1370.0,6.04,64.0,14.6,24.3,,0.676,0.691,0.2,0.0,71,1065
3
+ 2,CART,Non-search,Tree,1278.0,1241.0,1320.0,6.67,59.5,18.5,20.5,,0.444,0.572,0.1,0.0,71,1065
4
+ 3,ElasticNet,Non-search,Regularization,1273.0,1230.0,1315.0,6.64,59.7,18.1,19.8,,0.481,0.777,7.6,0.0,71,1065
5
+ 4,MI,Non-search,Information theory,1272.0,1235.0,1312.0,6.82,58.4,18.3,20.9,,0.683,0.815,0.4,0.0,71,1065
6
+ 5,Lasso,Non-search,Regularization,1249.0,1204.0,1289.0,6.97,57.4,18.3,18.3,,0.389,0.73,2.0,0.0,71,1065
7
+ 6,MarkovBlanket,Search,Backward search,1237.0,1203.0,1269.0,7.5,53.6,21.0,18.0,,0.413,0.447,0.1,0.0,71,1065
8
+ 7,F-Test,Non-search,Correlation,1223.0,1188.0,1259.0,7.49,53.6,20.5,18.3,,0.706,0.879,0.0,0.0,71,1065
9
+ 8,(R)ReliefF,Non-search,Distance,1210.0,1172.0,1249.0,7.86,51.0,20.2,18.5,,0.673,0.757,14.4,0.0,71,1065
10
+ 9,GainRatio,Non-search,Information theory,1194.0,1157.0,1232.0,8.22,48.4,22.8,16.2,,0.67,0.856,0.2,0.0,71,1065
11
+ 10,SBE,Search,Backward search,1186.0,1140.0,1231.0,8.15,48.9,24.7,10.4,,0.144,0.556,2621.7,47.8,71,1065
12
+ 11,mRMR,Non-search,Information theory,1181.0,1144.0,1216.0,8.22,48.4,21.5,17.7,,0.614,0.66,0.5,0.0,71,1065
13
+ 12,SFS,Search,Forward search,1175.0,1133.0,1212.0,8.11,49.2,23.1,13.6,,0.239,0.627,2398.9,47.2,71,1065
14
+ 13,LOCO,Search,Leave-one-out,1157.0,1116.0,1197.0,8.42,47.0,25.1,9.3,,0.151,0.575,241.3,6.8,71,1065
15
+ 14,Random,Baseline,Baseline,1000.0,951.0,1042.0,10.82,29.9,33.5,0.0,,-0.001,0.513,0.0,0.0,71,1065
16
+ 15,LaplacianScore,Non-search,Distance,930.0,859.0,984.0,12.08,20.9,39.5,-58.2,,0.66,0.827,0.2,0.0,71,1065
data/subsets/tasks_all/models_all/budgets_3/leaderboard_table.html CHANGED
@@ -32,22 +32,22 @@ td.na { color:var(--muted); }
32
  .pill.cat-baseline { color:var(--muted); }
33
  .medal { display:inline-block; width:1.4em; text-align:center; font-size:15px; line-height:1; }
34
  td.shaded { font-weight:600; }
35
- </style></head><body><div class='toolbar'><span class='hint'>Click a column to sort. Hover a header for its definition. Stability and validity are shaded as in the Elo figure: darker is better.</span><button onclick="saCsv('selectarena_leaderboard.csv')">CSV</button></div><div class='wrap'><table id='sa-table'><thead><tr><th class='num' title='Rank by Elo.'>#</th><th class=''>Method</th><th class='' title='Taxonomy of the paper (Appendix A). Search methods evaluate many feature subsets with the model (forward, backward, leave-one-out); non-search methods use a proxy instead (correlation, distance, information theory, tree, regularization).'>Type</th><th class='num' title='Bradley-Terry Elo from pairwise matches within each dataset, budget and downstream model. Random = 1000. +/βˆ’ give the 95% bootstrap interval.'>Elo ↑</th><th class='num' title='Mean rank of the downstream error.'>Avg. rank ↓</th><th class='num' title='Mean relative gap (error βˆ’ best error) / error to the best method, in %.'>Improvability ↓</th><th class='num' title='Agreement of the selected features across bootstrap resamples (Nogueira et al., 2018).'>Stability ↑</th><th class='num' title='Share of the budget filled with original features when as many noise features are added.'>Validity ↑</th><th class='num' title='Median wall-clock time of the selection.'>Time (s) ↓</th><th class='num' title='Share of runs where the method ran out of time and random features filled the budget.'>Fallback (%)</th></tr></thead><tbody><tr><td class='num' data-sort='1'><span class='medal' role='img' aria-label='gold medal'>πŸ₯‡</span>1</td><td class='method' data-sort='RFImportance'>RFImportance</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1288.0'>1288<span class='sub'>+43 / βˆ’40</span></td><td class='num' data-sort='5.9'>5.90</td><td class='num' data-sort='12.4'>12.4</td><td class='num shaded' data-sort='0.661' style='background:rgba(0,114,178,0.52)'>0.661</td><td class='num shaded' data-sort='0.6' style='background:rgba(213,94,0,0.48)'>0.600</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='2'><span class='medal' role='img' aria-label='silver medal'>πŸ₯ˆ</span>2</td><td class='method' data-sort='CART'>CART</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1232.0'>1232<span class='sub'>+40 / βˆ’31</span></td><td class='num' data-sort='6.65'>6.65</td><td class='num' data-sort='15.6'>15.6</td><td class='num shaded' data-sort='0.402' style='background:rgba(0,114,178,0.35)'>0.402</td><td class='num shaded' data-sort='0.507' style='background:rgba(213,94,0,0.42)'>0.507</td><td class='num' data-sort='0.1'>0.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='3'><span class='medal' role='img' aria-label='bronze medal'>πŸ₯‰</span>3</td><td class='method' data-sort='MI'>MI</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1218.0'>1218<span class='sub'>+38 / βˆ’35</span></td><td class='num' data-sort='6.94'>6.94</td><td class='num' data-sort='15.8'>15.8</td><td class='num shaded' data-sort='0.649' style='background:rgba(0,114,178,0.51)'>0.649</td><td class='num shaded' data-sort='0.723' style='background:rgba(213,94,0,0.56)'>0.723</td><td class='num' data-sort='0.4'>0.4</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='4'><span class='medal'></span>4</td><td class='method' data-sort='ElasticNet'>ElasticNet</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1212.0'>1212<span class='sub'>+39 / βˆ’41</span></td><td class='num' data-sort='7.02'>7.02</td><td class='num' data-sort='15.9'>15.9</td><td class='num shaded' data-sort='0.419' style='background:rgba(0,114,178,0.36)'>0.419</td><td class='num shaded' data-sort='0.665' style='background:rgba(213,94,0,0.53)'>0.665</td><td class='num' data-sort='7.6'>7.6</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='5'><span class='medal'></span>5</td><td class='method' data-sort='Lasso'>Lasso</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1192.0'>1192<span class='sub'>+38 / βˆ’38</span></td><td class='num' data-sort='7.27'>7.27</td><td class='num' data-sort='16.4'>16.4</td><td class='num shaded' data-sort='0.334' style='background:rgba(0,114,178,0.30)'>0.334</td><td class='num shaded' data-sort='0.643' style='background:rgba(213,94,0,0.51)'>0.643</td><td class='num' data-sort='2.0'>2.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='6'><span class='medal'></span>6</td><td class='method' data-sort='F-Test'>F-Test</td><td class='' data-sort='Correlation'><span class='pill cat-non-search'>Correlation</span><span class='sub'>non-search</span></td><td class='num' data-sort='1189.0'>1189<span class='sub'>+33 / βˆ’32</span></td><td class='num' data-sort='7.37'>7.37</td><td class='num' data-sort='15.9'>15.9</td><td class='num shaded' data-sort='0.668' style='background:rgba(0,114,178,0.53)'>0.668</td><td class='num shaded' data-sort='0.781' style='background:rgba(213,94,0,0.60)'>0.781</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='7'><span class='medal'></span>7</td><td class='method' data-sort='(R)ReliefF'>(R)ReliefF</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='1172.0'>1172<span class='sub'>+38 / βˆ’35</span></td><td class='num' data-sort='7.8'>7.80</td><td class='num' data-sort='17.0'>17.0</td><td class='num shaded' data-sort='0.656' style='background:rgba(0,114,178,0.52)'>0.656</td><td class='num shaded' data-sort='0.667' style='background:rgba(213,94,0,0.53)'>0.667</td><td class='num' data-sort='14.3'>14.3</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='8'><span class='medal'></span>8</td><td class='method' data-sort='MarkovBlanket'>MarkovBlanket</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1158.0'>1158<span class='sub'>+31 / βˆ’36</span></td><td class='num' data-sort='8.15'>8.15</td><td class='num' data-sort='18.6'>18.6</td><td class='num shaded' data-sort='0.434' style='background:rgba(0,114,178,0.37)'>0.434</td><td class='num shaded' data-sort='0.473' style='background:rgba(213,94,0,0.40)'>0.473</td><td class='num' data-sort='0.1'>0.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='9'><span class='medal'></span>9</td><td class='method' data-sort='SBE'>SBE</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1155.0'>1155<span class='sub'>+44 / βˆ’49</span></td><td class='num' data-sort='8.03'>8.03</td><td class='num' data-sort='19.9'>19.9</td><td class='num shaded' data-sort='0.095' style='background:rgba(0,114,178,0.14)'>0.095</td><td class='num shaded' data-sort='0.53' style='background:rgba(213,94,0,0.44)'>0.530</td><td class='num' data-sort='1890.2'>1,890.2</td><td class='num' data-sort='44.9'>44.9</td></tr><tr><td class='num' data-sort='10'><span class='medal'></span>10</td><td class='method' data-sort='mRMR'>mRMR</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1155.0'>1155<span class='sub'>+35 / βˆ’36</span></td><td class='num' data-sort='8.09'>8.09</td><td class='num' data-sort='17.2'>17.2</td><td class='num shaded' data-sort='0.656' style='background:rgba(0,114,178,0.52)'>0.656</td><td class='num shaded' data-sort='0.593' style='background:rgba(213,94,0,0.48)'>0.593</td><td class='num' data-sort='0.5'>0.5</td><td class='num' data-sort='7.0'>7.0</td></tr><tr><td class='num' data-sort='11'><span class='medal'></span>11</td><td class='method' data-sort='GainRatio'>GainRatio</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1134.0'>1134<span class='sub'>+34 / βˆ’34</span></td><td class='num' data-sort='8.44'>8.44</td><td class='num' data-sort='18.3'>18.3</td><td class='num shaded' data-sort='0.641' style='background:rgba(0,114,178,0.51)'>0.641</td><td class='num shaded' data-sort='0.751' style='background:rgba(213,94,0,0.58)'>0.751</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='12'><span class='medal'></span>12</td><td class='method' data-sort='LOCO'>LOCO</td><td class='' data-sort='Leave-one-out'><span class='pill cat-search'>Leave-one-out</span><span class='sub'>search</span></td><td class='num' data-sort='1127.0'>1127<span class='sub'>+38 / βˆ’36</span></td><td class='num' data-sort='8.21'>8.21</td><td class='num' data-sort='20.4'>20.4</td><td class='num shaded' data-sort='0.114' style='background:rgba(0,114,178,0.16)'>0.114</td><td class='num shaded' data-sort='0.544' style='background:rgba(213,94,0,0.44)'>0.544</td><td class='num' data-sort='246.0'>246.0</td><td class='num' data-sort='12.3'>12.3</td></tr><tr><td class='num' data-sort='13'><span class='medal'></span>13</td><td class='method' data-sort='SFS'>SFS</td><td class='' data-sort='Forward search'><span class='pill cat-search'>Forward search</span><span class='sub'>search</span></td><td class='num' data-sort='1124.0'>1124<span class='sub'>+33 / βˆ’36</span></td><td class='num' data-sort='8.32'>8.32</td><td class='num' data-sort='20.2'>20.2</td><td class='num shaded' data-sort='0.225' style='background:rgba(0,114,178,0.23)'>0.225</td><td class='num shaded' data-sort='0.568' style='background:rgba(213,94,0,0.46)'>0.568</td><td class='num' data-sort='2771.3'>2,771.3</td><td class='num' data-sort='48.7'>48.7</td></tr><tr><td class='num' data-sort='14'><span class='medal'></span>14</td><td class='method' data-sort='Random'>Random</td><td class='' data-sort='Baseline'><span class='pill cat-baseline'>Baseline</span></td><td class='num' data-sort='1000.0'>1000<span class='sub'>+40 / βˆ’46</span></td><td class='num' data-sort='10.09'>10.09</td><td class='num' data-sort='25.9'>25.9</td><td class='num shaded' data-sort='0.002' style='background:rgba(0,114,178,0.08)'>0.002</td><td class='num shaded' data-sort='0.494' style='background:rgba(213,94,0,0.41)'>0.494</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='15'><span class='medal'></span>15</td><td class='method' data-sort='LaplacianScore'>LaplacianScore</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='929.0'>929<span class='sub'>+52 / βˆ’60</span></td><td class='num' data-sort='11.73'>11.73</td><td class='num' data-sort='33.1'>33.1</td><td class='num shaded' data-sort='0.689' style='background:rgba(0,114,178,0.54)'>0.689</td><td class='num shaded' data-sort='0.758' style='background:rgba(213,94,0,0.59)'>0.758</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr></tbody></table></div><script type='text/plain' id='sa-csv'>Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Avg. rank,Win rate (%),Improvability (%),Error vs. all features,Stability,Validity,Selection time (s),Fallback rate (%),#Datasets,#Comparisons
36
- 1,RFImportance,Non-search,Tree,1288.0,1248.0,1331.0,5.9,65.0,12.4,,0.661,0.6,0.2,0.0,71,1065
37
- 2,CART,Non-search,Tree,1232.0,1201.0,1272.0,6.65,59.7,15.6,,0.402,0.507,0.1,0.0,71,1065
38
- 3,MI,Non-search,Information theory,1218.0,1183.0,1256.0,6.94,57.6,15.8,,0.649,0.723,0.4,0.0,71,1065
39
- 4,ElasticNet,Non-search,Regularization,1212.0,1171.0,1251.0,7.02,57.0,15.9,,0.419,0.665,7.6,0.0,71,1065
40
- 5,Lasso,Non-search,Regularization,1192.0,1154.0,1230.0,7.27,55.2,16.4,,0.334,0.643,2.0,0.0,71,1065
41
- 6,F-Test,Non-search,Correlation,1189.0,1157.0,1222.0,7.37,54.5,15.9,,0.668,0.781,0.0,0.0,71,1065
42
- 7,(R)ReliefF,Non-search,Distance,1172.0,1137.0,1210.0,7.8,51.4,17.0,,0.656,0.667,14.3,0.0,71,1065
43
- 8,MarkovBlanket,Search,Backward search,1158.0,1122.0,1189.0,8.15,48.9,18.6,,0.434,0.473,0.1,0.0,71,1065
44
- 9,SBE,Search,Backward search,1155.0,1106.0,1199.0,8.03,49.8,19.9,,0.095,0.53,1890.2,44.9,71,1065
45
- 10,mRMR,Non-search,Information theory,1155.0,1119.0,1190.0,8.09,49.4,17.2,,0.656,0.593,0.5,7.0,71,1065
46
- 11,GainRatio,Non-search,Information theory,1134.0,1100.0,1168.0,8.44,46.9,18.3,,0.641,0.751,0.2,0.0,71,1065
47
- 12,LOCO,Search,Leave-one-out,1127.0,1091.0,1165.0,8.21,48.5,20.4,,0.114,0.544,246.0,12.3,71,1065
48
- 13,SFS,Search,Forward search,1124.0,1088.0,1157.0,8.32,47.7,20.2,,0.225,0.568,2771.3,48.7,71,1065
49
- 14,Random,Baseline,Baseline,1000.0,954.0,1040.0,10.09,35.1,25.9,,0.002,0.494,0.0,0.0,71,1065
50
- 15,LaplacianScore,Non-search,Distance,929.0,869.0,981.0,11.73,23.4,33.1,,0.689,0.758,0.2,0.0,71,1065
51
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+ </style></head><body><div class='toolbar'><span class='hint'>Click a column to sort. Hover a header for its definition. Stability and validity are shaded as in the Elo figure: darker is better.</span><button onclick="saCsv('selectarena_leaderboard.csv')">CSV</button></div><div class='wrap'><table id='sa-table'><thead><tr><th class='num' title='Rank by Elo.'>#</th><th class=''>Method</th><th class='' title='Taxonomy of the paper (Appendix A). Search methods evaluate many feature subsets with the model (forward, backward, leave-one-out); non-search methods use a proxy instead (correlation, distance, information theory, tree, regularization).'>Type</th><th class='num' title='Bradley-Terry Elo from pairwise matches within each dataset, budget and downstream model. Random = 1000. +/βˆ’ give the 95% bootstrap interval.'>Elo ↑</th><th class='num' title='Mean reduction of the downstream error compared with random selection on the same dataset, in % (as in the Pareto figure; Random is 0).'>Improvement over Random ↑</th><th class='num' title='Agreement of the selected features across bootstrap resamples (Nogueira et al., 2018).'>Stability ↑</th><th class='num' title='Share of the budget filled with original features when as many noise features are added.'>Validity ↑</th><th class='num' title='Median wall-clock time of the selection.'>Time (s) ↓</th><th class='num' title='Share of runs where the method ran out of time and random features filled the budget.'>Fallback (%)</th></tr></thead><tbody><tr><td class='num' data-sort='1'><span class='medal' role='img' aria-label='gold medal'>πŸ₯‡</span>1</td><td class='method' data-sort='RFImportance'>RFImportance</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1288.0'>1288<span class='sub'>+43 / βˆ’40</span></td><td class='num' data-sort='18.0'>18.0</td><td class='num shaded' data-sort='0.661' style='background:rgba(0,114,178,0.52)'>0.661</td><td class='num shaded' data-sort='0.6' style='background:rgba(213,94,0,0.48)'>0.600</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='2'><span class='medal' role='img' aria-label='silver medal'>πŸ₯ˆ</span>2</td><td class='method' data-sort='CART'>CART</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1232.0'>1232<span class='sub'>+40 / βˆ’31</span></td><td class='num' data-sort='14.4'>14.4</td><td class='num shaded' data-sort='0.402' style='background:rgba(0,114,178,0.35)'>0.402</td><td class='num shaded' data-sort='0.507' style='background:rgba(213,94,0,0.42)'>0.507</td><td class='num' data-sort='0.1'>0.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='3'><span class='medal' role='img' aria-label='bronze medal'>πŸ₯‰</span>3</td><td class='method' data-sort='MI'>MI</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1218.0'>1218<span class='sub'>+38 / βˆ’35</span></td><td class='num' data-sort='14.2'>14.2</td><td class='num shaded' data-sort='0.649' style='background:rgba(0,114,178,0.51)'>0.649</td><td class='num shaded' data-sort='0.723' style='background:rgba(213,94,0,0.56)'>0.723</td><td class='num' data-sort='0.4'>0.4</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='4'><span class='medal'></span>4</td><td class='method' data-sort='ElasticNet'>ElasticNet</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1212.0'>1212<span class='sub'>+39 / βˆ’41</span></td><td class='num' data-sort='13.5'>13.5</td><td class='num shaded' data-sort='0.419' style='background:rgba(0,114,178,0.36)'>0.419</td><td class='num shaded' data-sort='0.665' style='background:rgba(213,94,0,0.53)'>0.665</td><td class='num' data-sort='7.6'>7.6</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='5'><span class='medal'></span>5</td><td class='method' data-sort='Lasso'>Lasso</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1192.0'>1192<span class='sub'>+38 / βˆ’38</span></td><td class='num' data-sort='12.6'>12.6</td><td class='num shaded' data-sort='0.334' style='background:rgba(0,114,178,0.30)'>0.334</td><td class='num shaded' data-sort='0.643' style='background:rgba(213,94,0,0.51)'>0.643</td><td class='num' data-sort='2.0'>2.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='6'><span class='medal'></span>6</td><td class='method' data-sort='F-Test'>F-Test</td><td class='' data-sort='Correlation'><span class='pill cat-non-search'>Correlation</span><span class='sub'>non-search</span></td><td class='num' data-sort='1189.0'>1189<span class='sub'>+33 / βˆ’32</span></td><td class='num' data-sort='13.7'>13.7</td><td class='num shaded' data-sort='0.668' style='background:rgba(0,114,178,0.53)'>0.668</td><td class='num shaded' data-sort='0.781' style='background:rgba(213,94,0,0.60)'>0.781</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='7'><span class='medal'></span>7</td><td class='method' data-sort='(R)ReliefF'>(R)ReliefF</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='1172.0'>1172<span class='sub'>+38 / βˆ’35</span></td><td class='num' data-sort='12.9'>12.9</td><td class='num shaded' data-sort='0.656' style='background:rgba(0,114,178,0.52)'>0.656</td><td class='num shaded' data-sort='0.667' style='background:rgba(213,94,0,0.53)'>0.667</td><td class='num' data-sort='14.3'>14.3</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='8'><span class='medal'></span>8</td><td class='method' data-sort='MarkovBlanket'>MarkovBlanket</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1158.0'>1158<span class='sub'>+31 / βˆ’36</span></td><td class='num' data-sort='11.3'>11.3</td><td class='num shaded' data-sort='0.434' style='background:rgba(0,114,178,0.37)'>0.434</td><td class='num shaded' data-sort='0.473' style='background:rgba(213,94,0,0.40)'>0.473</td><td class='num' data-sort='0.1'>0.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='9'><span class='medal'></span>9</td><td class='method' data-sort='SBE'>SBE</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1155.0'>1155<span class='sub'>+44 / βˆ’49</span></td><td class='num' data-sort='6.3'>6.3</td><td class='num shaded' data-sort='0.095' style='background:rgba(0,114,178,0.14)'>0.095</td><td class='num shaded' data-sort='0.53' style='background:rgba(213,94,0,0.44)'>0.530</td><td class='num' data-sort='1890.2'>1,890.2</td><td class='num' data-sort='44.9'>44.9</td></tr><tr><td class='num' data-sort='10'><span class='medal'></span>10</td><td class='method' data-sort='mRMR'>mRMR</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1155.0'>1155<span class='sub'>+35 / βˆ’36</span></td><td class='num' data-sort='13.7'>13.7</td><td class='num shaded' data-sort='0.656' style='background:rgba(0,114,178,0.52)'>0.656</td><td class='num shaded' data-sort='0.593' style='background:rgba(213,94,0,0.48)'>0.593</td><td class='num' data-sort='0.5'>0.5</td><td class='num' data-sort='7.0'>7.0</td></tr><tr><td class='num' data-sort='11'><span class='medal'></span>11</td><td class='method' data-sort='GainRatio'>GainRatio</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1134.0'>1134<span class='sub'>+34 / βˆ’34</span></td><td class='num' data-sort='11.6'>11.6</td><td class='num shaded' data-sort='0.641' style='background:rgba(0,114,178,0.51)'>0.641</td><td class='num shaded' data-sort='0.751' style='background:rgba(213,94,0,0.58)'>0.751</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='12'><span class='medal'></span>12</td><td class='method' data-sort='LOCO'>LOCO</td><td class='' data-sort='Leave-one-out'><span class='pill cat-search'>Leave-one-out</span><span class='sub'>search</span></td><td class='num' data-sort='1127.0'>1127<span class='sub'>+38 / βˆ’36</span></td><td class='num' data-sort='5.0'>5.0</td><td class='num shaded' data-sort='0.114' style='background:rgba(0,114,178,0.16)'>0.114</td><td class='num shaded' data-sort='0.544' style='background:rgba(213,94,0,0.44)'>0.544</td><td class='num' data-sort='246.0'>246.0</td><td class='num' data-sort='12.3'>12.3</td></tr><tr><td class='num' data-sort='13'><span class='medal'></span>13</td><td class='method' data-sort='SFS'>SFS</td><td class='' data-sort='Forward search'><span class='pill cat-search'>Forward search</span><span class='sub'>search</span></td><td class='num' data-sort='1124.0'>1124<span class='sub'>+33 / βˆ’36</span></td><td class='num' data-sort='8.1'>8.1</td><td class='num shaded' data-sort='0.225' style='background:rgba(0,114,178,0.23)'>0.225</td><td class='num shaded' data-sort='0.568' style='background:rgba(213,94,0,0.46)'>0.568</td><td class='num' data-sort='2771.3'>2,771.3</td><td class='num' data-sort='48.7'>48.7</td></tr><tr><td class='num' data-sort='14'><span class='medal'></span>14</td><td class='method' data-sort='Random'>Random</td><td class='' data-sort='Baseline'><span class='pill cat-baseline'>Baseline</span></td><td class='num' data-sort='1000.0'>1000<span class='sub'>+40 / βˆ’46</span></td><td class='num' data-sort='0.0'>0.0</td><td class='num shaded' data-sort='0.002' style='background:rgba(0,114,178,0.08)'>0.002</td><td class='num shaded' data-sort='0.494' style='background:rgba(213,94,0,0.41)'>0.494</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='15'><span class='medal'></span>15</td><td class='method' data-sort='LaplacianScore'>LaplacianScore</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='929.0'>929<span class='sub'>+52 / βˆ’60</span></td><td class='num' data-sort='-89.9'>-89.9</td><td class='num shaded' data-sort='0.689' style='background:rgba(0,114,178,0.54)'>0.689</td><td class='num shaded' data-sort='0.758' style='background:rgba(213,94,0,0.59)'>0.758</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr></tbody></table></div><script type='text/plain' id='sa-csv'>Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Improvement over Random (%),Stability,Validity,Selection time (s),Fallback rate (%)
36
+ 1,RFImportance,Non-search,Tree,1288.0,1248.0,1331.0,18.0,0.661,0.6,0.2,0.0
37
+ 2,CART,Non-search,Tree,1232.0,1201.0,1272.0,14.4,0.402,0.507,0.1,0.0
38
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36
  RFImportance,17.9516,45.6523,71,True
37
  CART,14.3581,15.705,71,True
38
  MI,14.1607,51.1336,71,False
data/subsets/tasks_all/models_all/budgets_3/website_leaderboard.csv CHANGED
@@ -1,16 +1,16 @@
1
- Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Avg. rank,Win rate (%),Improvability (%),Error vs. all features,Stability,Validity,Selection time (s),Fallback rate (%),#Datasets,#Comparisons
2
- 1,RFImportance,Non-search,Tree,1288.0,1248.0,1331.0,5.9,65.0,12.4,,0.661,0.6,0.2,0.0,71,1065
3
- 2,CART,Non-search,Tree,1232.0,1201.0,1272.0,6.65,59.7,15.6,,0.402,0.507,0.1,0.0,71,1065
4
- 3,MI,Non-search,Information theory,1218.0,1183.0,1256.0,6.94,57.6,15.8,,0.649,0.723,0.4,0.0,71,1065
5
- 4,ElasticNet,Non-search,Regularization,1212.0,1171.0,1251.0,7.02,57.0,15.9,,0.419,0.665,7.6,0.0,71,1065
6
- 5,Lasso,Non-search,Regularization,1192.0,1154.0,1230.0,7.27,55.2,16.4,,0.334,0.643,2.0,0.0,71,1065
7
- 6,F-Test,Non-search,Correlation,1189.0,1157.0,1222.0,7.37,54.5,15.9,,0.668,0.781,0.0,0.0,71,1065
8
- 7,(R)ReliefF,Non-search,Distance,1172.0,1137.0,1210.0,7.8,51.4,17.0,,0.656,0.667,14.3,0.0,71,1065
9
- 8,MarkovBlanket,Search,Backward search,1158.0,1122.0,1189.0,8.15,48.9,18.6,,0.434,0.473,0.1,0.0,71,1065
10
- 9,SBE,Search,Backward search,1155.0,1106.0,1199.0,8.03,49.8,19.9,,0.095,0.53,1890.2,44.9,71,1065
11
- 10,mRMR,Non-search,Information theory,1155.0,1119.0,1190.0,8.09,49.4,17.2,,0.656,0.593,0.5,7.0,71,1065
12
- 11,GainRatio,Non-search,Information theory,1134.0,1100.0,1168.0,8.44,46.9,18.3,,0.641,0.751,0.2,0.0,71,1065
13
- 12,LOCO,Search,Leave-one-out,1127.0,1091.0,1165.0,8.21,48.5,20.4,,0.114,0.544,246.0,12.3,71,1065
14
- 13,SFS,Search,Forward search,1124.0,1088.0,1157.0,8.32,47.7,20.2,,0.225,0.568,2771.3,48.7,71,1065
15
- 14,Random,Baseline,Baseline,1000.0,954.0,1040.0,10.09,35.1,25.9,,0.002,0.494,0.0,0.0,71,1065
16
- 15,LaplacianScore,Non-search,Distance,929.0,869.0,981.0,11.73,23.4,33.1,,0.689,0.758,0.2,0.0,71,1065
 
1
+ Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Avg. rank,Win rate (%),Improvability (%),Improvement over Random (%),Error vs. all features,Stability,Validity,Selection time (s),Fallback rate (%),#Datasets,#Comparisons
2
+ 1,RFImportance,Non-search,Tree,1288.0,1248.0,1331.0,5.9,65.0,12.4,18.0,,0.661,0.6,0.2,0.0,71,1065
3
+ 2,CART,Non-search,Tree,1232.0,1201.0,1272.0,6.65,59.7,15.6,14.4,,0.402,0.507,0.1,0.0,71,1065
4
+ 3,MI,Non-search,Information theory,1218.0,1183.0,1256.0,6.94,57.6,15.8,14.2,,0.649,0.723,0.4,0.0,71,1065
5
+ 4,ElasticNet,Non-search,Regularization,1212.0,1171.0,1251.0,7.02,57.0,15.9,13.5,,0.419,0.665,7.6,0.0,71,1065
6
+ 5,Lasso,Non-search,Regularization,1192.0,1154.0,1230.0,7.27,55.2,16.4,12.6,,0.334,0.643,2.0,0.0,71,1065
7
+ 6,F-Test,Non-search,Correlation,1189.0,1157.0,1222.0,7.37,54.5,15.9,13.7,,0.668,0.781,0.0,0.0,71,1065
8
+ 7,(R)ReliefF,Non-search,Distance,1172.0,1137.0,1210.0,7.8,51.4,17.0,12.9,,0.656,0.667,14.3,0.0,71,1065
9
+ 8,MarkovBlanket,Search,Backward search,1158.0,1122.0,1189.0,8.15,48.9,18.6,11.3,,0.434,0.473,0.1,0.0,71,1065
10
+ 9,SBE,Search,Backward search,1155.0,1106.0,1199.0,8.03,49.8,19.9,6.3,,0.095,0.53,1890.2,44.9,71,1065
11
+ 10,mRMR,Non-search,Information theory,1155.0,1119.0,1190.0,8.09,49.4,17.2,13.7,,0.656,0.593,0.5,7.0,71,1065
12
+ 11,GainRatio,Non-search,Information theory,1134.0,1100.0,1168.0,8.44,46.9,18.3,11.6,,0.641,0.751,0.2,0.0,71,1065
13
+ 12,LOCO,Search,Leave-one-out,1127.0,1091.0,1165.0,8.21,48.5,20.4,5.0,,0.114,0.544,246.0,12.3,71,1065
14
+ 13,SFS,Search,Forward search,1124.0,1088.0,1157.0,8.32,47.7,20.2,8.1,,0.225,0.568,2771.3,48.7,71,1065
15
+ 14,Random,Baseline,Baseline,1000.0,954.0,1040.0,10.09,35.1,25.9,0.0,,0.002,0.494,0.0,0.0,71,1065
16
+ 15,LaplacianScore,Non-search,Distance,929.0,869.0,981.0,11.73,23.4,33.1,-89.9,,0.689,0.758,0.2,0.0,71,1065
data/subsets/tasks_all/models_all/budgets_4/leaderboard_table.html CHANGED
@@ -32,22 +32,22 @@ td.na { color:var(--muted); }
32
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33
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34
  td.shaded { font-weight:600; }
35
- </style></head><body><div class='toolbar'><span class='hint'>Click a column to sort. Hover a header for its definition. Stability and validity are shaded as in the Elo figure: darker is better.</span><button onclick="saCsv('selectarena_leaderboard.csv')">CSV</button></div><div class='wrap'><table id='sa-table'><thead><tr><th class='num' title='Rank by Elo.'>#</th><th class=''>Method</th><th class='' title='Taxonomy of the paper (Appendix A). Search methods evaluate many feature subsets with the model (forward, backward, leave-one-out); non-search methods use a proxy instead (correlation, distance, information theory, tree, regularization).'>Type</th><th class='num' title='Bradley-Terry Elo from pairwise matches within each dataset, budget and downstream model. Random = 1000. +/βˆ’ give the 95% bootstrap interval.'>Elo ↑</th><th class='num' title='Mean rank of the downstream error.'>Avg. rank ↓</th><th class='num' title='Mean relative gap (error βˆ’ best error) / error to the best method, in %.'>Improvability ↓</th><th class='num' title='Agreement of the selected features across bootstrap resamples (Nogueira et al., 2018).'>Stability ↑</th><th class='num' title='Share of the budget filled with original features when as many noise features are added.'>Validity ↑</th><th class='num' title='Median wall-clock time of the selection.'>Time (s) ↓</th><th class='num' title='Share of runs where the method ran out of time and random features filled the budget.'>Fallback (%)</th></tr></thead><tbody><tr><td class='num' data-sort='1'><span class='medal' role='img' aria-label='gold medal'>πŸ₯‡</span>1</td><td class='method' data-sort='RFImportance'>RFImportance</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1250.0'>1250<span class='sub'>+34 / βˆ’29</span></td><td class='num' data-sort='6.2'>6.20</td><td class='num' data-sort='10.7'>10.7</td><td class='num shaded' data-sort='0.597' style='background:rgba(0,114,178,0.48)'>0.597</td><td class='num shaded' data-sort='0.507' style='background:rgba(213,94,0,0.42)'>0.507</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='2'><span class='medal' role='img' aria-label='silver medal'>πŸ₯ˆ</span>2</td><td class='method' data-sort='CART'>CART</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1189.0'>1189<span class='sub'>+35 / βˆ’34</span></td><td class='num' data-sort='6.97'>6.97</td><td class='num' data-sort='12.6'>12.6</td><td class='num shaded' data-sort='0.324' style='background:rgba(0,114,178,0.30)'>0.324</td><td class='num shaded' data-sort='0.482' style='background:rgba(213,94,0,0.40)'>0.482</td><td class='num' data-sort='0.1'>0.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='3'><span class='medal' role='img' aria-label='bronze medal'>πŸ₯‰</span>3</td><td class='method' data-sort='ElasticNet'>ElasticNet</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1172.0'>1172<span class='sub'>+34 / βˆ’34</span></td><td class='num' data-sort='7.21'>7.21</td><td class='num' data-sort='12.4'>12.4</td><td class='num shaded' data-sort='0.308' style='background:rgba(0,114,178,0.29)'>0.308</td><td class='num shaded' data-sort='0.568' style='background:rgba(213,94,0,0.46)'>0.568</td><td class='num' data-sort='7.7'>7.7</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='4'><span class='medal'></span>4</td><td class='method' data-sort='MI'>MI</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1171.0'>1171<span class='sub'>+29 / βˆ’34</span></td><td class='num' data-sort='7.24'>7.24</td><td class='num' data-sort='12.6'>12.6</td><td class='num shaded' data-sort='0.587' style='background:rgba(0,114,178,0.47)'>0.587</td><td class='num shaded' data-sort='0.627' style='background:rgba(213,94,0,0.50)'>0.627</td><td class='num' data-sort='0.4'>0.4</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='5'><span class='medal'></span>5</td><td class='method' data-sort='F-Test'>F-Test</td><td class='' data-sort='Correlation'><span class='pill cat-non-search'>Correlation</span><span class='sub'>non-search</span></td><td class='num' data-sort='1168.0'>1168<span class='sub'>+38 / βˆ’39</span></td><td class='num' data-sort='7.39'>7.39</td><td class='num' data-sort='11.8'>11.8</td><td class='num shaded' data-sort='0.562' style='background:rgba(0,114,178,0.46)'>0.562</td><td class='num shaded' data-sort='0.689' style='background:rgba(213,94,0,0.54)'>0.689</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='6'><span class='medal'></span>6</td><td class='method' data-sort='(R)ReliefF'>(R)ReliefF</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='1165.0'>1165<span class='sub'>+38 / βˆ’35</span></td><td class='num' data-sort='7.67'>7.67</td><td class='num' data-sort='13.0'>13.0</td><td class='num shaded' data-sort='0.612' style='background:rgba(0,114,178,0.49)'>0.612</td><td class='num shaded' data-sort='0.594' style='background:rgba(213,94,0,0.48)'>0.594</td><td class='num' data-sort='14.4'>14.4</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='7'><span class='medal'></span>7</td><td class='method' data-sort='Lasso'>Lasso</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1140.0'>1140<span class='sub'>+36 / βˆ’33</span></td><td class='num' data-sort='7.56'>7.56</td><td class='num' data-sort='13.1'>13.1</td><td class='num shaded' data-sort='0.246' style='background:rgba(0,114,178,0.24)'>0.246</td><td class='num shaded' data-sort='0.563' style='background:rgba(213,94,0,0.46)'>0.563</td><td class='num' data-sort='2.0'>2.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='8'><span class='medal'></span>8</td><td class='method' data-sort='mRMR'>mRMR</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1131.0'>1131<span class='sub'>+34 / βˆ’36</span></td><td class='num' data-sort='7.89'>7.89</td><td class='num' data-sort='12.5'>12.5</td><td class='num shaded' data-sort='0.651' style='background:rgba(0,114,178,0.52)'>0.651</td><td class='num shaded' data-sort='0.53' style='background:rgba(213,94,0,0.44)'>0.530</td><td class='num' data-sort='0.6'>0.6</td><td class='num' data-sort='9.9'>9.9</td></tr><tr><td class='num' data-sort='9'><span class='medal'></span>9</td><td class='method' data-sort='MarkovBlanket'>MarkovBlanket</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1115.0'>1115<span class='sub'>+36 / βˆ’38</span></td><td class='num' data-sort='8.26'>8.26</td><td class='num' data-sort='14.0'>14.0</td><td class='num shaded' data-sort='0.404' style='background:rgba(0,114,178,0.35)'>0.404</td><td class='num shaded' data-sort='0.463' style='background:rgba(213,94,0,0.39)'>0.463</td><td class='num' data-sort='0.1'>0.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='10'><span class='medal'></span>10</td><td class='method' data-sort='SBE'>SBE</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1113.0'>1113<span class='sub'>+37 / βˆ’40</span></td><td class='num' data-sort='8.31'>8.31</td><td class='num' data-sort='15.3'>15.3</td><td class='num shaded' data-sort='0.059' style='background:rgba(0,114,178,0.12)'>0.059</td><td class='num shaded' data-sort='0.517' style='background:rgba(213,94,0,0.43)'>0.517</td><td class='num' data-sort='989.9'>989.9</td><td class='num' data-sort='41.5'>41.5</td></tr><tr><td class='num' data-sort='11'><span class='medal'></span>11</td><td class='method' data-sort='LOCO'>LOCO</td><td class='' data-sort='Leave-one-out'><span class='pill cat-search'>Leave-one-out</span><span class='sub'>search</span></td><td class='num' data-sort='1097.0'>1097<span class='sub'>+33 / βˆ’32</span></td><td class='num' data-sort='8.26'>8.26</td><td class='num' data-sort='15.5'>15.5</td><td class='num shaded' data-sort='0.08' style='background:rgba(0,114,178,0.13)'>0.080</td><td class='num shaded' data-sort='0.52' style='background:rgba(213,94,0,0.43)'>0.520</td><td class='num' data-sort='243.3'>243.3</td><td class='num' data-sort='18.7'>18.7</td></tr><tr><td class='num' data-sort='12'><span class='medal'></span>12</td><td class='method' data-sort='GainRatio'>GainRatio</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1097.0'>1097<span class='sub'>+35 / βˆ’33</span></td><td class='num' data-sort='8.5'>8.50</td><td class='num' data-sort='14.9'>14.9</td><td class='num shaded' data-sort='0.55' style='background:rgba(0,114,178,0.45)'>0.550</td><td class='num shaded' data-sort='0.659' style='background:rgba(213,94,0,0.52)'>0.659</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='13'><span class='medal'></span>13</td><td class='method' data-sort='SFS'>SFS</td><td class='' data-sort='Forward search'><span class='pill cat-search'>Forward search</span><span class='sub'>search</span></td><td class='num' data-sort='1092.0'>1092<span class='sub'>+30 / βˆ’33</span></td><td class='num' data-sort='8.46'>8.46</td><td class='num' data-sort='15.4'>15.4</td><td class='num shaded' data-sort='0.176' style='background:rgba(0,114,178,0.20)'>0.176</td><td class='num shaded' data-sort='0.525' style='background:rgba(213,94,0,0.43)'>0.525</td><td class='num' data-sort='2953.5'>2,953.5</td><td class='num' data-sort='48.8'>48.8</td></tr><tr><td class='num' data-sort='14'><span class='medal'></span>14</td><td class='method' data-sort='Random'>Random</td><td class='' data-sort='Baseline'><span class='pill cat-baseline'>Baseline</span></td><td class='num' data-sort='1000.0'>1000<span class='sub'>+40 / βˆ’42</span></td><td class='num' data-sort='9.67'>9.67</td><td class='num' data-sort='18.9'>18.9</td><td class='num shaded' data-sort='0.002' style='background:rgba(0,114,178,0.08)'>0.002</td><td class='num shaded' data-sort='0.5' style='background:rgba(213,94,0,0.42)'>0.500</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='15'><span class='medal'></span>15</td><td class='method' data-sort='LaplacianScore'>LaplacianScore</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='980.0'>980<span class='sub'>+46 / βˆ’56</span></td><td class='num' data-sort='10.39'>10.39</td><td class='num' data-sort='23.1'>23.1</td><td class='num shaded' data-sort='0.678' style='background:rgba(0,114,178,0.53)'>0.678</td><td class='num shaded' data-sort='0.701' style='background:rgba(213,94,0,0.55)'>0.701</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr></tbody></table></div><script type='text/plain' id='sa-csv'>Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Avg. rank,Win rate (%),Improvability (%),Error vs. all features,Stability,Validity,Selection time (s),Fallback rate (%),#Datasets,#Comparisons
36
- 1,RFImportance,Non-search,Tree,1250.0,1221.0,1284.0,6.2,62.9,10.7,,0.597,0.507,0.2,0.0,71,1065
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- 2,CART,Non-search,Tree,1189.0,1155.0,1224.0,6.97,57.4,12.6,,0.324,0.482,0.1,0.0,71,1065
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- 3,ElasticNet,Non-search,Regularization,1172.0,1138.0,1206.0,7.21,55.6,12.4,,0.308,0.568,7.7,0.0,71,1065
39
- 4,MI,Non-search,Information theory,1171.0,1137.0,1200.0,7.24,55.4,12.6,,0.587,0.627,0.4,0.0,71,1065
40
- 5,F-Test,Non-search,Correlation,1168.0,1129.0,1206.0,7.39,54.3,11.8,,0.562,0.689,0.0,0.0,71,1065
41
- 6,(R)ReliefF,Non-search,Distance,1165.0,1130.0,1203.0,7.67,52.3,13.0,,0.612,0.594,14.4,0.0,71,1065
42
- 7,Lasso,Non-search,Regularization,1140.0,1107.0,1176.0,7.56,53.1,13.1,,0.246,0.563,2.0,0.0,71,1065
43
- 8,mRMR,Non-search,Information theory,1131.0,1095.0,1165.0,7.89,50.8,12.5,,0.651,0.53,0.6,9.9,71,1065
44
- 9,MarkovBlanket,Search,Backward search,1115.0,1077.0,1151.0,8.26,48.1,14.0,,0.404,0.463,0.1,0.0,71,1065
45
- 10,SBE,Search,Backward search,1113.0,1073.0,1150.0,8.31,47.8,15.3,,0.059,0.517,989.9,41.5,71,1064
46
- 11,LOCO,Search,Leave-one-out,1097.0,1065.0,1130.0,8.26,48.2,15.5,,0.08,0.52,243.3,18.7,71,1065
47
- 12,GainRatio,Non-search,Information theory,1097.0,1064.0,1132.0,8.5,46.4,14.9,,0.55,0.659,0.2,0.0,71,1065
48
- 13,SFS,Search,Forward search,1092.0,1059.0,1122.0,8.46,46.7,15.4,,0.176,0.525,2953.5,48.8,71,1064
49
- 14,Random,Baseline,Baseline,1000.0,958.0,1040.0,9.67,38.1,18.9,,0.002,0.5,0.0,0.0,71,1065
50
- 15,LaplacianScore,Non-search,Distance,980.0,924.0,1026.0,10.39,32.9,23.1,,0.678,0.701,0.2,0.0,71,1065
51
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+ </style></head><body><div class='toolbar'><span class='hint'>Click a column to sort. Hover a header for its definition. Stability and validity are shaded as in the Elo figure: darker is better.</span><button onclick="saCsv('selectarena_leaderboard.csv')">CSV</button></div><div class='wrap'><table id='sa-table'><thead><tr><th class='num' title='Rank by Elo.'>#</th><th class=''>Method</th><th class='' title='Taxonomy of the paper (Appendix A). Search methods evaluate many feature subsets with the model (forward, backward, leave-one-out); non-search methods use a proxy instead (correlation, distance, information theory, tree, regularization).'>Type</th><th class='num' title='Bradley-Terry Elo from pairwise matches within each dataset, budget and downstream model. Random = 1000. +/βˆ’ give the 95% bootstrap interval.'>Elo ↑</th><th class='num' title='Mean reduction of the downstream error compared with random selection on the same dataset, in % (as in the Pareto figure; Random is 0).'>Improvement over Random ↑</th><th class='num' title='Agreement of the selected features across bootstrap resamples (Nogueira et al., 2018).'>Stability ↑</th><th class='num' title='Share of the budget filled with original features when as many noise features are added.'>Validity ↑</th><th class='num' title='Median wall-clock time of the selection.'>Time (s) ↓</th><th class='num' title='Share of runs where the method ran out of time and random features filled the budget.'>Fallback (%)</th></tr></thead><tbody><tr><td class='num' data-sort='1'><span class='medal' role='img' aria-label='gold medal'>πŸ₯‡</span>1</td><td class='method' data-sort='RFImportance'>RFImportance</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1250.0'>1250<span class='sub'>+34 / βˆ’29</span></td><td class='num' data-sort='11.1'>11.1</td><td class='num shaded' data-sort='0.597' style='background:rgba(0,114,178,0.48)'>0.597</td><td class='num shaded' data-sort='0.507' style='background:rgba(213,94,0,0.42)'>0.507</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='2'><span class='medal' role='img' aria-label='silver medal'>πŸ₯ˆ</span>2</td><td class='method' data-sort='CART'>CART</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1189.0'>1189<span class='sub'>+35 / βˆ’34</span></td><td class='num' data-sort='7.6'>7.6</td><td class='num shaded' data-sort='0.324' style='background:rgba(0,114,178,0.30)'>0.324</td><td class='num shaded' data-sort='0.482' style='background:rgba(213,94,0,0.40)'>0.482</td><td class='num' data-sort='0.1'>0.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='3'><span class='medal' role='img' aria-label='bronze medal'>πŸ₯‰</span>3</td><td class='method' data-sort='ElasticNet'>ElasticNet</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1172.0'>1172<span class='sub'>+34 / βˆ’34</span></td><td class='num' data-sort='8.7'>8.7</td><td class='num shaded' data-sort='0.308' style='background:rgba(0,114,178,0.29)'>0.308</td><td class='num shaded' data-sort='0.568' style='background:rgba(213,94,0,0.46)'>0.568</td><td class='num' data-sort='7.7'>7.7</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='4'><span class='medal'></span>4</td><td class='method' data-sort='MI'>MI</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1171.0'>1171<span class='sub'>+29 / βˆ’34</span></td><td class='num' data-sort='7.4'>7.4</td><td class='num shaded' data-sort='0.587' style='background:rgba(0,114,178,0.47)'>0.587</td><td class='num shaded' data-sort='0.627' style='background:rgba(213,94,0,0.50)'>0.627</td><td class='num' data-sort='0.4'>0.4</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='5'><span class='medal'></span>5</td><td class='method' data-sort='F-Test'>F-Test</td><td class='' data-sort='Correlation'><span class='pill cat-non-search'>Correlation</span><span class='sub'>non-search</span></td><td class='num' data-sort='1168.0'>1168<span class='sub'>+38 / βˆ’39</span></td><td class='num' data-sort='9.9'>9.9</td><td class='num shaded' data-sort='0.562' style='background:rgba(0,114,178,0.46)'>0.562</td><td class='num shaded' data-sort='0.689' style='background:rgba(213,94,0,0.54)'>0.689</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='6'><span class='medal'></span>6</td><td class='method' data-sort='(R)ReliefF'>(R)ReliefF</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='1165.0'>1165<span class='sub'>+38 / βˆ’35</span></td><td class='num' data-sort='8.1'>8.1</td><td class='num shaded' data-sort='0.612' style='background:rgba(0,114,178,0.49)'>0.612</td><td class='num shaded' data-sort='0.594' style='background:rgba(213,94,0,0.48)'>0.594</td><td class='num' data-sort='14.4'>14.4</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='7'><span class='medal'></span>7</td><td class='method' data-sort='Lasso'>Lasso</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1140.0'>1140<span class='sub'>+36 / βˆ’33</span></td><td class='num' data-sort='7.5'>7.5</td><td class='num shaded' data-sort='0.246' style='background:rgba(0,114,178,0.24)'>0.246</td><td class='num shaded' data-sort='0.563' style='background:rgba(213,94,0,0.46)'>0.563</td><td class='num' data-sort='2.0'>2.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='8'><span class='medal'></span>8</td><td class='method' data-sort='mRMR'>mRMR</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1131.0'>1131<span class='sub'>+34 / βˆ’36</span></td><td class='num' data-sort='9.0'>9.0</td><td class='num shaded' data-sort='0.651' style='background:rgba(0,114,178,0.52)'>0.651</td><td class='num shaded' data-sort='0.53' style='background:rgba(213,94,0,0.44)'>0.530</td><td class='num' data-sort='0.6'>0.6</td><td class='num' data-sort='9.9'>9.9</td></tr><tr><td class='num' data-sort='9'><span class='medal'></span>9</td><td class='method' data-sort='MarkovBlanket'>MarkovBlanket</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1115.0'>1115<span class='sub'>+36 / βˆ’38</span></td><td class='num' data-sort='6.5'>6.5</td><td class='num shaded' data-sort='0.404' style='background:rgba(0,114,178,0.35)'>0.404</td><td class='num shaded' data-sort='0.463' style='background:rgba(213,94,0,0.39)'>0.463</td><td class='num' data-sort='0.1'>0.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='10'><span class='medal'></span>10</td><td class='method' data-sort='SBE'>SBE</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1113.0'>1113<span class='sub'>+37 / βˆ’40</span></td><td class='num' data-sort='3.9'>3.9</td><td class='num shaded' data-sort='0.059' style='background:rgba(0,114,178,0.12)'>0.059</td><td class='num shaded' data-sort='0.517' style='background:rgba(213,94,0,0.43)'>0.517</td><td class='num' data-sort='989.9'>989.9</td><td class='num' data-sort='41.5'>41.5</td></tr><tr><td class='num' data-sort='11'><span class='medal'></span>11</td><td class='method' data-sort='LOCO'>LOCO</td><td class='' data-sort='Leave-one-out'><span class='pill cat-search'>Leave-one-out</span><span class='sub'>search</span></td><td class='num' data-sort='1097.0'>1097<span class='sub'>+33 / βˆ’32</span></td><td class='num' data-sort='4.4'>4.4</td><td class='num shaded' data-sort='0.08' style='background:rgba(0,114,178,0.13)'>0.080</td><td class='num shaded' data-sort='0.52' style='background:rgba(213,94,0,0.43)'>0.520</td><td class='num' data-sort='243.3'>243.3</td><td class='num' data-sort='18.7'>18.7</td></tr><tr><td class='num' data-sort='12'><span class='medal'></span>12</td><td class='method' data-sort='GainRatio'>GainRatio</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1097.0'>1097<span class='sub'>+35 / βˆ’33</span></td><td class='num' data-sort='6.0'>6.0</td><td class='num shaded' data-sort='0.55' style='background:rgba(0,114,178,0.45)'>0.550</td><td class='num shaded' data-sort='0.659' style='background:rgba(213,94,0,0.52)'>0.659</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='13'><span class='medal'></span>13</td><td class='method' data-sort='SFS'>SFS</td><td class='' data-sort='Forward search'><span class='pill cat-search'>Forward search</span><span class='sub'>search</span></td><td class='num' data-sort='1092.0'>1092<span class='sub'>+30 / βˆ’33</span></td><td class='num' data-sort='3.4'>3.4</td><td class='num shaded' data-sort='0.176' style='background:rgba(0,114,178,0.20)'>0.176</td><td class='num shaded' data-sort='0.525' style='background:rgba(213,94,0,0.43)'>0.525</td><td class='num' data-sort='2953.5'>2,953.5</td><td class='num' data-sort='48.8'>48.8</td></tr><tr><td class='num' data-sort='14'><span class='medal'></span>14</td><td class='method' data-sort='Random'>Random</td><td class='' data-sort='Baseline'><span class='pill cat-baseline'>Baseline</span></td><td class='num' data-sort='1000.0'>1000<span class='sub'>+40 / βˆ’42</span></td><td class='num' data-sort='0.0'>0.0</td><td class='num shaded' data-sort='0.002' style='background:rgba(0,114,178,0.08)'>0.002</td><td class='num shaded' data-sort='0.5' style='background:rgba(213,94,0,0.42)'>0.500</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='15'><span class='medal'></span>15</td><td class='method' data-sort='LaplacianScore'>LaplacianScore</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='980.0'>980<span class='sub'>+46 / βˆ’56</span></td><td class='num' data-sort='-92.1'>-92.1</td><td class='num shaded' data-sort='0.678' style='background:rgba(0,114,178,0.53)'>0.678</td><td class='num shaded' data-sort='0.701' style='background:rgba(213,94,0,0.55)'>0.701</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr></tbody></table></div><script type='text/plain' id='sa-csv'>Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Improvement over Random (%),Stability,Validity,Selection time (s),Fallback rate (%)
36
+ 1,RFImportance,Non-search,Tree,1250.0,1221.0,1284.0,11.1,0.597,0.507,0.2,0.0
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+ 2,CART,Non-search,Tree,1189.0,1155.0,1224.0,7.6,0.324,0.482,0.1,0.0
38
+ 3,ElasticNet,Non-search,Regularization,1172.0,1138.0,1206.0,8.7,0.308,0.568,7.7,0.0
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+ 4,MI,Non-search,Information theory,1171.0,1137.0,1200.0,7.4,0.587,0.627,0.4,0.0
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+ 5,F-Test,Non-search,Correlation,1168.0,1129.0,1206.0,9.9,0.562,0.689,0.0,0.0
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+ 6,(R)ReliefF,Non-search,Distance,1165.0,1130.0,1203.0,8.1,0.612,0.594,14.4,0.0
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+ 7,Lasso,Non-search,Regularization,1140.0,1107.0,1176.0,7.5,0.246,0.563,2.0,0.0
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+ 8,mRMR,Non-search,Information theory,1131.0,1095.0,1165.0,9.0,0.651,0.53,0.6,9.9
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+ 9,MarkovBlanket,Search,Backward search,1115.0,1077.0,1151.0,6.5,0.404,0.463,0.1,0.0
45
+ 10,SBE,Search,Backward search,1113.0,1073.0,1150.0,3.9,0.059,0.517,989.9,41.5
46
+ 11,LOCO,Search,Leave-one-out,1097.0,1065.0,1130.0,4.4,0.08,0.52,243.3,18.7
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+ 12,GainRatio,Non-search,Information theory,1097.0,1064.0,1132.0,6.0,0.55,0.659,0.2,0.0
48
+ 13,SFS,Search,Forward search,1092.0,1059.0,1122.0,3.4,0.176,0.525,2953.5,48.8
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+ 14,Random,Baseline,Baseline,1000.0,958.0,1040.0,0.0,0.002,0.5,0.0,0.0
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36
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y1='121.7' y2='121.7'/><text class='sa-text' x='57.9' y='127.7' text-anchor='end' font-size='15'>8</text><line class='sa-grid' x1='66.9' x2='847.8' y1='64.2' y2='64.2'/><text class='sa-text' x='57.9' y='70.2' text-anchor='end' font-size='15'>10</text><rect class='sa-frame-line' x='66.9' y='16.2' width='780.9' height='351.8'/><text class='sa-text' x='457.4' y='420.0' text-anchor='middle' font-size='15'>Feature Selection Time (s) per 1k Features</text><text class='sa-text' transform='translate(21.0 192.1) rotate(-90)' text-anchor='middle' font-size='15'>Improvement over Random (%)</text><defs><marker id='sa-arrow' viewBox='0 0 10 10' refX='9' refY='5' markerWidth='7' markerHeight='7' orient='auto-start-reverse'><path d='M0,0 L10,5 L0,10' fill='none' stroke='#009E73' stroke-width='1.6'/></marker></defs><line x1='109.5' y1='51.9' x2='68.9' y2='18.2' stroke='#009E73' stroke-width='2.2' marker-end='url(#sa-arrow)'/><text x='82.5' y='75.9' fill='#009E73' font-size='18' 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data/subsets/tasks_all/models_all/budgets_4/website_leaderboard.csv CHANGED
@@ -1,16 +1,16 @@
1
- Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Avg. rank,Win rate (%),Improvability (%),Error vs. all features,Stability,Validity,Selection time (s),Fallback rate (%),#Datasets,#Comparisons
2
- 1,RFImportance,Non-search,Tree,1250.0,1221.0,1284.0,6.2,62.9,10.7,,0.597,0.507,0.2,0.0,71,1065
3
- 2,CART,Non-search,Tree,1189.0,1155.0,1224.0,6.97,57.4,12.6,,0.324,0.482,0.1,0.0,71,1065
4
- 3,ElasticNet,Non-search,Regularization,1172.0,1138.0,1206.0,7.21,55.6,12.4,,0.308,0.568,7.7,0.0,71,1065
5
- 4,MI,Non-search,Information theory,1171.0,1137.0,1200.0,7.24,55.4,12.6,,0.587,0.627,0.4,0.0,71,1065
6
- 5,F-Test,Non-search,Correlation,1168.0,1129.0,1206.0,7.39,54.3,11.8,,0.562,0.689,0.0,0.0,71,1065
7
- 6,(R)ReliefF,Non-search,Distance,1165.0,1130.0,1203.0,7.67,52.3,13.0,,0.612,0.594,14.4,0.0,71,1065
8
- 7,Lasso,Non-search,Regularization,1140.0,1107.0,1176.0,7.56,53.1,13.1,,0.246,0.563,2.0,0.0,71,1065
9
- 8,mRMR,Non-search,Information theory,1131.0,1095.0,1165.0,7.89,50.8,12.5,,0.651,0.53,0.6,9.9,71,1065
10
- 9,MarkovBlanket,Search,Backward search,1115.0,1077.0,1151.0,8.26,48.1,14.0,,0.404,0.463,0.1,0.0,71,1065
11
- 10,SBE,Search,Backward search,1113.0,1073.0,1150.0,8.31,47.8,15.3,,0.059,0.517,989.9,41.5,71,1064
12
- 11,LOCO,Search,Leave-one-out,1097.0,1065.0,1130.0,8.26,48.2,15.5,,0.08,0.52,243.3,18.7,71,1065
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- 12,GainRatio,Non-search,Information theory,1097.0,1064.0,1132.0,8.5,46.4,14.9,,0.55,0.659,0.2,0.0,71,1065
14
- 13,SFS,Search,Forward search,1092.0,1059.0,1122.0,8.46,46.7,15.4,,0.176,0.525,2953.5,48.8,71,1064
15
- 14,Random,Baseline,Baseline,1000.0,958.0,1040.0,9.67,38.1,18.9,,0.002,0.5,0.0,0.0,71,1065
16
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1
+ Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Avg. rank,Win rate (%),Improvability (%),Improvement over Random (%),Error vs. all features,Stability,Validity,Selection time (s),Fallback rate (%),#Datasets,#Comparisons
2
+ 1,RFImportance,Non-search,Tree,1250.0,1221.0,1284.0,6.2,62.9,10.7,11.1,,0.597,0.507,0.2,0.0,71,1065
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5
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6
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7
+ 6,(R)ReliefF,Non-search,Distance,1165.0,1130.0,1203.0,7.67,52.3,13.0,8.1,,0.612,0.594,14.4,0.0,71,1065
8
+ 7,Lasso,Non-search,Regularization,1140.0,1107.0,1176.0,7.56,53.1,13.1,7.5,,0.246,0.563,2.0,0.0,71,1065
9
+ 8,mRMR,Non-search,Information theory,1131.0,1095.0,1165.0,7.89,50.8,12.5,9.0,,0.651,0.53,0.6,9.9,71,1065
10
+ 9,MarkovBlanket,Search,Backward search,1115.0,1077.0,1151.0,8.26,48.1,14.0,6.5,,0.404,0.463,0.1,0.0,71,1065
11
+ 10,SBE,Search,Backward search,1113.0,1073.0,1150.0,8.31,47.8,15.3,3.9,,0.059,0.517,989.9,41.5,71,1064
12
+ 11,LOCO,Search,Leave-one-out,1097.0,1065.0,1130.0,8.26,48.2,15.5,4.4,,0.08,0.52,243.3,18.7,71,1065
13
+ 12,GainRatio,Non-search,Information theory,1097.0,1064.0,1132.0,8.5,46.4,14.9,6.0,,0.55,0.659,0.2,0.0,71,1065
14
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15
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16
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- </style></head><body><div class='toolbar'><span class='hint'>Click a column to sort. Hover a header for its definition. Stability and validity are shaded as in the Elo figure: darker is better.</span><button onclick="saCsv('selectarena_leaderboard.csv')">CSV</button></div><div class='wrap'><table id='sa-table'><thead><tr><th class='num' title='Rank by Elo.'>#</th><th class=''>Method</th><th class='' title='Taxonomy of the paper (Appendix A). Search methods evaluate many feature subsets with the model (forward, backward, leave-one-out); non-search methods use a proxy instead (correlation, distance, information theory, tree, regularization).'>Type</th><th class='num' title='Bradley-Terry Elo from pairwise matches within each dataset, budget and downstream model. Random = 1000. +/βˆ’ give the 95% bootstrap interval.'>Elo ↑</th><th class='num' title='Mean rank of the downstream error.'>Avg. rank ↓</th><th class='num' title='Mean relative gap (error βˆ’ best error) / error to the best method, in %.'>Improvability ↓</th><th class='num' title='Agreement of the selected features across bootstrap resamples (Nogueira et al., 2018).'>Stability ↑</th><th class='num' title='Share of the budget filled with original features when as many noise features are added.'>Validity ↑</th><th class='num' title='Median wall-clock time of the selection.'>Time (s) ↓</th><th class='num' title='Share of runs where the method ran out of time and random features filled the budget.'>Fallback (%)</th></tr></thead><tbody><tr><td class='num' data-sort='1'><span class='medal' role='img' aria-label='gold medal'>πŸ₯‡</span>1</td><td class='method' data-sort='RFImportance'>RFImportance</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1310.0'>1310<span class='sub'>+32 / βˆ’31</span></td><td class='num' data-sort='6.15'>6.15</td><td class='num' data-sort='15.1'>15.1</td><td class='num shaded' data-sort='0.643' style='background:rgba(0,114,178,0.51)'>0.643</td><td class='num shaded' data-sort='0.669' style='background:rgba(213,94,0,0.53)'>0.669</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='2'><span class='medal' role='img' aria-label='silver medal'>πŸ₯ˆ</span>2</td><td class='method' data-sort='CART'>CART</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1265.0'>1265<span class='sub'>+34 / βˆ’29</span></td><td class='num' data-sort='6.69'>6.69</td><td class='num' data-sort='18.0'>18.0</td><td class='num shaded' data-sort='0.422' style='background:rgba(0,114,178,0.36)'>0.422</td><td class='num shaded' data-sort='0.586' style='background:rgba(213,94,0,0.47)'>0.586</td><td class='num' data-sort='0.1'>0.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='3'><span class='medal' role='img' aria-label='bronze medal'>πŸ₯‰</span>3</td><td class='method' data-sort='ElasticNet'>ElasticNet</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1252.0'>1252<span class='sub'>+32 / βˆ’33</span></td><td class='num' data-sort='6.87'>6.87</td><td class='num' data-sort='18.3'>18.3</td><td class='num shaded' data-sort='0.447' style='background:rgba(0,114,178,0.38)'>0.447</td><td class='num shaded' data-sort='0.76' style='background:rgba(213,94,0,0.59)'>0.760</td><td class='num' data-sort='7.6'>7.6</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='4'><span class='medal'></span>4</td><td class='method' data-sort='MI'>MI</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1248.0'>1248<span class='sub'>+28 / βˆ’24</span></td><td class='num' data-sort='6.99'>6.99</td><td class='num' data-sort='18.2'>18.2</td><td class='num shaded' data-sort='0.647' style='background:rgba(0,114,178,0.51)'>0.647</td><td class='num shaded' data-sort='0.785' style='background:rgba(213,94,0,0.61)'>0.785</td><td class='num' data-sort='0.4'>0.4</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='5'><span class='medal'></span>5</td><td class='method' data-sort='F-Test'>F-Test</td><td class='' data-sort='Correlation'><span class='pill cat-non-search'>Correlation</span><span class='sub'>non-search</span></td><td class='num' data-sort='1229.0'>1229<span class='sub'>+28 / βˆ’29</span></td><td class='num' data-sort='7.35'>7.35</td><td class='num' data-sort='19.0'>19.0</td><td class='num shaded' data-sort='0.679' style='background:rgba(0,114,178,0.53)'>0.679</td><td class='num shaded' data-sort='0.846' style='background:rgba(213,94,0,0.65)'>0.846</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='6'><span class='medal'></span>6</td><td class='method' data-sort='Lasso'>Lasso</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1226.0'>1226<span class='sub'>+29 / βˆ’32</span></td><td class='num' data-sort='7.2'>7.20</td><td class='num' data-sort='18.7'>18.7</td><td class='num shaded' data-sort='0.362' style='background:rgba(0,114,178,0.32)'>0.362</td><td class='num shaded' data-sort='0.73' style='background:rgba(213,94,0,0.57)'>0.730</td><td class='num' data-sort='2.1'>2.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='7'><span class='medal'></span>7</td><td class='method' data-sort='MarkovBlanket'>MarkovBlanket</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1220.0'>1220<span class='sub'>+27 / βˆ’28</span></td><td class='num' data-sort='7.55'>7.55</td><td class='num' data-sort='19.6'>19.6</td><td class='num shaded' data-sort='0.413' style='background:rgba(0,114,178,0.36)'>0.413</td><td class='num shaded' data-sort='0.463' style='background:rgba(213,94,0,0.39)'>0.463</td><td class='num' data-sort='0.1'>0.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='8'><span class='medal'></span>8</td><td class='method' data-sort='(R)ReliefF'>(R)ReliefF</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='1198.0'>1198<span class='sub'>+32 / βˆ’32</span></td><td class='num' data-sort='8.0'>8.00</td><td class='num' data-sort='20.6'>20.6</td><td class='num shaded' data-sort='0.646' style='background:rgba(0,114,178,0.51)'>0.646</td><td class='num shaded' data-sort='0.74' style='background:rgba(213,94,0,0.58)'>0.740</td><td class='num' data-sort='14.3'>14.3</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='9'><span class='medal'></span>9</td><td class='method' data-sort='mRMR'>mRMR</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1193.0'>1193<span class='sub'>+27 / βˆ’28</span></td><td class='num' data-sort='7.96'>7.96</td><td class='num' data-sort='19.9'>19.9</td><td class='num shaded' data-sort='0.604' style='background:rgba(0,114,178,0.48)'>0.604</td><td class='num shaded' data-sort='0.655' style='background:rgba(213,94,0,0.52)'>0.655</td><td class='num' data-sort='0.4'>0.4</td><td class='num' data-sort='3.4'>3.4</td></tr><tr><td class='num' data-sort='10'><span class='medal'></span>10</td><td class='method' data-sort='GainRatio'>GainRatio</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1183.0'>1183<span class='sub'>+28 / βˆ’26</span></td><td class='num' data-sort='8.19'>8.19</td><td class='num' data-sort='21.5'>21.5</td><td class='num shaded' data-sort='0.644' style='background:rgba(0,114,178,0.51)'>0.644</td><td class='num shaded' data-sort='0.825' style='background:rgba(213,94,0,0.63)'>0.825</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='11'><span class='medal'></span>11</td><td class='method' data-sort='SFS'>SFS</td><td class='' data-sort='Forward search'><span class='pill cat-search'>Forward search</span><span class='sub'>search</span></td><td class='num' data-sort='1178.0'>1178<span class='sub'>+31 / βˆ’32</span></td><td class='num' data-sort='7.99'>7.99</td><td class='num' data-sort='21.7'>21.7</td><td class='num shaded' data-sort='0.267' style='background:rgba(0,114,178,0.26)'>0.267</td><td class='num shaded' data-sort='0.627' style='background:rgba(213,94,0,0.50)'>0.627</td><td class='num' data-sort='2105.8'>2,105.8</td><td class='num' data-sort='43.5'>43.5</td></tr><tr><td class='num' data-sort='12'><span class='medal'></span>12</td><td class='method' data-sort='SBE'>SBE</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1169.0'>1169<span class='sub'>+38 / βˆ’39</span></td><td class='num' data-sort='8.31'>8.31</td><td class='num' data-sort='23.7'>23.7</td><td class='num shaded' data-sort='0.132' style='background:rgba(0,114,178,0.17)'>0.132</td><td class='num shaded' data-sort='0.56' style='background:rgba(213,94,0,0.46)'>0.560</td><td class='num' data-sort='2495.5'>2,495.5</td><td class='num' data-sort='46.5'>46.5</td></tr><tr><td class='num' data-sort='13'><span class='medal'></span>13</td><td class='method' data-sort='LOCO'>LOCO</td><td class='' data-sort='Leave-one-out'><span class='pill cat-search'>Leave-one-out</span><span class='sub'>search</span></td><td class='num' data-sort='1151.0'>1151<span class='sub'>+33 / βˆ’32</span></td><td class='num' data-sort='8.39'>8.39</td><td class='num' data-sort='23.8'>23.8</td><td class='num shaded' data-sort='0.173' style='background:rgba(0,114,178,0.20)'>0.173</td><td class='num shaded' data-sort='0.583' style='background:rgba(213,94,0,0.47)'>0.583</td><td class='num' data-sort='241.5'>241.5</td><td class='num' data-sort='7.6'>7.6</td></tr><tr><td class='num' data-sort='14'><span class='medal'></span>14</td><td class='method' data-sort='Random'>Random</td><td class='' data-sort='Baseline'><span class='pill cat-baseline'>Baseline</span></td><td class='num' data-sort='1000.0'>1000<span class='sub'>+32 / βˆ’34</span></td><td class='num' data-sort='10.72'>10.72</td><td class='num' data-sort='32.0'>32.0</td><td class='num shaded' data-sort='0.001' style='background:rgba(0,114,178,0.08)'>0.001</td><td class='num shaded' data-sort='0.5' style='background:rgba(213,94,0,0.42)'>0.500</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='15'><span class='medal'></span>15</td><td class='method' data-sort='LaplacianScore'>LaplacianScore</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='965.0'>965<span class='sub'>+43 / βˆ’52</span></td><td class='num' data-sort='11.64'>11.64</td><td class='num' data-sort='36.6'>36.6</td><td class='num shaded' data-sort='0.652' style='background:rgba(0,114,178,0.52)'>0.652</td><td class='num shaded' data-sort='0.797' style='background:rgba(213,94,0,0.61)'>0.797</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr></tbody></table></div><script type='text/plain' id='sa-csv'>Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Avg. rank,Win rate (%),Improvability (%),Error vs. all features,Stability,Validity,Selection time (s),Fallback rate (%),#Datasets,#Comparisons
36
- 1,RFImportance,Non-search,Tree,1310.0,1279.0,1342.0,6.15,63.2,15.1,,0.643,0.669,0.2,0.0,71,5325
37
- 2,CART,Non-search,Tree,1265.0,1236.0,1299.0,6.69,59.3,18.0,,0.422,0.586,0.1,0.0,71,5325
38
- 3,ElasticNet,Non-search,Regularization,1252.0,1219.0,1284.0,6.87,58.1,18.3,,0.447,0.76,7.6,0.0,71,5325
39
- 4,MI,Non-search,Information theory,1248.0,1224.0,1276.0,6.99,57.2,18.2,,0.647,0.785,0.4,0.0,71,5325
40
- 5,F-Test,Non-search,Correlation,1229.0,1200.0,1257.0,7.35,54.6,19.0,,0.679,0.846,0.0,0.0,71,5325
41
- 6,Lasso,Non-search,Regularization,1226.0,1194.0,1255.0,7.2,55.7,18.7,,0.362,0.73,2.1,0.0,71,5325
42
- 7,MarkovBlanket,Search,Backward search,1220.0,1192.0,1247.0,7.55,53.2,19.6,,0.413,0.463,0.1,0.0,71,5325
43
- 8,(R)ReliefF,Non-search,Distance,1198.0,1166.0,1230.0,8.0,50.0,20.6,,0.646,0.74,14.3,0.0,71,5325
44
- 9,mRMR,Non-search,Information theory,1193.0,1165.0,1220.0,7.96,50.3,19.9,,0.604,0.655,0.4,3.4,71,5325
45
- 10,GainRatio,Non-search,Information theory,1183.0,1157.0,1211.0,8.19,48.6,21.5,,0.644,0.825,0.2,0.0,71,5325
46
- 11,SFS,Search,Forward search,1178.0,1146.0,1209.0,7.99,50.1,21.7,,0.267,0.627,2105.8,43.5,71,5324
47
- 12,SBE,Search,Backward search,1169.0,1130.0,1207.0,8.31,47.8,23.7,,0.132,0.56,2495.5,46.5,71,5324
48
- 13,LOCO,Search,Leave-one-out,1151.0,1119.0,1184.0,8.39,47.2,23.8,,0.173,0.583,241.5,7.6,71,5325
49
- 14,Random,Baseline,Baseline,1000.0,966.0,1032.0,10.72,30.6,32.0,,0.001,0.5,0.0,0.0,71,5325
50
- 15,LaplacianScore,Non-search,Distance,965.0,913.0,1008.0,11.64,24.0,36.6,,0.652,0.797,0.2,0.0,71,5325
51
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35
+ </style></head><body><div class='toolbar'><span class='hint'>Click a column to sort. Hover a header for its definition. Stability and validity are shaded as in the Elo figure: darker is better.</span><button onclick="saCsv('selectarena_leaderboard.csv')">CSV</button></div><div class='wrap'><table id='sa-table'><thead><tr><th class='num' title='Rank by Elo.'>#</th><th class=''>Method</th><th class='' title='Taxonomy of the paper (Appendix A). Search methods evaluate many feature subsets with the model (forward, backward, leave-one-out); non-search methods use a proxy instead (correlation, distance, information theory, tree, regularization).'>Type</th><th class='num' title='Bradley-Terry Elo from pairwise matches within each dataset, budget and downstream model. Random = 1000. +/βˆ’ give the 95% bootstrap interval.'>Elo ↑</th><th class='num' title='Mean reduction of the downstream error compared with random selection on the same dataset, in % (as in the Pareto figure; Random is 0).'>Improvement over Random ↑</th><th class='num' title='Agreement of the selected features across bootstrap resamples (Nogueira et al., 2018).'>Stability ↑</th><th class='num' title='Share of the budget filled with original features when as many noise features are added.'>Validity ↑</th><th class='num' title='Median wall-clock time of the selection.'>Time (s) ↓</th><th class='num' title='Share of runs where the method ran out of time and random features filled the budget.'>Fallback (%)</th></tr></thead><tbody><tr><td class='num' data-sort='1'><span class='medal' role='img' aria-label='gold medal'>πŸ₯‡</span>1</td><td class='method' data-sort='RFImportance'>RFImportance</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1310.0'>1310<span class='sub'>+32 / βˆ’31</span></td><td class='num' data-sort='26.2'>26.2</td><td class='num shaded' data-sort='0.643' style='background:rgba(0,114,178,0.51)'>0.643</td><td class='num shaded' data-sort='0.669' style='background:rgba(213,94,0,0.53)'>0.669</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='2'><span class='medal' role='img' aria-label='silver medal'>πŸ₯ˆ</span>2</td><td class='method' data-sort='CART'>CART</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1265.0'>1265<span class='sub'>+34 / βˆ’29</span></td><td class='num' data-sort='23.8'>23.8</td><td class='num shaded' data-sort='0.422' style='background:rgba(0,114,178,0.36)'>0.422</td><td class='num shaded' data-sort='0.586' style='background:rgba(213,94,0,0.47)'>0.586</td><td class='num' data-sort='0.1'>0.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='3'><span class='medal' role='img' aria-label='bronze medal'>πŸ₯‰</span>3</td><td class='method' data-sort='ElasticNet'>ElasticNet</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1252.0'>1252<span class='sub'>+32 / βˆ’33</span></td><td class='num' data-sort='21.9'>21.9</td><td class='num shaded' data-sort='0.447' style='background:rgba(0,114,178,0.38)'>0.447</td><td class='num shaded' data-sort='0.76' style='background:rgba(213,94,0,0.59)'>0.760</td><td class='num' data-sort='7.6'>7.6</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='4'><span class='medal'></span>4</td><td class='method' data-sort='MI'>MI</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1248.0'>1248<span class='sub'>+28 / βˆ’24</span></td><td class='num' data-sort='23.8'>23.8</td><td class='num shaded' data-sort='0.647' style='background:rgba(0,114,178,0.51)'>0.647</td><td class='num shaded' data-sort='0.785' style='background:rgba(213,94,0,0.61)'>0.785</td><td class='num' data-sort='0.4'>0.4</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='5'><span class='medal'></span>5</td><td class='method' data-sort='F-Test'>F-Test</td><td class='' data-sort='Correlation'><span class='pill cat-non-search'>Correlation</span><span class='sub'>non-search</span></td><td class='num' data-sort='1229.0'>1229<span class='sub'>+28 / βˆ’29</span></td><td class='num' data-sort='22.8'>22.8</td><td class='num shaded' data-sort='0.679' style='background:rgba(0,114,178,0.53)'>0.679</td><td class='num shaded' data-sort='0.846' style='background:rgba(213,94,0,0.65)'>0.846</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='6'><span class='medal'></span>6</td><td class='method' data-sort='Lasso'>Lasso</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1226.0'>1226<span class='sub'>+29 / βˆ’32</span></td><td class='num' data-sort='20.9'>20.9</td><td class='num shaded' data-sort='0.362' style='background:rgba(0,114,178,0.32)'>0.362</td><td class='num shaded' data-sort='0.73' style='background:rgba(213,94,0,0.57)'>0.730</td><td class='num' data-sort='2.1'>2.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='7'><span class='medal'></span>7</td><td class='method' data-sort='MarkovBlanket'>MarkovBlanket</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1220.0'>1220<span class='sub'>+27 / βˆ’28</span></td><td class='num' data-sort='21.2'>21.2</td><td class='num shaded' data-sort='0.413' style='background:rgba(0,114,178,0.36)'>0.413</td><td class='num shaded' data-sort='0.463' style='background:rgba(213,94,0,0.39)'>0.463</td><td class='num' data-sort='0.1'>0.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='8'><span class='medal'></span>8</td><td class='method' data-sort='(R)ReliefF'>(R)ReliefF</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='1198.0'>1198<span class='sub'>+32 / βˆ’32</span></td><td class='num' data-sort='18.6'>18.6</td><td class='num shaded' data-sort='0.646' style='background:rgba(0,114,178,0.51)'>0.646</td><td class='num shaded' data-sort='0.74' style='background:rgba(213,94,0,0.58)'>0.740</td><td class='num' data-sort='14.3'>14.3</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='9'><span class='medal'></span>9</td><td class='method' data-sort='mRMR'>mRMR</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1193.0'>1193<span class='sub'>+27 / βˆ’28</span></td><td class='num' data-sort='21.7'>21.7</td><td class='num shaded' data-sort='0.604' style='background:rgba(0,114,178,0.48)'>0.604</td><td class='num shaded' data-sort='0.655' style='background:rgba(213,94,0,0.52)'>0.655</td><td class='num' data-sort='0.4'>0.4</td><td class='num' data-sort='3.4'>3.4</td></tr><tr><td class='num' data-sort='10'><span class='medal'></span>10</td><td class='method' data-sort='GainRatio'>GainRatio</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1183.0'>1183<span class='sub'>+28 / βˆ’26</span></td><td class='num' data-sort='19.5'>19.5</td><td class='num shaded' data-sort='0.644' style='background:rgba(0,114,178,0.51)'>0.644</td><td class='num shaded' data-sort='0.825' style='background:rgba(213,94,0,0.63)'>0.825</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='11'><span class='medal'></span>11</td><td class='method' data-sort='SFS'>SFS</td><td class='' data-sort='Forward search'><span class='pill cat-search'>Forward search</span><span class='sub'>search</span></td><td class='num' data-sort='1178.0'>1178<span class='sub'>+31 / βˆ’32</span></td><td class='num' data-sort='18.2'>18.2</td><td class='num shaded' data-sort='0.267' style='background:rgba(0,114,178,0.26)'>0.267</td><td class='num shaded' data-sort='0.627' style='background:rgba(213,94,0,0.50)'>0.627</td><td class='num' data-sort='2105.8'>2,105.8</td><td class='num' data-sort='43.5'>43.5</td></tr><tr><td class='num' data-sort='12'><span class='medal'></span>12</td><td class='method' data-sort='SBE'>SBE</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1169.0'>1169<span class='sub'>+38 / βˆ’39</span></td><td class='num' data-sort='11.4'>11.4</td><td class='num shaded' data-sort='0.132' style='background:rgba(0,114,178,0.17)'>0.132</td><td class='num shaded' data-sort='0.56' style='background:rgba(213,94,0,0.46)'>0.560</td><td class='num' data-sort='2495.5'>2,495.5</td><td class='num' data-sort='46.5'>46.5</td></tr><tr><td class='num' data-sort='13'><span class='medal'></span>13</td><td class='method' data-sort='LOCO'>LOCO</td><td class='' data-sort='Leave-one-out'><span class='pill cat-search'>Leave-one-out</span><span class='sub'>search</span></td><td class='num' data-sort='1151.0'>1151<span class='sub'>+33 / βˆ’32</span></td><td class='num' data-sort='13.0'>13.0</td><td class='num shaded' data-sort='0.173' style='background:rgba(0,114,178,0.20)'>0.173</td><td class='num shaded' data-sort='0.583' style='background:rgba(213,94,0,0.47)'>0.583</td><td class='num' data-sort='241.5'>241.5</td><td class='num' data-sort='7.6'>7.6</td></tr><tr><td class='num' data-sort='14'><span class='medal'></span>14</td><td class='method' data-sort='Random'>Random</td><td class='' data-sort='Baseline'><span class='pill cat-baseline'>Baseline</span></td><td class='num' data-sort='1000.0'>1000<span class='sub'>+32 / βˆ’34</span></td><td class='num' data-sort='0.0'>0.0</td><td class='num shaded' data-sort='0.001' style='background:rgba(0,114,178,0.08)'>0.001</td><td class='num shaded' data-sort='0.5' style='background:rgba(213,94,0,0.42)'>0.500</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='15'><span class='medal'></span>15</td><td class='method' data-sort='LaplacianScore'>LaplacianScore</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='965.0'>965<span class='sub'>+43 / βˆ’52</span></td><td class='num' data-sort='-18.6'>-18.6</td><td class='num shaded' data-sort='0.652' style='background:rgba(0,114,178,0.52)'>0.652</td><td class='num shaded' data-sort='0.797' style='background:rgba(213,94,0,0.61)'>0.797</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr></tbody></table></div><script type='text/plain' id='sa-csv'>Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Improvement over Random (%),Stability,Validity,Selection time (s),Fallback rate (%)
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42
+ 7,MarkovBlanket,Search,Backward search,1220.0,1192.0,1247.0,21.2,0.413,0.463,0.1,0.0
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44
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45
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47
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48
+ 13,LOCO,Search,Leave-one-out,1151.0,1119.0,1184.0,13.0,0.173,0.583,241.5,7.6
49
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@@ -1,16 +1,16 @@
1
- Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Avg. rank,Win rate (%),Improvability (%),Error vs. all features,Stability,Validity,Selection time (s),Fallback rate (%),#Datasets,#Comparisons
2
- 1,RFImportance,Non-search,Tree,1310.0,1279.0,1342.0,6.15,63.2,15.1,,0.643,0.669,0.2,0.0,71,5325
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- 2,CART,Non-search,Tree,1265.0,1236.0,1299.0,6.69,59.3,18.0,,0.422,0.586,0.1,0.0,71,5325
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- 3,ElasticNet,Non-search,Regularization,1252.0,1219.0,1284.0,6.87,58.1,18.3,,0.447,0.76,7.6,0.0,71,5325
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- 4,MI,Non-search,Information theory,1248.0,1224.0,1276.0,6.99,57.2,18.2,,0.647,0.785,0.4,0.0,71,5325
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- 5,F-Test,Non-search,Correlation,1229.0,1200.0,1257.0,7.35,54.6,19.0,,0.679,0.846,0.0,0.0,71,5325
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- 6,Lasso,Non-search,Regularization,1226.0,1194.0,1255.0,7.2,55.7,18.7,,0.362,0.73,2.1,0.0,71,5325
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- 7,MarkovBlanket,Search,Backward search,1220.0,1192.0,1247.0,7.55,53.2,19.6,,0.413,0.463,0.1,0.0,71,5325
9
- 8,(R)ReliefF,Non-search,Distance,1198.0,1166.0,1230.0,8.0,50.0,20.6,,0.646,0.74,14.3,0.0,71,5325
10
- 9,mRMR,Non-search,Information theory,1193.0,1165.0,1220.0,7.96,50.3,19.9,,0.604,0.655,0.4,3.4,71,5325
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- 10,GainRatio,Non-search,Information theory,1183.0,1157.0,1211.0,8.19,48.6,21.5,,0.644,0.825,0.2,0.0,71,5325
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- 11,SFS,Search,Forward search,1178.0,1146.0,1209.0,7.99,50.1,21.7,,0.267,0.627,2105.8,43.5,71,5324
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- 12,SBE,Search,Backward search,1169.0,1130.0,1207.0,8.31,47.8,23.7,,0.132,0.56,2495.5,46.5,71,5324
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- 13,LOCO,Search,Leave-one-out,1151.0,1119.0,1184.0,8.39,47.2,23.8,,0.173,0.583,241.5,7.6,71,5325
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- 14,Random,Baseline,Baseline,1000.0,966.0,1032.0,10.72,30.6,32.0,,0.001,0.5,0.0,0.0,71,5325
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- 15,LaplacianScore,Non-search,Distance,965.0,913.0,1008.0,11.64,24.0,36.6,,0.652,0.797,0.2,0.0,71,5325
 
1
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+ 1,RFImportance,Non-search,Tree,1310.0,1279.0,1342.0,6.15,63.2,15.1,26.2,,0.643,0.669,0.2,0.0,71,5325
3
+ 2,CART,Non-search,Tree,1265.0,1236.0,1299.0,6.69,59.3,18.0,23.8,,0.422,0.586,0.1,0.0,71,5325
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+ 3,ElasticNet,Non-search,Regularization,1252.0,1219.0,1284.0,6.87,58.1,18.3,21.9,,0.447,0.76,7.6,0.0,71,5325
5
+ 4,MI,Non-search,Information theory,1248.0,1224.0,1276.0,6.99,57.2,18.2,23.8,,0.647,0.785,0.4,0.0,71,5325
6
+ 5,F-Test,Non-search,Correlation,1229.0,1200.0,1257.0,7.35,54.6,19.0,22.8,,0.679,0.846,0.0,0.0,71,5325
7
+ 6,Lasso,Non-search,Regularization,1226.0,1194.0,1255.0,7.2,55.7,18.7,20.9,,0.362,0.73,2.1,0.0,71,5325
8
+ 7,MarkovBlanket,Search,Backward search,1220.0,1192.0,1247.0,7.55,53.2,19.6,21.2,,0.413,0.463,0.1,0.0,71,5325
9
+ 8,(R)ReliefF,Non-search,Distance,1198.0,1166.0,1230.0,8.0,50.0,20.6,18.6,,0.646,0.74,14.3,0.0,71,5325
10
+ 9,mRMR,Non-search,Information theory,1193.0,1165.0,1220.0,7.96,50.3,19.9,21.7,,0.604,0.655,0.4,3.4,71,5325
11
+ 10,GainRatio,Non-search,Information theory,1183.0,1157.0,1211.0,8.19,48.6,21.5,19.5,,0.644,0.825,0.2,0.0,71,5325
12
+ 11,SFS,Search,Forward search,1178.0,1146.0,1209.0,7.99,50.1,21.7,18.2,,0.267,0.627,2105.8,43.5,71,5324
13
+ 12,SBE,Search,Backward search,1169.0,1130.0,1207.0,8.31,47.8,23.7,11.4,,0.132,0.56,2495.5,46.5,71,5324
14
+ 13,LOCO,Search,Leave-one-out,1151.0,1119.0,1184.0,8.39,47.2,23.8,13.0,,0.173,0.583,241.5,7.6,71,5325
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+ 14,Random,Baseline,Baseline,1000.0,966.0,1032.0,10.72,30.6,32.0,0.0,,0.001,0.5,0.0,0.0,71,5325
16
+ 15,LaplacianScore,Non-search,Distance,965.0,913.0,1008.0,11.64,24.0,36.6,-18.6,,0.652,0.797,0.2,0.0,71,5325
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- </style></head><body><div class='toolbar'><span class='hint'>Click a column to sort. Hover a header for its definition. Stability and validity are shaded as in the Elo figure: darker is better.</span><button onclick="saCsv('selectarena_leaderboard.csv')">CSV</button></div><div class='wrap'><table id='sa-table'><thead><tr><th class='num' title='Rank by Elo.'>#</th><th class=''>Method</th><th class='' title='Taxonomy of the paper (Appendix A). Search methods evaluate many feature subsets with the model (forward, backward, leave-one-out); non-search methods use a proxy instead (correlation, distance, information theory, tree, regularization).'>Type</th><th class='num' title='Bradley-Terry Elo from pairwise matches within each dataset, budget and downstream model. Random = 1000. +/βˆ’ give the 95% bootstrap interval.'>Elo ↑</th><th class='num' title='Mean rank of the downstream error.'>Avg. rank ↓</th><th class='num' title='Mean relative gap (error βˆ’ best error) / error to the best method, in %.'>Improvability ↓</th><th class='num' title='Agreement of the selected features across bootstrap resamples (Nogueira et al., 2018).'>Stability ↑</th><th class='num' title='Share of the budget filled with original features when as many noise features are added.'>Validity ↑</th><th class='num' title='Median wall-clock time of the selection.'>Time (s) ↓</th><th class='num' title='Share of runs where the method ran out of time and random features filled the budget.'>Fallback (%)</th></tr></thead><tbody><tr><td class='num' data-sort='1'><span class='medal' role='img' aria-label='gold medal'>πŸ₯‡</span>1</td><td class='method' data-sort='RFImportance'>RFImportance</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1368.0'>1368<span class='sub'>+66 / βˆ’57</span></td><td class='num' data-sort='6.11'>6.11</td><td class='num' data-sort='18.1'>18.1</td><td class='num shaded' data-sort='0.628' style='background:rgba(0,114,178,0.50)'>0.628</td><td class='num shaded' data-sort='0.805' style='background:rgba(213,94,0,0.62)'>0.805</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='2'><span class='medal' role='img' aria-label='silver medal'>πŸ₯ˆ</span>2</td><td class='method' data-sort='CART'>CART</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1347.0'>1347<span class='sub'>+56 / βˆ’45</span></td><td class='num' data-sort='6.29'>6.29</td><td class='num' data-sort='20.1'>20.1</td><td class='num shaded' data-sort='0.484' style='background:rgba(0,114,178,0.40)'>0.484</td><td class='num shaded' data-sort='0.731' style='background:rgba(213,94,0,0.57)'>0.731</td><td class='num' data-sort='0.1'>0.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='3'><span class='medal' role='img' aria-label='bronze medal'>πŸ₯‰</span>3</td><td class='method' data-sort='MarkovBlanket'>MarkovBlanket</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1325.0'>1325<span class='sub'>+55 / βˆ’50</span></td><td class='num' data-sort='6.54'>6.54</td><td class='num' data-sort='21.1'>21.1</td><td class='num shaded' data-sort='0.418' style='background:rgba(0,114,178,0.36)'>0.418</td><td class='num shaded' data-sort='0.465' style='background:rgba(213,94,0,0.39)'>0.465</td><td class='num' data-sort='0.1'>0.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='4'><span class='medal'></span>4</td><td class='method' data-sort='SFS'>SFS</td><td class='' data-sort='Forward search'><span class='pill cat-search'>Forward search</span><span class='sub'>search</span></td><td class='num' data-sort='1312.0'>1312<span class='sub'>+56 / βˆ’56</span></td><td class='num' data-sort='6.76'>6.76</td><td class='num' data-sort='21.5'>21.5</td><td class='num shaded' data-sort='0.368' style='background:rgba(0,114,178,0.33)'>0.368</td><td class='num shaded' data-sort='0.75' style='background:rgba(213,94,0,0.58)'>0.750</td><td class='num' data-sort='1052.3'>1,052.3</td><td class='num' data-sort='29.1'>29.1</td></tr><tr><td class='num' data-sort='5'><span class='medal'></span>5</td><td class='method' data-sort='ElasticNet'>ElasticNet</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1304.0'>1304<span class='sub'>+46 / βˆ’46</span></td><td class='num' data-sort='7.01'>7.01</td><td class='num' data-sort='22.5'>22.5</td><td class='num shaded' data-sort='0.509' style='background:rgba(0,114,178,0.42)'>0.509</td><td class='num shaded' data-sort='0.915' style='background:rgba(213,94,0,0.69)'>0.915</td><td class='num' data-sort='6.1'>6.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='6'><span class='medal'></span>6</td><td class='method' data-sort='MI'>MI</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1292.0'>1292<span class='sub'>+43 / βˆ’42</span></td><td class='num' data-sort='7.12'>7.12</td><td class='num' data-sort='22.0'>22.0</td><td class='num shaded' data-sort='0.645' style='background:rgba(0,114,178,0.51)'>0.645</td><td class='num shaded' data-sort='0.898' style='background:rgba(213,94,0,0.68)'>0.898</td><td class='num' data-sort='0.4'>0.4</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='7'><span class='medal'></span>7</td><td class='method' data-sort='F-Test'>F-Test</td><td class='' data-sort='Correlation'><span class='pill cat-non-search'>Correlation</span><span class='sub'>non-search</span></td><td class='num' data-sort='1280.0'>1280<span class='sub'>+48 / βˆ’52</span></td><td class='num' data-sort='7.47'>7.47</td><td class='num' data-sort='22.8'>22.8</td><td class='num shaded' data-sort='0.725' style='background:rgba(0,114,178,0.57)'>0.725</td><td class='num shaded' data-sort='0.952' style='background:rgba(213,94,0,0.72)'>0.952</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='8'><span class='medal'></span>8</td><td class='method' data-sort='Lasso'>Lasso</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1270.0'>1270<span class='sub'>+43 / βˆ’49</span></td><td class='num' data-sort='7.48'>7.48</td><td class='num' data-sort='24.0'>24.0</td><td class='num shaded' data-sort='0.421' style='background:rgba(0,114,178,0.36)'>0.421</td><td class='num shaded' data-sort='0.89' style='background:rgba(213,94,0,0.68)'>0.890</td><td class='num' data-sort='2.0'>2.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='9'><span class='medal'></span>9</td><td class='method' data-sort='mRMR'>mRMR</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1254.0'>1254<span class='sub'>+45 / βˆ’44</span></td><td class='num' data-sort='7.73'>7.73</td><td class='num' data-sort='22.7'>22.7</td><td class='num shaded' data-sort='0.528' style='background:rgba(0,114,178,0.43)'>0.528</td><td class='num shaded' data-sort='0.779' style='background:rgba(213,94,0,0.60)'>0.779</td><td class='num' data-sort='0.3'>0.3</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='10'><span class='medal'></span>10</td><td class='method' data-sort='GainRatio'>GainRatio</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1234.0'>1234<span class='sub'>+50 / βˆ’49</span></td><td class='num' data-sort='8.12'>8.12</td><td class='num' data-sort='25.1'>25.1</td><td class='num shaded' data-sort='0.679' style='background:rgba(0,114,178,0.53)'>0.679</td><td class='num shaded' data-sort='0.942' style='background:rgba(213,94,0,0.71)'>0.942</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='11'><span class='medal'></span>11</td><td class='method' data-sort='SBE'>SBE</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1233.0'>1233<span class='sub'>+56 / βˆ’56</span></td><td class='num' data-sort='8.28'>8.28</td><td class='num' data-sort='27.0'>27.0</td><td class='num shaded' data-sort='0.195' style='background:rgba(0,114,178,0.21)'>0.195</td><td class='num shaded' data-sort='0.621' style='background:rgba(213,94,0,0.50)'>0.621</td><td class='num' data-sort='3579.1'>3,579.1</td><td class='num' data-sort='49.3'>49.3</td></tr><tr><td class='num' data-sort='12'><span class='medal'></span>12</td><td class='method' data-sort='LOCO'>LOCO</td><td class='' data-sort='Leave-one-out'><span class='pill cat-search'>Leave-one-out</span><span class='sub'>search</span></td><td class='num' data-sort='1194.0'>1194<span class='sub'>+47 / βˆ’47</span></td><td class='num' data-sort='8.42'>8.42</td><td class='num' data-sort='26.9'>26.9</td><td class='num shaded' data-sort='0.299' style='background:rgba(0,114,178,0.28)'>0.299</td><td class='num shaded' data-sort='0.665' style='background:rgba(213,94,0,0.53)'>0.665</td><td class='num' data-sort='240.9'>240.9</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='13'><span class='medal'></span>13</td><td class='method' data-sort='(R)ReliefF'>(R)ReliefF</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='1191.0'>1191<span class='sub'>+44 / βˆ’43</span></td><td class='num' data-sort='8.79'>8.79</td><td class='num' data-sort='28.4'>28.4</td><td class='num shaded' data-sort='0.642' style='background:rgba(0,114,178,0.51)'>0.642</td><td class='num shaded' data-sort='0.873' style='background:rgba(213,94,0,0.66)'>0.873</td><td class='num' data-sort='13.2'>13.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='14'><span class='medal'></span>14</td><td class='method' data-sort='Random'>Random</td><td class='' data-sort='Baseline'><span class='pill cat-baseline'>Baseline</span></td><td class='num' data-sort='1000.0'>1000<span class='sub'>+54 / βˆ’67</span></td><td class='num' data-sort='11.43'>11.43</td><td class='num' data-sort='39.7'>39.7</td><td class='num shaded' data-sort='-0.001' style='background:rgba(0,114,178,0.08)'>-0.001</td><td class='num shaded' data-sort='0.493' style='background:rgba(213,94,0,0.41)'>0.493</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='15'><span class='medal'></span>15</td><td class='method' data-sort='LaplacianScore'>LaplacianScore</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='934.0'>934<span class='sub'>+75 / βˆ’97</span></td><td class='num' data-sort='12.45'>12.45</td><td class='num' data-sort='44.3'>44.3</td><td class='num shaded' data-sort='0.588' style='background:rgba(0,114,178,0.47)'>0.588</td><td class='num shaded' data-sort='0.847' style='background:rgba(213,94,0,0.65)'>0.847</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr></tbody></table></div><script type='text/plain' id='sa-csv'>Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Avg. rank,Win rate (%),Improvability (%),Error vs. all features,Stability,Validity,Selection time (s),Fallback rate (%),#Datasets,#Comparisons
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- 1,RFImportance,Non-search,Tree,1368.0,1311.0,1434.0,6.11,63.5,18.1,,0.628,0.805,0.2,0.0,71,213
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- 2,CART,Non-search,Tree,1347.0,1302.0,1403.0,6.29,62.2,20.1,,0.484,0.731,0.1,0.0,71,213
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- 3,MarkovBlanket,Search,Backward search,1325.0,1275.0,1380.0,6.54,60.4,21.1,,0.418,0.465,0.1,0.0,71,213
39
- 4,SFS,Search,Forward search,1312.0,1256.0,1368.0,6.76,58.8,21.5,,0.368,0.75,1052.3,29.1,71,213
40
- 5,ElasticNet,Non-search,Regularization,1304.0,1258.0,1350.0,7.01,57.1,22.5,,0.509,0.915,6.1,0.0,71,213
41
- 6,MI,Non-search,Information theory,1292.0,1250.0,1335.0,7.12,56.3,22.0,,0.645,0.898,0.4,0.0,71,213
42
- 7,F-Test,Non-search,Correlation,1280.0,1228.0,1328.0,7.47,53.8,22.8,,0.725,0.952,0.0,0.0,71,213
43
- 8,Lasso,Non-search,Regularization,1270.0,1221.0,1313.0,7.48,53.7,24.0,,0.421,0.89,2.0,0.0,71,213
44
- 9,mRMR,Non-search,Information theory,1254.0,1210.0,1299.0,7.73,52.0,22.7,,0.528,0.779,0.3,0.0,71,213
45
- 10,GainRatio,Non-search,Information theory,1234.0,1185.0,1284.0,8.12,49.2,25.1,,0.679,0.942,0.2,0.0,71,213
46
- 11,SBE,Search,Backward search,1233.0,1177.0,1289.0,8.28,48.0,27.0,,0.195,0.621,3579.1,49.3,71,213
47
- 12,LOCO,Search,Leave-one-out,1194.0,1147.0,1241.0,8.42,47.0,26.9,,0.299,0.665,240.9,0.0,71,213
48
- 13,(R)ReliefF,Non-search,Distance,1191.0,1148.0,1235.0,8.79,44.4,28.4,,0.642,0.873,13.2,0.0,71,213
49
- 14,Random,Baseline,Baseline,1000.0,933.0,1054.0,11.43,25.5,39.7,,-0.001,0.493,0.0,0.0,71,213
50
- 15,LaplacianScore,Non-search,Distance,934.0,837.0,1009.0,12.45,18.2,44.3,,0.588,0.847,0.2,0.0,71,213
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+ </style></head><body><div class='toolbar'><span class='hint'>Click a column to sort. Hover a header for its definition. Stability and validity are shaded as in the Elo figure: darker is better.</span><button onclick="saCsv('selectarena_leaderboard.csv')">CSV</button></div><div class='wrap'><table id='sa-table'><thead><tr><th class='num' title='Rank by Elo.'>#</th><th class=''>Method</th><th class='' title='Taxonomy of the paper (Appendix A). Search methods evaluate many feature subsets with the model (forward, backward, leave-one-out); non-search methods use a proxy instead (correlation, distance, information theory, tree, regularization).'>Type</th><th class='num' title='Bradley-Terry Elo from pairwise matches within each dataset, budget and downstream model. Random = 1000. +/βˆ’ give the 95% bootstrap interval.'>Elo ↑</th><th class='num' title='Mean reduction of the downstream error compared with random selection on the same dataset, in % (as in the Pareto figure; Random is 0).'>Improvement over Random ↑</th><th class='num' title='Agreement of the selected features across bootstrap resamples (Nogueira et al., 2018).'>Stability ↑</th><th class='num' title='Share of the budget filled with original features when as many noise features are added.'>Validity ↑</th><th class='num' title='Median wall-clock time of the selection.'>Time (s) ↓</th><th class='num' title='Share of runs where the method ran out of time and random features filled the budget.'>Fallback (%)</th></tr></thead><tbody><tr><td class='num' data-sort='1'><span class='medal' role='img' aria-label='gold medal'>πŸ₯‡</span>1</td><td class='method' data-sort='RFImportance'>RFImportance</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1368.0'>1368<span class='sub'>+66 / βˆ’57</span></td><td class='num' data-sort='29.5'>29.5</td><td class='num shaded' data-sort='0.628' style='background:rgba(0,114,178,0.50)'>0.628</td><td class='num shaded' data-sort='0.805' style='background:rgba(213,94,0,0.62)'>0.805</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='2'><span class='medal' role='img' aria-label='silver medal'>πŸ₯ˆ</span>2</td><td class='method' data-sort='CART'>CART</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1347.0'>1347<span class='sub'>+56 / βˆ’45</span></td><td class='num' data-sort='27.7'>27.7</td><td class='num shaded' data-sort='0.484' style='background:rgba(0,114,178,0.40)'>0.484</td><td class='num shaded' data-sort='0.731' style='background:rgba(213,94,0,0.57)'>0.731</td><td class='num' data-sort='0.1'>0.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='3'><span class='medal' role='img' aria-label='bronze medal'>πŸ₯‰</span>3</td><td class='method' data-sort='MarkovBlanket'>MarkovBlanket</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1325.0'>1325<span class='sub'>+55 / βˆ’50</span></td><td class='num' data-sort='25.8'>25.8</td><td class='num shaded' data-sort='0.418' style='background:rgba(0,114,178,0.36)'>0.418</td><td class='num shaded' data-sort='0.465' style='background:rgba(213,94,0,0.39)'>0.465</td><td class='num' data-sort='0.1'>0.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='4'><span class='medal'></span>4</td><td class='method' data-sort='SFS'>SFS</td><td class='' data-sort='Forward search'><span class='pill cat-search'>Forward search</span><span class='sub'>search</span></td><td class='num' data-sort='1312.0'>1312<span class='sub'>+56 / βˆ’56</span></td><td class='num' data-sort='24.2'>24.2</td><td class='num shaded' data-sort='0.368' style='background:rgba(0,114,178,0.33)'>0.368</td><td class='num shaded' data-sort='0.75' style='background:rgba(213,94,0,0.58)'>0.750</td><td class='num' data-sort='1052.3'>1,052.3</td><td class='num' data-sort='29.1'>29.1</td></tr><tr><td class='num' data-sort='5'><span class='medal'></span>5</td><td class='method' data-sort='ElasticNet'>ElasticNet</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1304.0'>1304<span class='sub'>+46 / βˆ’46</span></td><td class='num' data-sort='25.2'>25.2</td><td class='num shaded' data-sort='0.509' style='background:rgba(0,114,178,0.42)'>0.509</td><td class='num shaded' data-sort='0.915' style='background:rgba(213,94,0,0.69)'>0.915</td><td class='num' data-sort='6.1'>6.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='6'><span class='medal'></span>6</td><td class='method' data-sort='MI'>MI</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1292.0'>1292<span class='sub'>+43 / βˆ’42</span></td><td class='num' data-sort='27.8'>27.8</td><td class='num shaded' data-sort='0.645' style='background:rgba(0,114,178,0.51)'>0.645</td><td class='num shaded' data-sort='0.898' style='background:rgba(213,94,0,0.68)'>0.898</td><td class='num' data-sort='0.4'>0.4</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='7'><span class='medal'></span>7</td><td class='method' data-sort='F-Test'>F-Test</td><td class='' data-sort='Correlation'><span class='pill cat-non-search'>Correlation</span><span class='sub'>non-search</span></td><td class='num' data-sort='1280.0'>1280<span class='sub'>+48 / βˆ’52</span></td><td class='num' data-sort='25.9'>25.9</td><td class='num shaded' data-sort='0.725' style='background:rgba(0,114,178,0.57)'>0.725</td><td class='num shaded' data-sort='0.952' style='background:rgba(213,94,0,0.72)'>0.952</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='8'><span class='medal'></span>8</td><td class='method' data-sort='Lasso'>Lasso</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1270.0'>1270<span class='sub'>+43 / βˆ’49</span></td><td class='num' data-sort='23.8'>23.8</td><td class='num shaded' data-sort='0.421' style='background:rgba(0,114,178,0.36)'>0.421</td><td class='num shaded' data-sort='0.89' style='background:rgba(213,94,0,0.68)'>0.890</td><td class='num' data-sort='2.0'>2.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='9'><span class='medal'></span>9</td><td class='method' data-sort='mRMR'>mRMR</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1254.0'>1254<span class='sub'>+45 / βˆ’44</span></td><td class='num' data-sort='25.6'>25.6</td><td class='num shaded' data-sort='0.528' style='background:rgba(0,114,178,0.43)'>0.528</td><td class='num shaded' data-sort='0.779' style='background:rgba(213,94,0,0.60)'>0.779</td><td class='num' data-sort='0.3'>0.3</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='10'><span class='medal'></span>10</td><td class='method' data-sort='GainRatio'>GainRatio</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1234.0'>1234<span class='sub'>+50 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shaded' data-sort='0.642' style='background:rgba(0,114,178,0.51)'>0.642</td><td class='num shaded' data-sort='0.873' style='background:rgba(213,94,0,0.66)'>0.873</td><td class='num' data-sort='13.2'>13.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='14'><span class='medal'></span>14</td><td class='method' data-sort='Random'>Random</td><td class='' data-sort='Baseline'><span class='pill cat-baseline'>Baseline</span></td><td class='num' data-sort='1000.0'>1000<span class='sub'>+54 / βˆ’67</span></td><td class='num' data-sort='0.0'>0.0</td><td class='num shaded' data-sort='-0.001' style='background:rgba(0,114,178,0.08)'>-0.001</td><td class='num shaded' data-sort='0.493' style='background:rgba(213,94,0,0.41)'>0.493</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='15'><span class='medal'></span>15</td><td class='method' data-sort='LaplacianScore'>LaplacianScore</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='934.0'>934<span class='sub'>+75 / βˆ’97</span></td><td class='num' data-sort='-19.0'>-19.0</td><td class='num shaded' data-sort='0.588' style='background:rgba(0,114,178,0.47)'>0.588</td><td class='num shaded' data-sort='0.847' style='background:rgba(213,94,0,0.65)'>0.847</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr></tbody></table></div><script type='text/plain' id='sa-csv'>Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Improvement over Random (%),Stability,Validity,Selection time (s),Fallback rate (%)
36
+ 1,RFImportance,Non-search,Tree,1368.0,1311.0,1434.0,29.5,0.628,0.805,0.2,0.0
37
+ 2,CART,Non-search,Tree,1347.0,1302.0,1403.0,27.7,0.484,0.731,0.1,0.0
38
+ 3,MarkovBlanket,Search,Backward search,1325.0,1275.0,1380.0,25.8,0.418,0.465,0.1,0.0
39
+ 4,SFS,Search,Forward search,1312.0,1256.0,1368.0,24.2,0.368,0.75,1052.3,29.1
40
+ 5,ElasticNet,Non-search,Regularization,1304.0,1258.0,1350.0,25.2,0.509,0.915,6.1,0.0
41
+ 6,MI,Non-search,Information theory,1292.0,1250.0,1335.0,27.8,0.645,0.898,0.4,0.0
42
+ 7,F-Test,Non-search,Correlation,1280.0,1228.0,1328.0,25.9,0.725,0.952,0.0,0.0
43
+ 8,Lasso,Non-search,Regularization,1270.0,1221.0,1313.0,23.8,0.421,0.89,2.0,0.0
44
+ 9,mRMR,Non-search,Information theory,1254.0,1210.0,1299.0,25.6,0.528,0.779,0.3,0.0
45
+ 10,GainRatio,Non-search,Information theory,1234.0,1185.0,1284.0,23.3,0.679,0.942,0.2,0.0
46
+ 11,SBE,Search,Backward search,1233.0,1177.0,1289.0,14.6,0.195,0.621,3579.1,49.3
47
+ 12,LOCO,Search,Leave-one-out,1194.0,1147.0,1241.0,16.2,0.299,0.665,240.9,0.0
48
+ 13,(R)ReliefF,Non-search,Distance,1191.0,1148.0,1235.0,19.7,0.642,0.873,13.2,0.0
49
+ 14,Random,Baseline,Baseline,1000.0,933.0,1054.0,0.0,-0.001,0.493,0.0,0.0
50
+ 15,LaplacianScore,Non-search,Distance,934.0,837.0,1009.0,-19.0,0.588,0.847,0.2,0.0
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data/subsets/tasks_all/models_lightgbm/budgets_0/website_leaderboard.csv CHANGED
@@ -1,16 +1,16 @@
1
- Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Avg. rank,Win rate (%),Improvability (%),Error vs. all features,Stability,Validity,Selection time (s),Fallback rate (%),#Datasets,#Comparisons
2
- 1,RFImportance,Non-search,Tree,1368.0,1311.0,1434.0,6.11,63.5,18.1,,0.628,0.805,0.2,0.0,71,213
3
- 2,CART,Non-search,Tree,1347.0,1302.0,1403.0,6.29,62.2,20.1,,0.484,0.731,0.1,0.0,71,213
4
- 3,MarkovBlanket,Search,Backward search,1325.0,1275.0,1380.0,6.54,60.4,21.1,,0.418,0.465,0.1,0.0,71,213
5
- 4,SFS,Search,Forward search,1312.0,1256.0,1368.0,6.76,58.8,21.5,,0.368,0.75,1052.3,29.1,71,213
6
- 5,ElasticNet,Non-search,Regularization,1304.0,1258.0,1350.0,7.01,57.1,22.5,,0.509,0.915,6.1,0.0,71,213
7
- 6,MI,Non-search,Information theory,1292.0,1250.0,1335.0,7.12,56.3,22.0,,0.645,0.898,0.4,0.0,71,213
8
- 7,F-Test,Non-search,Correlation,1280.0,1228.0,1328.0,7.47,53.8,22.8,,0.725,0.952,0.0,0.0,71,213
9
- 8,Lasso,Non-search,Regularization,1270.0,1221.0,1313.0,7.48,53.7,24.0,,0.421,0.89,2.0,0.0,71,213
10
- 9,mRMR,Non-search,Information theory,1254.0,1210.0,1299.0,7.73,52.0,22.7,,0.528,0.779,0.3,0.0,71,213
11
- 10,GainRatio,Non-search,Information theory,1234.0,1185.0,1284.0,8.12,49.2,25.1,,0.679,0.942,0.2,0.0,71,213
12
- 11,SBE,Search,Backward search,1233.0,1177.0,1289.0,8.28,48.0,27.0,,0.195,0.621,3579.1,49.3,71,213
13
- 12,LOCO,Search,Leave-one-out,1194.0,1147.0,1241.0,8.42,47.0,26.9,,0.299,0.665,240.9,0.0,71,213
14
- 13,(R)ReliefF,Non-search,Distance,1191.0,1148.0,1235.0,8.79,44.4,28.4,,0.642,0.873,13.2,0.0,71,213
15
- 14,Random,Baseline,Baseline,1000.0,933.0,1054.0,11.43,25.5,39.7,,-0.001,0.493,0.0,0.0,71,213
16
- 15,LaplacianScore,Non-search,Distance,934.0,837.0,1009.0,12.45,18.2,44.3,,0.588,0.847,0.2,0.0,71,213
 
1
+ Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Avg. rank,Win rate (%),Improvability (%),Improvement over Random (%),Error vs. all features,Stability,Validity,Selection time (s),Fallback rate (%),#Datasets,#Comparisons
2
+ 1,RFImportance,Non-search,Tree,1368.0,1311.0,1434.0,6.11,63.5,18.1,29.5,,0.628,0.805,0.2,0.0,71,213
3
+ 2,CART,Non-search,Tree,1347.0,1302.0,1403.0,6.29,62.2,20.1,27.7,,0.484,0.731,0.1,0.0,71,213
4
+ 3,MarkovBlanket,Search,Backward search,1325.0,1275.0,1380.0,6.54,60.4,21.1,25.8,,0.418,0.465,0.1,0.0,71,213
5
+ 4,SFS,Search,Forward search,1312.0,1256.0,1368.0,6.76,58.8,21.5,24.2,,0.368,0.75,1052.3,29.1,71,213
6
+ 5,ElasticNet,Non-search,Regularization,1304.0,1258.0,1350.0,7.01,57.1,22.5,25.2,,0.509,0.915,6.1,0.0,71,213
7
+ 6,MI,Non-search,Information theory,1292.0,1250.0,1335.0,7.12,56.3,22.0,27.8,,0.645,0.898,0.4,0.0,71,213
8
+ 7,F-Test,Non-search,Correlation,1280.0,1228.0,1328.0,7.47,53.8,22.8,25.9,,0.725,0.952,0.0,0.0,71,213
9
+ 8,Lasso,Non-search,Regularization,1270.0,1221.0,1313.0,7.48,53.7,24.0,23.8,,0.421,0.89,2.0,0.0,71,213
10
+ 9,mRMR,Non-search,Information theory,1254.0,1210.0,1299.0,7.73,52.0,22.7,25.6,,0.528,0.779,0.3,0.0,71,213
11
+ 10,GainRatio,Non-search,Information theory,1234.0,1185.0,1284.0,8.12,49.2,25.1,23.3,,0.679,0.942,0.2,0.0,71,213
12
+ 11,SBE,Search,Backward search,1233.0,1177.0,1289.0,8.28,48.0,27.0,14.6,,0.195,0.621,3579.1,49.3,71,213
13
+ 12,LOCO,Search,Leave-one-out,1194.0,1147.0,1241.0,8.42,47.0,26.9,16.2,,0.299,0.665,240.9,0.0,71,213
14
+ 13,(R)ReliefF,Non-search,Distance,1191.0,1148.0,1235.0,8.79,44.4,28.4,19.7,,0.642,0.873,13.2,0.0,71,213
15
+ 14,Random,Baseline,Baseline,1000.0,933.0,1054.0,11.43,25.5,39.7,0.0,,-0.001,0.493,0.0,0.0,71,213
16
+ 15,LaplacianScore,Non-search,Distance,934.0,837.0,1009.0,12.45,18.2,44.3,-19.0,,0.588,0.847,0.2,0.0,71,213
data/subsets/tasks_all/models_lightgbm/budgets_1/leaderboard_table.html CHANGED
@@ -32,22 +32,22 @@ td.na { color:var(--muted); }
32
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35
- </style></head><body><div class='toolbar'><span class='hint'>Click a column to sort. Hover a header for its definition. Stability and validity are shaded as in the Elo figure: darker is better.</span><button onclick="saCsv('selectarena_leaderboard.csv')">CSV</button></div><div class='wrap'><table id='sa-table'><thead><tr><th class='num' title='Rank by Elo.'>#</th><th class=''>Method</th><th class='' title='Taxonomy of the paper (Appendix A). Search methods evaluate many feature subsets with the model (forward, backward, leave-one-out); non-search methods use a proxy instead (correlation, distance, information theory, tree, regularization).'>Type</th><th class='num' title='Bradley-Terry Elo from pairwise matches within each dataset, budget and downstream model. Random = 1000. +/βˆ’ give the 95% bootstrap interval.'>Elo ↑</th><th class='num' title='Mean rank of the downstream error.'>Avg. rank ↓</th><th class='num' title='Mean relative gap (error βˆ’ best error) / error to the best method, in %.'>Improvability ↓</th><th class='num' title='Agreement of the selected features across bootstrap resamples (Nogueira et al., 2018).'>Stability ↑</th><th class='num' title='Share of the budget filled with original features when as many noise features are added.'>Validity ↑</th><th class='num' title='Median wall-clock time of the selection.'>Time (s) ↓</th><th class='num' title='Share of runs where the method ran out of time and random features filled the budget.'>Fallback (%)</th></tr></thead><tbody><tr><td class='num' data-sort='1'><span class='medal' role='img' aria-label='gold medal'>πŸ₯‡</span>1</td><td class='method' data-sort='RFImportance'>RFImportance</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1366.0'>1366<span class='sub'>+57 / βˆ’52</span></td><td class='num' data-sort='6.45'>6.45</td><td class='num' data-sort='16.8'>16.8</td><td class='num shaded' data-sort='0.653' style='background:rgba(0,114,178,0.52)'>0.653</td><td class='num shaded' data-sort='0.741' style='background:rgba(213,94,0,0.58)'>0.741</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='2'><span class='medal' role='img' aria-label='silver medal'>πŸ₯ˆ</span>2</td><td class='method' data-sort='ElasticNet'>ElasticNet</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1366.0'>1366<span class='sub'>+49 / βˆ’46</span></td><td class='num' data-sort='6.43'>6.43</td><td class='num' data-sort='18.4'>18.4</td><td class='num shaded' data-sort='0.519' style='background:rgba(0,114,178,0.43)'>0.519</td><td class='num shaded' data-sort='0.873' style='background:rgba(213,94,0,0.66)'>0.873</td><td class='num' data-sort='6.3'>6.3</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='3'><span class='medal' role='img' aria-label='bronze medal'>πŸ₯‰</span>3</td><td class='method' data-sort='CART'>CART</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1355.0'>1355<span class='sub'>+49 / βˆ’48</span></td><td class='num' data-sort='6.79'>6.79</td><td class='num' data-sort='19.1'>19.1</td><td class='num shaded' data-sort='0.456' style='background:rgba(0,114,178,0.39)'>0.456</td><td class='num shaded' data-sort='0.638' style='background:rgba(213,94,0,0.51)'>0.638</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='4'><span class='medal'></span>4</td><td class='method' data-sort='MarkovBlanket'>MarkovBlanket</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1340.0'>1340<span class='sub'>+47 / βˆ’40</span></td><td class='num' data-sort='7.03'>7.03</td><td class='num' data-sort='20.8'>20.8</td><td class='num shaded' data-sort='0.396' style='background:rgba(0,114,178,0.35)'>0.396</td><td class='num shaded' data-sort='0.467' style='background:rgba(213,94,0,0.39)'>0.467</td><td class='num' data-sort='0.1'>0.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='5'><span class='medal'></span>5</td><td class='method' data-sort='Lasso'>Lasso</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1338.0'>1338<span class='sub'>+48 / βˆ’50</span></td><td class='num' data-sort='6.73'>6.73</td><td class='num' data-sort='18.4'>18.4</td><td class='num shaded' data-sort='0.422' style='background:rgba(0,114,178,0.36)'>0.422</td><td class='num shaded' data-sort='0.825' style='background:rgba(213,94,0,0.63)'>0.825</td><td class='num' data-sort='2.1'>2.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='6'><span class='medal'></span>6</td><td class='method' data-sort='MI'>MI</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1325.0'>1325<span class='sub'>+41 / βˆ’36</span></td><td class='num' data-sort='7.01'>7.01</td><td class='num' data-sort='19.5'>19.5</td><td class='num shaded' data-sort='0.673' style='background:rgba(0,114,178,0.53)'>0.673</td><td class='num shaded' data-sort='0.863' style='background:rgba(213,94,0,0.66)'>0.863</td><td class='num' data-sort='0.4'>0.4</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='7'><span class='medal'></span>7</td><td class='method' data-sort='mRMR'>mRMR</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1311.0'>1311<span class='sub'>+50 / βˆ’48</span></td><td class='num' data-sort='7.63'>7.63</td><td class='num' data-sort='21.1'>21.1</td><td class='num shaded' data-sort='0.578' style='background:rgba(0,114,178,0.47)'>0.578</td><td class='num shaded' data-sort='0.712' style='background:rgba(213,94,0,0.56)'>0.712</td><td class='num' data-sort='0.3'>0.3</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='8'><span class='medal'></span>8</td><td class='method' data-sort='SFS'>SFS</td><td class='' data-sort='Forward search'><span class='pill cat-search'>Forward search</span><span class='sub'>search</span></td><td class='num' data-sort='1294.0'>1294<span class='sub'>+51 / βˆ’50</span></td><td class='num' data-sort='7.71'>7.71</td><td class='num' data-sort='22.7'>22.7</td><td class='num shaded' data-sort='0.278' style='background:rgba(0,114,178,0.27)'>0.278</td><td class='num shaded' data-sort='0.664' style='background:rgba(213,94,0,0.52)'>0.664</td><td class='num' data-sort='1770.9'>1,770.9</td><td class='num' data-sort='44.1'>44.1</td></tr><tr><td class='num' data-sort='9'><span class='medal'></span>9</td><td class='method' data-sort='GainRatio'>GainRatio</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1291.0'>1291<span class='sub'>+47 / βˆ’44</span></td><td class='num' data-sort='7.77'>7.77</td><td class='num' data-sort='22.6'>22.6</td><td class='num shaded' data-sort='0.681' style='background:rgba(0,114,178,0.54)'>0.681</td><td class='num shaded' data-sort='0.915' style='background:rgba(213,94,0,0.69)'>0.915</td><td class='num' data-sort='0.1'>0.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='10'><span class='medal'></span>10</td><td class='method' data-sort='F-Test'>F-Test</td><td class='' data-sort='Correlation'><span class='pill cat-non-search'>Correlation</span><span class='sub'>non-search</span></td><td class='num' data-sort='1289.0'>1289<span class='sub'>+47 / βˆ’48</span></td><td class='num' data-sort='7.73'>7.73</td><td class='num' data-sort='22.0'>22.0</td><td class='num shaded' data-sort='0.734' style='background:rgba(0,114,178,0.57)'>0.734</td><td class='num shaded' data-sort='0.932' style='background:rgba(213,94,0,0.70)'>0.932</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='11'><span class='medal'></span>11</td><td class='method' data-sort='(R)ReliefF'>(R)ReliefF</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='1275.0'>1275<span class='sub'>+49 / βˆ’50</span></td><td class='num' data-sort='8.04'>8.04</td><td class='num' data-sort='22.5'>22.5</td><td class='num shaded' data-sort='0.647' style='background:rgba(0,114,178,0.51)'>0.647</td><td class='num shaded' data-sort='0.808' style='background:rgba(213,94,0,0.62)'>0.808</td><td class='num' data-sort='12.8'>12.8</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='12'><span class='medal'></span>12</td><td class='method' data-sort='SBE'>SBE</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1259.0'>1259<span class='sub'>+55 / βˆ’59</span></td><td class='num' data-sort='8.01'>8.01</td><td class='num' data-sort='25.5'>25.5</td><td class='num shaded' data-sort='0.175' style='background:rgba(0,114,178,0.20)'>0.175</td><td class='num shaded' data-sort='0.578' style='background:rgba(213,94,0,0.47)'>0.578</td><td class='num' data-sort='3152.6'>3,152.6</td><td class='num' data-sort='48.8'>48.8</td></tr><tr><td class='num' data-sort='13'><span class='medal'></span>13</td><td class='method' data-sort='LOCO'>LOCO</td><td class='' data-sort='Leave-one-out'><span class='pill cat-search'>Leave-one-out</span><span class='sub'>search</span></td><td class='num' data-sort='1241.0'>1241<span class='sub'>+55 / βˆ’51</span></td><td class='num' data-sort='8.54'>8.54</td><td class='num' data-sort='25.5'>25.5</td><td class='num shaded' data-sort='0.22' style='background:rgba(0,114,178,0.23)'>0.220</td><td class='num shaded' data-sort='0.613' style='background:rgba(213,94,0,0.49)'>0.613</td><td class='num' data-sort='239.5'>239.5</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='14'><span class='medal'></span>14</td><td class='method' data-sort='Random'>Random</td><td class='' data-sort='Baseline'><span class='pill cat-baseline'>Baseline</span></td><td class='num' data-sort='1000.0'>1000<span class='sub'>+44 / βˆ’53</span></td><td class='num' data-sort='11.82'>11.82</td><td class='num' data-sort='38.0'>38.0</td><td class='num shaded' data-sort='0.001' style='background:rgba(0,114,178,0.08)'>0.001</td><td class='num shaded' data-sort='0.499' style='background:rgba(213,94,0,0.41)'>0.499</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='15'><span class='medal'></span>15</td><td class='method' data-sort='LaplacianScore'>LaplacianScore</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='995.0'>995<span class='sub'>+67 / βˆ’88</span></td><td class='num' data-sort='12.32'>12.32</td><td class='num' data-sort='41.7'>41.7</td><td class='num shaded' data-sort='0.644' style='background:rgba(0,114,178,0.51)'>0.644</td><td class='num shaded' data-sort='0.85' style='background:rgba(213,94,0,0.65)'>0.850</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr></tbody></table></div><script type='text/plain' id='sa-csv'>Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Avg. rank,Win rate (%),Improvability (%),Error vs. all features,Stability,Validity,Selection time (s),Fallback rate (%),#Datasets,#Comparisons
36
- 1,RFImportance,Non-search,Tree,1366.0,1314.0,1423.0,6.45,61.1,16.8,,0.653,0.741,0.2,0.0,71,213
37
- 2,ElasticNet,Non-search,Regularization,1366.0,1320.0,1415.0,6.43,61.2,18.4,,0.519,0.873,6.3,0.0,71,213
38
- 3,CART,Non-search,Tree,1355.0,1307.0,1404.0,6.79,58.6,19.1,,0.456,0.638,0.0,0.0,71,213
39
- 4,MarkovBlanket,Search,Backward search,1340.0,1300.0,1387.0,7.03,56.9,20.8,,0.396,0.467,0.1,0.0,71,213
40
- 5,Lasso,Non-search,Regularization,1338.0,1288.0,1386.0,6.73,59.1,18.4,,0.422,0.825,2.1,0.0,71,213
41
- 6,MI,Non-search,Information theory,1325.0,1289.0,1366.0,7.01,57.1,19.5,,0.673,0.863,0.4,0.0,71,213
42
- 7,mRMR,Non-search,Information theory,1311.0,1263.0,1361.0,7.63,52.6,21.1,,0.578,0.712,0.3,0.0,71,213
43
- 8,SFS,Search,Forward search,1294.0,1244.0,1345.0,7.71,52.1,22.7,,0.278,0.664,1770.9,44.1,71,213
44
- 9,GainRatio,Non-search,Information theory,1291.0,1247.0,1338.0,7.77,51.7,22.6,,0.681,0.915,0.1,0.0,71,213
45
- 10,F-Test,Non-search,Correlation,1289.0,1241.0,1336.0,7.73,51.9,22.0,,0.734,0.932,0.0,0.0,71,213
46
- 11,(R)ReliefF,Non-search,Distance,1275.0,1225.0,1324.0,8.04,49.7,22.5,,0.647,0.808,12.8,0.0,71,213
47
- 12,SBE,Search,Backward search,1259.0,1200.0,1314.0,8.01,50.0,25.5,,0.175,0.578,3152.6,48.8,71,213
48
- 13,LOCO,Search,Leave-one-out,1241.0,1190.0,1296.0,8.54,46.1,25.5,,0.22,0.613,239.5,0.0,71,213
49
- 14,Random,Baseline,Baseline,1000.0,947.0,1044.0,11.82,22.7,38.0,,0.001,0.499,0.0,0.0,71,213
50
- 15,LaplacianScore,Non-search,Distance,995.0,907.0,1062.0,12.32,19.1,41.7,,0.644,0.85,0.2,0.0,71,213
51
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+ </style></head><body><div class='toolbar'><span class='hint'>Click a column to sort. Hover a header for its definition. Stability and validity are shaded as in the Elo figure: darker is better.</span><button onclick="saCsv('selectarena_leaderboard.csv')">CSV</button></div><div class='wrap'><table id='sa-table'><thead><tr><th class='num' title='Rank by Elo.'>#</th><th class=''>Method</th><th class='' title='Taxonomy of the paper (Appendix A). Search methods evaluate many feature subsets with the model (forward, backward, leave-one-out); non-search methods use a proxy instead (correlation, distance, information theory, tree, regularization).'>Type</th><th class='num' title='Bradley-Terry Elo from pairwise matches within each dataset, budget and downstream model. Random = 1000. +/βˆ’ give the 95% bootstrap interval.'>Elo ↑</th><th class='num' title='Mean reduction of the downstream error compared with random selection on the same dataset, in % (as in the Pareto figure; Random is 0).'>Improvement over Random ↑</th><th class='num' title='Agreement of the selected features across bootstrap resamples (Nogueira et al., 2018).'>Stability ↑</th><th class='num' title='Share of the budget filled with original features when as many noise features are added.'>Validity ↑</th><th class='num' title='Median wall-clock time of the selection.'>Time (s) ↓</th><th class='num' title='Share of runs where the method ran out of time and random features filled the budget.'>Fallback (%)</th></tr></thead><tbody><tr><td class='num' data-sort='1'><span class='medal' role='img' aria-label='gold medal'>πŸ₯‡</span>1</td><td class='method' data-sort='RFImportance'>RFImportance</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1366.0'>1366<span class='sub'>+57 / βˆ’52</span></td><td class='num' data-sort='28.1'>28.1</td><td class='num shaded' data-sort='0.653' style='background:rgba(0,114,178,0.52)'>0.653</td><td class='num shaded' data-sort='0.741' style='background:rgba(213,94,0,0.58)'>0.741</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='2'><span class='medal' role='img' aria-label='silver medal'>πŸ₯ˆ</span>2</td><td class='method' data-sort='ElasticNet'>ElasticNet</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1366.0'>1366<span class='sub'>+49 / βˆ’46</span></td><td class='num' data-sort='25.7'>25.7</td><td class='num shaded' data-sort='0.519' style='background:rgba(0,114,178,0.43)'>0.519</td><td class='num shaded' data-sort='0.873' style='background:rgba(213,94,0,0.66)'>0.873</td><td class='num' data-sort='6.3'>6.3</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='3'><span class='medal' role='img' aria-label='bronze medal'>πŸ₯‰</span>3</td><td class='method' data-sort='CART'>CART</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1355.0'>1355<span class='sub'>+49 / βˆ’48</span></td><td class='num' data-sort='26.5'>26.5</td><td class='num shaded' data-sort='0.456' style='background:rgba(0,114,178,0.39)'>0.456</td><td class='num shaded' data-sort='0.638' style='background:rgba(213,94,0,0.51)'>0.638</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='4'><span class='medal'></span>4</td><td class='method' data-sort='MarkovBlanket'>MarkovBlanket</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1340.0'>1340<span class='sub'>+47 / βˆ’40</span></td><td class='num' data-sort='24.8'>24.8</td><td class='num shaded' data-sort='0.396' style='background:rgba(0,114,178,0.35)'>0.396</td><td class='num shaded' data-sort='0.467' style='background:rgba(213,94,0,0.39)'>0.467</td><td class='num' data-sort='0.1'>0.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='5'><span class='medal'></span>5</td><td class='method' data-sort='Lasso'>Lasso</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1338.0'>1338<span class='sub'>+48 / βˆ’50</span></td><td class='num' data-sort='25.4'>25.4</td><td class='num shaded' data-sort='0.422' style='background:rgba(0,114,178,0.36)'>0.422</td><td class='num shaded' data-sort='0.825' style='background:rgba(213,94,0,0.63)'>0.825</td><td class='num' data-sort='2.1'>2.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='6'><span class='medal'></span>6</td><td class='method' data-sort='MI'>MI</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1325.0'>1325<span class='sub'>+41 / βˆ’36</span></td><td class='num' data-sort='26.8'>26.8</td><td class='num shaded' data-sort='0.673' style='background:rgba(0,114,178,0.53)'>0.673</td><td class='num shaded' data-sort='0.863' style='background:rgba(213,94,0,0.66)'>0.863</td><td class='num' data-sort='0.4'>0.4</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='7'><span class='medal'></span>7</td><td class='method' data-sort='mRMR'>mRMR</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1311.0'>1311<span class='sub'>+50 / βˆ’48</span></td><td class='num' data-sort='25.0'>25.0</td><td class='num shaded' data-sort='0.578' style='background:rgba(0,114,178,0.47)'>0.578</td><td class='num shaded' data-sort='0.712' style='background:rgba(213,94,0,0.56)'>0.712</td><td class='num' data-sort='0.3'>0.3</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='8'><span class='medal'></span>8</td><td class='method' data-sort='SFS'>SFS</td><td class='' data-sort='Forward search'><span class='pill cat-search'>Forward search</span><span class='sub'>search</span></td><td class='num' data-sort='1294.0'>1294<span class='sub'>+51 / βˆ’50</span></td><td class='num' data-sort='21.3'>21.3</td><td class='num shaded' data-sort='0.278' style='background:rgba(0,114,178,0.27)'>0.278</td><td class='num shaded' data-sort='0.664' style='background:rgba(213,94,0,0.52)'>0.664</td><td class='num' data-sort='1770.9'>1,770.9</td><td class='num' data-sort='44.1'>44.1</td></tr><tr><td class='num' data-sort='9'><span class='medal'></span>9</td><td class='method' data-sort='GainRatio'>GainRatio</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1291.0'>1291<span class='sub'>+47 / βˆ’44</span></td><td class='num' data-sort='24.3'>24.3</td><td class='num shaded' data-sort='0.681' style='background:rgba(0,114,178,0.54)'>0.681</td><td class='num shaded' data-sort='0.915' style='background:rgba(213,94,0,0.69)'>0.915</td><td class='num' data-sort='0.1'>0.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='10'><span class='medal'></span>10</td><td class='method' data-sort='F-Test'>F-Test</td><td class='' data-sort='Correlation'><span class='pill cat-non-search'>Correlation</span><span class='sub'>non-search</span></td><td class='num' data-sort='1289.0'>1289<span class='sub'>+47 / βˆ’48</span></td><td class='num' data-sort='24.5'>24.5</td><td class='num shaded' data-sort='0.734' style='background:rgba(0,114,178,0.57)'>0.734</td><td class='num shaded' data-sort='0.932' style='background:rgba(213,94,0,0.70)'>0.932</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='11'><span class='medal'></span>11</td><td class='method' data-sort='(R)ReliefF'>(R)ReliefF</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='1275.0'>1275<span class='sub'>+49 / βˆ’50</span></td><td class='num' data-sort='21.9'>21.9</td><td class='num shaded' data-sort='0.647' style='background:rgba(0,114,178,0.51)'>0.647</td><td class='num shaded' data-sort='0.808' style='background:rgba(213,94,0,0.62)'>0.808</td><td class='num' data-sort='12.8'>12.8</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='12'><span class='medal'></span>12</td><td class='method' data-sort='SBE'>SBE</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1259.0'>1259<span class='sub'>+55 / βˆ’59</span></td><td class='num' data-sort='15.5'>15.5</td><td class='num shaded' data-sort='0.175' style='background:rgba(0,114,178,0.20)'>0.175</td><td class='num shaded' data-sort='0.578' style='background:rgba(213,94,0,0.47)'>0.578</td><td class='num' data-sort='3152.6'>3,152.6</td><td class='num' data-sort='48.8'>48.8</td></tr><tr><td class='num' data-sort='13'><span class='medal'></span>13</td><td class='method' data-sort='LOCO'>LOCO</td><td class='' data-sort='Leave-one-out'><span class='pill cat-search'>Leave-one-out</span><span class='sub'>search</span></td><td class='num' data-sort='1241.0'>1241<span class='sub'>+55 / βˆ’51</span></td><td class='num' data-sort='15.9'>15.9</td><td class='num shaded' data-sort='0.22' style='background:rgba(0,114,178,0.23)'>0.220</td><td class='num shaded' data-sort='0.613' style='background:rgba(213,94,0,0.49)'>0.613</td><td class='num' data-sort='239.5'>239.5</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='14'><span class='medal'></span>14</td><td class='method' data-sort='Random'>Random</td><td class='' data-sort='Baseline'><span class='pill cat-baseline'>Baseline</span></td><td class='num' data-sort='1000.0'>1000<span class='sub'>+44 / βˆ’53</span></td><td class='num' data-sort='0.0'>0.0</td><td class='num shaded' data-sort='0.001' style='background:rgba(0,114,178,0.08)'>0.001</td><td class='num shaded' data-sort='0.499' style='background:rgba(213,94,0,0.41)'>0.499</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='15'><span class='medal'></span>15</td><td class='method' data-sort='LaplacianScore'>LaplacianScore</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='995.0'>995<span class='sub'>+67 / βˆ’88</span></td><td class='num' data-sort='-29.1'>-29.1</td><td class='num shaded' data-sort='0.644' style='background:rgba(0,114,178,0.51)'>0.644</td><td class='num shaded' data-sort='0.85' style='background:rgba(213,94,0,0.65)'>0.850</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr></tbody></table></div><script type='text/plain' id='sa-csv'>Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Improvement over Random (%),Stability,Validity,Selection time (s),Fallback rate (%)
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44
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48
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- Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Avg. rank,Win rate (%),Improvability (%),Error vs. all features,Stability,Validity,Selection time (s),Fallback rate (%),#Datasets,#Comparisons
2
- 1,RFImportance,Non-search,Tree,1366.0,1314.0,1423.0,6.45,61.1,16.8,,0.653,0.741,0.2,0.0,71,213
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- 2,ElasticNet,Non-search,Regularization,1366.0,1320.0,1415.0,6.43,61.2,18.4,,0.519,0.873,6.3,0.0,71,213
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- 3,CART,Non-search,Tree,1355.0,1307.0,1404.0,6.79,58.6,19.1,,0.456,0.638,0.0,0.0,71,213
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- 4,MarkovBlanket,Search,Backward search,1340.0,1300.0,1387.0,7.03,56.9,20.8,,0.396,0.467,0.1,0.0,71,213
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- 5,Lasso,Non-search,Regularization,1338.0,1288.0,1386.0,6.73,59.1,18.4,,0.422,0.825,2.1,0.0,71,213
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- 6,MI,Non-search,Information theory,1325.0,1289.0,1366.0,7.01,57.1,19.5,,0.673,0.863,0.4,0.0,71,213
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- 7,mRMR,Non-search,Information theory,1311.0,1263.0,1361.0,7.63,52.6,21.1,,0.578,0.712,0.3,0.0,71,213
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- 8,SFS,Search,Forward search,1294.0,1244.0,1345.0,7.71,52.1,22.7,,0.278,0.664,1770.9,44.1,71,213
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- 9,GainRatio,Non-search,Information theory,1291.0,1247.0,1338.0,7.77,51.7,22.6,,0.681,0.915,0.1,0.0,71,213
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- 10,F-Test,Non-search,Correlation,1289.0,1241.0,1336.0,7.73,51.9,22.0,,0.734,0.932,0.0,0.0,71,213
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- 11,(R)ReliefF,Non-search,Distance,1275.0,1225.0,1324.0,8.04,49.7,22.5,,0.647,0.808,12.8,0.0,71,213
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- 12,SBE,Search,Backward search,1259.0,1200.0,1314.0,8.01,50.0,25.5,,0.175,0.578,3152.6,48.8,71,213
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- 13,LOCO,Search,Leave-one-out,1241.0,1190.0,1296.0,8.54,46.1,25.5,,0.22,0.613,239.5,0.0,71,213
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- 14,Random,Baseline,Baseline,1000.0,947.0,1044.0,11.82,22.7,38.0,,0.001,0.499,0.0,0.0,71,213
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+ 5,Lasso,Non-search,Regularization,1338.0,1288.0,1386.0,6.73,59.1,18.4,25.4,,0.422,0.825,2.1,0.0,71,213
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11
+ 10,F-Test,Non-search,Correlation,1289.0,1241.0,1336.0,7.73,51.9,22.0,24.5,,0.734,0.932,0.0,0.0,71,213
12
+ 11,(R)ReliefF,Non-search,Distance,1275.0,1225.0,1324.0,8.04,49.7,22.5,21.9,,0.647,0.808,12.8,0.0,71,213
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35
- </style></head><body><div class='toolbar'><span class='hint'>Click a column to sort. Hover a header for its definition. Stability and validity are shaded as in the Elo figure: darker is better.</span><button onclick="saCsv('selectarena_leaderboard.csv')">CSV</button></div><div class='wrap'><table id='sa-table'><thead><tr><th class='num' title='Rank by Elo.'>#</th><th class=''>Method</th><th class='' title='Taxonomy of the paper (Appendix A). Search methods evaluate many feature subsets with the model (forward, backward, leave-one-out); non-search methods use a proxy instead (correlation, distance, information theory, tree, regularization).'>Type</th><th class='num' title='Bradley-Terry Elo from pairwise matches within each dataset, budget and downstream model. Random = 1000. +/βˆ’ give the 95% bootstrap interval.'>Elo ↑</th><th class='num' title='Mean rank of the downstream error.'>Avg. rank ↓</th><th class='num' title='Mean relative gap (error βˆ’ best error) / error to the best method, in %.'>Improvability ↓</th><th class='num' title='Agreement of the selected features across bootstrap resamples (Nogueira et al., 2018).'>Stability ↑</th><th class='num' title='Share of the budget filled with original features when as many noise features are added.'>Validity ↑</th><th class='num' title='Median wall-clock time of the selection.'>Time (s) ↓</th><th class='num' title='Share of runs where the method ran out of time and random features filled the budget.'>Fallback (%)</th></tr></thead><tbody><tr><td class='num' data-sort='1'><span class='medal' role='img' aria-label='gold medal'>πŸ₯‡</span>1</td><td class='method' data-sort='RFImportance'>RFImportance</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1321.0'>1321<span class='sub'>+59 / βˆ’50</span></td><td class='num' data-sort='6.15'>6.15</td><td class='num' data-sort='12.2'>12.2</td><td class='num shaded' data-sort='0.676' style='background:rgba(0,114,178,0.53)'>0.676</td><td class='num shaded' data-sort='0.691' style='background:rgba(213,94,0,0.54)'>0.691</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='2'><span class='medal' role='img' aria-label='silver medal'>πŸ₯ˆ</span>2</td><td class='method' data-sort='CART'>CART</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1283.0'>1283<span class='sub'>+48 / βˆ’47</span></td><td class='num' data-sort='6.72'>6.72</td><td class='num' data-sort='16.5'>16.5</td><td class='num shaded' data-sort='0.444' style='background:rgba(0,114,178,0.38)'>0.444</td><td class='num shaded' data-sort='0.572' style='background:rgba(213,94,0,0.46)'>0.572</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='3'><span class='medal' role='img' aria-label='bronze medal'>πŸ₯‰</span>3</td><td class='method' data-sort='MI'>MI</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1282.0'>1282<span class='sub'>+49 / βˆ’50</span></td><td class='num' data-sort='6.86'>6.86</td><td class='num' data-sort='15.7'>15.7</td><td class='num shaded' data-sort='0.683' style='background:rgba(0,114,178,0.54)'>0.683</td><td class='num shaded' data-sort='0.815' style='background:rgba(213,94,0,0.63)'>0.815</td><td class='num' data-sort='0.4'>0.4</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='4'><span class='medal'></span>4</td><td class='method' data-sort='Lasso'>Lasso</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1268.0'>1268<span class='sub'>+51 / βˆ’51</span></td><td class='num' data-sort='6.95'>6.95</td><td class='num' data-sort='15.4'>15.4</td><td class='num shaded' data-sort='0.389' style='background:rgba(0,114,178,0.34)'>0.389</td><td class='num shaded' data-sort='0.73' style='background:rgba(213,94,0,0.57)'>0.730</td><td class='num' data-sort='1.8'>1.8</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='5'><span class='medal'></span>5</td><td class='method' data-sort='ElasticNet'>ElasticNet</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1252.0'>1252<span class='sub'>+49 / βˆ’49</span></td><td class='num' data-sort='7.01'>7.01</td><td class='num' data-sort='16.3'>16.3</td><td class='num shaded' data-sort='0.481' style='background:rgba(0,114,178,0.40)'>0.481</td><td class='num shaded' data-sort='0.777' style='background:rgba(213,94,0,0.60)'>0.777</td><td class='num' data-sort='6.3'>6.3</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='6'><span class='medal'></span>6</td><td class='method' data-sort='MarkovBlanket'>MarkovBlanket</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1248.0'>1248<span class='sub'>+38 / βˆ’38</span></td><td class='num' data-sort='7.3'>7.30</td><td class='num' data-sort='17.8'>17.8</td><td class='num shaded' data-sort='0.413' style='background:rgba(0,114,178,0.36)'>0.413</td><td class='num shaded' data-sort='0.447' style='background:rgba(213,94,0,0.38)'>0.447</td><td class='num' data-sort='0.1'>0.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='7'><span class='medal'></span>7</td><td class='method' data-sort='SBE'>SBE</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1224.0'>1224<span class='sub'>+58 / βˆ’53</span></td><td class='num' data-sort='7.76'>7.76</td><td class='num' data-sort='21.9'>21.9</td><td class='num shaded' data-sort='0.144' style='background:rgba(0,114,178,0.18)'>0.144</td><td class='num shaded' data-sort='0.556' style='background:rgba(213,94,0,0.45)'>0.556</td><td class='num' data-sort='2887.2'>2,887.2</td><td class='num' data-sort='47.4'>47.4</td></tr><tr><td class='num' data-sort='8'><span class='medal'></span>8</td><td class='method' data-sort='F-Test'>F-Test</td><td class='' data-sort='Correlation'><span class='pill cat-non-search'>Correlation</span><span class='sub'>non-search</span></td><td class='num' data-sort='1212.0'>1212<span class='sub'>+47 / βˆ’45</span></td><td class='num' data-sort='7.66'>7.66</td><td class='num' data-sort='18.3'>18.3</td><td class='num shaded' data-sort='0.706' style='background:rgba(0,114,178,0.55)'>0.706</td><td class='num shaded' data-sort='0.879' style='background:rgba(213,94,0,0.67)'>0.879</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='9'><span class='medal'></span>9</td><td class='method' data-sort='GainRatio'>GainRatio</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1205.0'>1205<span class='sub'>+47 / βˆ’45</span></td><td class='num' data-sort='8.25'>8.25</td><td class='num' data-sort='19.7'>19.7</td><td class='num shaded' data-sort='0.67' style='background:rgba(0,114,178,0.53)'>0.670</td><td class='num shaded' data-sort='0.856' style='background:rgba(213,94,0,0.65)'>0.856</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='10'><span class='medal'></span>10</td><td class='method' data-sort='(R)ReliefF'>(R)ReliefF</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='1199.0'>1199<span class='sub'>+44 / βˆ’47</span></td><td class='num' data-sort='7.77'>7.77</td><td class='num' data-sort='17.9'>17.9</td><td class='num shaded' data-sort='0.673' style='background:rgba(0,114,178,0.53)'>0.673</td><td class='num shaded' data-sort='0.757' style='background:rgba(213,94,0,0.59)'>0.757</td><td class='num' data-sort='12.9'>12.9</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='11'><span class='medal'></span>11</td><td class='method' data-sort='mRMR'>mRMR</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1197.0'>1197<span class='sub'>+43 / βˆ’44</span></td><td class='num' data-sort='8.29'>8.29</td><td class='num' data-sort='19.2'>19.2</td><td class='num shaded' data-sort='0.614' style='background:rgba(0,114,178,0.49)'>0.614</td><td class='num shaded' data-sort='0.66' style='background:rgba(213,94,0,0.52)'>0.660</td><td class='num' data-sort='0.4'>0.4</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='12'><span class='medal'></span>12</td><td class='method' data-sort='SFS'>SFS</td><td class='' data-sort='Forward search'><span class='pill cat-search'>Forward search</span><span class='sub'>search</span></td><td class='num' data-sort='1193.0'>1193<span class='sub'>+51 / βˆ’52</span></td><td class='num' data-sort='8.11'>8.11</td><td class='num' data-sort='20.8'>20.8</td><td class='num shaded' data-sort='0.239' style='background:rgba(0,114,178,0.24)'>0.239</td><td class='num shaded' data-sort='0.627' style='background:rgba(213,94,0,0.50)'>0.627</td><td class='num' data-sort='2274.8'>2,274.8</td><td class='num' data-sort='48.8'>48.8</td></tr><tr><td class='num' data-sort='13'><span class='medal'></span>13</td><td class='method' data-sort='LOCO'>LOCO</td><td class='' data-sort='Leave-one-out'><span class='pill cat-search'>Leave-one-out</span><span class='sub'>search</span></td><td class='num' data-sort='1175.0'>1175<span class='sub'>+55 / βˆ’56</span></td><td class='num' data-sort='8.2'>8.20</td><td class='num' data-sort='22.8'>22.8</td><td class='num shaded' data-sort='0.151' style='background:rgba(0,114,178,0.18)'>0.151</td><td class='num shaded' data-sort='0.575' style='background:rgba(213,94,0,0.47)'>0.575</td><td class='num' data-sort='251.9'>251.9</td><td class='num' data-sort='6.6'>6.6</td></tr><tr><td class='num' data-sort='14'><span class='medal'></span>14</td><td class='method' data-sort='Random'>Random</td><td class='' data-sort='Baseline'><span class='pill cat-baseline'>Baseline</span></td><td class='num' data-sort='1000.0'>1000<span class='sub'>+46 / βˆ’52</span></td><td class='num' data-sort='10.87'>10.87</td><td class='num' data-sort='32.0'>32.0</td><td class='num shaded' data-sort='-0.001' style='background:rgba(0,114,178,0.08)'>-0.001</td><td class='num shaded' data-sort='0.513' style='background:rgba(213,94,0,0.42)'>0.513</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='15'><span class='medal'></span>15</td><td class='method' data-sort='LaplacianScore'>LaplacianScore</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='939.0'>939<span class='sub'>+74 / βˆ’91</span></td><td class='num' data-sort='12.1'>12.10</td><td class='num' data-sort='37.6'>37.6</td><td class='num shaded' data-sort='0.66' style='background:rgba(0,114,178,0.52)'>0.660</td><td class='num shaded' data-sort='0.827' style='background:rgba(213,94,0,0.63)'>0.827</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr></tbody></table></div><script type='text/plain' id='sa-csv'>Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Avg. rank,Win rate (%),Improvability (%),Error vs. all features,Stability,Validity,Selection time (s),Fallback rate (%),#Datasets,#Comparisons
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- 1,RFImportance,Non-search,Tree,1321.0,1271.0,1380.0,6.15,63.2,12.2,,0.676,0.691,0.2,0.0,71,213
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- 2,CART,Non-search,Tree,1283.0,1236.0,1331.0,6.72,59.1,16.5,,0.444,0.572,0.0,0.0,71,213
38
- 3,MI,Non-search,Information theory,1282.0,1232.0,1331.0,6.86,58.2,15.7,,0.683,0.815,0.4,0.0,71,213
39
- 4,Lasso,Non-search,Regularization,1268.0,1217.0,1319.0,6.95,57.5,15.4,,0.389,0.73,1.8,0.0,71,213
40
- 5,ElasticNet,Non-search,Regularization,1252.0,1203.0,1301.0,7.01,57.1,16.3,,0.481,0.777,6.3,0.0,71,213
41
- 6,MarkovBlanket,Search,Backward search,1248.0,1210.0,1286.0,7.3,55.0,17.8,,0.413,0.447,0.1,0.0,71,213
42
- 7,SBE,Search,Backward search,1224.0,1171.0,1282.0,7.76,51.7,21.9,,0.144,0.556,2887.2,47.4,71,213
43
- 8,F-Test,Non-search,Correlation,1212.0,1167.0,1259.0,7.66,52.4,18.3,,0.706,0.879,0.0,0.0,71,213
44
- 9,GainRatio,Non-search,Information theory,1205.0,1160.0,1252.0,8.25,48.2,19.7,,0.67,0.856,0.2,0.0,71,213
45
- 10,(R)ReliefF,Non-search,Distance,1199.0,1152.0,1243.0,7.77,51.7,17.9,,0.673,0.757,12.9,0.0,71,213
46
- 11,mRMR,Non-search,Information theory,1197.0,1153.0,1240.0,8.29,47.9,19.2,,0.614,0.66,0.4,0.0,71,213
47
- 12,SFS,Search,Forward search,1193.0,1141.0,1244.0,8.11,49.2,20.8,,0.239,0.627,2274.8,48.8,71,213
48
- 13,LOCO,Search,Leave-one-out,1175.0,1119.0,1230.0,8.2,48.6,22.8,,0.151,0.575,251.9,6.6,71,213
49
- 14,Random,Baseline,Baseline,1000.0,948.0,1046.0,10.87,29.5,32.0,,-0.001,0.513,0.0,0.0,71,213
50
- 15,LaplacianScore,Non-search,Distance,939.0,848.0,1013.0,12.1,20.7,37.6,,0.66,0.827,0.2,0.0,71,213
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+ </style></head><body><div class='toolbar'><span class='hint'>Click a column to sort. Hover a header for its definition. Stability and validity are shaded as in the Elo figure: darker is better.</span><button onclick="saCsv('selectarena_leaderboard.csv')">CSV</button></div><div class='wrap'><table id='sa-table'><thead><tr><th class='num' title='Rank by Elo.'>#</th><th class=''>Method</th><th class='' title='Taxonomy of the paper (Appendix A). Search methods evaluate many feature subsets with the model (forward, backward, leave-one-out); non-search methods use a proxy instead (correlation, distance, information theory, tree, regularization).'>Type</th><th class='num' title='Bradley-Terry Elo from pairwise matches within each dataset, budget and downstream model. Random = 1000. +/βˆ’ give the 95% bootstrap interval.'>Elo ↑</th><th class='num' title='Mean reduction of the downstream error compared with random selection on the same dataset, in % (as in the Pareto figure; Random is 0).'>Improvement over Random ↑</th><th class='num' title='Agreement of the selected features across bootstrap resamples (Nogueira et al., 2018).'>Stability ↑</th><th class='num' title='Share of the budget filled with original features when as many noise features are added.'>Validity ↑</th><th class='num' title='Median wall-clock time of the selection.'>Time (s) ↓</th><th class='num' title='Share of runs where the method ran out of time and random features filled the budget.'>Fallback (%)</th></tr></thead><tbody><tr><td class='num' data-sort='1'><span class='medal' role='img' aria-label='gold medal'>πŸ₯‡</span>1</td><td class='method' data-sort='RFImportance'>RFImportance</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1321.0'>1321<span class='sub'>+59 / βˆ’50</span></td><td class='num' data-sort='22.8'>22.8</td><td class='num shaded' data-sort='0.676' style='background:rgba(0,114,178,0.53)'>0.676</td><td class='num shaded' data-sort='0.691' style='background:rgba(213,94,0,0.54)'>0.691</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='2'><span class='medal' role='img' aria-label='silver medal'>πŸ₯ˆ</span>2</td><td class='method' data-sort='CART'>CART</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1283.0'>1283<span class='sub'>+48 / βˆ’47</span></td><td class='num' data-sort='19.8'>19.8</td><td class='num shaded' data-sort='0.444' style='background:rgba(0,114,178,0.38)'>0.444</td><td class='num shaded' data-sort='0.572' style='background:rgba(213,94,0,0.46)'>0.572</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='3'><span class='medal' role='img' aria-label='bronze medal'>πŸ₯‰</span>3</td><td class='method' data-sort='MI'>MI</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1282.0'>1282<span class='sub'>+49 / βˆ’50</span></td><td class='num' data-sort='19.5'>19.5</td><td class='num shaded' data-sort='0.683' style='background:rgba(0,114,178,0.54)'>0.683</td><td class='num shaded' data-sort='0.815' style='background:rgba(213,94,0,0.63)'>0.815</td><td class='num' data-sort='0.4'>0.4</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='4'><span class='medal'></span>4</td><td class='method' data-sort='Lasso'>Lasso</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1268.0'>1268<span class='sub'>+51 / βˆ’51</span></td><td class='num' data-sort='18.7'>18.7</td><td class='num shaded' data-sort='0.389' style='background:rgba(0,114,178,0.34)'>0.389</td><td class='num shaded' data-sort='0.73' style='background:rgba(213,94,0,0.57)'>0.730</td><td class='num' data-sort='1.8'>1.8</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='5'><span class='medal'></span>5</td><td class='method' data-sort='ElasticNet'>ElasticNet</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1252.0'>1252<span class='sub'>+49 / βˆ’49</span></td><td class='num' data-sort='19.0'>19.0</td><td class='num shaded' data-sort='0.481' style='background:rgba(0,114,178,0.40)'>0.481</td><td class='num shaded' data-sort='0.777' style='background:rgba(213,94,0,0.60)'>0.777</td><td class='num' data-sort='6.3'>6.3</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='6'><span class='medal'></span>6</td><td class='method' data-sort='MarkovBlanket'>MarkovBlanket</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1248.0'>1248<span class='sub'>+38 / βˆ’38</span></td><td class='num' data-sort='17.8'>17.8</td><td class='num shaded' data-sort='0.413' style='background:rgba(0,114,178,0.36)'>0.413</td><td class='num shaded' data-sort='0.447' style='background:rgba(213,94,0,0.38)'>0.447</td><td class='num' data-sort='0.1'>0.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='7'><span class='medal'></span>7</td><td class='method' data-sort='SBE'>SBE</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1224.0'>1224<span class='sub'>+58 / βˆ’53</span></td><td class='num' data-sort='11.4'>11.4</td><td class='num shaded' data-sort='0.144' style='background:rgba(0,114,178,0.18)'>0.144</td><td class='num shaded' data-sort='0.556' style='background:rgba(213,94,0,0.45)'>0.556</td><td class='num' data-sort='2887.2'>2,887.2</td><td class='num' data-sort='47.4'>47.4</td></tr><tr><td class='num' data-sort='8'><span class='medal'></span>8</td><td class='method' data-sort='F-Test'>F-Test</td><td class='' data-sort='Correlation'><span class='pill cat-non-search'>Correlation</span><span class='sub'>non-search</span></td><td class='num' data-sort='1212.0'>1212<span class='sub'>+47 / βˆ’45</span></td><td class='num' data-sort='16.6'>16.6</td><td class='num shaded' data-sort='0.706' style='background:rgba(0,114,178,0.55)'>0.706</td><td class='num shaded' data-sort='0.879' style='background:rgba(213,94,0,0.67)'>0.879</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='9'><span class='medal'></span>9</td><td class='method' data-sort='GainRatio'>GainRatio</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1205.0'>1205<span class='sub'>+47 / βˆ’45</span></td><td class='num' data-sort='16.5'>16.5</td><td class='num shaded' data-sort='0.67' style='background:rgba(0,114,178,0.53)'>0.670</td><td class='num shaded' data-sort='0.856' style='background:rgba(213,94,0,0.65)'>0.856</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='10'><span class='medal'></span>10</td><td class='method' data-sort='(R)ReliefF'>(R)ReliefF</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='1199.0'>1199<span class='sub'>+44 / βˆ’47</span></td><td class='num' data-sort='16.3'>16.3</td><td class='num shaded' data-sort='0.673' style='background:rgba(0,114,178,0.53)'>0.673</td><td class='num shaded' data-sort='0.757' style='background:rgba(213,94,0,0.59)'>0.757</td><td class='num' data-sort='12.9'>12.9</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='11'><span class='medal'></span>11</td><td class='method' data-sort='mRMR'>mRMR</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1197.0'>1197<span class='sub'>+43 / βˆ’44</span></td><td class='num' data-sort='16.6'>16.6</td><td class='num shaded' data-sort='0.614' style='background:rgba(0,114,178,0.49)'>0.614</td><td class='num shaded' data-sort='0.66' style='background:rgba(213,94,0,0.52)'>0.660</td><td class='num' data-sort='0.4'>0.4</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='12'><span class='medal'></span>12</td><td class='method' data-sort='SFS'>SFS</td><td class='' data-sort='Forward search'><span class='pill cat-search'>Forward search</span><span class='sub'>search</span></td><td class='num' data-sort='1193.0'>1193<span class='sub'>+51 / βˆ’52</span></td><td class='num' data-sort='13.1'>13.1</td><td class='num shaded' data-sort='0.239' style='background:rgba(0,114,178,0.24)'>0.239</td><td class='num shaded' data-sort='0.627' style='background:rgba(213,94,0,0.50)'>0.627</td><td class='num' data-sort='2274.8'>2,274.8</td><td class='num' data-sort='48.8'>48.8</td></tr><tr><td class='num' data-sort='13'><span class='medal'></span>13</td><td class='method' data-sort='LOCO'>LOCO</td><td class='' data-sort='Leave-one-out'><span class='pill cat-search'>Leave-one-out</span><span class='sub'>search</span></td><td class='num' data-sort='1175.0'>1175<span class='sub'>+55 / βˆ’56</span></td><td class='num' data-sort='9.1'>9.1</td><td class='num shaded' data-sort='0.151' style='background:rgba(0,114,178,0.18)'>0.151</td><td class='num shaded' data-sort='0.575' style='background:rgba(213,94,0,0.47)'>0.575</td><td class='num' data-sort='251.9'>251.9</td><td class='num' data-sort='6.6'>6.6</td></tr><tr><td class='num' data-sort='14'><span class='medal'></span>14</td><td class='method' data-sort='Random'>Random</td><td class='' data-sort='Baseline'><span class='pill cat-baseline'>Baseline</span></td><td class='num' data-sort='1000.0'>1000<span class='sub'>+46 / βˆ’52</span></td><td class='num' data-sort='0.0'>0.0</td><td class='num shaded' data-sort='-0.001' style='background:rgba(0,114,178,0.08)'>-0.001</td><td class='num shaded' data-sort='0.513' style='background:rgba(213,94,0,0.42)'>0.513</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='15'><span class='medal'></span>15</td><td class='method' data-sort='LaplacianScore'>LaplacianScore</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='939.0'>939<span class='sub'>+74 / βˆ’91</span></td><td class='num' data-sort='-65.9'>-65.9</td><td class='num shaded' data-sort='0.66' style='background:rgba(0,114,178,0.52)'>0.660</td><td class='num shaded' data-sort='0.827' style='background:rgba(213,94,0,0.63)'>0.827</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr></tbody></table></div><script type='text/plain' id='sa-csv'>Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Improvement over Random (%),Stability,Validity,Selection time (s),Fallback rate (%)
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42
+ 7,SBE,Search,Backward search,1224.0,1171.0,1282.0,11.4,0.144,0.556,2887.2,47.4
43
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44
+ 9,GainRatio,Non-search,Information theory,1205.0,1160.0,1252.0,16.5,0.67,0.856,0.2,0.0
45
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48
+ 13,LOCO,Search,Leave-one-out,1175.0,1119.0,1230.0,9.1,0.151,0.575,251.9,6.6
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- Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Avg. rank,Win rate (%),Improvability (%),Error vs. all features,Stability,Validity,Selection time (s),Fallback rate (%),#Datasets,#Comparisons
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- 1,RFImportance,Non-search,Tree,1321.0,1271.0,1380.0,6.15,63.2,12.2,,0.676,0.691,0.2,0.0,71,213
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- 2,CART,Non-search,Tree,1283.0,1236.0,1331.0,6.72,59.1,16.5,,0.444,0.572,0.0,0.0,71,213
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- 3,MI,Non-search,Information theory,1282.0,1232.0,1331.0,6.86,58.2,15.7,,0.683,0.815,0.4,0.0,71,213
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- 4,Lasso,Non-search,Regularization,1268.0,1217.0,1319.0,6.95,57.5,15.4,,0.389,0.73,1.8,0.0,71,213
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- 5,ElasticNet,Non-search,Regularization,1252.0,1203.0,1301.0,7.01,57.1,16.3,,0.481,0.777,6.3,0.0,71,213
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- 6,MarkovBlanket,Search,Backward search,1248.0,1210.0,1286.0,7.3,55.0,17.8,,0.413,0.447,0.1,0.0,71,213
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- 7,SBE,Search,Backward search,1224.0,1171.0,1282.0,7.76,51.7,21.9,,0.144,0.556,2887.2,47.4,71,213
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- 8,F-Test,Non-search,Correlation,1212.0,1167.0,1259.0,7.66,52.4,18.3,,0.706,0.879,0.0,0.0,71,213
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- 9,GainRatio,Non-search,Information theory,1205.0,1160.0,1252.0,8.25,48.2,19.7,,0.67,0.856,0.2,0.0,71,213
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- 10,(R)ReliefF,Non-search,Distance,1199.0,1152.0,1243.0,7.77,51.7,17.9,,0.673,0.757,12.9,0.0,71,213
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- 11,mRMR,Non-search,Information theory,1197.0,1153.0,1240.0,8.29,47.9,19.2,,0.614,0.66,0.4,0.0,71,213
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- 12,SFS,Search,Forward search,1193.0,1141.0,1244.0,8.11,49.2,20.8,,0.239,0.627,2274.8,48.8,71,213
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- 13,LOCO,Search,Leave-one-out,1175.0,1119.0,1230.0,8.2,48.6,22.8,,0.151,0.575,251.9,6.6,71,213
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- 15,LaplacianScore,Non-search,Distance,939.0,848.0,1013.0,12.1,20.7,37.6,,0.66,0.827,0.2,0.0,71,213
 
1
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+ 4,Lasso,Non-search,Regularization,1268.0,1217.0,1319.0,6.95,57.5,15.4,18.7,,0.389,0.73,1.8,0.0,71,213
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+ 7,SBE,Search,Backward search,1224.0,1171.0,1282.0,7.76,51.7,21.9,11.4,,0.144,0.556,2887.2,47.4,71,213
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11
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12
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16
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32
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35
- </style></head><body><div class='toolbar'><span class='hint'>Click a column to sort. Hover a header for its definition. Stability and validity are shaded as in the Elo figure: darker is better.</span><button onclick="saCsv('selectarena_leaderboard.csv')">CSV</button></div><div class='wrap'><table id='sa-table'><thead><tr><th class='num' title='Rank by Elo.'>#</th><th class=''>Method</th><th class='' title='Taxonomy of the paper (Appendix A). Search methods evaluate many feature subsets with the model (forward, backward, leave-one-out); non-search methods use a proxy instead (correlation, distance, information theory, tree, regularization).'>Type</th><th class='num' title='Bradley-Terry Elo from pairwise matches within each dataset, budget and downstream model. Random = 1000. +/βˆ’ give the 95% bootstrap interval.'>Elo ↑</th><th class='num' title='Mean rank of the downstream error.'>Avg. rank ↓</th><th class='num' title='Mean relative gap (error βˆ’ best error) / error to the best method, in %.'>Improvability ↓</th><th class='num' title='Agreement of the selected features across bootstrap resamples (Nogueira et al., 2018).'>Stability ↑</th><th class='num' title='Share of the budget filled with original features when as many noise features are added.'>Validity ↑</th><th class='num' title='Median wall-clock time of the selection.'>Time (s) ↓</th><th class='num' title='Share of runs where the method ran out of time and random features filled the budget.'>Fallback (%)</th></tr></thead><tbody><tr><td class='num' data-sort='1'><span class='medal' role='img' aria-label='gold medal'>πŸ₯‡</span>1</td><td class='method' data-sort='RFImportance'>RFImportance</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1273.0'>1273<span class='sub'>+58 / βˆ’49</span></td><td class='num' data-sort='5.82'>5.82</td><td class='num' data-sort='11.0'>11.0</td><td class='num shaded' data-sort='0.661' style='background:rgba(0,114,178,0.52)'>0.661</td><td class='num shaded' data-sort='0.6' style='background:rgba(213,94,0,0.48)'>0.600</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='2'><span class='medal' role='img' aria-label='silver medal'>πŸ₯ˆ</span>2</td><td class='method' data-sort='CART'>CART</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1210.0'>1210<span class='sub'>+48 / βˆ’41</span></td><td class='num' data-sort='6.66'>6.66</td><td class='num' data-sort='14.0'>14.0</td><td class='num shaded' data-sort='0.402' style='background:rgba(0,114,178,0.35)'>0.402</td><td class='num shaded' data-sort='0.507' style='background:rgba(213,94,0,0.42)'>0.507</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='3'><span class='medal' role='img' aria-label='bronze medal'>πŸ₯‰</span>3</td><td class='method' data-sort='Lasso'>Lasso</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1207.0'>1207<span class='sub'>+46 / βˆ’47</span></td><td class='num' data-sort='6.9'>6.90</td><td class='num' data-sort='13.4'>13.4</td><td class='num shaded' data-sort='0.334' style='background:rgba(0,114,178,0.30)'>0.334</td><td class='num shaded' data-sort='0.643' style='background:rgba(213,94,0,0.51)'>0.643</td><td class='num' data-sort='1.9'>1.9</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='4'><span class='medal'></span>4</td><td class='method' data-sort='ElasticNet'>ElasticNet</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1207.0'>1207<span class='sub'>+54 / βˆ’53</span></td><td class='num' data-sort='6.79'>6.79</td><td class='num' data-sort='14.1'>14.1</td><td class='num shaded' data-sort='0.419' style='background:rgba(0,114,178,0.36)'>0.419</td><td class='num shaded' data-sort='0.665' style='background:rgba(213,94,0,0.53)'>0.665</td><td class='num' data-sort='6.1'>6.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='5'><span class='medal'></span>5</td><td class='method' data-sort='MI'>MI</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1197.0'>1197<span class='sub'>+48 / βˆ’49</span></td><td class='num' data-sort='7.19'>7.19</td><td class='num' data-sort='14.4'>14.4</td><td class='num shaded' data-sort='0.649' style='background:rgba(0,114,178,0.51)'>0.649</td><td class='num shaded' data-sort='0.723' style='background:rgba(213,94,0,0.56)'>0.723</td><td class='num' data-sort='0.4'>0.4</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='6'><span class='medal'></span>6</td><td class='method' data-sort='F-Test'>F-Test</td><td class='' data-sort='Correlation'><span class='pill cat-non-search'>Correlation</span><span class='sub'>non-search</span></td><td class='num' data-sort='1183.0'>1183<span class='sub'>+44 / βˆ’48</span></td><td class='num' data-sort='7.42'>7.42</td><td class='num' data-sort='13.5'>13.5</td><td class='num shaded' data-sort='0.668' style='background:rgba(0,114,178,0.53)'>0.668</td><td class='num shaded' data-sort='0.781' style='background:rgba(213,94,0,0.60)'>0.781</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='7'><span class='medal'></span>7</td><td class='method' data-sort='mRMR'>mRMR</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1153.0'>1153<span class='sub'>+43 / βˆ’43</span></td><td class='num' data-sort='8.12'>8.12</td><td class='num' data-sort='15.4'>15.4</td><td class='num shaded' data-sort='0.656' style='background:rgba(0,114,178,0.52)'>0.656</td><td class='num shaded' data-sort='0.593' style='background:rgba(213,94,0,0.48)'>0.593</td><td class='num' data-sort='0.5'>0.5</td><td class='num' data-sort='7.0'>7.0</td></tr><tr><td class='num' data-sort='8'><span class='medal'></span>8</td><td class='method' data-sort='(R)ReliefF'>(R)ReliefF</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='1145.0'>1145<span class='sub'>+52 / βˆ’50</span></td><td class='num' data-sort='7.9'>7.90</td><td class='num' data-sort='14.4'>14.4</td><td class='num shaded' data-sort='0.656' style='background:rgba(0,114,178,0.52)'>0.656</td><td class='num shaded' data-sort='0.667' style='background:rgba(213,94,0,0.53)'>0.667</td><td class='num' data-sort='13.1'>13.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='9'><span class='medal'></span>9</td><td class='method' data-sort='MarkovBlanket'>MarkovBlanket</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1128.0'>1128<span class='sub'>+43 / βˆ’43</span></td><td class='num' data-sort='8.14'>8.14</td><td class='num' data-sort='16.5'>16.5</td><td class='num shaded' data-sort='0.434' style='background:rgba(0,114,178,0.37)'>0.434</td><td class='num shaded' data-sort='0.473' style='background:rgba(213,94,0,0.40)'>0.473</td><td class='num' data-sort='0.1'>0.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='10'><span class='medal'></span>10</td><td class='method' data-sort='SBE'>SBE</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1122.0'>1122<span class='sub'>+57 / βˆ’58</span></td><td class='num' data-sort='7.98'>7.98</td><td class='num' data-sort='18.4'>18.4</td><td class='num shaded' data-sort='0.095' style='background:rgba(0,114,178,0.14)'>0.095</td><td class='num shaded' data-sort='0.53' style='background:rgba(213,94,0,0.44)'>0.530</td><td class='num' data-sort='1923.4'>1,923.4</td><td class='num' data-sort='44.6'>44.6</td></tr><tr><td class='num' data-sort='11'><span class='medal'></span>11</td><td class='method' data-sort='LOCO'>LOCO</td><td class='' data-sort='Leave-one-out'><span class='pill cat-search'>Leave-one-out</span><span class='sub'>search</span></td><td class='num' data-sort='1118.0'>1118<span class='sub'>+53 / βˆ’53</span></td><td class='num' data-sort='8.21'>8.21</td><td class='num' data-sort='19.1'>19.1</td><td class='num shaded' data-sort='0.114' style='background:rgba(0,114,178,0.16)'>0.114</td><td class='num shaded' data-sort='0.544' style='background:rgba(213,94,0,0.44)'>0.544</td><td class='num' data-sort='236.6'>236.6</td><td class='num' data-sort='11.3'>11.3</td></tr><tr><td class='num' data-sort='12'><span class='medal'></span>12</td><td class='method' data-sort='GainRatio'>GainRatio</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1115.0'>1115<span class='sub'>+46 / βˆ’44</span></td><td class='num' data-sort='8.49'>8.49</td><td class='num' data-sort='16.2'>16.2</td><td class='num shaded' data-sort='0.641' style='background:rgba(0,114,178,0.51)'>0.641</td><td class='num shaded' data-sort='0.751' style='background:rgba(213,94,0,0.58)'>0.751</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='13'><span class='medal'></span>13</td><td class='method' data-sort='SFS'>SFS</td><td class='' data-sort='Forward search'><span class='pill cat-search'>Forward search</span><span class='sub'>search</span></td><td class='num' data-sort='1098.0'>1098<span class='sub'>+50 / βˆ’48</span></td><td class='num' data-sort='8.54'>8.54</td><td class='num' data-sort='19.2'>19.2</td><td class='num shaded' data-sort='0.225' style='background:rgba(0,114,178,0.23)'>0.225</td><td class='num shaded' data-sort='0.568' style='background:rgba(213,94,0,0.46)'>0.568</td><td class='num' data-sort='2771.3'>2,771.3</td><td class='num' data-sort='48.4'>48.4</td></tr><tr><td class='num' data-sort='14'><span class='medal'></span>14</td><td class='method' data-sort='Random'>Random</td><td class='' data-sort='Baseline'><span class='pill cat-baseline'>Baseline</span></td><td class='num' data-sort='1000.0'>1000<span class='sub'>+50 / βˆ’57</span></td><td class='num' data-sort='9.97'>9.97</td><td class='num' data-sort='24.9'>24.9</td><td class='num shaded' data-sort='0.002' style='background:rgba(0,114,178,0.08)'>0.002</td><td class='num shaded' data-sort='0.494' style='background:rgba(213,94,0,0.41)'>0.494</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='15'><span class='medal'></span>15</td><td class='method' data-sort='LaplacianScore'>LaplacianScore</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='878.0'>878<span class='sub'>+72 / βˆ’82</span></td><td class='num' data-sort='11.86'>11.86</td><td class='num' data-sort='31.8'>31.8</td><td class='num shaded' data-sort='0.689' style='background:rgba(0,114,178,0.54)'>0.689</td><td class='num shaded' data-sort='0.758' style='background:rgba(213,94,0,0.59)'>0.758</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr></tbody></table></div><script type='text/plain' id='sa-csv'>Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Avg. rank,Win rate (%),Improvability (%),Error vs. all features,Stability,Validity,Selection time (s),Fallback rate (%),#Datasets,#Comparisons
36
- 1,RFImportance,Non-search,Tree,1273.0,1224.0,1331.0,5.82,65.6,11.0,,0.661,0.6,0.2,0.0,71,213
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- 2,CART,Non-search,Tree,1210.0,1169.0,1258.0,6.66,59.6,14.0,,0.402,0.507,0.0,0.0,71,213
38
- 3,Lasso,Non-search,Regularization,1207.0,1160.0,1253.0,6.9,57.9,13.4,,0.334,0.643,1.9,0.0,71,213
39
- 4,ElasticNet,Non-search,Regularization,1207.0,1154.0,1261.0,6.79,58.6,14.1,,0.419,0.665,6.1,0.0,71,213
40
- 5,MI,Non-search,Information theory,1197.0,1148.0,1245.0,7.19,55.8,14.4,,0.649,0.723,0.4,0.0,71,213
41
- 6,F-Test,Non-search,Correlation,1183.0,1135.0,1227.0,7.42,54.1,13.5,,0.668,0.781,0.0,0.0,71,213
42
- 7,mRMR,Non-search,Information theory,1153.0,1110.0,1196.0,8.12,49.1,15.4,,0.656,0.593,0.5,7.0,71,213
43
- 8,(R)ReliefF,Non-search,Distance,1145.0,1095.0,1197.0,7.9,50.7,14.4,,0.656,0.667,13.1,0.0,71,213
44
- 9,MarkovBlanket,Search,Backward search,1128.0,1085.0,1171.0,8.14,49.0,16.5,,0.434,0.473,0.1,0.0,71,213
45
- 10,SBE,Search,Backward search,1122.0,1064.0,1179.0,7.98,50.1,18.4,,0.095,0.53,1923.4,44.6,71,213
46
- 11,LOCO,Search,Leave-one-out,1118.0,1065.0,1171.0,8.21,48.5,19.1,,0.114,0.544,236.6,11.3,71,213
47
- 12,GainRatio,Non-search,Information theory,1115.0,1071.0,1161.0,8.49,46.5,16.2,,0.641,0.751,0.2,0.0,71,213
48
- 13,SFS,Search,Forward search,1098.0,1050.0,1148.0,8.54,46.1,19.2,,0.225,0.568,2771.3,48.4,71,213
49
- 14,Random,Baseline,Baseline,1000.0,943.0,1050.0,9.97,35.9,24.9,,0.002,0.494,0.0,0.0,71,213
50
- 15,LaplacianScore,Non-search,Distance,878.0,796.0,950.0,11.86,22.4,31.8,,0.689,0.758,0.2,0.0,71,213
51
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+ </style></head><body><div class='toolbar'><span class='hint'>Click a column to sort. Hover a header for its definition. Stability and validity are shaded as in the Elo figure: darker is better.</span><button onclick="saCsv('selectarena_leaderboard.csv')">CSV</button></div><div class='wrap'><table id='sa-table'><thead><tr><th class='num' title='Rank by Elo.'>#</th><th class=''>Method</th><th class='' title='Taxonomy of the paper (Appendix A). Search methods evaluate many feature subsets with the model (forward, backward, leave-one-out); non-search methods use a proxy instead (correlation, distance, information theory, tree, regularization).'>Type</th><th class='num' title='Bradley-Terry Elo from pairwise matches within each dataset, budget and downstream model. Random = 1000. +/βˆ’ give the 95% bootstrap interval.'>Elo ↑</th><th class='num' title='Mean reduction of the downstream error compared with random selection on the same dataset, in % (as in the Pareto figure; Random is 0).'>Improvement over Random ↑</th><th class='num' title='Agreement of the selected features across bootstrap resamples (Nogueira et al., 2018).'>Stability ↑</th><th class='num' title='Share of the budget filled with original features when as many noise features are added.'>Validity ↑</th><th class='num' title='Median wall-clock time of the selection.'>Time (s) ↓</th><th class='num' title='Share of runs where the method ran out of time and random features filled the budget.'>Fallback (%)</th></tr></thead><tbody><tr><td class='num' data-sort='1'><span class='medal' role='img' aria-label='gold medal'>πŸ₯‡</span>1</td><td class='method' data-sort='RFImportance'>RFImportance</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1273.0'>1273<span class='sub'>+58 / βˆ’49</span></td><td class='num' data-sort='17.7'>17.7</td><td class='num shaded' data-sort='0.661' style='background:rgba(0,114,178,0.52)'>0.661</td><td class='num shaded' data-sort='0.6' style='background:rgba(213,94,0,0.48)'>0.600</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='2'><span class='medal' role='img' aria-label='silver medal'>πŸ₯ˆ</span>2</td><td class='method' data-sort='CART'>CART</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1210.0'>1210<span class='sub'>+48 / βˆ’41</span></td><td class='num' data-sort='14.3'>14.3</td><td class='num shaded' data-sort='0.402' style='background:rgba(0,114,178,0.35)'>0.402</td><td class='num shaded' data-sort='0.507' style='background:rgba(213,94,0,0.42)'>0.507</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='3'><span class='medal' role='img' aria-label='bronze medal'>πŸ₯‰</span>3</td><td class='method' data-sort='Lasso'>Lasso</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1207.0'>1207<span class='sub'>+46 / βˆ’47</span></td><td class='num' data-sort='13.7'>13.7</td><td class='num shaded' data-sort='0.334' style='background:rgba(0,114,178,0.30)'>0.334</td><td class='num shaded' data-sort='0.643' style='background:rgba(213,94,0,0.51)'>0.643</td><td class='num' data-sort='1.9'>1.9</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='4'><span class='medal'></span>4</td><td class='method' data-sort='ElasticNet'>ElasticNet</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1207.0'>1207<span class='sub'>+54 / βˆ’53</span></td><td class='num' data-sort='13.3'>13.3</td><td class='num shaded' data-sort='0.419' style='background:rgba(0,114,178,0.36)'>0.419</td><td class='num shaded' data-sort='0.665' style='background:rgba(213,94,0,0.53)'>0.665</td><td class='num' data-sort='6.1'>6.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='5'><span class='medal'></span>5</td><td class='method' data-sort='MI'>MI</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1197.0'>1197<span class='sub'>+48 / βˆ’49</span></td><td class='num' data-sort='13.7'>13.7</td><td class='num shaded' data-sort='0.649' style='background:rgba(0,114,178,0.51)'>0.649</td><td class='num shaded' data-sort='0.723' style='background:rgba(213,94,0,0.56)'>0.723</td><td class='num' data-sort='0.4'>0.4</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='6'><span class='medal'></span>6</td><td class='method' data-sort='F-Test'>F-Test</td><td class='' data-sort='Correlation'><span class='pill cat-non-search'>Correlation</span><span class='sub'>non-search</span></td><td class='num' data-sort='1183.0'>1183<span class='sub'>+44 / βˆ’48</span></td><td class='num' data-sort='14.2'>14.2</td><td class='num shaded' data-sort='0.668' style='background:rgba(0,114,178,0.53)'>0.668</td><td class='num shaded' data-sort='0.781' style='background:rgba(213,94,0,0.60)'>0.781</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='7'><span class='medal'></span>7</td><td class='method' data-sort='mRMR'>mRMR</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1153.0'>1153<span class='sub'>+43 / βˆ’43</span></td><td class='num' data-sort='13.5'>13.5</td><td class='num shaded' data-sort='0.656' style='background:rgba(0,114,178,0.52)'>0.656</td><td class='num shaded' data-sort='0.593' style='background:rgba(213,94,0,0.48)'>0.593</td><td class='num' data-sort='0.5'>0.5</td><td class='num' data-sort='7.0'>7.0</td></tr><tr><td class='num' data-sort='8'><span class='medal'></span>8</td><td class='method' data-sort='(R)ReliefF'>(R)ReliefF</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='1145.0'>1145<span class='sub'>+52 / βˆ’50</span></td><td class='num' data-sort='12.8'>12.8</td><td class='num shaded' data-sort='0.656' style='background:rgba(0,114,178,0.52)'>0.656</td><td class='num shaded' data-sort='0.667' style='background:rgba(213,94,0,0.53)'>0.667</td><td class='num' data-sort='13.1'>13.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='9'><span class='medal'></span>9</td><td class='method' data-sort='MarkovBlanket'>MarkovBlanket</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1128.0'>1128<span class='sub'>+43 / βˆ’43</span></td><td class='num' data-sort='12.3'>12.3</td><td class='num shaded' data-sort='0.434' style='background:rgba(0,114,178,0.37)'>0.434</td><td class='num shaded' data-sort='0.473' style='background:rgba(213,94,0,0.40)'>0.473</td><td class='num' data-sort='0.1'>0.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='10'><span class='medal'></span>10</td><td class='method' data-sort='SBE'>SBE</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1122.0'>1122<span class='sub'>+57 / βˆ’58</span></td><td 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data-sort='0.225' style='background:rgba(0,114,178,0.23)'>0.225</td><td class='num shaded' data-sort='0.568' style='background:rgba(213,94,0,0.46)'>0.568</td><td class='num' data-sort='2771.3'>2,771.3</td><td class='num' data-sort='48.4'>48.4</td></tr><tr><td class='num' data-sort='14'><span class='medal'></span>14</td><td class='method' data-sort='Random'>Random</td><td class='' data-sort='Baseline'><span class='pill cat-baseline'>Baseline</span></td><td class='num' data-sort='1000.0'>1000<span class='sub'>+50 / βˆ’57</span></td><td class='num' data-sort='0.0'>0.0</td><td class='num shaded' data-sort='0.002' style='background:rgba(0,114,178,0.08)'>0.002</td><td class='num shaded' data-sort='0.494' style='background:rgba(213,94,0,0.41)'>0.494</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='15'><span class='medal'></span>15</td><td class='method' data-sort='LaplacianScore'>LaplacianScore</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='878.0'>878<span class='sub'>+72 / βˆ’82</span></td><td class='num' data-sort='-126.6'>-126.6</td><td class='num shaded' data-sort='0.689' style='background:rgba(0,114,178,0.54)'>0.689</td><td class='num shaded' data-sort='0.758' style='background:rgba(213,94,0,0.59)'>0.758</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr></tbody></table></div><script type='text/plain' id='sa-csv'>Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Improvement over Random (%),Stability,Validity,Selection time (s),Fallback rate (%)
36
+ 1,RFImportance,Non-search,Tree,1273.0,1224.0,1331.0,17.7,0.661,0.6,0.2,0.0
37
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38
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45
+ 10,SBE,Search,Backward search,1122.0,1064.0,1179.0,5.8,0.095,0.53,1923.4,44.6
46
+ 11,LOCO,Search,Leave-one-out,1118.0,1065.0,1171.0,6.2,0.114,0.544,236.6,11.3
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+ 12,GainRatio,Non-search,Information theory,1115.0,1071.0,1161.0,12.3,0.641,0.751,0.2,0.0
48
+ 13,SFS,Search,Forward search,1098.0,1050.0,1148.0,7.3,0.225,0.568,2771.3,48.4
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+ 14,Random,Baseline,Baseline,1000.0,943.0,1050.0,0.0,0.002,0.494,0.0,0.0
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data/subsets/tasks_all/models_lightgbm/budgets_3/website_leaderboard.csv CHANGED
@@ -1,16 +1,16 @@
1
- Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Avg. rank,Win rate (%),Improvability (%),Error vs. all features,Stability,Validity,Selection time (s),Fallback rate (%),#Datasets,#Comparisons
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- 3,Lasso,Non-search,Regularization,1207.0,1160.0,1253.0,6.9,57.9,13.4,,0.334,0.643,1.9,0.0,71,213
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- 4,ElasticNet,Non-search,Regularization,1207.0,1154.0,1261.0,6.79,58.6,14.1,,0.419,0.665,6.1,0.0,71,213
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- 5,MI,Non-search,Information theory,1197.0,1148.0,1245.0,7.19,55.8,14.4,,0.649,0.723,0.4,0.0,71,213
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- 6,F-Test,Non-search,Correlation,1183.0,1135.0,1227.0,7.42,54.1,13.5,,0.668,0.781,0.0,0.0,71,213
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- 7,mRMR,Non-search,Information theory,1153.0,1110.0,1196.0,8.12,49.1,15.4,,0.656,0.593,0.5,7.0,71,213
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- 8,(R)ReliefF,Non-search,Distance,1145.0,1095.0,1197.0,7.9,50.7,14.4,,0.656,0.667,13.1,0.0,71,213
10
- 9,MarkovBlanket,Search,Backward search,1128.0,1085.0,1171.0,8.14,49.0,16.5,,0.434,0.473,0.1,0.0,71,213
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- 10,SBE,Search,Backward search,1122.0,1064.0,1179.0,7.98,50.1,18.4,,0.095,0.53,1923.4,44.6,71,213
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- 11,LOCO,Search,Leave-one-out,1118.0,1065.0,1171.0,8.21,48.5,19.1,,0.114,0.544,236.6,11.3,71,213
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- 12,GainRatio,Non-search,Information theory,1115.0,1071.0,1161.0,8.49,46.5,16.2,,0.641,0.751,0.2,0.0,71,213
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- 13,SFS,Search,Forward search,1098.0,1050.0,1148.0,8.54,46.1,19.2,,0.225,0.568,2771.3,48.4,71,213
15
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16
- 15,LaplacianScore,Non-search,Distance,878.0,796.0,950.0,11.86,22.4,31.8,,0.689,0.758,0.2,0.0,71,213
 
1
+ Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Avg. rank,Win rate (%),Improvability (%),Improvement over Random (%),Error vs. all features,Stability,Validity,Selection time (s),Fallback rate (%),#Datasets,#Comparisons
2
+ 1,RFImportance,Non-search,Tree,1273.0,1224.0,1331.0,5.82,65.6,11.0,17.7,,0.661,0.6,0.2,0.0,71,213
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+ 5,MI,Non-search,Information theory,1197.0,1148.0,1245.0,7.19,55.8,14.4,13.7,,0.649,0.723,0.4,0.0,71,213
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+ 6,F-Test,Non-search,Correlation,1183.0,1135.0,1227.0,7.42,54.1,13.5,14.2,,0.668,0.781,0.0,0.0,71,213
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+ 7,mRMR,Non-search,Information theory,1153.0,1110.0,1196.0,8.12,49.1,15.4,13.5,,0.656,0.593,0.5,7.0,71,213
9
+ 8,(R)ReliefF,Non-search,Distance,1145.0,1095.0,1197.0,7.9,50.7,14.4,12.8,,0.656,0.667,13.1,0.0,71,213
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11
+ 10,SBE,Search,Backward search,1122.0,1064.0,1179.0,7.98,50.1,18.4,5.8,,0.095,0.53,1923.4,44.6,71,213
12
+ 11,LOCO,Search,Leave-one-out,1118.0,1065.0,1171.0,8.21,48.5,19.1,6.2,,0.114,0.544,236.6,11.3,71,213
13
+ 12,GainRatio,Non-search,Information theory,1115.0,1071.0,1161.0,8.49,46.5,16.2,12.3,,0.641,0.751,0.2,0.0,71,213
14
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- </style></head><body><div class='toolbar'><span class='hint'>Click a column to sort. Hover a header for its definition. Stability and validity are shaded as in the Elo figure: darker is better.</span><button onclick="saCsv('selectarena_leaderboard.csv')">CSV</button></div><div class='wrap'><table id='sa-table'><thead><tr><th class='num' title='Rank by Elo.'>#</th><th class=''>Method</th><th class='' title='Taxonomy of the paper (Appendix A). Search methods evaluate many feature subsets with the model (forward, backward, leave-one-out); non-search methods use a proxy instead (correlation, distance, information theory, tree, regularization).'>Type</th><th class='num' title='Bradley-Terry Elo from pairwise matches within each dataset, budget and downstream model. Random = 1000. +/βˆ’ give the 95% bootstrap interval.'>Elo ↑</th><th class='num' title='Mean rank of the downstream error.'>Avg. rank ↓</th><th class='num' title='Mean relative gap (error βˆ’ best error) / error to the best method, in %.'>Improvability ↓</th><th class='num' title='Agreement of the selected features across bootstrap resamples (Nogueira et al., 2018).'>Stability ↑</th><th class='num' title='Share of the budget filled with original features when as many noise features are added.'>Validity ↑</th><th class='num' title='Median wall-clock time of the selection.'>Time (s) ↓</th><th class='num' title='Share of runs where the method ran out of time and random features filled the budget.'>Fallback (%)</th></tr></thead><tbody><tr><td class='num' data-sort='1'><span class='medal' role='img' aria-label='gold medal'>πŸ₯‡</span>1</td><td class='method' data-sort='RFImportance'>RFImportance</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1274.0'>1274<span class='sub'>+52 / βˆ’44</span></td><td class='num' data-sort='5.9'>5.90</td><td class='num' data-sort='8.7'>8.7</td><td class='num shaded' data-sort='0.597' style='background:rgba(0,114,178,0.48)'>0.597</td><td class='num shaded' data-sort='0.507' style='background:rgba(213,94,0,0.42)'>0.507</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='2'><span class='medal' role='img' aria-label='silver medal'>πŸ₯ˆ</span>2</td><td class='method' data-sort='CART'>CART</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1177.0'>1177<span class='sub'>+57 / βˆ’49</span></td><td class='num' data-sort='6.9'>6.90</td><td class='num' data-sort='11.0'>11.0</td><td class='num shaded' data-sort='0.324' style='background:rgba(0,114,178,0.30)'>0.324</td><td class='num shaded' data-sort='0.482' style='background:rgba(213,94,0,0.40)'>0.482</td><td class='num' data-sort='0.1'>0.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='3'><span class='medal' role='img' aria-label='bronze medal'>πŸ₯‰</span>3</td><td class='method' data-sort='ElasticNet'>ElasticNet</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1171.0'>1171<span class='sub'>+49 / βˆ’49</span></td><td class='num' data-sort='7.05'>7.05</td><td class='num' data-sort='10.8'>10.8</td><td class='num shaded' data-sort='0.308' style='background:rgba(0,114,178,0.29)'>0.308</td><td class='num shaded' data-sort='0.568' style='background:rgba(213,94,0,0.46)'>0.568</td><td class='num' data-sort='6.1'>6.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='4'><span class='medal'></span>4</td><td class='method' data-sort='Lasso'>Lasso</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1169.0'>1169<span class='sub'>+46 / βˆ’41</span></td><td class='num' data-sort='7.22'>7.22</td><td class='num' data-sort='10.5'>10.5</td><td class='num shaded' data-sort='0.246' style='background:rgba(0,114,178,0.24)'>0.246</td><td class='num shaded' data-sort='0.563' style='background:rgba(213,94,0,0.46)'>0.563</td><td class='num' data-sort='1.8'>1.8</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='5'><span class='medal'></span>5</td><td class='method' data-sort='MI'>MI</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1160.0'>1160<span class='sub'>+44 / βˆ’41</span></td><td class='num' data-sort='7.29'>7.29</td><td class='num' data-sort='11.4'>11.4</td><td class='num shaded' data-sort='0.587' style='background:rgba(0,114,178,0.47)'>0.587</td><td class='num shaded' data-sort='0.627' style='background:rgba(213,94,0,0.50)'>0.627</td><td class='num' data-sort='0.4'>0.4</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='6'><span class='medal'></span>6</td><td class='method' data-sort='F-Test'>F-Test</td><td class='' data-sort='Correlation'><span class='pill cat-non-search'>Correlation</span><span class='sub'>non-search</span></td><td class='num' data-sort='1154.0'>1154<span class='sub'>+45 / βˆ’50</span></td><td class='num' data-sort='7.5'>7.50</td><td class='num' data-sort='10.2'>10.2</td><td class='num shaded' data-sort='0.562' style='background:rgba(0,114,178,0.46)'>0.562</td><td class='num shaded' data-sort='0.689' style='background:rgba(213,94,0,0.54)'>0.689</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='7'><span class='medal'></span>7</td><td class='method' data-sort='(R)ReliefF'>(R)ReliefF</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='1148.0'>1148<span class='sub'>+45 / βˆ’48</span></td><td class='num' data-sort='7.86'>7.86</td><td class='num' data-sort='11.2'>11.2</td><td class='num shaded' data-sort='0.612' style='background:rgba(0,114,178,0.49)'>0.612</td><td class='num shaded' data-sort='0.594' style='background:rgba(213,94,0,0.48)'>0.594</td><td class='num' data-sort='13.2'>13.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='8'><span class='medal'></span>8</td><td class='method' data-sort='mRMR'>mRMR</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1125.0'>1125<span class='sub'>+45 / βˆ’48</span></td><td class='num' data-sort='7.75'>7.75</td><td class='num' data-sort='10.2'>10.2</td><td class='num shaded' data-sort='0.651' style='background:rgba(0,114,178,0.52)'>0.651</td><td class='num shaded' data-sort='0.53' style='background:rgba(213,94,0,0.44)'>0.530</td><td class='num' data-sort='0.5'>0.5</td><td class='num' data-sort='9.9'>9.9</td></tr><tr><td class='num' data-sort='9'><span class='medal'></span>9</td><td class='method' data-sort='MarkovBlanket'>MarkovBlanket</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1116.0'>1116<span class='sub'>+46 / βˆ’48</span></td><td class='num' data-sort='8.39'>8.39</td><td class='num' data-sort='11.3'>11.3</td><td class='num shaded' data-sort='0.404' style='background:rgba(0,114,178,0.35)'>0.404</td><td class='num shaded' data-sort='0.463' style='background:rgba(213,94,0,0.39)'>0.463</td><td class='num' data-sort='0.1'>0.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='10'><span class='medal'></span>10</td><td class='method' data-sort='SBE'>SBE</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1112.0'>1112<span class='sub'>+51 / βˆ’53</span></td><td class='num' data-sort='8.4'>8.40</td><td class='num' data-sort='13.1'>13.1</td><td class='num shaded' data-sort='0.059' style='background:rgba(0,114,178,0.12)'>0.059</td><td class='num shaded' data-sort='0.517' style='background:rgba(213,94,0,0.43)'>0.517</td><td class='num' data-sort='1001.8'>1,001.8</td><td class='num' data-sort='40.8'>40.8</td></tr><tr><td class='num' data-sort='11'><span class='medal'></span>11</td><td class='method' data-sort='SFS'>SFS</td><td class='' data-sort='Forward search'><span class='pill cat-search'>Forward search</span><span class='sub'>search</span></td><td class='num' data-sort='1097.0'>1097<span class='sub'>+50 / βˆ’49</span></td><td class='num' data-sort='8.7'>8.70</td><td class='num' data-sort='13.1'>13.1</td><td class='num shaded' data-sort='0.176' style='background:rgba(0,114,178,0.20)'>0.176</td><td class='num shaded' data-sort='0.525' style='background:rgba(213,94,0,0.43)'>0.525</td><td class='num' data-sort='3227.2'>3,227.2</td><td class='num' data-sort='48.4'>48.4</td></tr><tr><td class='num' data-sort='12'><span class='medal'></span>12</td><td class='method' data-sort='LOCO'>LOCO</td><td class='' data-sort='Leave-one-out'><span class='pill cat-search'>Leave-one-out</span><span class='sub'>search</span></td><td class='num' data-sort='1092.0'>1092<span class='sub'>+53 / βˆ’50</span></td><td class='num' data-sort='8.36'>8.36</td><td class='num' data-sort='13.8'>13.8</td><td class='num shaded' data-sort='0.08' style='background:rgba(0,114,178,0.13)'>0.080</td><td class='num shaded' data-sort='0.52' style='background:rgba(213,94,0,0.43)'>0.520</td><td class='num' data-sort='249.4'>249.4</td><td class='num' data-sort='18.3'>18.3</td></tr><tr><td class='num' data-sort='13'><span class='medal'></span>13</td><td class='method' data-sort='GainRatio'>GainRatio</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1091.0'>1091<span class='sub'>+41 / βˆ’46</span></td><td class='num' data-sort='8.61'>8.61</td><td class='num' data-sort='12.7'>12.7</td><td class='num shaded' data-sort='0.55' style='background:rgba(0,114,178,0.45)'>0.550</td><td class='num shaded' data-sort='0.659' style='background:rgba(213,94,0,0.52)'>0.659</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='14'><span class='medal'></span>14</td><td class='method' data-sort='Random'>Random</td><td class='' data-sort='Baseline'><span class='pill cat-baseline'>Baseline</span></td><td class='num' data-sort='1000.0'>1000<span class='sub'>+53 / βˆ’56</span></td><td class='num' data-sort='9.8'>9.80</td><td class='num' data-sort='16.9'>16.9</td><td class='num shaded' data-sort='0.002' style='background:rgba(0,114,178,0.08)'>0.002</td><td class='num shaded' data-sort='0.5' style='background:rgba(213,94,0,0.42)'>0.500</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='15'><span class='medal'></span>15</td><td class='method' data-sort='LaplacianScore'>LaplacianScore</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='968.0'>968<span class='sub'>+56 / βˆ’74</span></td><td class='num' data-sort='10.28'>10.28</td><td class='num' data-sort='20.2'>20.2</td><td class='num shaded' data-sort='0.678' style='background:rgba(0,114,178,0.53)'>0.678</td><td class='num shaded' data-sort='0.701' style='background:rgba(213,94,0,0.55)'>0.701</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr></tbody></table></div><script type='text/plain' id='sa-csv'>Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Avg. rank,Win rate (%),Improvability (%),Error vs. all features,Stability,Validity,Selection time (s),Fallback rate (%),#Datasets,#Comparisons
36
- 1,RFImportance,Non-search,Tree,1274.0,1230.0,1326.0,5.9,65.0,8.7,,0.597,0.507,0.2,0.0,71,213
37
- 2,CART,Non-search,Tree,1177.0,1128.0,1234.0,6.9,57.9,11.0,,0.324,0.482,0.1,0.0,71,213
38
- 3,ElasticNet,Non-search,Regularization,1171.0,1122.0,1220.0,7.05,56.8,10.8,,0.308,0.568,6.1,0.0,71,213
39
- 4,Lasso,Non-search,Regularization,1169.0,1128.0,1215.0,7.22,55.6,10.5,,0.246,0.563,1.8,0.0,71,213
40
- 5,MI,Non-search,Information theory,1160.0,1119.0,1204.0,7.29,55.1,11.4,,0.587,0.627,0.4,0.0,71,213
41
- 6,F-Test,Non-search,Correlation,1154.0,1104.0,1199.0,7.5,53.6,10.2,,0.562,0.689,0.0,0.0,71,213
42
- 7,(R)ReliefF,Non-search,Distance,1148.0,1100.0,1193.0,7.86,51.0,11.2,,0.612,0.594,13.2,0.0,71,213
43
- 8,mRMR,Non-search,Information theory,1125.0,1077.0,1170.0,7.75,51.8,10.2,,0.651,0.53,0.5,9.9,71,213
44
- 9,MarkovBlanket,Search,Backward search,1116.0,1068.0,1162.0,8.39,47.2,11.3,,0.404,0.463,0.1,0.0,71,213
45
- 10,SBE,Search,Backward search,1112.0,1059.0,1163.0,8.4,47.1,13.1,,0.059,0.517,1001.8,40.8,71,213
46
- 11,SFS,Search,Forward search,1097.0,1048.0,1147.0,8.7,45.0,13.1,,0.176,0.525,3227.2,48.4,71,213
47
- 12,LOCO,Search,Leave-one-out,1092.0,1042.0,1145.0,8.36,47.4,13.8,,0.08,0.52,249.4,18.3,71,213
48
- 13,GainRatio,Non-search,Information theory,1091.0,1045.0,1132.0,8.61,45.7,12.7,,0.55,0.659,0.2,0.0,71,213
49
- 14,Random,Baseline,Baseline,1000.0,944.0,1053.0,9.8,37.1,16.9,,0.002,0.5,0.0,0.0,71,213
50
- 15,LaplacianScore,Non-search,Distance,968.0,894.0,1024.0,10.28,33.7,20.2,,0.678,0.701,0.2,0.0,71,213
51
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35
+ </style></head><body><div class='toolbar'><span class='hint'>Click a column to sort. Hover a header for its definition. Stability and validity are shaded as in the Elo figure: darker is better.</span><button onclick="saCsv('selectarena_leaderboard.csv')">CSV</button></div><div class='wrap'><table id='sa-table'><thead><tr><th class='num' title='Rank by Elo.'>#</th><th class=''>Method</th><th class='' title='Taxonomy of the paper (Appendix A). Search methods evaluate many feature subsets with the model (forward, backward, leave-one-out); non-search methods use a proxy instead (correlation, distance, information theory, tree, regularization).'>Type</th><th class='num' title='Bradley-Terry Elo from pairwise matches within each dataset, budget and downstream model. Random = 1000. +/βˆ’ give the 95% bootstrap interval.'>Elo ↑</th><th class='num' title='Mean reduction of the downstream error compared with random selection on the same dataset, in % (as in the Pareto figure; Random is 0).'>Improvement over Random ↑</th><th class='num' title='Agreement of the selected features across bootstrap resamples (Nogueira et al., 2018).'>Stability ↑</th><th class='num' title='Share of the budget filled with original features when as many noise features are added.'>Validity ↑</th><th class='num' title='Median wall-clock time of the selection.'>Time (s) ↓</th><th class='num' title='Share of runs where the method ran out of time and random features filled the budget.'>Fallback (%)</th></tr></thead><tbody><tr><td class='num' data-sort='1'><span class='medal' role='img' aria-label='gold medal'>πŸ₯‡</span>1</td><td class='method' data-sort='RFImportance'>RFImportance</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1274.0'>1274<span class='sub'>+52 / βˆ’44</span></td><td class='num' data-sort='11.1'>11.1</td><td class='num shaded' data-sort='0.597' style='background:rgba(0,114,178,0.48)'>0.597</td><td class='num shaded' data-sort='0.507' style='background:rgba(213,94,0,0.42)'>0.507</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='2'><span class='medal' role='img' aria-label='silver medal'>πŸ₯ˆ</span>2</td><td class='method' data-sort='CART'>CART</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1177.0'>1177<span class='sub'>+57 / βˆ’49</span></td><td class='num' data-sort='7.7'>7.7</td><td class='num shaded' data-sort='0.324' style='background:rgba(0,114,178,0.30)'>0.324</td><td class='num shaded' data-sort='0.482' style='background:rgba(213,94,0,0.40)'>0.482</td><td class='num' data-sort='0.1'>0.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='3'><span class='medal' role='img' aria-label='bronze medal'>πŸ₯‰</span>3</td><td class='method' data-sort='ElasticNet'>ElasticNet</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1171.0'>1171<span class='sub'>+49 / βˆ’49</span></td><td class='num' data-sort='6.3'>6.3</td><td class='num shaded' data-sort='0.308' style='background:rgba(0,114,178,0.29)'>0.308</td><td class='num shaded' data-sort='0.568' style='background:rgba(213,94,0,0.46)'>0.568</td><td class='num' data-sort='6.1'>6.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='4'><span class='medal'></span>4</td><td class='method' data-sort='Lasso'>Lasso</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1169.0'>1169<span class='sub'>+46 / βˆ’41</span></td><td class='num' data-sort='7.6'>7.6</td><td class='num shaded' data-sort='0.246' style='background:rgba(0,114,178,0.24)'>0.246</td><td class='num shaded' data-sort='0.563' style='background:rgba(213,94,0,0.46)'>0.563</td><td class='num' data-sort='1.8'>1.8</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='5'><span class='medal'></span>5</td><td class='method' data-sort='MI'>MI</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1160.0'>1160<span class='sub'>+44 / βˆ’41</span></td><td class='num' data-sort='4.6'>4.6</td><td class='num shaded' data-sort='0.587' style='background:rgba(0,114,178,0.47)'>0.587</td><td class='num shaded' data-sort='0.627' style='background:rgba(213,94,0,0.50)'>0.627</td><td class='num' data-sort='0.4'>0.4</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='6'><span class='medal'></span>6</td><td class='method' data-sort='F-Test'>F-Test</td><td class='' data-sort='Correlation'><span class='pill cat-non-search'>Correlation</span><span class='sub'>non-search</span></td><td class='num' data-sort='1154.0'>1154<span class='sub'>+45 / βˆ’50</span></td><td class='num' data-sort='9.2'>9.2</td><td class='num shaded' data-sort='0.562' style='background:rgba(0,114,178,0.46)'>0.562</td><td class='num shaded' data-sort='0.689' style='background:rgba(213,94,0,0.54)'>0.689</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='7'><span class='medal'></span>7</td><td class='method' data-sort='(R)ReliefF'>(R)ReliefF</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='1148.0'>1148<span class='sub'>+45 / βˆ’48</span></td><td class='num' data-sort='7.0'>7.0</td><td class='num shaded' data-sort='0.612' style='background:rgba(0,114,178,0.49)'>0.612</td><td class='num shaded' data-sort='0.594' style='background:rgba(213,94,0,0.48)'>0.594</td><td class='num' data-sort='13.2'>13.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='8'><span class='medal'></span>8</td><td class='method' data-sort='mRMR'>mRMR</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1125.0'>1125<span class='sub'>+45 / βˆ’48</span></td><td class='num' data-sort='8.3'>8.3</td><td class='num shaded' data-sort='0.651' style='background:rgba(0,114,178,0.52)'>0.651</td><td class='num shaded' data-sort='0.53' style='background:rgba(213,94,0,0.44)'>0.530</td><td class='num' data-sort='0.5'>0.5</td><td class='num' data-sort='9.9'>9.9</td></tr><tr><td class='num' data-sort='9'><span class='medal'></span>9</td><td class='method' data-sort='MarkovBlanket'>MarkovBlanket</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1116.0'>1116<span class='sub'>+46 / βˆ’48</span></td><td class='num' data-sort='7.1'>7.1</td><td class='num shaded' data-sort='0.404' style='background:rgba(0,114,178,0.35)'>0.404</td><td class='num shaded' data-sort='0.463' style='background:rgba(213,94,0,0.39)'>0.463</td><td class='num' data-sort='0.1'>0.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='10'><span class='medal'></span>10</td><td class='method' data-sort='SBE'>SBE</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1112.0'>1112<span class='sub'>+51 / βˆ’53</span></td><td class='num' data-sort='5.3'>5.3</td><td class='num shaded' data-sort='0.059' style='background:rgba(0,114,178,0.12)'>0.059</td><td class='num shaded' data-sort='0.517' style='background:rgba(213,94,0,0.43)'>0.517</td><td class='num' data-sort='1001.8'>1,001.8</td><td class='num' data-sort='40.8'>40.8</td></tr><tr><td class='num' data-sort='11'><span class='medal'></span>11</td><td class='method' data-sort='SFS'>SFS</td><td class='' data-sort='Forward search'><span class='pill cat-search'>Forward search</span><span class='sub'>search</span></td><td class='num' data-sort='1097.0'>1097<span class='sub'>+50 / βˆ’49</span></td><td class='num' data-sort='4.0'>4.0</td><td class='num shaded' data-sort='0.176' style='background:rgba(0,114,178,0.20)'>0.176</td><td class='num shaded' data-sort='0.525' style='background:rgba(213,94,0,0.43)'>0.525</td><td class='num' data-sort='3227.2'>3,227.2</td><td class='num' data-sort='48.4'>48.4</td></tr><tr><td class='num' data-sort='12'><span class='medal'></span>12</td><td class='method' data-sort='LOCO'>LOCO</td><td class='' data-sort='Leave-one-out'><span class='pill cat-search'>Leave-one-out</span><span class='sub'>search</span></td><td class='num' data-sort='1092.0'>1092<span class='sub'>+53 / βˆ’50</span></td><td class='num' data-sort='1.2'>1.2</td><td class='num shaded' data-sort='0.08' style='background:rgba(0,114,178,0.13)'>0.080</td><td class='num shaded' data-sort='0.52' style='background:rgba(213,94,0,0.43)'>0.520</td><td class='num' data-sort='249.4'>249.4</td><td class='num' data-sort='18.3'>18.3</td></tr><tr><td class='num' data-sort='13'><span class='medal'></span>13</td><td class='method' data-sort='GainRatio'>GainRatio</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1091.0'>1091<span class='sub'>+41 / βˆ’46</span></td><td class='num' data-sort='5.1'>5.1</td><td class='num shaded' data-sort='0.55' style='background:rgba(0,114,178,0.45)'>0.550</td><td class='num shaded' data-sort='0.659' style='background:rgba(213,94,0,0.52)'>0.659</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='14'><span class='medal'></span>14</td><td class='method' data-sort='Random'>Random</td><td class='' data-sort='Baseline'><span class='pill cat-baseline'>Baseline</span></td><td class='num' data-sort='1000.0'>1000<span class='sub'>+53 / βˆ’56</span></td><td class='num' data-sort='0.0'>0.0</td><td class='num shaded' data-sort='0.002' style='background:rgba(0,114,178,0.08)'>0.002</td><td class='num shaded' data-sort='0.5' style='background:rgba(213,94,0,0.42)'>0.500</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='15'><span class='medal'></span>15</td><td class='method' data-sort='LaplacianScore'>LaplacianScore</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='968.0'>968<span class='sub'>+56 / βˆ’74</span></td><td class='num' data-sort='-220.2'>-220.2</td><td class='num shaded' data-sort='0.678' style='background:rgba(0,114,178,0.53)'>0.678</td><td class='num shaded' data-sort='0.701' style='background:rgba(213,94,0,0.55)'>0.701</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr></tbody></table></div><script type='text/plain' id='sa-csv'>Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Improvement over Random (%),Stability,Validity,Selection time (s),Fallback rate (%)
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y1='121.5' y2='121.5'/><text class='sa-text' x='57.9' y='127.5' text-anchor='end' font-size='15'>8</text><line class='sa-grid' x1='66.9' x2='847.8' y1='63.8' y2='63.8'/><text class='sa-text' x='57.9' y='69.8' text-anchor='end' font-size='15'>10</text><rect class='sa-frame-line' x='66.9' y='16.2' width='780.9' height='351.8'/><text class='sa-text' x='457.4' y='420.0' text-anchor='middle' font-size='15'>Feature Selection Time (s) per 1k Features</text><text class='sa-text' transform='translate(21.0 192.1) rotate(-90)' text-anchor='middle' font-size='15'>Improvement over Random (%)</text><defs><marker id='sa-arrow' viewBox='0 0 10 10' refX='9' refY='5' markerWidth='7' markerHeight='7' orient='auto-start-reverse'><path d='M0,0 L10,5 L0,10' fill='none' stroke='#009E73' stroke-width='1.6'/></marker></defs><line x1='109.5' y1='51.9' x2='68.9' y2='18.2' stroke='#009E73' stroke-width='2.2' marker-end='url(#sa-arrow)'/><text x='82.5' y='75.9' fill='#009E73' font-size='18' 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data-tip='(R)ReliefF&#10;Improvement over Random: 7.0%&#10;Selection time per 1k features: 2.39e+04 s&#10;Datasets: 71' aria-label='(R)ReliefF&#10;Improvement over Random: 7.0%&#10;Selection time per 1k features: 2.39e+04 s&#10;Datasets: 71'/><circle class='sa-hit' cx='689.0' cy='169.3' r='10.5' data-tip='ElasticNet&#10;Improvement over Random: 6.3%&#10;Selection time per 1k features: 2.06e+03 s&#10;Datasets: 71' aria-label='ElasticNet&#10;Improvement over Random: 6.3%&#10;Selection time per 1k features: 2.06e+03 s&#10;Datasets: 71'/><circle class='sa-hit' cx='776.9' cy='199.6' r='10.5' data-tip='SBE&#10;Improvement over Random: 5.3%&#10;Selection time per 1k features: 1.57e+04 s&#10;Datasets: 71' aria-label='SBE&#10;Improvement over Random: 5.3%&#10;Selection time per 1k features: 1.57e+04 s&#10;Datasets: 71'/><circle class='sa-hit' cx='468.0' cy='206.5' r='10.5' data-tip='GainRatio&#10;Improvement over Random: 5.1%&#10;Selection time per 1k features: 12.5 s&#10;Datasets: 71' 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cy='352.0' r='10.5' data-tip='Random (on the Pareto front)&#10;Improvement over Random: 0.0%&#10;Selection time per 1k features: 0.0027 s&#10;Datasets: 71' aria-label='Random (on the Pareto front)&#10;Improvement over Random: 0.0%&#10;Selection time per 1k features: 0.0027 s&#10;Datasets: 71'/></svg><script type='text/plain' id='sa-csv'>method,improvement,time_per_1k,n_datasets,pareto_optimal
36
  RFImportance,11.0971,38.79,71,True
37
  F-Test,9.1536,0.6257,71,True
38
  mRMR,8.2563,113.024,71,False
data/subsets/tasks_all/models_lightgbm/budgets_4/website_leaderboard.csv CHANGED
@@ -1,16 +1,16 @@
1
- Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Avg. rank,Win rate (%),Improvability (%),Error vs. all features,Stability,Validity,Selection time (s),Fallback rate (%),#Datasets,#Comparisons
2
- 1,RFImportance,Non-search,Tree,1274.0,1230.0,1326.0,5.9,65.0,8.7,,0.597,0.507,0.2,0.0,71,213
3
- 2,CART,Non-search,Tree,1177.0,1128.0,1234.0,6.9,57.9,11.0,,0.324,0.482,0.1,0.0,71,213
4
- 3,ElasticNet,Non-search,Regularization,1171.0,1122.0,1220.0,7.05,56.8,10.8,,0.308,0.568,6.1,0.0,71,213
5
- 4,Lasso,Non-search,Regularization,1169.0,1128.0,1215.0,7.22,55.6,10.5,,0.246,0.563,1.8,0.0,71,213
6
- 5,MI,Non-search,Information theory,1160.0,1119.0,1204.0,7.29,55.1,11.4,,0.587,0.627,0.4,0.0,71,213
7
- 6,F-Test,Non-search,Correlation,1154.0,1104.0,1199.0,7.5,53.6,10.2,,0.562,0.689,0.0,0.0,71,213
8
- 7,(R)ReliefF,Non-search,Distance,1148.0,1100.0,1193.0,7.86,51.0,11.2,,0.612,0.594,13.2,0.0,71,213
9
- 8,mRMR,Non-search,Information theory,1125.0,1077.0,1170.0,7.75,51.8,10.2,,0.651,0.53,0.5,9.9,71,213
10
- 9,MarkovBlanket,Search,Backward search,1116.0,1068.0,1162.0,8.39,47.2,11.3,,0.404,0.463,0.1,0.0,71,213
11
- 10,SBE,Search,Backward search,1112.0,1059.0,1163.0,8.4,47.1,13.1,,0.059,0.517,1001.8,40.8,71,213
12
- 11,SFS,Search,Forward search,1097.0,1048.0,1147.0,8.7,45.0,13.1,,0.176,0.525,3227.2,48.4,71,213
13
- 12,LOCO,Search,Leave-one-out,1092.0,1042.0,1145.0,8.36,47.4,13.8,,0.08,0.52,249.4,18.3,71,213
14
- 13,GainRatio,Non-search,Information theory,1091.0,1045.0,1132.0,8.61,45.7,12.7,,0.55,0.659,0.2,0.0,71,213
15
- 14,Random,Baseline,Baseline,1000.0,944.0,1053.0,9.8,37.1,16.9,,0.002,0.5,0.0,0.0,71,213
16
- 15,LaplacianScore,Non-search,Distance,968.0,894.0,1024.0,10.28,33.7,20.2,,0.678,0.701,0.2,0.0,71,213
 
1
+ Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Avg. rank,Win rate (%),Improvability (%),Improvement over Random (%),Error vs. all features,Stability,Validity,Selection time (s),Fallback rate (%),#Datasets,#Comparisons
2
+ 1,RFImportance,Non-search,Tree,1274.0,1230.0,1326.0,5.9,65.0,8.7,11.1,,0.597,0.507,0.2,0.0,71,213
3
+ 2,CART,Non-search,Tree,1177.0,1128.0,1234.0,6.9,57.9,11.0,7.7,,0.324,0.482,0.1,0.0,71,213
4
+ 3,ElasticNet,Non-search,Regularization,1171.0,1122.0,1220.0,7.05,56.8,10.8,6.3,,0.308,0.568,6.1,0.0,71,213
5
+ 4,Lasso,Non-search,Regularization,1169.0,1128.0,1215.0,7.22,55.6,10.5,7.6,,0.246,0.563,1.8,0.0,71,213
6
+ 5,MI,Non-search,Information theory,1160.0,1119.0,1204.0,7.29,55.1,11.4,4.6,,0.587,0.627,0.4,0.0,71,213
7
+ 6,F-Test,Non-search,Correlation,1154.0,1104.0,1199.0,7.5,53.6,10.2,9.2,,0.562,0.689,0.0,0.0,71,213
8
+ 7,(R)ReliefF,Non-search,Distance,1148.0,1100.0,1193.0,7.86,51.0,11.2,7.0,,0.612,0.594,13.2,0.0,71,213
9
+ 8,mRMR,Non-search,Information theory,1125.0,1077.0,1170.0,7.75,51.8,10.2,8.3,,0.651,0.53,0.5,9.9,71,213
10
+ 9,MarkovBlanket,Search,Backward search,1116.0,1068.0,1162.0,8.39,47.2,11.3,7.1,,0.404,0.463,0.1,0.0,71,213
11
+ 10,SBE,Search,Backward search,1112.0,1059.0,1163.0,8.4,47.1,13.1,5.3,,0.059,0.517,1001.8,40.8,71,213
12
+ 11,SFS,Search,Forward search,1097.0,1048.0,1147.0,8.7,45.0,13.1,4.0,,0.176,0.525,3227.2,48.4,71,213
13
+ 12,LOCO,Search,Leave-one-out,1092.0,1042.0,1145.0,8.36,47.4,13.8,1.2,,0.08,0.52,249.4,18.3,71,213
14
+ 13,GainRatio,Non-search,Information theory,1091.0,1045.0,1132.0,8.61,45.7,12.7,5.1,,0.55,0.659,0.2,0.0,71,213
15
+ 14,Random,Baseline,Baseline,1000.0,944.0,1053.0,9.8,37.1,16.9,0.0,,0.002,0.5,0.0,0.0,71,213
16
+ 15,LaplacianScore,Non-search,Distance,968.0,894.0,1024.0,10.28,33.7,20.2,-220.2,,0.678,0.701,0.2,0.0,71,213
data/subsets/tasks_all/models_lightgbm/budgets_all/leaderboard_table.html CHANGED
@@ -32,22 +32,22 @@ td.na { color:var(--muted); }
32
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33
  .medal { display:inline-block; width:1.4em; text-align:center; font-size:15px; line-height:1; }
34
  td.shaded { font-weight:600; }
35
- </style></head><body><div class='toolbar'><span class='hint'>Click a column to sort. Hover a header for its definition. Stability and validity are shaded as in the Elo figure: darker is better.</span><button onclick="saCsv('selectarena_leaderboard.csv')">CSV</button></div><div class='wrap'><table id='sa-table'><thead><tr><th class='num' title='Rank by Elo.'>#</th><th class=''>Method</th><th class='' title='Taxonomy of the paper (Appendix A). Search methods evaluate many feature subsets with the model (forward, backward, leave-one-out); non-search methods use a proxy instead (correlation, distance, information theory, tree, regularization).'>Type</th><th class='num' title='Bradley-Terry Elo from pairwise matches within each dataset, budget and downstream model. Random = 1000. +/βˆ’ give the 95% bootstrap interval.'>Elo ↑</th><th class='num' title='Mean rank of the downstream error.'>Avg. rank ↓</th><th class='num' title='Mean relative gap (error βˆ’ best error) / error to the best method, in %.'>Improvability ↓</th><th class='num' title='Agreement of the selected features across bootstrap resamples (Nogueira et al., 2018).'>Stability ↑</th><th class='num' title='Share of the budget filled with original features when as many noise features are added.'>Validity ↑</th><th class='num' title='Median wall-clock time of the selection.'>Time (s) ↓</th><th class='num' title='Share of runs where the method ran out of time and random features filled the budget.'>Fallback (%)</th></tr></thead><tbody><tr><td class='num' data-sort='1'><span class='medal' role='img' aria-label='gold medal'>πŸ₯‡</span>1</td><td class='method' data-sort='RFImportance'>RFImportance</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1313.0'>1313<span class='sub'>+44 / βˆ’39</span></td><td class='num' data-sort='6.08'>6.08</td><td class='num' data-sort='13.4'>13.4</td><td class='num shaded' data-sort='0.643' style='background:rgba(0,114,178,0.51)'>0.643</td><td class='num shaded' data-sort='0.669' style='background:rgba(213,94,0,0.53)'>0.669</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='2'><span class='medal' role='img' aria-label='silver medal'>πŸ₯ˆ</span>2</td><td class='method' data-sort='CART'>CART</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1267.0'>1267<span class='sub'>+39 / βˆ’33</span></td><td class='num' data-sort='6.67'>6.67</td><td class='num' data-sort='16.1'>16.1</td><td class='num shaded' data-sort='0.422' style='background:rgba(0,114,178,0.36)'>0.422</td><td class='num shaded' data-sort='0.586' style='background:rgba(213,94,0,0.47)'>0.586</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='3'><span class='medal' role='img' aria-label='bronze medal'>πŸ₯‰</span>3</td><td class='method' data-sort='ElasticNet'>ElasticNet</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1252.0'>1252<span class='sub'>+36 / βˆ’37</span></td><td class='num' data-sort='6.86'>6.86</td><td class='num' data-sort='16.4'>16.4</td><td class='num shaded' data-sort='0.447' style='background:rgba(0,114,178,0.38)'>0.447</td><td class='num shaded' data-sort='0.76' style='background:rgba(213,94,0,0.59)'>0.760</td><td class='num' data-sort='6.1'>6.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='4'><span class='medal'></span>4</td><td class='method' data-sort='MI'>MI</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1244.0'>1244<span class='sub'>+32 / βˆ’30</span></td><td class='num' data-sort='7.09'>7.09</td><td class='num' data-sort='16.6'>16.6</td><td class='num shaded' data-sort='0.647' style='background:rgba(0,114,178,0.51)'>0.647</td><td class='num shaded' data-sort='0.785' style='background:rgba(213,94,0,0.61)'>0.785</td><td class='num' data-sort='0.4'>0.4</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='5'><span class='medal'></span>5</td><td class='method' data-sort='Lasso'>Lasso</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1244.0'>1244<span class='sub'>+36 / βˆ’36</span></td><td class='num' data-sort='7.06'>7.06</td><td class='num' data-sort='16.4'>16.4</td><td class='num shaded' data-sort='0.362' style='background:rgba(0,114,178,0.32)'>0.362</td><td class='num shaded' data-sort='0.73' style='background:rgba(213,94,0,0.57)'>0.730</td><td class='num' data-sort='1.9'>1.9</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='6'><span class='medal'></span>6</td><td class='method' data-sort='MarkovBlanket'>MarkovBlanket</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1224.0'>1224<span class='sub'>+31 / βˆ’28</span></td><td class='num' data-sort='7.48'>7.48</td><td class='num' data-sort='17.5'>17.5</td><td class='num shaded' data-sort='0.413' style='background:rgba(0,114,178,0.36)'>0.413</td><td class='num shaded' data-sort='0.463' style='background:rgba(213,94,0,0.39)'>0.463</td><td class='num' data-sort='0.1'>0.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='7'><span class='medal'></span>7</td><td class='method' data-sort='F-Test'>F-Test</td><td class='' data-sort='Correlation'><span class='pill cat-non-search'>Correlation</span><span class='sub'>non-search</span></td><td class='num' data-sort='1217.0'>1217<span class='sub'>+34 / βˆ’34</span></td><td class='num' data-sort='7.56'>7.56</td><td class='num' data-sort='17.3'>17.3</td><td class='num shaded' data-sort='0.679' style='background:rgba(0,114,178,0.53)'>0.679</td><td class='num shaded' data-sort='0.846' style='background:rgba(213,94,0,0.65)'>0.846</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='8'><span class='medal'></span>8</td><td class='method' data-sort='mRMR'>mRMR</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1201.0'>1201<span class='sub'>+33 / βˆ’33</span></td><td class='num' data-sort='7.9'>7.90</td><td class='num' data-sort='17.8'>17.8</td><td class='num shaded' data-sort='0.604' style='background:rgba(0,114,178,0.48)'>0.604</td><td class='num shaded' data-sort='0.655' style='background:rgba(213,94,0,0.52)'>0.655</td><td class='num' data-sort='0.4'>0.4</td><td class='num' data-sort='3.4'>3.4</td></tr><tr><td class='num' data-sort='9'><span class='medal'></span>9</td><td class='method' data-sort='SFS'>SFS</td><td class='' data-sort='Forward search'><span class='pill cat-search'>Forward search</span><span class='sub'>search</span></td><td class='num' data-sort='1192.0'>1192<span class='sub'>+38 / βˆ’40</span></td><td class='num' data-sort='7.96'>7.96</td><td class='num' data-sort='19.5'>19.5</td><td class='num shaded' data-sort='0.267' style='background:rgba(0,114,178,0.26)'>0.267</td><td class='num shaded' data-sort='0.627' style='background:rgba(213,94,0,0.50)'>0.627</td><td class='num' data-sort='2166.9'>2,166.9</td><td class='num' data-sort='43.8'>43.8</td></tr><tr><td class='num' data-sort='10'><span class='medal'></span>10</td><td class='method' data-sort='(R)ReliefF'>(R)ReliefF</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='1185.0'>1185<span class='sub'>+37 / βˆ’36</span></td><td class='num' data-sort='8.07'>8.07</td><td class='num' data-sort='18.9'>18.9</td><td class='num shaded' data-sort='0.646' style='background:rgba(0,114,178,0.51)'>0.646</td><td class='num shaded' data-sort='0.74' style='background:rgba(213,94,0,0.58)'>0.740</td><td class='num' data-sort='13.1'>13.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='11'><span class='medal'></span>11</td><td class='method' data-sort='SBE'>SBE</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1184.0'>1184<span class='sub'>+44 / βˆ’46</span></td><td class='num' data-sort='8.09'>8.09</td><td class='num' data-sort='21.2'>21.2</td><td class='num shaded' data-sort='0.132' style='background:rgba(0,114,178,0.17)'>0.132</td><td class='num shaded' data-sort='0.56' style='background:rgba(213,94,0,0.46)'>0.560</td><td class='num' data-sort='2611.6'>2,611.6</td><td class='num' data-sort='46.2'>46.2</td></tr><tr><td class='num' data-sort='12'><span class='medal'></span>12</td><td class='method' data-sort='GainRatio'>GainRatio</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1181.0'>1181<span class='sub'>+32 / βˆ’33</span></td><td class='num' data-sort='8.25'>8.25</td><td class='num' data-sort='19.3'>19.3</td><td class='num shaded' data-sort='0.644' style='background:rgba(0,114,178,0.51)'>0.644</td><td class='num shaded' data-sort='0.825' style='background:rgba(213,94,0,0.63)'>0.825</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='13'><span class='medal'></span>13</td><td class='method' data-sort='LOCO'>LOCO</td><td class='' data-sort='Leave-one-out'><span class='pill cat-search'>Leave-one-out</span><span class='sub'>search</span></td><td class='num' data-sort='1158.0'>1158<span class='sub'>+41 / βˆ’40</span></td><td class='num' data-sort='8.35'>8.35</td><td class='num' data-sort='21.6'>21.6</td><td class='num shaded' data-sort='0.173' style='background:rgba(0,114,178,0.20)'>0.173</td><td class='num shaded' data-sort='0.583' style='background:rgba(213,94,0,0.47)'>0.583</td><td class='num' data-sort='240.9'>240.9</td><td class='num' data-sort='7.2'>7.2</td></tr><tr><td class='num' data-sort='14'><span class='medal'></span>14</td><td class='method' data-sort='Random'>Random</td><td class='' data-sort='Baseline'><span class='pill cat-baseline'>Baseline</span></td><td class='num' data-sort='1000.0'>1000<span class='sub'>+36 / βˆ’38</span></td><td class='num' data-sort='10.78'>10.78</td><td class='num' data-sort='30.3'>30.3</td><td class='num shaded' data-sort='0.001' style='background:rgba(0,114,178,0.08)'>0.001</td><td class='num shaded' data-sort='0.5' style='background:rgba(213,94,0,0.42)'>0.500</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='15'><span class='medal'></span>15</td><td class='method' data-sort='LaplacianScore'>LaplacianScore</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='943.0'>943<span class='sub'>+54 / βˆ’65</span></td><td class='num' data-sort='11.8'>11.80</td><td class='num' data-sort='35.1'>35.1</td><td class='num shaded' data-sort='0.652' style='background:rgba(0,114,178,0.52)'>0.652</td><td class='num shaded' data-sort='0.797' style='background:rgba(213,94,0,0.61)'>0.797</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr></tbody></table></div><script type='text/plain' id='sa-csv'>Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Avg. rank,Win rate (%),Improvability (%),Error vs. all features,Stability,Validity,Selection time (s),Fallback rate (%),#Datasets,#Comparisons
36
- 1,RFImportance,Non-search,Tree,1313.0,1274.0,1357.0,6.08,63.7,13.4,,0.643,0.669,0.2,0.0,71,1065
37
- 2,CART,Non-search,Tree,1267.0,1234.0,1306.0,6.67,59.5,16.1,,0.422,0.586,0.0,0.0,71,1065
38
- 3,ElasticNet,Non-search,Regularization,1252.0,1215.0,1288.0,6.86,58.2,16.4,,0.447,0.76,6.1,0.0,71,1065
39
- 4,MI,Non-search,Information theory,1244.0,1214.0,1276.0,7.09,56.5,16.6,,0.647,0.785,0.4,0.0,71,1065
40
- 5,Lasso,Non-search,Regularization,1244.0,1208.0,1280.0,7.06,56.7,16.4,,0.362,0.73,1.9,0.0,71,1065
41
- 6,MarkovBlanket,Search,Backward search,1224.0,1196.0,1255.0,7.48,53.7,17.5,,0.413,0.463,0.1,0.0,71,1065
42
- 7,F-Test,Non-search,Correlation,1217.0,1183.0,1251.0,7.56,53.2,17.3,,0.679,0.846,0.0,0.0,71,1065
43
- 8,mRMR,Non-search,Information theory,1201.0,1168.0,1234.0,7.9,50.7,17.8,,0.604,0.655,0.4,3.4,71,1065
44
- 9,SFS,Search,Forward search,1192.0,1152.0,1230.0,7.96,50.3,19.5,,0.267,0.627,2166.9,43.8,71,1065
45
- 10,(R)ReliefF,Non-search,Distance,1185.0,1149.0,1222.0,8.07,49.5,18.9,,0.646,0.74,13.1,0.0,71,1065
46
- 11,SBE,Search,Backward search,1184.0,1138.0,1228.0,8.09,49.4,21.2,,0.132,0.56,2611.6,46.2,71,1065
47
- 12,GainRatio,Non-search,Information theory,1181.0,1148.0,1213.0,8.25,48.2,19.3,,0.644,0.825,0.2,0.0,71,1065
48
- 13,LOCO,Search,Leave-one-out,1158.0,1118.0,1199.0,8.35,47.5,21.6,,0.173,0.583,240.9,7.2,71,1065
49
- 14,Random,Baseline,Baseline,1000.0,962.0,1036.0,10.78,30.1,30.3,,0.001,0.5,0.0,0.0,71,1065
50
- 15,LaplacianScore,Non-search,Distance,943.0,878.0,997.0,11.8,22.8,35.1,,0.652,0.797,0.2,0.0,71,1065
51
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+ </style></head><body><div class='toolbar'><span class='hint'>Click a column to sort. Hover a header for its definition. Stability and validity are shaded as in the Elo figure: darker is better.</span><button onclick="saCsv('selectarena_leaderboard.csv')">CSV</button></div><div class='wrap'><table id='sa-table'><thead><tr><th class='num' title='Rank by Elo.'>#</th><th class=''>Method</th><th class='' title='Taxonomy of the paper (Appendix A). Search methods evaluate many feature subsets with the model (forward, backward, leave-one-out); non-search methods use a proxy instead (correlation, distance, information theory, tree, regularization).'>Type</th><th class='num' title='Bradley-Terry Elo from pairwise matches within each dataset, budget and downstream model. Random = 1000. +/βˆ’ give the 95% bootstrap interval.'>Elo ↑</th><th class='num' title='Mean reduction of the downstream error compared with random selection on the same dataset, in % (as in the Pareto figure; Random is 0).'>Improvement over Random ↑</th><th class='num' title='Agreement of the selected features across bootstrap resamples (Nogueira et al., 2018).'>Stability ↑</th><th class='num' title='Share of the budget filled with original features when as many noise features are added.'>Validity ↑</th><th class='num' title='Median wall-clock time of the selection.'>Time (s) ↓</th><th class='num' title='Share of runs where the method ran out of time and random features filled the budget.'>Fallback (%)</th></tr></thead><tbody><tr><td class='num' data-sort='1'><span class='medal' role='img' aria-label='gold medal'>πŸ₯‡</span>1</td><td class='method' data-sort='RFImportance'>RFImportance</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1313.0'>1313<span class='sub'>+44 / βˆ’39</span></td><td class='num' data-sort='25.5'>25.5</td><td class='num shaded' data-sort='0.643' style='background:rgba(0,114,178,0.51)'>0.643</td><td class='num shaded' data-sort='0.669' style='background:rgba(213,94,0,0.53)'>0.669</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='2'><span class='medal' role='img' aria-label='silver medal'>πŸ₯ˆ</span>2</td><td class='method' data-sort='CART'>CART</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1267.0'>1267<span class='sub'>+39 / βˆ’33</span></td><td class='num' data-sort='23.5'>23.5</td><td class='num shaded' data-sort='0.422' style='background:rgba(0,114,178,0.36)'>0.422</td><td class='num shaded' data-sort='0.586' style='background:rgba(213,94,0,0.47)'>0.586</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='3'><span class='medal' role='img' aria-label='bronze medal'>πŸ₯‰</span>3</td><td class='method' data-sort='ElasticNet'>ElasticNet</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1252.0'>1252<span class='sub'>+36 / βˆ’37</span></td><td class='num' data-sort='21.6'>21.6</td><td class='num shaded' data-sort='0.447' style='background:rgba(0,114,178,0.38)'>0.447</td><td class='num shaded' data-sort='0.76' style='background:rgba(213,94,0,0.59)'>0.760</td><td class='num' data-sort='6.1'>6.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='4'><span class='medal'></span>4</td><td class='method' data-sort='MI'>MI</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1244.0'>1244<span class='sub'>+32 / βˆ’30</span></td><td class='num' data-sort='22.9'>22.9</td><td class='num shaded' data-sort='0.647' style='background:rgba(0,114,178,0.51)'>0.647</td><td class='num shaded' data-sort='0.785' style='background:rgba(213,94,0,0.61)'>0.785</td><td class='num' data-sort='0.4'>0.4</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='5'><span class='medal'></span>5</td><td class='method' data-sort='Lasso'>Lasso</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1244.0'>1244<span class='sub'>+36 / βˆ’36</span></td><td class='num' data-sort='21.1'>21.1</td><td class='num shaded' data-sort='0.362' style='background:rgba(0,114,178,0.32)'>0.362</td><td class='num shaded' data-sort='0.73' style='background:rgba(213,94,0,0.57)'>0.730</td><td class='num' data-sort='1.9'>1.9</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='6'><span class='medal'></span>6</td><td class='method' data-sort='MarkovBlanket'>MarkovBlanket</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1224.0'>1224<span class='sub'>+31 / βˆ’28</span></td><td class='num' data-sort='21.2'>21.2</td><td class='num shaded' data-sort='0.413' style='background:rgba(0,114,178,0.36)'>0.413</td><td class='num shaded' data-sort='0.463' style='background:rgba(213,94,0,0.39)'>0.463</td><td class='num' data-sort='0.1'>0.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='7'><span class='medal'></span>7</td><td class='method' data-sort='F-Test'>F-Test</td><td class='' data-sort='Correlation'><span class='pill cat-non-search'>Correlation</span><span class='sub'>non-search</span></td><td class='num' data-sort='1217.0'>1217<span class='sub'>+34 / βˆ’34</span></td><td class='num' data-sort='21.5'>21.5</td><td class='num shaded' data-sort='0.679' style='background:rgba(0,114,178,0.53)'>0.679</td><td class='num shaded' data-sort='0.846' style='background:rgba(213,94,0,0.65)'>0.846</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='8'><span class='medal'></span>8</td><td class='method' data-sort='mRMR'>mRMR</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1201.0'>1201<span class='sub'>+33 / βˆ’33</span></td><td class='num' data-sort='21.7'>21.7</td><td class='num shaded' data-sort='0.604' style='background:rgba(0,114,178,0.48)'>0.604</td><td class='num shaded' data-sort='0.655' style='background:rgba(213,94,0,0.52)'>0.655</td><td class='num' data-sort='0.4'>0.4</td><td class='num' data-sort='3.4'>3.4</td></tr><tr><td class='num' data-sort='9'><span class='medal'></span>9</td><td class='method' data-sort='SFS'>SFS</td><td class='' data-sort='Forward search'><span class='pill cat-search'>Forward search</span><span class='sub'>search</span></td><td class='num' data-sort='1192.0'>1192<span class='sub'>+38 / βˆ’40</span></td><td class='num' data-sort='18.1'>18.1</td><td class='num shaded' data-sort='0.267' style='background:rgba(0,114,178,0.26)'>0.267</td><td class='num shaded' data-sort='0.627' style='background:rgba(213,94,0,0.50)'>0.627</td><td class='num' data-sort='2166.9'>2,166.9</td><td class='num' data-sort='43.8'>43.8</td></tr><tr><td class='num' data-sort='10'><span class='medal'></span>10</td><td class='method' data-sort='(R)ReliefF'>(R)ReliefF</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='1185.0'>1185<span class='sub'>+37 / βˆ’36</span></td><td class='num' data-sort='18.5'>18.5</td><td class='num shaded' data-sort='0.646' style='background:rgba(0,114,178,0.51)'>0.646</td><td class='num shaded' data-sort='0.74' style='background:rgba(213,94,0,0.58)'>0.740</td><td class='num' data-sort='13.1'>13.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='11'><span class='medal'></span>11</td><td class='method' data-sort='SBE'>SBE</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1184.0'>1184<span class='sub'>+44 / βˆ’46</span></td><td class='num' data-sort='12.3'>12.3</td><td class='num shaded' data-sort='0.132' style='background:rgba(0,114,178,0.17)'>0.132</td><td class='num shaded' data-sort='0.56' style='background:rgba(213,94,0,0.46)'>0.560</td><td class='num' data-sort='2611.6'>2,611.6</td><td class='num' data-sort='46.2'>46.2</td></tr><tr><td class='num' data-sort='12'><span class='medal'></span>12</td><td class='method' data-sort='GainRatio'>GainRatio</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1181.0'>1181<span class='sub'>+32 / βˆ’33</span></td><td class='num' data-sort='19.8'>19.8</td><td class='num shaded' data-sort='0.644' style='background:rgba(0,114,178,0.51)'>0.644</td><td class='num shaded' data-sort='0.825' style='background:rgba(213,94,0,0.63)'>0.825</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='13'><span class='medal'></span>13</td><td class='method' data-sort='LOCO'>LOCO</td><td class='' data-sort='Leave-one-out'><span class='pill cat-search'>Leave-one-out</span><span class='sub'>search</span></td><td class='num' data-sort='1158.0'>1158<span class='sub'>+41 / βˆ’40</span></td><td class='num' data-sort='13.0'>13.0</td><td class='num shaded' data-sort='0.173' style='background:rgba(0,114,178,0.20)'>0.173</td><td class='num shaded' data-sort='0.583' style='background:rgba(213,94,0,0.47)'>0.583</td><td class='num' data-sort='240.9'>240.9</td><td class='num' data-sort='7.2'>7.2</td></tr><tr><td class='num' data-sort='14'><span class='medal'></span>14</td><td class='method' data-sort='Random'>Random</td><td class='' data-sort='Baseline'><span class='pill cat-baseline'>Baseline</span></td><td class='num' data-sort='1000.0'>1000<span class='sub'>+36 / βˆ’38</span></td><td class='num' data-sort='0.0'>0.0</td><td class='num shaded' data-sort='0.001' style='background:rgba(0,114,178,0.08)'>0.001</td><td class='num shaded' data-sort='0.5' style='background:rgba(213,94,0,0.42)'>0.500</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='15'><span class='medal'></span>15</td><td class='method' data-sort='LaplacianScore'>LaplacianScore</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='943.0'>943<span class='sub'>+54 / βˆ’65</span></td><td class='num' data-sort='-23.2'>-23.2</td><td class='num shaded' data-sort='0.652' style='background:rgba(0,114,178,0.52)'>0.652</td><td class='num shaded' data-sort='0.797' style='background:rgba(213,94,0,0.61)'>0.797</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr></tbody></table></div><script type='text/plain' id='sa-csv'>Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Improvement over Random (%),Stability,Validity,Selection time (s),Fallback rate (%)
36
+ 1,RFImportance,Non-search,Tree,1313.0,1274.0,1357.0,25.5,0.643,0.669,0.2,0.0
37
+ 2,CART,Non-search,Tree,1267.0,1234.0,1306.0,23.5,0.422,0.586,0.0,0.0
38
+ 3,ElasticNet,Non-search,Regularization,1252.0,1215.0,1288.0,21.6,0.447,0.76,6.1,0.0
39
+ 4,MI,Non-search,Information theory,1244.0,1214.0,1276.0,22.9,0.647,0.785,0.4,0.0
40
+ 5,Lasso,Non-search,Regularization,1244.0,1208.0,1280.0,21.1,0.362,0.73,1.9,0.0
41
+ 6,MarkovBlanket,Search,Backward search,1224.0,1196.0,1255.0,21.2,0.413,0.463,0.1,0.0
42
+ 7,F-Test,Non-search,Correlation,1217.0,1183.0,1251.0,21.5,0.679,0.846,0.0,0.0
43
+ 8,mRMR,Non-search,Information theory,1201.0,1168.0,1234.0,21.7,0.604,0.655,0.4,3.4
44
+ 9,SFS,Search,Forward search,1192.0,1152.0,1230.0,18.1,0.267,0.627,2166.9,43.8
45
+ 10,(R)ReliefF,Non-search,Distance,1185.0,1149.0,1222.0,18.5,0.646,0.74,13.1,0.0
46
+ 11,SBE,Search,Backward search,1184.0,1138.0,1228.0,12.3,0.132,0.56,2611.6,46.2
47
+ 12,GainRatio,Non-search,Information theory,1181.0,1148.0,1213.0,19.8,0.644,0.825,0.2,0.0
48
+ 13,LOCO,Search,Leave-one-out,1158.0,1118.0,1199.0,13.0,0.173,0.583,240.9,7.2
49
+ 14,Random,Baseline,Baseline,1000.0,962.0,1036.0,0.0,0.001,0.5,0.0,0.0
50
+ 15,LaplacianScore,Non-search,Distance,943.0,878.0,997.0,-23.2,0.652,0.797,0.2,0.0
51
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y1='101.6' y2='101.6'/><text class='sa-text' x='57.9' y='107.6' text-anchor='end' font-size='15'>20</text><line class='sa-grid' x1='66.9' x2='847.8' y1='39.0' y2='39.0'/><text class='sa-text' x='57.9' y='45.0' text-anchor='end' font-size='15'>25</text><rect class='sa-frame-line' x='66.9' y='16.2' width='780.9' height='351.8'/><text class='sa-text' x='457.4' y='420.0' text-anchor='middle' font-size='15'>Feature Selection Time (s) per 1k Features</text><text class='sa-text' transform='translate(21.0 192.1) rotate(-90)' text-anchor='middle' font-size='15'>Improvement over Random (%)</text><defs><marker id='sa-arrow' viewBox='0 0 10 10' refX='9' refY='5' markerWidth='7' markerHeight='7' orient='auto-start-reverse'><path d='M0,0 L10,5 L0,10' fill='none' stroke='#009E73' stroke-width='1.6'/></marker></defs><line x1='109.5' y1='51.9' x2='68.9' y2='18.2' stroke='#009E73' stroke-width='2.2' marker-end='url(#sa-arrow)'/><text x='82.5' y='75.9' fill='#009E73' font-size='18' font-weight='700'>optimal</text><polyline points='102.4,352.0 343.0,83.2 480.0,57.7 522.9,32.2' fill='none' stroke='#D55E00' stroke-width='3.0'/><circle class='sa-point' cx='522.9' cy='32.2' r='6.8' fill='#D55E00' stroke-width='1'/><circle class='sa-point' cx='480.0' cy='57.7' r='6.8' fill='#D55E00' stroke-width='1'/><circle cx='530.8' cy='65.1' r='5.8' fill='#d3d3d3' fill-opacity='0.8' stroke='#808080' stroke-width='1'/><circle cx='534.0' cy='81.0' r='5.8' fill='#d3d3d3' fill-opacity='0.8' stroke='#808080' stroke-width='1'/><circle cx='698.0' cy='81.7' r='5.8' fill='#d3d3d3' fill-opacity='0.8' stroke='#808080' stroke-width='1'/><circle class='sa-point' cx='343.0' cy='83.2' r='6.8' fill='#D55E00' stroke-width='1'/><circle cx='491.2' cy='86.9' r='5.8' fill='#d3d3d3' fill-opacity='0.8' stroke='#808080' stroke-width='1'/><circle cx='695.4' cy='88.3' r='5.8' fill='#d3d3d3' fill-opacity='0.8' stroke='#808080' stroke-width='1'/><circle cx='474.2' cy='104.5' r='5.8' fill='#d3d3d3' 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font-size='15'>Dominated Methods</text><circle class='sa-point' cx='631.8' cy='338.0' r='6.0' fill='#D55E00'/><text class='sa-text' x='649.8' y='344.0' font-size='15'>Pareto Front</text><circle class='sa-hit' cx='522.9' cy='32.2' r='10.5' data-tip='RFImportance (on the Pareto front)&#10;Improvement over Random: 25.5%&#10;Selection time per 1k features: 38.6 s&#10;Datasets: 71' aria-label='RFImportance (on the Pareto front)&#10;Improvement over Random: 25.5%&#10;Selection time per 1k features: 38.6 s&#10;Datasets: 71'/><circle class='sa-hit' cx='480.0' cy='57.7' r='10.5' data-tip='CART (on the Pareto front)&#10;Improvement over Random: 23.5%&#10;Selection time per 1k features: 14.5 s&#10;Datasets: 71' aria-label='CART (on the Pareto front)&#10;Improvement over Random: 23.5%&#10;Selection time per 1k features: 14.5 s&#10;Datasets: 71'/><circle class='sa-hit' cx='530.8' cy='65.1' r='10.5' data-tip='MI&#10;Improvement over Random: 22.9%&#10;Selection time per 1k features: 46.3 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data-tip='LOCO&#10;Improvement over Random: 13.0%&#10;Selection time per 1k features: 6.31e+03 s&#10;Datasets: 71' aria-label='LOCO&#10;Improvement over Random: 13.0%&#10;Selection time per 1k features: 6.31e+03 s&#10;Datasets: 71'/><circle class='sa-hit' cx='810.3' cy='197.4' r='10.5' data-tip='SBE&#10;Improvement over Random: 12.3%&#10;Selection time per 1k features: 2.75e+04 s&#10;Datasets: 71' aria-label='SBE&#10;Improvement over Random: 12.3%&#10;Selection time per 1k features: 2.75e+04 s&#10;Datasets: 71'/><circle class='sa-hit' cx='102.4' cy='352.0' r='10.5' data-tip='Random (on the Pareto front)&#10;Improvement over Random: 0.0%&#10;Selection time per 1k features: 0.0026 s&#10;Datasets: 71' aria-label='Random (on the Pareto front)&#10;Improvement over Random: 0.0%&#10;Selection time per 1k features: 0.0026 s&#10;Datasets: 71'/></svg><script type='text/plain' id='sa-csv'>method,improvement,time_per_1k,n_datasets,pareto_optimal
36
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x1='665.3' x2='665.3' y1='16.2' y2='368.0'/><text class='sa-text' x='665.3' y='390.5' text-anchor='middle' font-size='15'>10<tspan dy='-7' font-size='10'>3</tspan></text><line class='sa-grid' x1='766.1' x2='766.1' y1='16.2' y2='368.0'/><text class='sa-text' x='766.1' y='390.5' text-anchor='middle' font-size='15'>10<tspan dy='-7' font-size='10'>4</tspan></text><line class='sa-grid' x1='66.9' x2='847.8' y1='352.0' y2='352.0'/><text class='sa-text' x='57.9' y='358.0' text-anchor='end' font-size='15'>0</text><line class='sa-grid' x1='66.9' x2='847.8' y1='289.4' y2='289.4'/><text class='sa-text' x='57.9' y='295.4' text-anchor='end' font-size='15'>5</text><line class='sa-grid' x1='66.9' x2='847.8' y1='226.8' y2='226.8'/><text class='sa-text' x='57.9' y='232.8' text-anchor='end' font-size='15'>10</text><line class='sa-grid' x1='66.9' x2='847.8' y1='164.2' y2='164.2'/><text class='sa-text' x='57.9' y='170.2' text-anchor='end' font-size='15'>15</text><line class='sa-grid' x1='66.9' x2='847.8' y1='101.6' y2='101.6'/><text class='sa-text' x='57.9' y='107.6' text-anchor='end' font-size='15'>20</text><line class='sa-grid' x1='66.9' x2='847.8' y1='39.0' y2='39.0'/><text class='sa-text' x='57.9' y='45.0' text-anchor='end' font-size='15'>25</text><rect class='sa-frame-line' x='66.9' y='16.2' width='780.9' height='351.8'/><text class='sa-text' x='457.4' y='420.0' text-anchor='middle' font-size='15'>Feature Selection Time (s) per 1k Features</text><text class='sa-text' transform='translate(21.0 192.1) rotate(-90)' text-anchor='middle' font-size='15'>Improvement over Random (%)</text><defs><marker id='sa-arrow' viewBox='0 0 10 10' refX='9' refY='5' markerWidth='7' markerHeight='7' orient='auto-start-reverse'><path d='M0,0 L10,5 L0,10' fill='none' stroke='#009E73' stroke-width='1.6'/></marker></defs><line x1='109.5' y1='51.9' x2='68.9' y2='18.2' stroke='#009E73' stroke-width='2.2' marker-end='url(#sa-arrow)'/><text x='82.5' y='75.9' fill='#009E73' font-size='18' font-weight='700'>optimal</text><polyline points='102.4,352.0 343.0,83.2 480.0,57.7 522.9,32.2' fill='none' stroke='#D55E00' stroke-width='3.0'/><circle class='sa-point' cx='522.9' cy='32.2' r='6.8' fill='#D55E00' stroke-width='1'/><circle class='sa-point' cx='480.0' cy='57.7' r='6.8' fill='#D55E00' stroke-width='1'/><circle cx='530.8' cy='65.1' r='5.8' fill='#d3d3d3' fill-opacity='0.8' stroke='#808080' stroke-width='1'/><circle cx='534.0' cy='81.0' r='5.8' fill='#d3d3d3' fill-opacity='0.8' stroke='#808080' stroke-width='1'/><circle cx='698.0' cy='81.7' r='5.8' fill='#d3d3d3' fill-opacity='0.8' stroke='#808080' stroke-width='1'/><circle class='sa-point' cx='343.0' cy='83.2' r='6.8' fill='#D55E00' stroke-width='1'/><circle cx='491.2' cy='86.9' r='5.8' fill='#d3d3d3' fill-opacity='0.8' stroke='#808080' stroke-width='1'/><circle cx='695.4' cy='88.3' r='5.8' fill='#d3d3d3' fill-opacity='0.8' stroke='#808080' stroke-width='1'/><circle cx='474.2' cy='104.5' r='5.8' fill='#d3d3d3' 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stroke-width='1' opacity='0.6'/><text class='sa-dim sa-halo' x='575.0' y='125.7' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='400'>MarkovBlanket</text><line class='sa-ink' x1='695.4' y1='88.3' x2='665.5' y2='55.7' stroke-width='1' opacity='0.6'/><text class='sa-dim sa-halo' x='665.5' y='55.7' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='400'>Lasso</text><line class='sa-ink' x1='474.2' y1='104.5' x2='454.7' y2='153.6' stroke-width='1' opacity='0.6'/><text class='sa-dim sa-halo' x='454.7' y='153.6' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='400'>GainRatio</text><line class='sa-ink' x1='804.2' y1='120.6' x2='786.9' y2='105.7' stroke-width='1' opacity='0.6'/><text class='sa-dim sa-halo' x='786.9' y='105.7' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='400'>(R)ReliefF</text><line class='sa-ink' x1='812.3' y1='125.7' x2='828.6' y2='140.0' stroke-width='1' opacity='0.6'/><text class='sa-dim sa-halo' x='828.6' y='140.0' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='400'>SFS</text><line class='sa-ink' x1='745.9' y1='189.2' x2='769.2' y2='174.9' stroke-width='1' opacity='0.6'/><text class='sa-dim sa-halo' x='769.2' y='174.9' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='400'>LOCO</text><line class='sa-ink' x1='810.3' y1='197.4' x2='827.3' y2='211.1' stroke-width='1' opacity='0.6'/><text class='sa-dim sa-halo' x='827.3' y='211.1' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='400'>SBE</text><line class='sa-ink' x1='102.4' y1='352.0' x2='156.2' y2='337.8' stroke-width='1' opacity='0.6'/><text class='sa-text sa-halo' x='156.2' y='337.8' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='700'>Random</text><rect class='sa-legend' x='610.8' y='296.0' width='225.0' height='60.0' rx='4'/><circle stroke='#808080' cx='631.8' 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id='sa-csv'>method,improvement,time_per_1k,n_datasets,pareto_optimal
36
  RFImportance,25.5467,38.6316,71,True
37
  CART,23.5071,14.4928,71,True
38
  MI,22.9183,46.2611,71,False
data/subsets/tasks_all/models_lightgbm/budgets_all/website_leaderboard.csv CHANGED
@@ -1,16 +1,16 @@
1
- Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Avg. rank,Win rate (%),Improvability (%),Error vs. all features,Stability,Validity,Selection time (s),Fallback rate (%),#Datasets,#Comparisons
2
- 1,RFImportance,Non-search,Tree,1313.0,1274.0,1357.0,6.08,63.7,13.4,,0.643,0.669,0.2,0.0,71,1065
3
- 2,CART,Non-search,Tree,1267.0,1234.0,1306.0,6.67,59.5,16.1,,0.422,0.586,0.0,0.0,71,1065
4
- 3,ElasticNet,Non-search,Regularization,1252.0,1215.0,1288.0,6.86,58.2,16.4,,0.447,0.76,6.1,0.0,71,1065
5
- 4,MI,Non-search,Information theory,1244.0,1214.0,1276.0,7.09,56.5,16.6,,0.647,0.785,0.4,0.0,71,1065
6
- 5,Lasso,Non-search,Regularization,1244.0,1208.0,1280.0,7.06,56.7,16.4,,0.362,0.73,1.9,0.0,71,1065
7
- 6,MarkovBlanket,Search,Backward search,1224.0,1196.0,1255.0,7.48,53.7,17.5,,0.413,0.463,0.1,0.0,71,1065
8
- 7,F-Test,Non-search,Correlation,1217.0,1183.0,1251.0,7.56,53.2,17.3,,0.679,0.846,0.0,0.0,71,1065
9
- 8,mRMR,Non-search,Information theory,1201.0,1168.0,1234.0,7.9,50.7,17.8,,0.604,0.655,0.4,3.4,71,1065
10
- 9,SFS,Search,Forward search,1192.0,1152.0,1230.0,7.96,50.3,19.5,,0.267,0.627,2166.9,43.8,71,1065
11
- 10,(R)ReliefF,Non-search,Distance,1185.0,1149.0,1222.0,8.07,49.5,18.9,,0.646,0.74,13.1,0.0,71,1065
12
- 11,SBE,Search,Backward search,1184.0,1138.0,1228.0,8.09,49.4,21.2,,0.132,0.56,2611.6,46.2,71,1065
13
- 12,GainRatio,Non-search,Information theory,1181.0,1148.0,1213.0,8.25,48.2,19.3,,0.644,0.825,0.2,0.0,71,1065
14
- 13,LOCO,Search,Leave-one-out,1158.0,1118.0,1199.0,8.35,47.5,21.6,,0.173,0.583,240.9,7.2,71,1065
15
- 14,Random,Baseline,Baseline,1000.0,962.0,1036.0,10.78,30.1,30.3,,0.001,0.5,0.0,0.0,71,1065
16
- 15,LaplacianScore,Non-search,Distance,943.0,878.0,997.0,11.8,22.8,35.1,,0.652,0.797,0.2,0.0,71,1065
 
1
+ Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Avg. rank,Win rate (%),Improvability (%),Improvement over Random (%),Error vs. all features,Stability,Validity,Selection time (s),Fallback rate (%),#Datasets,#Comparisons
2
+ 1,RFImportance,Non-search,Tree,1313.0,1274.0,1357.0,6.08,63.7,13.4,25.5,,0.643,0.669,0.2,0.0,71,1065
3
+ 2,CART,Non-search,Tree,1267.0,1234.0,1306.0,6.67,59.5,16.1,23.5,,0.422,0.586,0.0,0.0,71,1065
4
+ 3,ElasticNet,Non-search,Regularization,1252.0,1215.0,1288.0,6.86,58.2,16.4,21.6,,0.447,0.76,6.1,0.0,71,1065
5
+ 4,MI,Non-search,Information theory,1244.0,1214.0,1276.0,7.09,56.5,16.6,22.9,,0.647,0.785,0.4,0.0,71,1065
6
+ 5,Lasso,Non-search,Regularization,1244.0,1208.0,1280.0,7.06,56.7,16.4,21.1,,0.362,0.73,1.9,0.0,71,1065
7
+ 6,MarkovBlanket,Search,Backward search,1224.0,1196.0,1255.0,7.48,53.7,17.5,21.2,,0.413,0.463,0.1,0.0,71,1065
8
+ 7,F-Test,Non-search,Correlation,1217.0,1183.0,1251.0,7.56,53.2,17.3,21.5,,0.679,0.846,0.0,0.0,71,1065
9
+ 8,mRMR,Non-search,Information theory,1201.0,1168.0,1234.0,7.9,50.7,17.8,21.7,,0.604,0.655,0.4,3.4,71,1065
10
+ 9,SFS,Search,Forward search,1192.0,1152.0,1230.0,7.96,50.3,19.5,18.1,,0.267,0.627,2166.9,43.8,71,1065
11
+ 10,(R)ReliefF,Non-search,Distance,1185.0,1149.0,1222.0,8.07,49.5,18.9,18.5,,0.646,0.74,13.1,0.0,71,1065
12
+ 11,SBE,Search,Backward search,1184.0,1138.0,1228.0,8.09,49.4,21.2,12.3,,0.132,0.56,2611.6,46.2,71,1065
13
+ 12,GainRatio,Non-search,Information theory,1181.0,1148.0,1213.0,8.25,48.2,19.3,19.8,,0.644,0.825,0.2,0.0,71,1065
14
+ 13,LOCO,Search,Leave-one-out,1158.0,1118.0,1199.0,8.35,47.5,21.6,13.0,,0.173,0.583,240.9,7.2,71,1065
15
+ 14,Random,Baseline,Baseline,1000.0,962.0,1036.0,10.78,30.1,30.3,0.0,,0.001,0.5,0.0,0.0,71,1065
16
+ 15,LaplacianScore,Non-search,Distance,943.0,878.0,997.0,11.8,22.8,35.1,-23.2,,0.652,0.797,0.2,0.0,71,1065
data/subsets/tasks_all/models_linearmodel/budgets_0/leaderboard_table.html CHANGED
@@ -32,22 +32,22 @@ td.na { color:var(--muted); }
32
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33
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34
  td.shaded { font-weight:600; }
35
- </style></head><body><div class='toolbar'><span class='hint'>Click a column to sort. Hover a header for its definition. Stability and validity are shaded as in the Elo figure: darker is better.</span><button onclick="saCsv('selectarena_leaderboard.csv')">CSV</button></div><div class='wrap'><table id='sa-table'><thead><tr><th class='num' title='Rank by Elo.'>#</th><th class=''>Method</th><th class='' title='Taxonomy of the paper (Appendix A). Search methods evaluate many feature subsets with the model (forward, backward, leave-one-out); non-search methods use a proxy instead (correlation, distance, information theory, tree, regularization).'>Type</th><th class='num' title='Bradley-Terry Elo from pairwise matches within each dataset, budget and downstream model. Random = 1000. +/βˆ’ give the 95% bootstrap interval.'>Elo ↑</th><th class='num' title='Mean rank of the downstream error.'>Avg. rank ↓</th><th class='num' title='Mean relative gap (error βˆ’ best error) / error to the best method, in %.'>Improvability ↓</th><th class='num' title='Agreement of the selected features across bootstrap resamples (Nogueira et al., 2018).'>Stability ↑</th><th class='num' title='Share of the budget filled with original features when as many noise features are added.'>Validity ↑</th><th class='num' title='Median wall-clock time of the selection.'>Time (s) ↓</th><th class='num' title='Share of runs where the method ran out of time and random features filled the budget.'>Fallback (%)</th></tr></thead><tbody><tr><td class='num' data-sort='1'><span class='medal' role='img' aria-label='gold medal'>πŸ₯‡</span>1</td><td class='method' data-sort='RFImportance'>RFImportance</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1352.0'>1352<span class='sub'>+61 / βˆ’49</span></td><td class='num' data-sort='6.54'>6.54</td><td class='num' data-sort='17.7'>17.7</td><td class='num shaded' data-sort='0.628' style='background:rgba(0,114,178,0.50)'>0.628</td><td class='num shaded' data-sort='0.805' style='background:rgba(213,94,0,0.62)'>0.805</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='2'><span class='medal' role='img' aria-label='silver medal'>πŸ₯ˆ</span>2</td><td class='method' data-sort='F-Test'>F-Test</td><td class='' data-sort='Correlation'><span class='pill cat-non-search'>Correlation</span><span class='sub'>non-search</span></td><td class='num' data-sort='1350.0'>1350<span class='sub'>+48 / βˆ’44</span></td><td class='num' data-sort='6.6'>6.60</td><td class='num' data-sort='19.5'>19.5</td><td class='num shaded' data-sort='0.725' style='background:rgba(0,114,178,0.57)'>0.725</td><td class='num shaded' data-sort='0.952' style='background:rgba(213,94,0,0.72)'>0.952</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='3'><span class='medal' role='img' aria-label='bronze medal'>πŸ₯‰</span>3</td><td class='method' data-sort='CART'>CART</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1344.0'>1344<span class='sub'>+62 / βˆ’56</span></td><td class='num' data-sort='6.66'>6.66</td><td class='num' data-sort='19.8'>19.8</td><td class='num shaded' data-sort='0.484' style='background:rgba(0,114,178,0.40)'>0.484</td><td class='num shaded' data-sort='0.731' style='background:rgba(213,94,0,0.57)'>0.731</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='4'><span class='medal'></span>4</td><td class='method' data-sort='ElasticNet'>ElasticNet</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1327.0'>1327<span class='sub'>+54 / βˆ’48</span></td><td class='num' data-sort='6.35'>6.35</td><td class='num' data-sort='20.5'>20.5</td><td class='num shaded' data-sort='0.509' style='background:rgba(0,114,178,0.42)'>0.509</td><td class='num shaded' data-sort='0.915' style='background:rgba(213,94,0,0.69)'>0.915</td><td class='num' data-sort='6.0'>6.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='5'><span class='medal'></span>5</td><td class='method' data-sort='MI'>MI</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1324.0'>1324<span class='sub'>+44 / βˆ’43</span></td><td class='num' data-sort='6.75'>6.75</td><td class='num' data-sort='20.7'>20.7</td><td class='num shaded' data-sort='0.645' style='background:rgba(0,114,178,0.51)'>0.645</td><td class='num shaded' data-sort='0.898' style='background:rgba(213,94,0,0.68)'>0.898</td><td class='num' data-sort='0.4'>0.4</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='6'><span class='medal'></span>6</td><td class='method' data-sort='MarkovBlanket'>MarkovBlanket</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1323.0'>1323<span class='sub'>+44 / βˆ’41</span></td><td class='num' data-sort='6.9'>6.90</td><td class='num' data-sort='20.1'>20.1</td><td class='num shaded' data-sort='0.418' style='background:rgba(0,114,178,0.36)'>0.418</td><td class='num shaded' data-sort='0.465' style='background:rgba(213,94,0,0.39)'>0.465</td><td class='num' data-sort='0.1'>0.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='7'><span class='medal'></span>7</td><td class='method' data-sort='mRMR'>mRMR</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1301.0'>1301<span class='sub'>+45 / βˆ’48</span></td><td class='num' data-sort='7.44'>7.44</td><td class='num' data-sort='20.4'>20.4</td><td class='num shaded' data-sort='0.528' style='background:rgba(0,114,178,0.43)'>0.528</td><td class='num shaded' data-sort='0.779' style='background:rgba(213,94,0,0.60)'>0.779</td><td class='num' data-sort='0.3'>0.3</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='8'><span class='medal'></span>8</td><td class='method' data-sort='SFS'>SFS</td><td class='' data-sort='Forward search'><span class='pill cat-search'>Forward search</span><span class='sub'>search</span></td><td class='num' data-sort='1295.0'>1295<span class='sub'>+51 / βˆ’52</span></td><td class='num' data-sort='7.39'>7.39</td><td class='num' data-sort='22.7'>22.7</td><td class='num shaded' data-sort='0.368' style='background:rgba(0,114,178,0.33)'>0.368</td><td class='num shaded' data-sort='0.75' style='background:rgba(213,94,0,0.58)'>0.750</td><td class='num' data-sort='970.7'>970.7</td><td class='num' data-sort='29.1'>29.1</td></tr><tr><td class='num' data-sort='9'><span class='medal'></span>9</td><td class='method' data-sort='Lasso'>Lasso</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1291.0'>1291<span class='sub'>+49 / βˆ’47</span></td><td class='num' data-sort='7.02'>7.02</td><td class='num' data-sort='22.1'>22.1</td><td class='num shaded' data-sort='0.421' style='background:rgba(0,114,178,0.36)'>0.421</td><td class='num shaded' data-sort='0.89' style='background:rgba(213,94,0,0.68)'>0.890</td><td class='num' data-sort='1.9'>1.9</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='10'><span class='medal'></span>10</td><td class='method' data-sort='GainRatio'>GainRatio</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1274.0'>1274<span class='sub'>+44 / βˆ’41</span></td><td class='num' data-sort='7.81'>7.81</td><td class='num' data-sort='24.0'>24.0</td><td class='num shaded' data-sort='0.679' style='background:rgba(0,114,178,0.53)'>0.679</td><td class='num shaded' data-sort='0.942' style='background:rgba(213,94,0,0.71)'>0.942</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='11'><span class='medal'></span>11</td><td class='method' data-sort='(R)ReliefF'>(R)ReliefF</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='1226.0'>1226<span class='sub'>+56 / βˆ’57</span></td><td class='num' data-sort='8.6'>8.60</td><td class='num' data-sort='25.1'>25.1</td><td class='num shaded' data-sort='0.642' style='background:rgba(0,114,178,0.51)'>0.642</td><td class='num shaded' data-sort='0.873' style='background:rgba(213,94,0,0.66)'>0.873</td><td class='num' data-sort='13.7'>13.7</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='12'><span class='medal'></span>12</td><td class='method' data-sort='LOCO'>LOCO</td><td class='' data-sort='Leave-one-out'><span class='pill cat-search'>Leave-one-out</span><span class='sub'>search</span></td><td class='num' data-sort='1197.0'>1197<span class='sub'>+45 / βˆ’45</span></td><td class='num' data-sort='8.73'>8.73</td><td class='num' data-sort='27.7'>27.7</td><td class='num shaded' data-sort='0.299' style='background:rgba(0,114,178,0.28)'>0.299</td><td class='num shaded' data-sort='0.665' style='background:rgba(213,94,0,0.53)'>0.665</td><td class='num' data-sort='245.6'>245.6</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='13'><span class='medal'></span>13</td><td class='method' data-sort='SBE'>SBE</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1168.0'>1168<span class='sub'>+51 / βˆ’57</span></td><td class='num' data-sort='9.36'>9.36</td><td class='num' data-sort='30.0'>30.0</td><td class='num shaded' data-sort='0.195' style='background:rgba(0,114,178,0.21)'>0.195</td><td class='num shaded' data-sort='0.621' style='background:rgba(213,94,0,0.50)'>0.621</td><td class='num' data-sort='3600.1'>3,600.1</td><td class='num' data-sort='49.3'>49.3</td></tr><tr><td class='num' data-sort='14'><span class='medal'></span>14</td><td class='method' data-sort='Random'>Random</td><td class='' data-sort='Baseline'><span class='pill cat-baseline'>Baseline</span></td><td class='num' data-sort='1000.0'>1000<span class='sub'>+54 / βˆ’62</span></td><td class='num' data-sort='11.53'>11.53</td><td class='num' data-sort='40.2'>40.2</td><td class='num shaded' data-sort='-0.001' style='background:rgba(0,114,178,0.08)'>-0.001</td><td class='num shaded' data-sort='0.493' style='background:rgba(213,94,0,0.41)'>0.493</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='15'><span class='medal'></span>15</td><td class='method' data-sort='LaplacianScore'>LaplacianScore</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='973.0'>973<span class='sub'>+68 / βˆ’83</span></td><td class='num' data-sort='12.31'>12.31</td><td class='num' data-sort='42.8'>42.8</td><td class='num shaded' data-sort='0.588' style='background:rgba(0,114,178,0.47)'>0.588</td><td class='num shaded' data-sort='0.847' style='background:rgba(213,94,0,0.65)'>0.847</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr></tbody></table></div><script type='text/plain' id='sa-csv'>Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Avg. rank,Win rate (%),Improvability (%),Error vs. all features,Stability,Validity,Selection time (s),Fallback rate (%),#Datasets,#Comparisons
36
- 1,RFImportance,Non-search,Tree,1352.0,1303.0,1413.0,6.54,60.4,17.7,,0.628,0.805,0.2,0.0,71,213
37
- 2,F-Test,Non-search,Correlation,1350.0,1306.0,1398.0,6.6,60.0,19.5,,0.725,0.952,0.0,0.0,71,213
38
- 3,CART,Non-search,Tree,1344.0,1288.0,1406.0,6.66,59.6,19.8,,0.484,0.731,0.0,0.0,71,213
39
- 4,ElasticNet,Non-search,Regularization,1327.0,1279.0,1381.0,6.35,61.8,20.5,,0.509,0.915,6.0,0.0,71,213
40
- 5,MI,Non-search,Information theory,1324.0,1281.0,1368.0,6.75,58.9,20.7,,0.645,0.898,0.4,0.0,71,213
41
- 6,MarkovBlanket,Search,Backward search,1323.0,1282.0,1367.0,6.9,57.8,20.1,,0.418,0.465,0.1,0.0,71,213
42
- 7,mRMR,Non-search,Information theory,1301.0,1253.0,1346.0,7.44,54.0,20.4,,0.528,0.779,0.3,0.0,71,213
43
- 8,SFS,Search,Forward search,1295.0,1243.0,1346.0,7.39,54.4,22.7,,0.368,0.75,970.7,29.1,71,213
44
- 9,Lasso,Non-search,Regularization,1291.0,1244.0,1340.0,7.02,57.0,22.1,,0.421,0.89,1.9,0.0,71,213
45
- 10,GainRatio,Non-search,Information theory,1274.0,1233.0,1318.0,7.81,51.3,24.0,,0.679,0.942,0.2,0.0,71,213
46
- 11,(R)ReliefF,Non-search,Distance,1226.0,1169.0,1282.0,8.6,45.7,25.1,,0.642,0.873,13.7,0.0,71,213
47
- 12,LOCO,Search,Leave-one-out,1197.0,1152.0,1242.0,8.73,44.8,27.7,,0.299,0.665,245.6,0.0,71,213
48
- 13,SBE,Search,Backward search,1168.0,1111.0,1219.0,9.36,40.3,30.0,,0.195,0.621,3600.1,49.3,71,213
49
- 14,Random,Baseline,Baseline,1000.0,938.0,1054.0,11.53,24.8,40.2,,-0.001,0.493,0.0,0.0,71,213
50
- 15,LaplacianScore,Non-search,Distance,973.0,890.0,1041.0,12.31,19.2,42.8,,0.588,0.847,0.2,0.0,71,213
51
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+ </style></head><body><div class='toolbar'><span class='hint'>Click a column to sort. Hover a header for its definition. Stability and validity are shaded as in the Elo figure: darker is better.</span><button onclick="saCsv('selectarena_leaderboard.csv')">CSV</button></div><div class='wrap'><table id='sa-table'><thead><tr><th class='num' title='Rank by Elo.'>#</th><th class=''>Method</th><th class='' title='Taxonomy of the paper (Appendix A). Search methods evaluate many feature subsets with the model (forward, backward, leave-one-out); non-search methods use a proxy instead (correlation, distance, information theory, tree, regularization).'>Type</th><th class='num' title='Bradley-Terry Elo from pairwise matches within each dataset, budget and downstream model. Random = 1000. +/βˆ’ give the 95% bootstrap interval.'>Elo ↑</th><th class='num' title='Mean reduction of the downstream error compared with random selection on the same dataset, in % (as in the Pareto figure; Random is 0).'>Improvement over Random ↑</th><th class='num' title='Agreement of the selected features across bootstrap resamples (Nogueira et al., 2018).'>Stability ↑</th><th class='num' title='Share of the budget filled with original features when as many noise features are added.'>Validity ↑</th><th class='num' title='Median wall-clock time of the selection.'>Time (s) ↓</th><th class='num' title='Share of runs where the method ran out of time and random features filled the budget.'>Fallback (%)</th></tr></thead><tbody><tr><td class='num' data-sort='1'><span class='medal' role='img' aria-label='gold medal'>πŸ₯‡</span>1</td><td class='method' data-sort='RFImportance'>RFImportance</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1352.0'>1352<span class='sub'>+61 / βˆ’49</span></td><td class='num' data-sort='28.3'>28.3</td><td class='num shaded' data-sort='0.628' style='background:rgba(0,114,178,0.50)'>0.628</td><td class='num shaded' data-sort='0.805' style='background:rgba(213,94,0,0.62)'>0.805</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='2'><span class='medal' role='img' aria-label='silver medal'>πŸ₯ˆ</span>2</td><td class='method' data-sort='F-Test'>F-Test</td><td class='' data-sort='Correlation'><span class='pill cat-non-search'>Correlation</span><span class='sub'>non-search</span></td><td class='num' data-sort='1350.0'>1350<span class='sub'>+48 / βˆ’44</span></td><td class='num' data-sort='28.8'>28.8</td><td class='num shaded' data-sort='0.725' style='background:rgba(0,114,178,0.57)'>0.725</td><td class='num shaded' data-sort='0.952' style='background:rgba(213,94,0,0.72)'>0.952</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='3'><span class='medal' role='img' aria-label='bronze medal'>πŸ₯‰</span>3</td><td class='method' data-sort='CART'>CART</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1344.0'>1344<span class='sub'>+62 / βˆ’56</span></td><td class='num' data-sort='27.0'>27.0</td><td class='num shaded' data-sort='0.484' style='background:rgba(0,114,178,0.40)'>0.484</td><td class='num shaded' data-sort='0.731' style='background:rgba(213,94,0,0.57)'>0.731</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='4'><span class='medal'></span>4</td><td class='method' data-sort='ElasticNet'>ElasticNet</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1327.0'>1327<span class='sub'>+54 / βˆ’48</span></td><td class='num' data-sort='26.2'>26.2</td><td class='num shaded' data-sort='0.509' style='background:rgba(0,114,178,0.42)'>0.509</td><td class='num shaded' data-sort='0.915' style='background:rgba(213,94,0,0.69)'>0.915</td><td class='num' data-sort='6.0'>6.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='5'><span class='medal'></span>5</td><td class='method' data-sort='MI'>MI</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1324.0'>1324<span class='sub'>+44 / βˆ’43</span></td><td class='num' data-sort='28.0'>28.0</td><td class='num shaded' data-sort='0.645' style='background:rgba(0,114,178,0.51)'>0.645</td><td class='num shaded' data-sort='0.898' style='background:rgba(213,94,0,0.68)'>0.898</td><td class='num' data-sort='0.4'>0.4</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='6'><span class='medal'></span>6</td><td class='method' data-sort='MarkovBlanket'>MarkovBlanket</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1323.0'>1323<span class='sub'>+44 / βˆ’41</span></td><td class='num' data-sort='25.4'>25.4</td><td class='num shaded' data-sort='0.418' style='background:rgba(0,114,178,0.36)'>0.418</td><td class='num shaded' data-sort='0.465' style='background:rgba(213,94,0,0.39)'>0.465</td><td class='num' data-sort='0.1'>0.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='7'><span class='medal'></span>7</td><td class='method' data-sort='mRMR'>mRMR</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1301.0'>1301<span class='sub'>+45 / βˆ’48</span></td><td class='num' data-sort='26.3'>26.3</td><td class='num shaded' data-sort='0.528' style='background:rgba(0,114,178,0.43)'>0.528</td><td class='num shaded' data-sort='0.779' style='background:rgba(213,94,0,0.60)'>0.779</td><td class='num' data-sort='0.3'>0.3</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='8'><span class='medal'></span>8</td><td class='method' data-sort='SFS'>SFS</td><td class='' data-sort='Forward search'><span class='pill cat-search'>Forward search</span><span class='sub'>search</span></td><td class='num' data-sort='1295.0'>1295<span class='sub'>+51 / βˆ’52</span></td><td class='num' data-sort='23.3'>23.3</td><td class='num shaded' data-sort='0.368' style='background:rgba(0,114,178,0.33)'>0.368</td><td class='num shaded' data-sort='0.75' style='background:rgba(213,94,0,0.58)'>0.750</td><td class='num' data-sort='970.7'>970.7</td><td class='num' data-sort='29.1'>29.1</td></tr><tr><td class='num' data-sort='9'><span class='medal'></span>9</td><td class='method' data-sort='Lasso'>Lasso</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1291.0'>1291<span class='sub'>+49 / βˆ’47</span></td><td class='num' data-sort='24.5'>24.5</td><td class='num shaded' data-sort='0.421' style='background:rgba(0,114,178,0.36)'>0.421</td><td class='num shaded' data-sort='0.89' style='background:rgba(213,94,0,0.68)'>0.890</td><td class='num' data-sort='1.9'>1.9</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='10'><span class='medal'></span>10</td><td class='method' data-sort='GainRatio'>GainRatio</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1274.0'>1274<span class='sub'>+44 / βˆ’41</span></td><td class='num' data-sort='22.5'>22.5</td><td class='num shaded' data-sort='0.679' style='background:rgba(0,114,178,0.53)'>0.679</td><td class='num shaded' data-sort='0.942' style='background:rgba(213,94,0,0.71)'>0.942</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='11'><span class='medal'></span>11</td><td class='method' data-sort='(R)ReliefF'>(R)ReliefF</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='1226.0'>1226<span class='sub'>+56 / βˆ’57</span></td><td class='num' data-sort='18.0'>18.0</td><td class='num shaded' data-sort='0.642' style='background:rgba(0,114,178,0.51)'>0.642</td><td class='num shaded' data-sort='0.873' style='background:rgba(213,94,0,0.66)'>0.873</td><td class='num' data-sort='13.7'>13.7</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='12'><span class='medal'></span>12</td><td class='method' data-sort='LOCO'>LOCO</td><td class='' data-sort='Leave-one-out'><span class='pill cat-search'>Leave-one-out</span><span class='sub'>search</span></td><td class='num' data-sort='1197.0'>1197<span class='sub'>+45 / βˆ’45</span></td><td class='num' data-sort='15.3'>15.3</td><td class='num shaded' data-sort='0.299' style='background:rgba(0,114,178,0.28)'>0.299</td><td class='num shaded' data-sort='0.665' style='background:rgba(213,94,0,0.53)'>0.665</td><td class='num' data-sort='245.6'>245.6</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='13'><span class='medal'></span>13</td><td class='method' data-sort='SBE'>SBE</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1168.0'>1168<span class='sub'>+51 / βˆ’57</span></td><td class='num' data-sort='8.8'>8.8</td><td class='num shaded' data-sort='0.195' style='background:rgba(0,114,178,0.21)'>0.195</td><td class='num shaded' data-sort='0.621' style='background:rgba(213,94,0,0.50)'>0.621</td><td class='num' data-sort='3600.1'>3,600.1</td><td class='num' data-sort='49.3'>49.3</td></tr><tr><td class='num' data-sort='14'><span class='medal'></span>14</td><td class='method' data-sort='Random'>Random</td><td class='' data-sort='Baseline'><span class='pill cat-baseline'>Baseline</span></td><td class='num' data-sort='1000.0'>1000<span class='sub'>+54 / βˆ’62</span></td><td class='num' data-sort='0.0'>0.0</td><td class='num shaded' data-sort='-0.001' style='background:rgba(0,114,178,0.08)'>-0.001</td><td class='num shaded' data-sort='0.493' style='background:rgba(213,94,0,0.41)'>0.493</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='15'><span class='medal'></span>15</td><td class='method' data-sort='LaplacianScore'>LaplacianScore</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='973.0'>973<span class='sub'>+68 / βˆ’83</span></td><td class='num' data-sort='-12.4'>-12.4</td><td class='num shaded' data-sort='0.588' style='background:rgba(0,114,178,0.47)'>0.588</td><td class='num shaded' data-sort='0.847' style='background:rgba(213,94,0,0.65)'>0.847</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr></tbody></table></div><script type='text/plain' id='sa-csv'>Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Improvement over Random (%),Stability,Validity,Selection time (s),Fallback rate (%)
36
+ 1,RFImportance,Non-search,Tree,1352.0,1303.0,1413.0,28.3,0.628,0.805,0.2,0.0
37
+ 2,F-Test,Non-search,Correlation,1350.0,1306.0,1398.0,28.8,0.725,0.952,0.0,0.0
38
+ 3,CART,Non-search,Tree,1344.0,1288.0,1406.0,27.0,0.484,0.731,0.0,0.0
39
+ 4,ElasticNet,Non-search,Regularization,1327.0,1279.0,1381.0,26.2,0.509,0.915,6.0,0.0
40
+ 5,MI,Non-search,Information theory,1324.0,1281.0,1368.0,28.0,0.645,0.898,0.4,0.0
41
+ 6,MarkovBlanket,Search,Backward search,1323.0,1282.0,1367.0,25.4,0.418,0.465,0.1,0.0
42
+ 7,mRMR,Non-search,Information theory,1301.0,1253.0,1346.0,26.3,0.528,0.779,0.3,0.0
43
+ 8,SFS,Search,Forward search,1295.0,1243.0,1346.0,23.3,0.368,0.75,970.7,29.1
44
+ 9,Lasso,Non-search,Regularization,1291.0,1244.0,1340.0,24.5,0.421,0.89,1.9,0.0
45
+ 10,GainRatio,Non-search,Information theory,1274.0,1233.0,1318.0,22.5,0.679,0.942,0.2,0.0
46
+ 11,(R)ReliefF,Non-search,Distance,1226.0,1169.0,1282.0,18.0,0.642,0.873,13.7,0.0
47
+ 12,LOCO,Search,Leave-one-out,1197.0,1152.0,1242.0,15.3,0.299,0.665,245.6,0.0
48
+ 13,SBE,Search,Backward search,1168.0,1111.0,1219.0,8.8,0.195,0.621,3600.1,49.3
49
+ 14,Random,Baseline,Baseline,1000.0,938.0,1054.0,0.0,-0.001,0.493,0.0,0.0
50
+ 15,LaplacianScore,Non-search,Distance,973.0,890.0,1041.0,-12.4,0.588,0.847,0.2,0.0
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data/subsets/tasks_all/models_linearmodel/budgets_0/website_leaderboard.csv CHANGED
@@ -1,16 +1,16 @@
1
- Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Avg. rank,Win rate (%),Improvability (%),Error vs. all features,Stability,Validity,Selection time (s),Fallback rate (%),#Datasets,#Comparisons
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- 3,CART,Non-search,Tree,1344.0,1288.0,1406.0,6.66,59.6,19.8,,0.484,0.731,0.0,0.0,71,213
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- 4,ElasticNet,Non-search,Regularization,1327.0,1279.0,1381.0,6.35,61.8,20.5,,0.509,0.915,6.0,0.0,71,213
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- 5,MI,Non-search,Information theory,1324.0,1281.0,1368.0,6.75,58.9,20.7,,0.645,0.898,0.4,0.0,71,213
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- 7,mRMR,Non-search,Information theory,1301.0,1253.0,1346.0,7.44,54.0,20.4,,0.528,0.779,0.3,0.0,71,213
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- 9,Lasso,Non-search,Regularization,1291.0,1244.0,1340.0,7.02,57.0,22.1,,0.421,0.89,1.9,0.0,71,213
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- 10,GainRatio,Non-search,Information theory,1274.0,1233.0,1318.0,7.81,51.3,24.0,,0.679,0.942,0.2,0.0,71,213
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- 11,(R)ReliefF,Non-search,Distance,1226.0,1169.0,1282.0,8.6,45.7,25.1,,0.642,0.873,13.7,0.0,71,213
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- 12,LOCO,Search,Leave-one-out,1197.0,1152.0,1242.0,8.73,44.8,27.7,,0.299,0.665,245.6,0.0,71,213
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- 13,SBE,Search,Backward search,1168.0,1111.0,1219.0,9.36,40.3,30.0,,0.195,0.621,3600.1,49.3,71,213
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16
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1
+ Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Avg. rank,Win rate (%),Improvability (%),Improvement over Random (%),Error vs. all features,Stability,Validity,Selection time (s),Fallback rate (%),#Datasets,#Comparisons
2
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11
+ 10,GainRatio,Non-search,Information theory,1274.0,1233.0,1318.0,7.81,51.3,24.0,22.5,,0.679,0.942,0.2,0.0,71,213
12
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- </style></head><body><div class='toolbar'><span class='hint'>Click a column to sort. Hover a header for its definition. Stability and validity are shaded as in the Elo figure: darker is better.</span><button onclick="saCsv('selectarena_leaderboard.csv')">CSV</button></div><div class='wrap'><table id='sa-table'><thead><tr><th class='num' title='Rank by Elo.'>#</th><th class=''>Method</th><th class='' title='Taxonomy of the paper (Appendix A). Search methods evaluate many feature subsets with the model (forward, backward, leave-one-out); non-search methods use a proxy instead (correlation, distance, information theory, tree, regularization).'>Type</th><th class='num' title='Bradley-Terry Elo from pairwise matches within each dataset, budget and downstream model. Random = 1000. +/βˆ’ give the 95% bootstrap interval.'>Elo ↑</th><th class='num' title='Mean rank of the downstream error.'>Avg. rank ↓</th><th class='num' title='Mean relative gap (error βˆ’ best error) / error to the best method, in %.'>Improvability ↓</th><th class='num' title='Agreement of the selected features across bootstrap resamples (Nogueira et al., 2018).'>Stability ↑</th><th class='num' title='Share of the budget filled with original features when as many noise features are added.'>Validity ↑</th><th class='num' title='Median wall-clock time of the selection.'>Time (s) ↓</th><th class='num' title='Share of runs where the method ran out of time and random features filled the budget.'>Fallback (%)</th></tr></thead><tbody><tr><td class='num' data-sort='1'><span class='medal' role='img' aria-label='gold medal'>πŸ₯‡</span>1</td><td class='method' data-sort='ElasticNet'>ElasticNet</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1405.0'>1405<span class='sub'>+59 / βˆ’56</span></td><td class='num' data-sort='5.71'>5.71</td><td class='num' data-sort='15.8'>15.8</td><td class='num shaded' data-sort='0.519' style='background:rgba(0,114,178,0.43)'>0.519</td><td class='num shaded' data-sort='0.873' style='background:rgba(213,94,0,0.66)'>0.873</td><td class='num' data-sort='6.3'>6.3</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='2'><span class='medal' role='img' aria-label='silver medal'>πŸ₯ˆ</span>2</td><td class='method' data-sort='Lasso'>Lasso</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1377.0'>1377<span class='sub'>+57 / βˆ’56</span></td><td class='num' data-sort='5.96'>5.96</td><td class='num' data-sort='15.2'>15.2</td><td class='num shaded' data-sort='0.422' style='background:rgba(0,114,178,0.36)'>0.422</td><td class='num shaded' data-sort='0.825' style='background:rgba(213,94,0,0.63)'>0.825</td><td class='num' data-sort='2.0'>2.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='3'><span class='medal' role='img' aria-label='bronze medal'>πŸ₯‰</span>3</td><td class='method' data-sort='RFImportance'>RFImportance</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1365.0'>1365<span class='sub'>+61 / βˆ’51</span></td><td class='num' data-sort='6.6'>6.60</td><td class='num' data-sort='16.0'>16.0</td><td class='num shaded' data-sort='0.653' style='background:rgba(0,114,178,0.52)'>0.653</td><td class='num shaded' data-sort='0.741' style='background:rgba(213,94,0,0.58)'>0.741</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='4'><span class='medal'></span>4</td><td class='method' data-sort='MI'>MI</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1342.0'>1342<span class='sub'>+52 / βˆ’45</span></td><td class='num' data-sort='6.59'>6.59</td><td class='num' data-sort='17.7'>17.7</td><td class='num shaded' data-sort='0.673' style='background:rgba(0,114,178,0.53)'>0.673</td><td class='num shaded' data-sort='0.863' style='background:rgba(213,94,0,0.66)'>0.863</td><td class='num' data-sort='0.4'>0.4</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='5'><span class='medal'></span>5</td><td class='method' data-sort='F-Test'>F-Test</td><td class='' data-sort='Correlation'><span class='pill cat-non-search'>Correlation</span><span class='sub'>non-search</span></td><td class='num' data-sort='1326.0'>1326<span class='sub'>+43 / βˆ’46</span></td><td class='num' data-sort='6.86'>6.86</td><td class='num' data-sort='19.4'>19.4</td><td class='num shaded' data-sort='0.734' style='background:rgba(0,114,178,0.57)'>0.734</td><td class='num shaded' data-sort='0.932' style='background:rgba(213,94,0,0.70)'>0.932</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='6'><span class='medal'></span>6</td><td class='method' data-sort='CART'>CART</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1318.0'>1318<span class='sub'>+53 / βˆ’49</span></td><td class='num' data-sort='7.01'>7.01</td><td class='num' data-sort='20.0'>20.0</td><td class='num shaded' data-sort='0.456' style='background:rgba(0,114,178,0.39)'>0.456</td><td class='num shaded' data-sort='0.638' style='background:rgba(213,94,0,0.51)'>0.638</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='7'><span class='medal'></span>7</td><td class='method' data-sort='MarkovBlanket'>MarkovBlanket</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1301.0'>1301<span class='sub'>+46 / βˆ’39</span></td><td class='num' data-sort='7.49'>7.49</td><td class='num' data-sort='21.9'>21.9</td><td class='num shaded' data-sort='0.396' style='background:rgba(0,114,178,0.35)'>0.396</td><td class='num shaded' data-sort='0.467' style='background:rgba(213,94,0,0.39)'>0.467</td><td class='num' data-sort='0.1'>0.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='8'><span class='medal'></span>8</td><td class='method' data-sort='mRMR'>mRMR</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1296.0'>1296<span class='sub'>+45 / βˆ’44</span></td><td class='num' data-sort='7.46'>7.46</td><td class='num' data-sort='20.6'>20.6</td><td class='num shaded' data-sort='0.578' style='background:rgba(0,114,178,0.47)'>0.578</td><td class='num shaded' data-sort='0.712' style='background:rgba(213,94,0,0.56)'>0.712</td><td class='num' data-sort='0.3'>0.3</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='9'><span class='medal'></span>9</td><td class='method' data-sort='GainRatio'>GainRatio</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1280.0'>1280<span class='sub'>+45 / βˆ’42</span></td><td class='num' data-sort='7.86'>7.86</td><td class='num' data-sort='23.5'>23.5</td><td class='num shaded' data-sort='0.681' style='background:rgba(0,114,178,0.54)'>0.681</td><td class='num shaded' data-sort='0.915' style='background:rgba(213,94,0,0.69)'>0.915</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='10'><span class='medal'></span>10</td><td class='method' data-sort='SFS'>SFS</td><td class='' data-sort='Forward search'><span class='pill cat-search'>Forward search</span><span class='sub'>search</span></td><td class='num' data-sort='1267.0'>1267<span class='sub'>+51 / βˆ’49</span></td><td class='num' data-sort='7.86'>7.86</td><td class='num' data-sort='22.4'>22.4</td><td class='num shaded' data-sort='0.278' style='background:rgba(0,114,178,0.27)'>0.278</td><td class='num shaded' data-sort='0.664' style='background:rgba(213,94,0,0.52)'>0.664</td><td class='num' data-sort='1791.6'>1,791.6</td><td class='num' data-sort='43.7'>43.7</td></tr><tr><td class='num' data-sort='11'><span class='medal'></span>11</td><td class='method' data-sort='(R)ReliefF'>(R)ReliefF</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='1216.0'>1216<span class='sub'>+48 / βˆ’46</span></td><td class='num' data-sort='9.07'>9.07</td><td class='num' data-sort='23.2'>23.2</td><td class='num shaded' data-sort='0.647' style='background:rgba(0,114,178,0.51)'>0.647</td><td class='num shaded' data-sort='0.808' style='background:rgba(213,94,0,0.62)'>0.808</td><td class='num' data-sort='13.0'>13.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='12'><span class='medal'></span>12</td><td class='method' data-sort='LOCO'>LOCO</td><td class='' data-sort='Leave-one-out'><span class='pill cat-search'>Leave-one-out</span><span class='sub'>search</span></td><td class='num' data-sort='1199.0'>1199<span class='sub'>+46 / βˆ’46</span></td><td class='num' data-sort='8.97'>8.97</td><td class='num' data-sort='27.4'>27.4</td><td class='num shaded' data-sort='0.22' style='background:rgba(0,114,178,0.23)'>0.220</td><td class='num shaded' data-sort='0.613' style='background:rgba(213,94,0,0.49)'>0.613</td><td class='num' data-sort='235.0'>235.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='13'><span class='medal'></span>13</td><td class='method' data-sort='SBE'>SBE</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1184.0'>1184<span class='sub'>+50 / βˆ’53</span></td><td class='num' data-sort='9.08'>9.08</td><td class='num' data-sort='29.2'>29.2</td><td class='num shaded' data-sort='0.175' style='background:rgba(0,114,178,0.20)'>0.175</td><td class='num shaded' data-sort='0.578' style='background:rgba(213,94,0,0.47)'>0.578</td><td class='num' data-sort='3391.5'>3,391.5</td><td class='num' data-sort='49.3'>49.3</td></tr><tr><td class='num' data-sort='14'><span class='medal'></span>14</td><td class='method' data-sort='LaplacianScore'>LaplacianScore</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='1026.0'>1026<span class='sub'>+56 / βˆ’73</span></td><td class='num' data-sort='11.83'>11.83</td><td class='num' data-sort='40.2'>40.2</td><td class='num shaded' data-sort='0.644' style='background:rgba(0,114,178,0.51)'>0.644</td><td class='num shaded' data-sort='0.85' style='background:rgba(213,94,0,0.65)'>0.850</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='15'><span class='medal'></span>15</td><td class='method' data-sort='Random'>Random</td><td class='' data-sort='Baseline'><span class='pill cat-baseline'>Baseline</span></td><td class='num' data-sort='1000.0'>1000<span class='sub'>+53 / βˆ’60</span></td><td class='num' data-sort='11.66'>11.66</td><td class='num' data-sort='37.5'>37.5</td><td class='num shaded' data-sort='0.001' style='background:rgba(0,114,178,0.08)'>0.001</td><td class='num shaded' data-sort='0.499' style='background:rgba(213,94,0,0.41)'>0.499</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr></tbody></table></div><script type='text/plain' id='sa-csv'>Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Avg. rank,Win rate (%),Improvability (%),Error vs. all features,Stability,Validity,Selection time (s),Fallback rate (%),#Datasets,#Comparisons
36
- 1,ElasticNet,Non-search,Regularization,1405.0,1349.0,1464.0,5.71,66.4,15.8,,0.519,0.873,6.3,0.0,71,213
37
- 2,Lasso,Non-search,Regularization,1377.0,1321.0,1434.0,5.96,64.6,15.2,,0.422,0.825,2.0,0.0,71,213
38
- 3,RFImportance,Non-search,Tree,1365.0,1314.0,1426.0,6.6,60.0,16.0,,0.653,0.741,0.2,0.0,71,213
39
- 4,MI,Non-search,Information theory,1342.0,1297.0,1394.0,6.59,60.1,17.7,,0.673,0.863,0.4,0.0,71,213
40
- 5,F-Test,Non-search,Correlation,1326.0,1280.0,1369.0,6.86,58.1,19.4,,0.734,0.932,0.0,0.0,71,213
41
- 6,CART,Non-search,Tree,1318.0,1269.0,1371.0,7.01,57.1,20.0,,0.456,0.638,0.0,0.0,71,213
42
- 7,MarkovBlanket,Search,Backward search,1301.0,1262.0,1347.0,7.49,53.7,21.9,,0.396,0.467,0.1,0.0,71,213
43
- 8,mRMR,Non-search,Information theory,1296.0,1252.0,1341.0,7.46,53.9,20.6,,0.578,0.712,0.3,0.0,71,213
44
- 9,GainRatio,Non-search,Information theory,1280.0,1238.0,1325.0,7.86,51.0,23.5,,0.681,0.915,0.2,0.0,71,213
45
- 10,SFS,Search,Forward search,1267.0,1218.0,1318.0,7.86,51.0,22.4,,0.278,0.664,1791.6,43.7,71,213
46
- 11,(R)ReliefF,Non-search,Distance,1216.0,1170.0,1264.0,9.07,42.4,23.2,,0.647,0.808,13.0,0.0,71,213
47
- 12,LOCO,Search,Leave-one-out,1199.0,1153.0,1245.0,8.97,43.1,27.4,,0.22,0.613,235.0,0.0,71,213
48
- 13,SBE,Search,Backward search,1184.0,1131.0,1234.0,9.08,42.2,29.2,,0.175,0.578,3391.5,49.3,71,213
49
- 14,LaplacianScore,Non-search,Distance,1026.0,953.0,1082.0,11.83,22.7,40.2,,0.644,0.85,0.2,0.0,71,213
50
- 15,Random,Baseline,Baseline,1000.0,940.0,1053.0,11.66,23.8,37.5,,0.001,0.499,0.0,0.0,71,213
51
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35
+ </style></head><body><div class='toolbar'><span class='hint'>Click a column to sort. Hover a header for its definition. Stability and validity are shaded as in the Elo figure: darker is better.</span><button onclick="saCsv('selectarena_leaderboard.csv')">CSV</button></div><div class='wrap'><table id='sa-table'><thead><tr><th class='num' title='Rank by Elo.'>#</th><th class=''>Method</th><th class='' title='Taxonomy of the paper (Appendix A). Search methods evaluate many feature subsets with the model (forward, backward, leave-one-out); non-search methods use a proxy instead (correlation, distance, information theory, tree, regularization).'>Type</th><th class='num' title='Bradley-Terry Elo from pairwise matches within each dataset, budget and downstream model. Random = 1000. +/βˆ’ give the 95% bootstrap interval.'>Elo ↑</th><th class='num' title='Mean reduction of the downstream error compared with random selection on the same dataset, in % (as in the Pareto figure; Random is 0).'>Improvement over Random ↑</th><th class='num' title='Agreement of the selected features across bootstrap resamples (Nogueira et al., 2018).'>Stability ↑</th><th class='num' title='Share of the budget filled with original features when as many noise features are added.'>Validity ↑</th><th class='num' title='Median wall-clock time of the selection.'>Time (s) ↓</th><th class='num' title='Share of runs where the method ran out of time and random features filled the budget.'>Fallback (%)</th></tr></thead><tbody><tr><td class='num' data-sort='1'><span class='medal' role='img' aria-label='gold medal'>πŸ₯‡</span>1</td><td class='method' data-sort='ElasticNet'>ElasticNet</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1405.0'>1405<span class='sub'>+59 / βˆ’56</span></td><td class='num' data-sort='25.9'>25.9</td><td class='num shaded' data-sort='0.519' style='background:rgba(0,114,178,0.43)'>0.519</td><td class='num shaded' data-sort='0.873' style='background:rgba(213,94,0,0.66)'>0.873</td><td class='num' data-sort='6.3'>6.3</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='2'><span class='medal' role='img' aria-label='silver medal'>πŸ₯ˆ</span>2</td><td class='method' data-sort='Lasso'>Lasso</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1377.0'>1377<span class='sub'>+57 / βˆ’56</span></td><td class='num' data-sort='25.5'>25.5</td><td class='num shaded' data-sort='0.422' style='background:rgba(0,114,178,0.36)'>0.422</td><td class='num shaded' data-sort='0.825' style='background:rgba(213,94,0,0.63)'>0.825</td><td class='num' data-sort='2.0'>2.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='3'><span class='medal' role='img' aria-label='bronze medal'>πŸ₯‰</span>3</td><td class='method' data-sort='RFImportance'>RFImportance</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1365.0'>1365<span class='sub'>+61 / βˆ’51</span></td><td class='num' data-sort='27.1'>27.1</td><td class='num shaded' data-sort='0.653' style='background:rgba(0,114,178,0.52)'>0.653</td><td class='num shaded' data-sort='0.741' style='background:rgba(213,94,0,0.58)'>0.741</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='4'><span class='medal'></span>4</td><td class='method' data-sort='MI'>MI</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1342.0'>1342<span class='sub'>+52 / βˆ’45</span></td><td class='num' data-sort='26.2'>26.2</td><td class='num shaded' data-sort='0.673' style='background:rgba(0,114,178,0.53)'>0.673</td><td class='num shaded' data-sort='0.863' style='background:rgba(213,94,0,0.66)'>0.863</td><td class='num' data-sort='0.4'>0.4</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='5'><span class='medal'></span>5</td><td class='method' data-sort='F-Test'>F-Test</td><td class='' data-sort='Correlation'><span class='pill cat-non-search'>Correlation</span><span class='sub'>non-search</span></td><td class='num' data-sort='1326.0'>1326<span class='sub'>+43 / βˆ’46</span></td><td class='num' data-sort='25.5'>25.5</td><td class='num shaded' data-sort='0.734' style='background:rgba(0,114,178,0.57)'>0.734</td><td class='num shaded' data-sort='0.932' style='background:rgba(213,94,0,0.70)'>0.932</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='6'><span class='medal'></span>6</td><td class='method' data-sort='CART'>CART</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1318.0'>1318<span class='sub'>+53 / βˆ’49</span></td><td class='num' data-sort='24.1'>24.1</td><td class='num shaded' data-sort='0.456' style='background:rgba(0,114,178,0.39)'>0.456</td><td class='num shaded' data-sort='0.638' style='background:rgba(213,94,0,0.51)'>0.638</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='7'><span class='medal'></span>7</td><td class='method' data-sort='MarkovBlanket'>MarkovBlanket</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1301.0'>1301<span class='sub'>+46 / βˆ’39</span></td><td class='num' data-sort='21.4'>21.4</td><td class='num shaded' data-sort='0.396' style='background:rgba(0,114,178,0.35)'>0.396</td><td class='num shaded' data-sort='0.467' style='background:rgba(213,94,0,0.39)'>0.467</td><td class='num' data-sort='0.1'>0.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='8'><span class='medal'></span>8</td><td class='method' data-sort='mRMR'>mRMR</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1296.0'>1296<span class='sub'>+45 / βˆ’44</span></td><td class='num' data-sort='24.4'>24.4</td><td class='num shaded' data-sort='0.578' style='background:rgba(0,114,178,0.47)'>0.578</td><td class='num shaded' data-sort='0.712' style='background:rgba(213,94,0,0.56)'>0.712</td><td class='num' data-sort='0.3'>0.3</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='9'><span class='medal'></span>9</td><td class='method' data-sort='GainRatio'>GainRatio</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1280.0'>1280<span class='sub'>+45 / βˆ’42</span></td><td class='num' data-sort='21.6'>21.6</td><td class='num shaded' data-sort='0.681' style='background:rgba(0,114,178,0.54)'>0.681</td><td class='num shaded' data-sort='0.915' style='background:rgba(213,94,0,0.69)'>0.915</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='10'><span class='medal'></span>10</td><td class='method' data-sort='SFS'>SFS</td><td class='' data-sort='Forward search'><span class='pill cat-search'>Forward search</span><span class='sub'>search</span></td><td class='num' data-sort='1267.0'>1267<span class='sub'>+51 / βˆ’49</span></td><td class='num' data-sort='19.8'>19.8</td><td class='num shaded' data-sort='0.278' style='background:rgba(0,114,178,0.27)'>0.278</td><td class='num shaded' data-sort='0.664' style='background:rgba(213,94,0,0.52)'>0.664</td><td class='num' data-sort='1791.6'>1,791.6</td><td class='num' data-sort='43.7'>43.7</td></tr><tr><td class='num' data-sort='11'><span class='medal'></span>11</td><td class='method' data-sort='(R)ReliefF'>(R)ReliefF</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='1216.0'>1216<span class='sub'>+48 / βˆ’46</span></td><td class='num' data-sort='16.8'>16.8</td><td class='num shaded' data-sort='0.647' style='background:rgba(0,114,178,0.51)'>0.647</td><td class='num shaded' data-sort='0.808' style='background:rgba(213,94,0,0.62)'>0.808</td><td class='num' data-sort='13.0'>13.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='12'><span class='medal'></span>12</td><td class='method' data-sort='LOCO'>LOCO</td><td class='' data-sort='Leave-one-out'><span class='pill cat-search'>Leave-one-out</span><span class='sub'>search</span></td><td class='num' data-sort='1199.0'>1199<span class='sub'>+46 / βˆ’46</span></td><td class='num' data-sort='12.5'>12.5</td><td class='num shaded' data-sort='0.22' style='background:rgba(0,114,178,0.23)'>0.220</td><td class='num shaded' data-sort='0.613' style='background:rgba(213,94,0,0.49)'>0.613</td><td class='num' data-sort='235.0'>235.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='13'><span class='medal'></span>13</td><td class='method' data-sort='SBE'>SBE</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1184.0'>1184<span class='sub'>+50 / βˆ’53</span></td><td class='num' data-sort='10.8'>10.8</td><td class='num shaded' data-sort='0.175' style='background:rgba(0,114,178,0.20)'>0.175</td><td class='num shaded' data-sort='0.578' style='background:rgba(213,94,0,0.47)'>0.578</td><td class='num' data-sort='3391.5'>3,391.5</td><td class='num' data-sort='49.3'>49.3</td></tr><tr><td class='num' data-sort='14'><span class='medal'></span>14</td><td class='method' data-sort='LaplacianScore'>LaplacianScore</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='1026.0'>1026<span class='sub'>+56 / βˆ’73</span></td><td class='num' data-sort='-22.4'>-22.4</td><td class='num shaded' data-sort='0.644' style='background:rgba(0,114,178,0.51)'>0.644</td><td class='num shaded' data-sort='0.85' style='background:rgba(213,94,0,0.65)'>0.850</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='15'><span class='medal'></span>15</td><td class='method' data-sort='Random'>Random</td><td class='' data-sort='Baseline'><span class='pill cat-baseline'>Baseline</span></td><td class='num' data-sort='1000.0'>1000<span class='sub'>+53 / βˆ’60</span></td><td class='num' data-sort='0.0'>0.0</td><td class='num shaded' data-sort='0.001' style='background:rgba(0,114,178,0.08)'>0.001</td><td class='num shaded' data-sort='0.499' style='background:rgba(213,94,0,0.41)'>0.499</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr></tbody></table></div><script type='text/plain' id='sa-csv'>Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Improvement over Random (%),Stability,Validity,Selection time (s),Fallback rate (%)
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data-tip='ElasticNet&#10;Improvement over Random: 25.9%&#10;Selection time per 1k features: 2.07e+03 s&#10;Datasets: 71&#10;Next to Lasso: 25.5%, 2.02e+03 s' aria-label='ElasticNet&#10;Improvement over Random: 25.9%&#10;Selection time per 1k features: 2.07e+03 s&#10;Datasets: 71&#10;Next to Lasso: 25.5%, 2.02e+03 s'/><circle class='sa-hit' cx='340.6' cy='50.3' r='10.5' data-tip='F-Test (on the Pareto front)&#10;Improvement over Random: 25.5%&#10;Selection time per 1k features: 0.648 s&#10;Datasets: 71' aria-label='F-Test (on the Pareto front)&#10;Improvement over Random: 25.5%&#10;Selection time per 1k features: 0.648 s&#10;Datasets: 71'/><circle class='sa-hit' cx='690.3' cy='50.5' r='10.5' data-tip='Lasso&#10;Improvement over Random: 25.5%&#10;Selection time per 1k features: 2.02e+03 s&#10;Datasets: 71&#10;Next to ElasticNet: 25.9%, 2.07e+03 s' aria-label='Lasso&#10;Improvement over Random: 25.5%&#10;Selection time per 1k features: 2.02e+03 s&#10;Datasets: 71&#10;Next to ElasticNet: 25.9%, 2.07e+03 s'/><circle class='sa-hit' cx='492.1' cy='63.3' r='10.5' data-tip='mRMR&#10;Improvement over Random: 24.4%&#10;Selection time per 1k features: 21.2 s&#10;Datasets: 71&#10;Next to CART: 24.1%, 14.6 s' aria-label='mRMR&#10;Improvement over Random: 24.4%&#10;Selection time per 1k features: 21.2 s&#10;Datasets: 71&#10;Next to CART: 24.1%, 14.6 s'/><circle class='sa-hit' cx='475.9' cy='66.6' r='10.5' data-tip='CART&#10;Improvement over Random: 24.1%&#10;Selection time per 1k features: 14.6 s&#10;Datasets: 71&#10;Next to mRMR: 24.4%, 21.2 s' aria-label='CART&#10;Improvement over Random: 24.1%&#10;Selection time per 1k features: 14.6 s&#10;Datasets: 71&#10;Next to mRMR: 24.4%, 21.2 s'/><circle class='sa-hit' cx='469.8' cy='97.3' r='10.5' data-tip='GainRatio&#10;Improvement over Random: 21.6%&#10;Selection time per 1k features: 12.7 s&#10;Datasets: 71&#10;Next to MarkovBlanket: 21.4%, 19.5 s' aria-label='GainRatio&#10;Improvement over Random: 21.6%&#10;Selection time per 1k features: 12.7 s&#10;Datasets: 71&#10;Next to MarkovBlanket: 21.4%, 19.5 s'/><circle class='sa-hit' cx='488.6' cy='99.6' r='10.5' data-tip='MarkovBlanket&#10;Improvement over Random: 21.4%&#10;Selection time per 1k features: 19.5 s&#10;Datasets: 71&#10;Next to GainRatio: 21.6%, 12.7 s' aria-label='MarkovBlanket&#10;Improvement over Random: 21.4%&#10;Selection time per 1k features: 19.5 s&#10;Datasets: 71&#10;Next to GainRatio: 21.6%, 12.7 s'/><circle class='sa-hit' cx='799.7' cy='117.6' r='10.5' data-tip='SFS&#10;Improvement over Random: 19.8%&#10;Selection time per 1k features: 2.5e+04 s&#10;Datasets: 71' aria-label='SFS&#10;Improvement over Random: 19.8%&#10;Selection time per 1k features: 2.5e+04 s&#10;Datasets: 71'/><circle class='sa-hit' cx='797.5' cy='154.0' r='10.5' data-tip='(R)ReliefF&#10;Improvement over Random: 16.8%&#10;Selection time per 1k features: 2.38e+04 s&#10;Datasets: 71' aria-label='(R)ReliefF&#10;Improvement over Random: 16.8%&#10;Selection time per 1k features: 2.38e+04 s&#10;Datasets: 71'/><circle class='sa-hit' cx='740.2' cy='204.1' r='10.5' data-tip='LOCO&#10;Improvement over Random: 12.5%&#10;Selection time per 1k features: 6.37e+03 s&#10;Datasets: 71' aria-label='LOCO&#10;Improvement over Random: 12.5%&#10;Selection time per 1k features: 6.37e+03 s&#10;Datasets: 71'/><circle class='sa-hit' cx='812.3' cy='223.9' r='10.5' data-tip='SBE&#10;Improvement over Random: 10.8%&#10;Selection time per 1k features: 3.35e+04 s&#10;Datasets: 71' aria-label='SBE&#10;Improvement over Random: 10.8%&#10;Selection time per 1k features: 3.35e+04 s&#10;Datasets: 71'/><circle class='sa-hit' cx='102.4' cy='352.0' r='10.5' data-tip='Random (on the Pareto front)&#10;Improvement over Random: 0.0%&#10;Selection time per 1k features: 0.0027 s&#10;Datasets: 71' aria-label='Random (on the Pareto front)&#10;Improvement over Random: 0.0%&#10;Selection time per 1k features: 0.0027 s&#10;Datasets: 71'/></svg><script type='text/plain' id='sa-csv'>method,improvement,time_per_1k,n_datasets,pareto_optimal
36
  RFImportance,27.0594,38.7475,71,True
37
  MI,26.2027,46.0868,71,False
38
  ElasticNet,25.8586,2071.727,71,False
data/subsets/tasks_all/models_linearmodel/budgets_1/website_leaderboard.csv CHANGED
@@ -1,16 +1,16 @@
1
- Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Avg. rank,Win rate (%),Improvability (%),Error vs. all features,Stability,Validity,Selection time (s),Fallback rate (%),#Datasets,#Comparisons
2
- 1,ElasticNet,Non-search,Regularization,1405.0,1349.0,1464.0,5.71,66.4,15.8,,0.519,0.873,6.3,0.0,71,213
3
- 2,Lasso,Non-search,Regularization,1377.0,1321.0,1434.0,5.96,64.6,15.2,,0.422,0.825,2.0,0.0,71,213
4
- 3,RFImportance,Non-search,Tree,1365.0,1314.0,1426.0,6.6,60.0,16.0,,0.653,0.741,0.2,0.0,71,213
5
- 4,MI,Non-search,Information theory,1342.0,1297.0,1394.0,6.59,60.1,17.7,,0.673,0.863,0.4,0.0,71,213
6
- 5,F-Test,Non-search,Correlation,1326.0,1280.0,1369.0,6.86,58.1,19.4,,0.734,0.932,0.0,0.0,71,213
7
- 6,CART,Non-search,Tree,1318.0,1269.0,1371.0,7.01,57.1,20.0,,0.456,0.638,0.0,0.0,71,213
8
- 7,MarkovBlanket,Search,Backward search,1301.0,1262.0,1347.0,7.49,53.7,21.9,,0.396,0.467,0.1,0.0,71,213
9
- 8,mRMR,Non-search,Information theory,1296.0,1252.0,1341.0,7.46,53.9,20.6,,0.578,0.712,0.3,0.0,71,213
10
- 9,GainRatio,Non-search,Information theory,1280.0,1238.0,1325.0,7.86,51.0,23.5,,0.681,0.915,0.2,0.0,71,213
11
- 10,SFS,Search,Forward search,1267.0,1218.0,1318.0,7.86,51.0,22.4,,0.278,0.664,1791.6,43.7,71,213
12
- 11,(R)ReliefF,Non-search,Distance,1216.0,1170.0,1264.0,9.07,42.4,23.2,,0.647,0.808,13.0,0.0,71,213
13
- 12,LOCO,Search,Leave-one-out,1199.0,1153.0,1245.0,8.97,43.1,27.4,,0.22,0.613,235.0,0.0,71,213
14
- 13,SBE,Search,Backward search,1184.0,1131.0,1234.0,9.08,42.2,29.2,,0.175,0.578,3391.5,49.3,71,213
15
- 14,LaplacianScore,Non-search,Distance,1026.0,953.0,1082.0,11.83,22.7,40.2,,0.644,0.85,0.2,0.0,71,213
16
- 15,Random,Baseline,Baseline,1000.0,940.0,1053.0,11.66,23.8,37.5,,0.001,0.499,0.0,0.0,71,213
 
1
+ Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Avg. rank,Win rate (%),Improvability (%),Improvement over Random (%),Error vs. all features,Stability,Validity,Selection time (s),Fallback rate (%),#Datasets,#Comparisons
2
+ 1,ElasticNet,Non-search,Regularization,1405.0,1349.0,1464.0,5.71,66.4,15.8,25.9,,0.519,0.873,6.3,0.0,71,213
3
+ 2,Lasso,Non-search,Regularization,1377.0,1321.0,1434.0,5.96,64.6,15.2,25.5,,0.422,0.825,2.0,0.0,71,213
4
+ 3,RFImportance,Non-search,Tree,1365.0,1314.0,1426.0,6.6,60.0,16.0,27.1,,0.653,0.741,0.2,0.0,71,213
5
+ 4,MI,Non-search,Information theory,1342.0,1297.0,1394.0,6.59,60.1,17.7,26.2,,0.673,0.863,0.4,0.0,71,213
6
+ 5,F-Test,Non-search,Correlation,1326.0,1280.0,1369.0,6.86,58.1,19.4,25.5,,0.734,0.932,0.0,0.0,71,213
7
+ 6,CART,Non-search,Tree,1318.0,1269.0,1371.0,7.01,57.1,20.0,24.1,,0.456,0.638,0.0,0.0,71,213
8
+ 7,MarkovBlanket,Search,Backward search,1301.0,1262.0,1347.0,7.49,53.7,21.9,21.4,,0.396,0.467,0.1,0.0,71,213
9
+ 8,mRMR,Non-search,Information theory,1296.0,1252.0,1341.0,7.46,53.9,20.6,24.4,,0.578,0.712,0.3,0.0,71,213
10
+ 9,GainRatio,Non-search,Information theory,1280.0,1238.0,1325.0,7.86,51.0,23.5,21.6,,0.681,0.915,0.2,0.0,71,213
11
+ 10,SFS,Search,Forward search,1267.0,1218.0,1318.0,7.86,51.0,22.4,19.8,,0.278,0.664,1791.6,43.7,71,213
12
+ 11,(R)ReliefF,Non-search,Distance,1216.0,1170.0,1264.0,9.07,42.4,23.2,16.8,,0.647,0.808,13.0,0.0,71,213
13
+ 12,LOCO,Search,Leave-one-out,1199.0,1153.0,1245.0,8.97,43.1,27.4,12.5,,0.22,0.613,235.0,0.0,71,213
14
+ 13,SBE,Search,Backward search,1184.0,1131.0,1234.0,9.08,42.2,29.2,10.8,,0.175,0.578,3391.5,49.3,71,213
15
+ 14,LaplacianScore,Non-search,Distance,1026.0,953.0,1082.0,11.83,22.7,40.2,-22.4,,0.644,0.85,0.2,0.0,71,213
16
+ 15,Random,Baseline,Baseline,1000.0,940.0,1053.0,11.66,23.8,37.5,0.0,,0.001,0.499,0.0,0.0,71,213
data/subsets/tasks_all/models_linearmodel/budgets_2/leaderboard_table.html CHANGED
@@ -32,22 +32,22 @@ td.na { color:var(--muted); }
32
  .pill.cat-baseline { color:var(--muted); }
33
  .medal { display:inline-block; width:1.4em; text-align:center; font-size:15px; line-height:1; }
34
  td.shaded { font-weight:600; }
35
- </style></head><body><div class='toolbar'><span class='hint'>Click a column to sort. Hover a header for its definition. Stability and validity are shaded as in the Elo figure: darker is better.</span><button onclick="saCsv('selectarena_leaderboard.csv')">CSV</button></div><div class='wrap'><table id='sa-table'><thead><tr><th class='num' title='Rank by Elo.'>#</th><th class=''>Method</th><th class='' title='Taxonomy of the paper (Appendix A). Search methods evaluate many feature subsets with the model (forward, backward, leave-one-out); non-search methods use a proxy instead (correlation, distance, information theory, tree, regularization).'>Type</th><th class='num' title='Bradley-Terry Elo from pairwise matches within each dataset, budget and downstream model. Random = 1000. +/βˆ’ give the 95% bootstrap interval.'>Elo ↑</th><th class='num' title='Mean rank of the downstream error.'>Avg. rank ↓</th><th class='num' title='Mean relative gap (error βˆ’ best error) / error to the best method, in %.'>Improvability ↓</th><th class='num' title='Agreement of the selected features across bootstrap resamples (Nogueira et al., 2018).'>Stability ↑</th><th class='num' title='Share of the budget filled with original features when as many noise features are added.'>Validity ↑</th><th class='num' title='Median wall-clock time of the selection.'>Time (s) ↓</th><th class='num' title='Share of runs where the method ran out of time and random features filled the budget.'>Fallback (%)</th></tr></thead><tbody><tr><td class='num' data-sort='1'><span class='medal' role='img' aria-label='gold medal'>πŸ₯‡</span>1</td><td class='method' data-sort='ElasticNet'>ElasticNet</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1313.0'>1313<span class='sub'>+63 / βˆ’56</span></td><td class='num' data-sort='5.75'>5.75</td><td class='num' data-sort='14.0'>14.0</td><td class='num shaded' data-sort='0.481' style='background:rgba(0,114,178,0.40)'>0.481</td><td class='num shaded' data-sort='0.777' style='background:rgba(213,94,0,0.60)'>0.777</td><td class='num' data-sort='6.3'>6.3</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='2'><span class='medal' role='img' aria-label='silver medal'>πŸ₯ˆ</span>2</td><td class='method' data-sort='Lasso'>Lasso</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1274.0'>1274<span class='sub'>+57 / βˆ’55</span></td><td class='num' data-sort='6.11'>6.11</td><td class='num' data-sort='14.2'>14.2</td><td class='num shaded' data-sort='0.389' style='background:rgba(0,114,178,0.34)'>0.389</td><td class='num shaded' data-sort='0.73' style='background:rgba(213,94,0,0.57)'>0.730</td><td class='num' data-sort='1.8'>1.8</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='3'><span class='medal' role='img' aria-label='bronze medal'>πŸ₯‰</span>3</td><td class='method' data-sort='RFImportance'>RFImportance</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1263.0'>1263<span class='sub'>+58 / βˆ’50</span></td><td class='num' data-sort='6.51'>6.51</td><td class='num' data-sort='14.9'>14.9</td><td class='num shaded' data-sort='0.676' style='background:rgba(0,114,178,0.53)'>0.676</td><td class='num shaded' data-sort='0.691' style='background:rgba(213,94,0,0.54)'>0.691</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='4'><span class='medal'></span>4</td><td class='method' data-sort='MI'>MI</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1258.0'>1258<span class='sub'>+45 / βˆ’45</span></td><td class='num' data-sort='6.65'>6.65</td><td class='num' data-sort='16.8'>16.8</td><td class='num shaded' data-sort='0.683' style='background:rgba(0,114,178,0.54)'>0.683</td><td class='num shaded' data-sort='0.815' style='background:rgba(213,94,0,0.63)'>0.815</td><td class='num' data-sort='0.4'>0.4</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='5'><span class='medal'></span>5</td><td class='method' data-sort='F-Test'>F-Test</td><td class='' data-sort='Correlation'><span class='pill cat-non-search'>Correlation</span><span class='sub'>non-search</span></td><td class='num' data-sort='1216.0'>1216<span class='sub'>+46 / βˆ’45</span></td><td class='num' data-sort='7.2'>7.20</td><td class='num' data-sort='17.6'>17.6</td><td class='num shaded' data-sort='0.706' style='background:rgba(0,114,178,0.55)'>0.706</td><td class='num shaded' data-sort='0.879' style='background:rgba(213,94,0,0.67)'>0.879</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='6'><span class='medal'></span>6</td><td class='method' data-sort='CART'>CART</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1203.0'>1203<span class='sub'>+55 / βˆ’49</span></td><td class='num' data-sort='7.48'>7.48</td><td class='num' data-sort='19.7'>19.7</td><td class='num shaded' data-sort='0.444' style='background:rgba(0,114,178,0.38)'>0.444</td><td class='num shaded' data-sort='0.572' style='background:rgba(213,94,0,0.46)'>0.572</td><td class='num' data-sort='0.1'>0.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='7'><span class='medal'></span>7</td><td class='method' data-sort='GainRatio'>GainRatio</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1185.0'>1185<span class='sub'>+45 / βˆ’46</span></td><td class='num' data-sort='8.04'>8.04</td><td class='num' data-sort='20.8'>20.8</td><td class='num shaded' data-sort='0.67' style='background:rgba(0,114,178,0.53)'>0.670</td><td class='num shaded' data-sort='0.856' style='background:rgba(213,94,0,0.65)'>0.856</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='8'><span class='medal'></span>8</td><td class='method' data-sort='mRMR'>mRMR</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1173.0'>1173<span class='sub'>+48 / βˆ’50</span></td><td class='num' data-sort='7.81'>7.81</td><td class='num' data-sort='19.1'>19.1</td><td class='num shaded' data-sort='0.614' style='background:rgba(0,114,178,0.49)'>0.614</td><td class='num shaded' data-sort='0.66' style='background:rgba(213,94,0,0.52)'>0.660</td><td class='num' data-sort='0.4'>0.4</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='9'><span class='medal'></span>9</td><td class='method' data-sort='MarkovBlanket'>MarkovBlanket</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1172.0'>1172<span class='sub'>+42 / βˆ’43</span></td><td class='num' data-sort='8.03'>8.03</td><td class='num' data-sort='21.5'>21.5</td><td class='num shaded' data-sort='0.413' style='background:rgba(0,114,178,0.36)'>0.413</td><td class='num shaded' data-sort='0.447' style='background:rgba(213,94,0,0.38)'>0.447</td><td class='num' data-sort='0.1'>0.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='10'><span class='medal'></span>10</td><td class='method' data-sort='SFS'>SFS</td><td class='' data-sort='Forward search'><span class='pill cat-search'>Forward search</span><span class='sub'>search</span></td><td class='num' data-sort='1172.0'>1172<span class='sub'>+43 / βˆ’46</span></td><td class='num' data-sort='7.82'>7.82</td><td class='num' data-sort='20.7'>20.7</td><td class='num shaded' data-sort='0.239' style='background:rgba(0,114,178,0.24)'>0.239</td><td class='num shaded' data-sort='0.627' style='background:rgba(213,94,0,0.50)'>0.627</td><td class='num' data-sort='2264.7'>2,264.7</td><td class='num' data-sort='47.9'>47.9</td></tr><tr><td class='num' data-sort='11'><span class='medal'></span>11</td><td class='method' data-sort='(R)ReliefF'>(R)ReliefF</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='1168.0'>1168<span class='sub'>+44 / βˆ’45</span></td><td class='num' data-sort='8.41'>8.41</td><td class='num' data-sort='19.5'>19.5</td><td class='num shaded' data-sort='0.673' style='background:rgba(0,114,178,0.53)'>0.673</td><td class='num shaded' data-sort='0.757' style='background:rgba(213,94,0,0.59)'>0.757</td><td class='num' data-sort='12.8'>12.8</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='12'><span class='medal'></span>12</td><td class='method' data-sort='LOCO'>LOCO</td><td class='' data-sort='Leave-one-out'><span class='pill cat-search'>Leave-one-out</span><span class='sub'>search</span></td><td class='num' data-sort='1109.0'>1109<span class='sub'>+41 / βˆ’48</span></td><td class='num' data-sort='8.81'>8.81</td><td class='num' data-sort='25.7'>25.7</td><td class='num shaded' data-sort='0.151' style='background:rgba(0,114,178,0.18)'>0.151</td><td class='num shaded' data-sort='0.575' style='background:rgba(213,94,0,0.47)'>0.575</td><td class='num' data-sort='242.0'>242.0</td><td class='num' data-sort='6.1'>6.1</td></tr><tr><td class='num' data-sort='13'><span class='medal'></span>13</td><td class='method' data-sort='SBE'>SBE</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1088.0'>1088<span class='sub'>+47 / βˆ’49</span></td><td class='num' data-sort='8.94'>8.94</td><td class='num' data-sort='25.1'>25.1</td><td class='num shaded' data-sort='0.144' style='background:rgba(0,114,178,0.18)'>0.144</td><td class='num shaded' data-sort='0.556' style='background:rgba(213,94,0,0.45)'>0.556</td><td class='num' data-sort='2787.0'>2,787.0</td><td class='num' data-sort='48.4'>48.4</td></tr><tr><td class='num' data-sort='14'><span class='medal'></span>14</td><td class='method' data-sort='Random'>Random</td><td class='' data-sort='Baseline'><span class='pill cat-baseline'>Baseline</span></td><td class='num' data-sort='1000.0'>1000<span class='sub'>+56 / βˆ’65</span></td><td class='num' data-sort='10.69'>10.69</td><td class='num' data-sort='31.5'>31.5</td><td class='num shaded' data-sort='-0.001' style='background:rgba(0,114,178,0.08)'>-0.001</td><td class='num shaded' data-sort='0.513' style='background:rgba(213,94,0,0.42)'>0.513</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='15'><span class='medal'></span>15</td><td class='method' data-sort='LaplacianScore'>LaplacianScore</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='942.0'>942<span class='sub'>+55 / βˆ’74</span></td><td class='num' data-sort='11.74'>11.74</td><td class='num' data-sort='37.1'>37.1</td><td class='num shaded' data-sort='0.66' style='background:rgba(0,114,178,0.52)'>0.660</td><td class='num shaded' data-sort='0.827' style='background:rgba(213,94,0,0.63)'>0.827</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr></tbody></table></div><script type='text/plain' id='sa-csv'>Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Avg. rank,Win rate (%),Improvability (%),Error vs. all features,Stability,Validity,Selection time (s),Fallback rate (%),#Datasets,#Comparisons
36
- 1,ElasticNet,Non-search,Regularization,1313.0,1257.0,1376.0,5.75,66.1,14.0,,0.481,0.777,6.3,0.0,71,213
37
- 2,Lasso,Non-search,Regularization,1274.0,1219.0,1331.0,6.11,63.5,14.2,,0.389,0.73,1.8,0.0,71,213
38
- 3,RFImportance,Non-search,Tree,1263.0,1213.0,1321.0,6.51,60.7,14.9,,0.676,0.691,0.2,0.0,71,213
39
- 4,MI,Non-search,Information theory,1258.0,1213.0,1303.0,6.65,59.6,16.8,,0.683,0.815,0.4,0.0,71,213
40
- 5,F-Test,Non-search,Correlation,1216.0,1171.0,1262.0,7.2,55.7,17.6,,0.706,0.879,0.0,0.0,71,213
41
- 6,CART,Non-search,Tree,1203.0,1154.0,1258.0,7.48,53.7,19.7,,0.444,0.572,0.1,0.0,71,213
42
- 7,GainRatio,Non-search,Information theory,1185.0,1139.0,1230.0,8.04,49.7,20.8,,0.67,0.856,0.2,0.0,71,213
43
- 8,mRMR,Non-search,Information theory,1173.0,1123.0,1221.0,7.81,51.4,19.1,,0.614,0.66,0.4,0.0,71,213
44
- 9,MarkovBlanket,Search,Backward search,1172.0,1129.0,1214.0,8.03,49.8,21.5,,0.413,0.447,0.1,0.0,71,213
45
- 10,SFS,Search,Forward search,1172.0,1126.0,1215.0,7.82,51.3,20.7,,0.239,0.627,2264.7,47.9,71,213
46
- 11,(R)ReliefF,Non-search,Distance,1168.0,1123.0,1212.0,8.41,47.1,19.5,,0.673,0.757,12.8,0.0,71,213
47
- 12,LOCO,Search,Leave-one-out,1109.0,1061.0,1150.0,8.81,44.2,25.7,,0.151,0.575,242.0,6.1,71,213
48
- 13,SBE,Search,Backward search,1088.0,1039.0,1135.0,8.94,43.3,25.1,,0.144,0.556,2787.0,48.4,71,213
49
- 14,Random,Baseline,Baseline,1000.0,935.0,1056.0,10.69,30.8,31.5,,-0.001,0.513,0.0,0.0,71,213
50
- 15,LaplacianScore,Non-search,Distance,942.0,868.0,997.0,11.74,23.3,37.1,,0.66,0.827,0.2,0.0,71,213
51
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+ </style></head><body><div class='toolbar'><span class='hint'>Click a column to sort. Hover a header for its definition. Stability and validity are shaded as in the Elo figure: darker is better.</span><button onclick="saCsv('selectarena_leaderboard.csv')">CSV</button></div><div class='wrap'><table id='sa-table'><thead><tr><th class='num' title='Rank by Elo.'>#</th><th class=''>Method</th><th class='' title='Taxonomy of the paper (Appendix A). Search methods evaluate many feature subsets with the model (forward, backward, leave-one-out); non-search methods use a proxy instead (correlation, distance, information theory, tree, regularization).'>Type</th><th class='num' title='Bradley-Terry Elo from pairwise matches within each dataset, budget and downstream model. Random = 1000. +/βˆ’ give the 95% bootstrap interval.'>Elo ↑</th><th class='num' title='Mean reduction of the downstream error compared with random selection on the same dataset, in % (as in the Pareto figure; Random is 0).'>Improvement over Random ↑</th><th class='num' title='Agreement of the selected features across bootstrap resamples (Nogueira et al., 2018).'>Stability ↑</th><th class='num' title='Share of the budget filled with original features when as many noise features are added.'>Validity ↑</th><th class='num' title='Median wall-clock time of the selection.'>Time (s) ↓</th><th class='num' title='Share of runs where the method ran out of time and random features filled the budget.'>Fallback (%)</th></tr></thead><tbody><tr><td class='num' data-sort='1'><span class='medal' role='img' aria-label='gold medal'>πŸ₯‡</span>1</td><td class='method' data-sort='ElasticNet'>ElasticNet</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1313.0'>1313<span class='sub'>+63 / βˆ’56</span></td><td class='num' data-sort='20.6'>20.6</td><td class='num shaded' data-sort='0.481' style='background:rgba(0,114,178,0.40)'>0.481</td><td class='num shaded' data-sort='0.777' style='background:rgba(213,94,0,0.60)'>0.777</td><td class='num' data-sort='6.3'>6.3</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='2'><span class='medal' role='img' aria-label='silver medal'>πŸ₯ˆ</span>2</td><td class='method' data-sort='Lasso'>Lasso</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1274.0'>1274<span class='sub'>+57 / βˆ’55</span></td><td class='num' data-sort='19.4'>19.4</td><td class='num shaded' data-sort='0.389' style='background:rgba(0,114,178,0.34)'>0.389</td><td class='num shaded' data-sort='0.73' style='background:rgba(213,94,0,0.57)'>0.730</td><td class='num' data-sort='1.8'>1.8</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='3'><span class='medal' role='img' aria-label='bronze medal'>πŸ₯‰</span>3</td><td class='method' data-sort='RFImportance'>RFImportance</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1263.0'>1263<span class='sub'>+58 / βˆ’50</span></td><td class='num' data-sort='22.2'>22.2</td><td class='num shaded' data-sort='0.676' style='background:rgba(0,114,178,0.53)'>0.676</td><td class='num shaded' data-sort='0.691' style='background:rgba(213,94,0,0.54)'>0.691</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='4'><span class='medal'></span>4</td><td class='method' data-sort='MI'>MI</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1258.0'>1258<span class='sub'>+45 / βˆ’45</span></td><td class='num' data-sort='20.9'>20.9</td><td class='num shaded' data-sort='0.683' style='background:rgba(0,114,178,0.54)'>0.683</td><td class='num shaded' data-sort='0.815' style='background:rgba(213,94,0,0.63)'>0.815</td><td class='num' data-sort='0.4'>0.4</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='5'><span class='medal'></span>5</td><td class='method' data-sort='F-Test'>F-Test</td><td class='' data-sort='Correlation'><span class='pill cat-non-search'>Correlation</span><span class='sub'>non-search</span></td><td class='num' data-sort='1216.0'>1216<span class='sub'>+46 / βˆ’45</span></td><td class='num' data-sort='18.6'>18.6</td><td class='num shaded' data-sort='0.706' style='background:rgba(0,114,178,0.55)'>0.706</td><td class='num shaded' data-sort='0.879' style='background:rgba(213,94,0,0.67)'>0.879</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='6'><span class='medal'></span>6</td><td class='method' data-sort='CART'>CART</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1203.0'>1203<span class='sub'>+55 / βˆ’49</span></td><td class='num' data-sort='17.5'>17.5</td><td class='num shaded' data-sort='0.444' style='background:rgba(0,114,178,0.38)'>0.444</td><td class='num shaded' data-sort='0.572' style='background:rgba(213,94,0,0.46)'>0.572</td><td class='num' data-sort='0.1'>0.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='7'><span class='medal'></span>7</td><td class='method' data-sort='GainRatio'>GainRatio</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1185.0'>1185<span class='sub'>+45 / βˆ’46</span></td><td class='num' data-sort='15.0'>15.0</td><td class='num shaded' data-sort='0.67' style='background:rgba(0,114,178,0.53)'>0.670</td><td class='num shaded' data-sort='0.856' style='background:rgba(213,94,0,0.65)'>0.856</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='8'><span class='medal'></span>8</td><td class='method' data-sort='mRMR'>mRMR</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1173.0'>1173<span class='sub'>+48 / βˆ’50</span></td><td class='num' data-sort='17.9'>17.9</td><td class='num shaded' data-sort='0.614' style='background:rgba(0,114,178,0.49)'>0.614</td><td class='num shaded' data-sort='0.66' style='background:rgba(213,94,0,0.52)'>0.660</td><td class='num' data-sort='0.4'>0.4</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='9'><span class='medal'></span>9</td><td class='method' data-sort='MarkovBlanket'>MarkovBlanket</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1172.0'>1172<span class='sub'>+42 / βˆ’43</span></td><td class='num' data-sort='14.8'>14.8</td><td class='num shaded' data-sort='0.413' style='background:rgba(0,114,178,0.36)'>0.413</td><td class='num shaded' data-sort='0.447' style='background:rgba(213,94,0,0.38)'>0.447</td><td class='num' data-sort='0.1'>0.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='10'><span class='medal'></span>10</td><td class='method' data-sort='SFS'>SFS</td><td class='' data-sort='Forward search'><span class='pill cat-search'>Forward search</span><span class='sub'>search</span></td><td class='num' data-sort='1172.0'>1172<span class='sub'>+43 / βˆ’46</span></td><td class='num' data-sort='13.8'>13.8</td><td class='num shaded' data-sort='0.239' style='background:rgba(0,114,178,0.24)'>0.239</td><td class='num shaded' data-sort='0.627' style='background:rgba(213,94,0,0.50)'>0.627</td><td class='num' data-sort='2264.7'>2,264.7</td><td class='num' data-sort='47.9'>47.9</td></tr><tr><td class='num' data-sort='11'><span class='medal'></span>11</td><td class='method' data-sort='(R)ReliefF'>(R)ReliefF</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='1168.0'>1168<span class='sub'>+44 / βˆ’45</span></td><td class='num' data-sort='17.7'>17.7</td><td class='num shaded' data-sort='0.673' style='background:rgba(0,114,178,0.53)'>0.673</td><td class='num shaded' data-sort='0.757' style='background:rgba(213,94,0,0.59)'>0.757</td><td class='num' data-sort='12.8'>12.8</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='12'><span class='medal'></span>12</td><td class='method' data-sort='LOCO'>LOCO</td><td class='' data-sort='Leave-one-out'><span class='pill cat-search'>Leave-one-out</span><span class='sub'>search</span></td><td class='num' data-sort='1109.0'>1109<span class='sub'>+41 / βˆ’48</span></td><td class='num' data-sort='8.1'>8.1</td><td class='num shaded' data-sort='0.151' style='background:rgba(0,114,178,0.18)'>0.151</td><td class='num shaded' data-sort='0.575' style='background:rgba(213,94,0,0.47)'>0.575</td><td class='num' data-sort='242.0'>242.0</td><td class='num' data-sort='6.1'>6.1</td></tr><tr><td class='num' data-sort='13'><span class='medal'></span>13</td><td class='method' data-sort='SBE'>SBE</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1088.0'>1088<span class='sub'>+47 / βˆ’49</span></td><td class='num' data-sort='7.5'>7.5</td><td class='num shaded' data-sort='0.144' style='background:rgba(0,114,178,0.18)'>0.144</td><td class='num shaded' data-sort='0.556' style='background:rgba(213,94,0,0.45)'>0.556</td><td class='num' data-sort='2787.0'>2,787.0</td><td class='num' data-sort='48.4'>48.4</td></tr><tr><td class='num' data-sort='14'><span class='medal'></span>14</td><td class='method' data-sort='Random'>Random</td><td class='' data-sort='Baseline'><span class='pill cat-baseline'>Baseline</span></td><td class='num' data-sort='1000.0'>1000<span class='sub'>+56 / βˆ’65</span></td><td class='num' data-sort='0.0'>0.0</td><td class='num shaded' data-sort='-0.001' style='background:rgba(0,114,178,0.08)'>-0.001</td><td class='num shaded' data-sort='0.513' style='background:rgba(213,94,0,0.42)'>0.513</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='15'><span class='medal'></span>15</td><td class='method' data-sort='LaplacianScore'>LaplacianScore</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='942.0'>942<span class='sub'>+55 / βˆ’74</span></td><td class='num' data-sort='-52.8'>-52.8</td><td class='num shaded' data-sort='0.66' style='background:rgba(0,114,178,0.52)'>0.660</td><td class='num shaded' data-sort='0.827' style='background:rgba(213,94,0,0.63)'>0.827</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr></tbody></table></div><script type='text/plain' id='sa-csv'>Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Improvement over Random (%),Stability,Validity,Selection time (s),Fallback rate (%)
36
+ 1,ElasticNet,Non-search,Regularization,1313.0,1257.0,1376.0,20.6,0.481,0.777,6.3,0.0
37
+ 2,Lasso,Non-search,Regularization,1274.0,1219.0,1331.0,19.4,0.389,0.73,1.8,0.0
38
+ 3,RFImportance,Non-search,Tree,1263.0,1213.0,1321.0,22.2,0.676,0.691,0.2,0.0
39
+ 4,MI,Non-search,Information theory,1258.0,1213.0,1303.0,20.9,0.683,0.815,0.4,0.0
40
+ 5,F-Test,Non-search,Correlation,1216.0,1171.0,1262.0,18.6,0.706,0.879,0.0,0.0
41
+ 6,CART,Non-search,Tree,1203.0,1154.0,1258.0,17.5,0.444,0.572,0.1,0.0
42
+ 7,GainRatio,Non-search,Information theory,1185.0,1139.0,1230.0,15.0,0.67,0.856,0.2,0.0
43
+ 8,mRMR,Non-search,Information theory,1173.0,1123.0,1221.0,17.9,0.614,0.66,0.4,0.0
44
+ 9,MarkovBlanket,Search,Backward search,1172.0,1129.0,1214.0,14.8,0.413,0.447,0.1,0.0
45
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sa-halo' x='755.7' y='40.9' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='400'>ElasticNet</text><line class='sa-ink' x1='695.4' y1='73.4' x2='649.8' y2='82.5' stroke-width='1' opacity='0.6'/><text class='sa-dim sa-halo' x='649.8' y='82.5' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='400'>Lasso</text><line class='sa-ink' x1='342.7' y1='84.9' x2='303.0' y2='99.1' stroke-width='1' opacity='0.6'/><text class='sa-text sa-halo' x='303.0' y='99.1' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='700'>F-Test</text><line class='sa-ink' x1='514.8' y1='93.9' x2='556.4' y2='79.6' stroke-width='1' opacity='0.6'/><text class='sa-dim sa-halo' x='556.4' y='79.6' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='400'>mRMR</text><line class='sa-ink' x1='802.2' y1='97.1' x2='779.9' y2='116.5' stroke-width='1' opacity='0.6'/><text class='sa-dim sa-halo' x='779.9' y='116.5' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='400'>(R)ReliefF</text><line class='sa-ink' x1='478.7' y1='99.5' x2='437.8' y2='111.0' stroke-width='1' opacity='0.6'/><text class='sa-dim sa-halo' x='437.8' y='111.0' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='400'>CART</text><line class='sa-ink' x1='473.1' y1='136.8' x2='397.6' y2='148.7' stroke-width='1' opacity='0.6'/><text class='sa-dim sa-halo' x='397.6' y='148.7' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='400'>GainRatio</text><line class='sa-ink' x1='490.5' y1='139.5' x2='581.1' y2='177.2' stroke-width='1' opacity='0.6'/><text class='sa-dim sa-halo' x='581.1' y='177.2' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='400'>MarkovBlanket</text><line class='sa-ink' x1='812.3' y1='154.2' x2='828.6' y2='167.9' stroke-width='1' opacity='0.6'/><text class='sa-dim sa-halo' x='828.6' y='167.9' text-anchor='middle' 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data-tip='mRMR&#10;Improvement over Random: 17.9%&#10;Selection time per 1k features: 33 s&#10;Datasets: 71' aria-label='mRMR&#10;Improvement over Random: 17.9%&#10;Selection time per 1k features: 33 s&#10;Datasets: 71'/><circle class='sa-hit' cx='802.2' cy='97.1' r='10.5' data-tip='(R)ReliefF&#10;Improvement over Random: 17.7%&#10;Selection time per 1k features: 2.39e+04 s&#10;Datasets: 71' aria-label='(R)ReliefF&#10;Improvement over Random: 17.7%&#10;Selection time per 1k features: 2.39e+04 s&#10;Datasets: 71'/><circle class='sa-hit' cx='478.7' cy='99.5' r='10.5' data-tip='CART&#10;Improvement over Random: 17.5%&#10;Selection time per 1k features: 14.4 s&#10;Datasets: 71' aria-label='CART&#10;Improvement over Random: 17.5%&#10;Selection time per 1k features: 14.4 s&#10;Datasets: 71'/><circle class='sa-hit' cx='473.1' cy='136.8' r='10.5' data-tip='GainRatio&#10;Improvement over Random: 15.0%&#10;Selection time per 1k features: 12.7 s&#10;Datasets: 71&#10;Next to MarkovBlanket: 14.8%, 18.9 s' aria-label='GainRatio&#10;Improvement over Random: 15.0%&#10;Selection time per 1k features: 12.7 s&#10;Datasets: 71&#10;Next to MarkovBlanket: 14.8%, 18.9 s'/><circle class='sa-hit' cx='490.5' cy='139.5' r='10.5' data-tip='MarkovBlanket&#10;Improvement over Random: 14.8%&#10;Selection time per 1k features: 18.9 s&#10;Datasets: 71&#10;Next to GainRatio: 15.0%, 12.7 s' aria-label='MarkovBlanket&#10;Improvement over Random: 14.8%&#10;Selection time per 1k features: 18.9 s&#10;Datasets: 71&#10;Next to GainRatio: 15.0%, 12.7 s'/><circle class='sa-hit' cx='812.3' cy='154.2' r='10.5' data-tip='SFS&#10;Improvement over Random: 13.8%&#10;Selection time per 1k features: 3.01e+04 s&#10;Datasets: 71' aria-label='SFS&#10;Improvement over Random: 13.8%&#10;Selection time per 1k features: 3.01e+04 s&#10;Datasets: 71'/><circle class='sa-hit' cx='744.6' cy='235.7' r='10.5' data-tip='LOCO&#10;Improvement over Random: 8.1%&#10;Selection time per 1k features: 6.39e+03 s&#10;Datasets: 71' 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36
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  ElasticNet,20.6265,2189.5545,71,False
data/subsets/tasks_all/models_linearmodel/budgets_2/website_leaderboard.csv CHANGED
@@ -1,16 +1,16 @@
1
- Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Avg. rank,Win rate (%),Improvability (%),Error vs. all features,Stability,Validity,Selection time (s),Fallback rate (%),#Datasets,#Comparisons
2
- 1,ElasticNet,Non-search,Regularization,1313.0,1257.0,1376.0,5.75,66.1,14.0,,0.481,0.777,6.3,0.0,71,213
3
- 2,Lasso,Non-search,Regularization,1274.0,1219.0,1331.0,6.11,63.5,14.2,,0.389,0.73,1.8,0.0,71,213
4
- 3,RFImportance,Non-search,Tree,1263.0,1213.0,1321.0,6.51,60.7,14.9,,0.676,0.691,0.2,0.0,71,213
5
- 4,MI,Non-search,Information theory,1258.0,1213.0,1303.0,6.65,59.6,16.8,,0.683,0.815,0.4,0.0,71,213
6
- 5,F-Test,Non-search,Correlation,1216.0,1171.0,1262.0,7.2,55.7,17.6,,0.706,0.879,0.0,0.0,71,213
7
- 6,CART,Non-search,Tree,1203.0,1154.0,1258.0,7.48,53.7,19.7,,0.444,0.572,0.1,0.0,71,213
8
- 7,GainRatio,Non-search,Information theory,1185.0,1139.0,1230.0,8.04,49.7,20.8,,0.67,0.856,0.2,0.0,71,213
9
- 8,mRMR,Non-search,Information theory,1173.0,1123.0,1221.0,7.81,51.4,19.1,,0.614,0.66,0.4,0.0,71,213
10
- 9,MarkovBlanket,Search,Backward search,1172.0,1129.0,1214.0,8.03,49.8,21.5,,0.413,0.447,0.1,0.0,71,213
11
- 10,SFS,Search,Forward search,1172.0,1126.0,1215.0,7.82,51.3,20.7,,0.239,0.627,2264.7,47.9,71,213
12
- 11,(R)ReliefF,Non-search,Distance,1168.0,1123.0,1212.0,8.41,47.1,19.5,,0.673,0.757,12.8,0.0,71,213
13
- 12,LOCO,Search,Leave-one-out,1109.0,1061.0,1150.0,8.81,44.2,25.7,,0.151,0.575,242.0,6.1,71,213
14
- 13,SBE,Search,Backward search,1088.0,1039.0,1135.0,8.94,43.3,25.1,,0.144,0.556,2787.0,48.4,71,213
15
- 14,Random,Baseline,Baseline,1000.0,935.0,1056.0,10.69,30.8,31.5,,-0.001,0.513,0.0,0.0,71,213
16
- 15,LaplacianScore,Non-search,Distance,942.0,868.0,997.0,11.74,23.3,37.1,,0.66,0.827,0.2,0.0,71,213
 
1
+ Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Avg. rank,Win rate (%),Improvability (%),Improvement over Random (%),Error vs. all features,Stability,Validity,Selection time (s),Fallback rate (%),#Datasets,#Comparisons
2
+ 1,ElasticNet,Non-search,Regularization,1313.0,1257.0,1376.0,5.75,66.1,14.0,20.6,,0.481,0.777,6.3,0.0,71,213
3
+ 2,Lasso,Non-search,Regularization,1274.0,1219.0,1331.0,6.11,63.5,14.2,19.4,,0.389,0.73,1.8,0.0,71,213
4
+ 3,RFImportance,Non-search,Tree,1263.0,1213.0,1321.0,6.51,60.7,14.9,22.2,,0.676,0.691,0.2,0.0,71,213
5
+ 4,MI,Non-search,Information theory,1258.0,1213.0,1303.0,6.65,59.6,16.8,20.9,,0.683,0.815,0.4,0.0,71,213
6
+ 5,F-Test,Non-search,Correlation,1216.0,1171.0,1262.0,7.2,55.7,17.6,18.6,,0.706,0.879,0.0,0.0,71,213
7
+ 6,CART,Non-search,Tree,1203.0,1154.0,1258.0,7.48,53.7,19.7,17.5,,0.444,0.572,0.1,0.0,71,213
8
+ 7,GainRatio,Non-search,Information theory,1185.0,1139.0,1230.0,8.04,49.7,20.8,15.0,,0.67,0.856,0.2,0.0,71,213
9
+ 8,mRMR,Non-search,Information theory,1173.0,1123.0,1221.0,7.81,51.4,19.1,17.9,,0.614,0.66,0.4,0.0,71,213
10
+ 9,MarkovBlanket,Search,Backward search,1172.0,1129.0,1214.0,8.03,49.8,21.5,14.8,,0.413,0.447,0.1,0.0,71,213
11
+ 10,SFS,Search,Forward search,1172.0,1126.0,1215.0,7.82,51.3,20.7,13.8,,0.239,0.627,2264.7,47.9,71,213
12
+ 11,(R)ReliefF,Non-search,Distance,1168.0,1123.0,1212.0,8.41,47.1,19.5,17.7,,0.673,0.757,12.8,0.0,71,213
13
+ 12,LOCO,Search,Leave-one-out,1109.0,1061.0,1150.0,8.81,44.2,25.7,8.1,,0.151,0.575,242.0,6.1,71,213
14
+ 13,SBE,Search,Backward search,1088.0,1039.0,1135.0,8.94,43.3,25.1,7.5,,0.144,0.556,2787.0,48.4,71,213
15
+ 14,Random,Baseline,Baseline,1000.0,935.0,1056.0,10.69,30.8,31.5,0.0,,-0.001,0.513,0.0,0.0,71,213
16
+ 15,LaplacianScore,Non-search,Distance,942.0,868.0,997.0,11.74,23.3,37.1,-52.8,,0.66,0.827,0.2,0.0,71,213
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32
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35
- </style></head><body><div class='toolbar'><span class='hint'>Click a column to sort. Hover a header for its definition. Stability and validity are shaded as in the Elo figure: darker is better.</span><button onclick="saCsv('selectarena_leaderboard.csv')">CSV</button></div><div class='wrap'><table id='sa-table'><thead><tr><th class='num' title='Rank by Elo.'>#</th><th class=''>Method</th><th class='' title='Taxonomy of the paper (Appendix A). Search methods evaluate many feature subsets with the model (forward, backward, leave-one-out); non-search methods use a proxy instead (correlation, distance, information theory, tree, regularization).'>Type</th><th class='num' title='Bradley-Terry Elo from pairwise matches within each dataset, budget and downstream model. Random = 1000. +/βˆ’ give the 95% bootstrap interval.'>Elo ↑</th><th class='num' title='Mean rank of the downstream error.'>Avg. rank ↓</th><th class='num' title='Mean relative gap (error βˆ’ best error) / error to the best method, in %.'>Improvability ↓</th><th class='num' title='Agreement of the selected features across bootstrap resamples (Nogueira et al., 2018).'>Stability ↑</th><th class='num' title='Share of the budget filled with original features when as many noise features are added.'>Validity ↑</th><th class='num' title='Median wall-clock time of the selection.'>Time (s) ↓</th><th class='num' title='Share of runs where the method ran out of time and random features filled the budget.'>Fallback (%)</th></tr></thead><tbody><tr><td class='num' data-sort='1'><span class='medal' role='img' aria-label='gold medal'>πŸ₯‡</span>1</td><td class='method' data-sort='RFImportance'>RFImportance</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1246.0'>1246<span class='sub'>+54 / βˆ’51</span></td><td class='num' data-sort='6.28'>6.28</td><td class='num' data-sort='12.0'>12.0</td><td class='num shaded' data-sort='0.661' style='background:rgba(0,114,178,0.52)'>0.661</td><td class='num shaded' data-sort='0.6' style='background:rgba(213,94,0,0.48)'>0.600</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='2'><span class='medal' role='img' aria-label='silver medal'>πŸ₯ˆ</span>2</td><td class='method' data-sort='ElasticNet'>ElasticNet</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1237.0'>1237<span class='sub'>+55 / βˆ’48</span></td><td class='num' data-sort='6.43'>6.43</td><td class='num' data-sort='12.7'>12.7</td><td class='num shaded' data-sort='0.419' style='background:rgba(0,114,178,0.36)'>0.419</td><td class='num shaded' data-sort='0.665' style='background:rgba(213,94,0,0.53)'>0.665</td><td class='num' data-sort='6.2'>6.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='3'><span class='medal' role='img' aria-label='bronze medal'>πŸ₯‰</span>3</td><td class='method' data-sort='Lasso'>Lasso</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1223.0'>1223<span class='sub'>+63 / βˆ’54</span></td><td class='num' data-sort='6.65'>6.65</td><td class='num' data-sort='13.6'>13.6</td><td class='num shaded' data-sort='0.334' style='background:rgba(0,114,178,0.30)'>0.334</td><td class='num shaded' data-sort='0.643' style='background:rgba(213,94,0,0.51)'>0.643</td><td class='num' data-sort='1.9'>1.9</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='4'><span class='medal'></span>4</td><td class='method' data-sort='MI'>MI</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1213.0'>1213<span class='sub'>+49 / βˆ’47</span></td><td class='num' data-sort='6.88'>6.88</td><td class='num' data-sort='14.5'>14.5</td><td class='num shaded' data-sort='0.649' style='background:rgba(0,114,178,0.51)'>0.649</td><td class='num shaded' data-sort='0.723' style='background:rgba(213,94,0,0.56)'>0.723</td><td class='num' data-sort='0.4'>0.4</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='5'><span class='medal'></span>5</td><td class='method' data-sort='F-Test'>F-Test</td><td class='' data-sort='Correlation'><span class='pill cat-non-search'>Correlation</span><span class='sub'>non-search</span></td><td class='num' data-sort='1186.0'>1186<span class='sub'>+45 / βˆ’46</span></td><td class='num' data-sort='7.21'>7.21</td><td class='num' data-sort='15.8'>15.8</td><td class='num shaded' data-sort='0.668' style='background:rgba(0,114,178,0.53)'>0.668</td><td class='num shaded' data-sort='0.781' style='background:rgba(213,94,0,0.60)'>0.781</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='6'><span class='medal'></span>6</td><td class='method' data-sort='CART'>CART</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1162.0'>1162<span class='sub'>+49 / βˆ’44</span></td><td class='num' data-sort='7.32'>7.32</td><td class='num' data-sort='16.0'>16.0</td><td class='num shaded' data-sort='0.402' style='background:rgba(0,114,178,0.35)'>0.402</td><td class='num shaded' data-sort='0.507' style='background:rgba(213,94,0,0.42)'>0.507</td><td class='num' data-sort='0.1'>0.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='7'><span class='medal'></span>7</td><td class='method' data-sort='mRMR'>mRMR</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1152.0'>1152<span class='sub'>+47 / βˆ’47</span></td><td class='num' data-sort='7.7'>7.70</td><td class='num' data-sort='15.6'>15.6</td><td class='num shaded' data-sort='0.656' style='background:rgba(0,114,178,0.52)'>0.656</td><td class='num shaded' data-sort='0.593' style='background:rgba(213,94,0,0.48)'>0.593</td><td class='num' data-sort='0.5'>0.5</td><td class='num' data-sort='7.0'>7.0</td></tr><tr><td class='num' data-sort='8'><span class='medal'></span>8</td><td class='method' data-sort='SFS'>SFS</td><td class='' data-sort='Forward search'><span class='pill cat-search'>Forward search</span><span class='sub'>search</span></td><td class='num' data-sort='1130.0'>1130<span class='sub'>+45 / βˆ’50</span></td><td class='num' data-sort='7.96'>7.96</td><td class='num' data-sort='17.8'>17.8</td><td class='num shaded' data-sort='0.225' style='background:rgba(0,114,178,0.23)'>0.225</td><td class='num shaded' data-sort='0.568' style='background:rgba(213,94,0,0.46)'>0.568</td><td class='num' data-sort='2680.3'>2,680.3</td><td class='num' data-sort='48.4'>48.4</td></tr><tr><td class='num' data-sort='9'><span class='medal'></span>9</td><td class='method' data-sort='(R)ReliefF'>(R)ReliefF</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='1124.0'>1124<span class='sub'>+45 / βˆ’40</span></td><td class='num' data-sort='8.39'>8.39</td><td class='num' data-sort='16.5'>16.5</td><td class='num shaded' data-sort='0.656' style='background:rgba(0,114,178,0.52)'>0.656</td><td class='num shaded' data-sort='0.667' style='background:rgba(213,94,0,0.53)'>0.667</td><td class='num' data-sort='13.2'>13.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='10'><span class='medal'></span>10</td><td class='method' data-sort='SBE'>SBE</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1121.0'>1121<span class='sub'>+49 / βˆ’57</span></td><td class='num' data-sort='8.51'>8.51</td><td class='num' data-sort='19.3'>19.3</td><td class='num shaded' data-sort='0.095' style='background:rgba(0,114,178,0.14)'>0.095</td><td class='num shaded' data-sort='0.53' style='background:rgba(213,94,0,0.44)'>0.530</td><td class='num' data-sort='1866.7'>1,866.7</td><td class='num' data-sort='45.1'>45.1</td></tr><tr><td class='num' data-sort='11'><span class='medal'></span>11</td><td class='method' data-sort='GainRatio'>GainRatio</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1119.0'>1119<span class='sub'>+46 / βˆ’43</span></td><td class='num' data-sort='8.55'>8.55</td><td class='num' data-sort='17.6'>17.6</td><td class='num shaded' data-sort='0.641' style='background:rgba(0,114,178,0.51)'>0.641</td><td class='num shaded' data-sort='0.751' style='background:rgba(213,94,0,0.58)'>0.751</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='12'><span class='medal'></span>12</td><td class='method' data-sort='LOCO'>LOCO</td><td class='' data-sort='Leave-one-out'><span class='pill cat-search'>Leave-one-out</span><span class='sub'>search</span></td><td class='num' data-sort='1108.0'>1108<span class='sub'>+42 / βˆ’46</span></td><td class='num' data-sort='8.34'>8.34</td><td class='num' data-sort='19.1'>19.1</td><td class='num shaded' data-sort='0.114' style='background:rgba(0,114,178,0.16)'>0.114</td><td class='num shaded' data-sort='0.544' style='background:rgba(213,94,0,0.44)'>0.544</td><td class='num' data-sort='246.0'>246.0</td><td class='num' data-sort='11.7'>11.7</td></tr><tr><td class='num' data-sort='13'><span class='medal'></span>13</td><td class='method' data-sort='MarkovBlanket'>MarkovBlanket</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1106.0'>1106<span class='sub'>+46 / βˆ’48</span></td><td class='num' data-sort='8.73'>8.73</td><td class='num' data-sort='19.0'>19.0</td><td class='num shaded' data-sort='0.434' style='background:rgba(0,114,178,0.37)'>0.434</td><td class='num shaded' data-sort='0.473' style='background:rgba(213,94,0,0.40)'>0.473</td><td class='num' data-sort='0.1'>0.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='14'><span class='medal'></span>14</td><td class='method' data-sort='Random'>Random</td><td class='' data-sort='Baseline'><span class='pill cat-baseline'>Baseline</span></td><td class='num' data-sort='1000.0'>1000<span class='sub'>+47 / βˆ’53</span></td><td class='num' data-sort='9.98'>9.98</td><td class='num' data-sort='23.7'>23.7</td><td class='num shaded' data-sort='0.002' style='background:rgba(0,114,178,0.08)'>0.002</td><td class='num shaded' data-sort='0.494' style='background:rgba(213,94,0,0.41)'>0.494</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='15'><span class='medal'></span>15</td><td class='method' data-sort='LaplacianScore'>LaplacianScore</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='977.0'>977<span class='sub'>+58 / βˆ’69</span></td><td class='num' data-sort='11.07'>11.07</td><td class='num' data-sort='29.8'>29.8</td><td class='num shaded' data-sort='0.689' style='background:rgba(0,114,178,0.54)'>0.689</td><td class='num shaded' data-sort='0.758' style='background:rgba(213,94,0,0.59)'>0.758</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr></tbody></table></div><script type='text/plain' id='sa-csv'>Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Avg. rank,Win rate (%),Improvability (%),Error vs. all features,Stability,Validity,Selection time (s),Fallback rate (%),#Datasets,#Comparisons
36
- 1,RFImportance,Non-search,Tree,1246.0,1195.0,1300.0,6.28,62.3,12.0,,0.661,0.6,0.2,0.0,71,213
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- 2,ElasticNet,Non-search,Regularization,1237.0,1189.0,1292.0,6.43,61.2,12.7,,0.419,0.665,6.2,0.0,71,213
38
- 3,Lasso,Non-search,Regularization,1223.0,1169.0,1286.0,6.65,59.7,13.6,,0.334,0.643,1.9,0.0,71,213
39
- 4,MI,Non-search,Information theory,1213.0,1166.0,1262.0,6.88,58.0,14.5,,0.649,0.723,0.4,0.0,71,213
40
- 5,F-Test,Non-search,Correlation,1186.0,1140.0,1231.0,7.21,55.6,15.8,,0.668,0.781,0.0,0.0,71,213
41
- 6,CART,Non-search,Tree,1162.0,1118.0,1211.0,7.32,54.8,16.0,,0.402,0.507,0.1,0.0,71,213
42
- 7,mRMR,Non-search,Information theory,1152.0,1105.0,1199.0,7.7,52.1,15.6,,0.656,0.593,0.5,7.0,71,213
43
- 8,SFS,Search,Forward search,1130.0,1080.0,1175.0,7.96,50.3,17.8,,0.225,0.568,2680.3,48.4,71,213
44
- 9,(R)ReliefF,Non-search,Distance,1124.0,1084.0,1169.0,8.39,47.2,16.5,,0.656,0.667,13.2,0.0,71,213
45
- 10,SBE,Search,Backward search,1121.0,1064.0,1170.0,8.51,46.4,19.3,,0.095,0.53,1866.7,45.1,71,213
46
- 11,GainRatio,Non-search,Information theory,1119.0,1076.0,1165.0,8.55,46.1,17.6,,0.641,0.751,0.2,0.0,71,213
47
- 12,LOCO,Search,Leave-one-out,1108.0,1062.0,1150.0,8.34,47.6,19.1,,0.114,0.544,246.0,11.7,71,213
48
- 13,MarkovBlanket,Search,Backward search,1106.0,1058.0,1152.0,8.73,44.8,19.0,,0.434,0.473,0.1,0.0,71,213
49
- 14,Random,Baseline,Baseline,1000.0,947.0,1047.0,9.98,35.8,23.7,,0.002,0.494,0.0,0.0,71,213
50
- 15,LaplacianScore,Non-search,Distance,977.0,908.0,1035.0,11.07,28.1,29.8,,0.689,0.758,0.2,0.0,71,213
51
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+ </style></head><body><div class='toolbar'><span class='hint'>Click a column to sort. Hover a header for its definition. Stability and validity are shaded as in the Elo figure: darker is better.</span><button onclick="saCsv('selectarena_leaderboard.csv')">CSV</button></div><div class='wrap'><table id='sa-table'><thead><tr><th class='num' title='Rank by Elo.'>#</th><th class=''>Method</th><th class='' title='Taxonomy of the paper (Appendix A). Search methods evaluate many feature subsets with the model (forward, backward, leave-one-out); non-search methods use a proxy instead (correlation, distance, information theory, tree, regularization).'>Type</th><th class='num' title='Bradley-Terry Elo from pairwise matches within each dataset, budget and downstream model. Random = 1000. +/βˆ’ give the 95% bootstrap interval.'>Elo ↑</th><th class='num' title='Mean reduction of the downstream error compared with random selection on the same dataset, in % (as in the Pareto figure; Random is 0).'>Improvement over Random ↑</th><th class='num' title='Agreement of the selected features across bootstrap resamples (Nogueira et al., 2018).'>Stability ↑</th><th class='num' title='Share of the budget filled with original features when as many noise features are added.'>Validity ↑</th><th class='num' title='Median wall-clock time of the selection.'>Time (s) ↓</th><th class='num' title='Share of runs where the method ran out of time and random features filled the budget.'>Fallback (%)</th></tr></thead><tbody><tr><td class='num' data-sort='1'><span class='medal' role='img' aria-label='gold medal'>πŸ₯‡</span>1</td><td class='method' data-sort='RFImportance'>RFImportance</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1246.0'>1246<span class='sub'>+54 / βˆ’51</span></td><td class='num' data-sort='15.9'>15.9</td><td class='num shaded' data-sort='0.661' style='background:rgba(0,114,178,0.52)'>0.661</td><td class='num shaded' data-sort='0.6' style='background:rgba(213,94,0,0.48)'>0.600</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='2'><span class='medal' role='img' aria-label='silver medal'>πŸ₯ˆ</span>2</td><td class='method' data-sort='ElasticNet'>ElasticNet</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1237.0'>1237<span class='sub'>+55 / βˆ’48</span></td><td class='num' data-sort='13.7'>13.7</td><td class='num shaded' data-sort='0.419' style='background:rgba(0,114,178,0.36)'>0.419</td><td class='num shaded' data-sort='0.665' style='background:rgba(213,94,0,0.53)'>0.665</td><td class='num' data-sort='6.2'>6.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='3'><span class='medal' role='img' aria-label='bronze medal'>πŸ₯‰</span>3</td><td class='method' data-sort='Lasso'>Lasso</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1223.0'>1223<span class='sub'>+63 / βˆ’54</span></td><td class='num' data-sort='12.2'>12.2</td><td class='num shaded' data-sort='0.334' style='background:rgba(0,114,178,0.30)'>0.334</td><td class='num shaded' data-sort='0.643' style='background:rgba(213,94,0,0.51)'>0.643</td><td class='num' data-sort='1.9'>1.9</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='4'><span class='medal'></span>4</td><td class='method' data-sort='MI'>MI</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1213.0'>1213<span class='sub'>+49 / βˆ’47</span></td><td class='num' data-sort='12.5'>12.5</td><td class='num shaded' data-sort='0.649' style='background:rgba(0,114,178,0.51)'>0.649</td><td class='num shaded' data-sort='0.723' style='background:rgba(213,94,0,0.56)'>0.723</td><td class='num' data-sort='0.4'>0.4</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='5'><span class='medal'></span>5</td><td class='method' data-sort='F-Test'>F-Test</td><td class='' data-sort='Correlation'><span class='pill cat-non-search'>Correlation</span><span class='sub'>non-search</span></td><td class='num' data-sort='1186.0'>1186<span class='sub'>+45 / βˆ’46</span></td><td class='num' data-sort='11.1'>11.1</td><td class='num shaded' data-sort='0.668' style='background:rgba(0,114,178,0.53)'>0.668</td><td class='num shaded' data-sort='0.781' style='background:rgba(213,94,0,0.60)'>0.781</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='6'><span class='medal'></span>6</td><td class='method' data-sort='CART'>CART</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1162.0'>1162<span class='sub'>+49 / βˆ’44</span></td><td class='num' data-sort='11.1'>11.1</td><td class='num shaded' data-sort='0.402' style='background:rgba(0,114,178,0.35)'>0.402</td><td class='num shaded' data-sort='0.507' style='background:rgba(213,94,0,0.42)'>0.507</td><td class='num' data-sort='0.1'>0.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='7'><span class='medal'></span>7</td><td class='method' data-sort='mRMR'>mRMR</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1152.0'>1152<span class='sub'>+47 / βˆ’47</span></td><td class='num' data-sort='11.8'>11.8</td><td class='num shaded' data-sort='0.656' style='background:rgba(0,114,178,0.52)'>0.656</td><td class='num shaded' data-sort='0.593' style='background:rgba(213,94,0,0.48)'>0.593</td><td class='num' data-sort='0.5'>0.5</td><td class='num' data-sort='7.0'>7.0</td></tr><tr><td class='num' data-sort='8'><span class='medal'></span>8</td><td class='method' data-sort='SFS'>SFS</td><td class='' data-sort='Forward search'><span class='pill cat-search'>Forward search</span><span class='sub'>search</span></td><td class='num' data-sort='1130.0'>1130<span class='sub'>+45 / βˆ’50</span></td><td class='num' data-sort='7.8'>7.8</td><td class='num shaded' data-sort='0.225' style='background:rgba(0,114,178,0.23)'>0.225</td><td class='num shaded' data-sort='0.568' style='background:rgba(213,94,0,0.46)'>0.568</td><td class='num' data-sort='2680.3'>2,680.3</td><td class='num' data-sort='48.4'>48.4</td></tr><tr><td class='num' data-sort='9'><span class='medal'></span>9</td><td class='method' data-sort='(R)ReliefF'>(R)ReliefF</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='1124.0'>1124<span class='sub'>+45 / βˆ’40</span></td><td class='num' data-sort='9.2'>9.2</td><td class='num shaded' data-sort='0.656' style='background:rgba(0,114,178,0.52)'>0.656</td><td class='num shaded' data-sort='0.667' style='background:rgba(213,94,0,0.53)'>0.667</td><td class='num' data-sort='13.2'>13.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='10'><span class='medal'></span>10</td><td class='method' data-sort='SBE'>SBE</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1121.0'>1121<span class='sub'>+49 / βˆ’57</span></td><td class='num' data-sort='5.8'>5.8</td><td class='num shaded' data-sort='0.095' style='background:rgba(0,114,178,0.14)'>0.095</td><td class='num shaded' data-sort='0.53' style='background:rgba(213,94,0,0.44)'>0.530</td><td class='num' data-sort='1866.7'>1,866.7</td><td class='num' data-sort='45.1'>45.1</td></tr><tr><td class='num' data-sort='11'><span class='medal'></span>11</td><td class='method' data-sort='GainRatio'>GainRatio</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1119.0'>1119<span class='sub'>+46 / βˆ’43</span></td><td class='num' data-sort='9.2'>9.2</td><td class='num shaded' data-sort='0.641' style='background:rgba(0,114,178,0.51)'>0.641</td><td class='num shaded' data-sort='0.751' style='background:rgba(213,94,0,0.58)'>0.751</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='12'><span class='medal'></span>12</td><td class='method' data-sort='LOCO'>LOCO</td><td class='' data-sort='Leave-one-out'><span class='pill cat-search'>Leave-one-out</span><span class='sub'>search</span></td><td class='num' data-sort='1108.0'>1108<span class='sub'>+42 / βˆ’46</span></td><td class='num' data-sort='6.5'>6.5</td><td class='num shaded' data-sort='0.114' style='background:rgba(0,114,178,0.16)'>0.114</td><td class='num shaded' data-sort='0.544' style='background:rgba(213,94,0,0.44)'>0.544</td><td class='num' data-sort='246.0'>246.0</td><td class='num' data-sort='11.7'>11.7</td></tr><tr><td class='num' data-sort='13'><span class='medal'></span>13</td><td class='method' data-sort='MarkovBlanket'>MarkovBlanket</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1106.0'>1106<span class='sub'>+46 / βˆ’48</span></td><td class='num' data-sort='7.8'>7.8</td><td class='num shaded' data-sort='0.434' style='background:rgba(0,114,178,0.37)'>0.434</td><td class='num shaded' data-sort='0.473' style='background:rgba(213,94,0,0.40)'>0.473</td><td class='num' data-sort='0.1'>0.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='14'><span class='medal'></span>14</td><td class='method' data-sort='Random'>Random</td><td class='' data-sort='Baseline'><span class='pill cat-baseline'>Baseline</span></td><td class='num' data-sort='1000.0'>1000<span class='sub'>+47 / βˆ’53</span></td><td class='num' data-sort='0.0'>0.0</td><td class='num shaded' data-sort='0.002' style='background:rgba(0,114,178,0.08)'>0.002</td><td class='num shaded' data-sort='0.494' style='background:rgba(213,94,0,0.41)'>0.494</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='15'><span class='medal'></span>15</td><td class='method' data-sort='LaplacianScore'>LaplacianScore</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='977.0'>977<span class='sub'>+58 / βˆ’69</span></td><td class='num' data-sort='-21.5'>-21.5</td><td class='num shaded' data-sort='0.689' style='background:rgba(0,114,178,0.54)'>0.689</td><td class='num shaded' data-sort='0.758' style='background:rgba(213,94,0,0.59)'>0.758</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr></tbody></table></div><script type='text/plain' id='sa-csv'>Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Improvement over Random (%),Stability,Validity,Selection time (s),Fallback rate (%)
36
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37
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38
+ 3,Lasso,Non-search,Regularization,1223.0,1169.0,1286.0,12.2,0.334,0.643,1.9,0.0
39
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40
+ 5,F-Test,Non-search,Correlation,1186.0,1140.0,1231.0,11.1,0.668,0.781,0.0,0.0
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+ 6,CART,Non-search,Tree,1162.0,1118.0,1211.0,11.1,0.402,0.507,0.1,0.0
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+ 7,mRMR,Non-search,Information theory,1152.0,1105.0,1199.0,11.8,0.656,0.593,0.5,7.0
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+ 8,SFS,Search,Forward search,1130.0,1080.0,1175.0,7.8,0.225,0.568,2680.3,48.4
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+ 9,(R)ReliefF,Non-search,Distance,1124.0,1084.0,1169.0,9.2,0.656,0.667,13.2,0.0
45
+ 10,SBE,Search,Backward search,1121.0,1064.0,1170.0,5.8,0.095,0.53,1866.7,45.1
46
+ 11,GainRatio,Non-search,Information theory,1119.0,1076.0,1165.0,9.2,0.641,0.751,0.2,0.0
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48
+ 13,MarkovBlanket,Search,Backward search,1106.0,1058.0,1152.0,7.8,0.434,0.473,0.1,0.0
49
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data/subsets/tasks_all/models_linearmodel/budgets_3/website_leaderboard.csv CHANGED
@@ -1,16 +1,16 @@
1
- Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Avg. rank,Win rate (%),Improvability (%),Error vs. all features,Stability,Validity,Selection time (s),Fallback rate (%),#Datasets,#Comparisons
2
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- 3,Lasso,Non-search,Regularization,1223.0,1169.0,1286.0,6.65,59.7,13.6,,0.334,0.643,1.9,0.0,71,213
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- 4,MI,Non-search,Information theory,1213.0,1166.0,1262.0,6.88,58.0,14.5,,0.649,0.723,0.4,0.0,71,213
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- 5,F-Test,Non-search,Correlation,1186.0,1140.0,1231.0,7.21,55.6,15.8,,0.668,0.781,0.0,0.0,71,213
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- 6,CART,Non-search,Tree,1162.0,1118.0,1211.0,7.32,54.8,16.0,,0.402,0.507,0.1,0.0,71,213
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- 7,mRMR,Non-search,Information theory,1152.0,1105.0,1199.0,7.7,52.1,15.6,,0.656,0.593,0.5,7.0,71,213
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- 8,SFS,Search,Forward search,1130.0,1080.0,1175.0,7.96,50.3,17.8,,0.225,0.568,2680.3,48.4,71,213
10
- 9,(R)ReliefF,Non-search,Distance,1124.0,1084.0,1169.0,8.39,47.2,16.5,,0.656,0.667,13.2,0.0,71,213
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- 10,SBE,Search,Backward search,1121.0,1064.0,1170.0,8.51,46.4,19.3,,0.095,0.53,1866.7,45.1,71,213
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- 11,GainRatio,Non-search,Information theory,1119.0,1076.0,1165.0,8.55,46.1,17.6,,0.641,0.751,0.2,0.0,71,213
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- 12,LOCO,Search,Leave-one-out,1108.0,1062.0,1150.0,8.34,47.6,19.1,,0.114,0.544,246.0,11.7,71,213
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- 13,MarkovBlanket,Search,Backward search,1106.0,1058.0,1152.0,8.73,44.8,19.0,,0.434,0.473,0.1,0.0,71,213
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1
+ Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Avg. rank,Win rate (%),Improvability (%),Improvement over Random (%),Error vs. all features,Stability,Validity,Selection time (s),Fallback rate (%),#Datasets,#Comparisons
2
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+ 7,mRMR,Non-search,Information theory,1152.0,1105.0,1199.0,7.7,52.1,15.6,11.8,,0.656,0.593,0.5,7.0,71,213
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+ 8,SFS,Search,Forward search,1130.0,1080.0,1175.0,7.96,50.3,17.8,7.8,,0.225,0.568,2680.3,48.4,71,213
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11
+ 10,SBE,Search,Backward search,1121.0,1064.0,1170.0,8.51,46.4,19.3,5.8,,0.095,0.53,1866.7,45.1,71,213
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+ 11,GainRatio,Non-search,Information theory,1119.0,1076.0,1165.0,8.55,46.1,17.6,9.2,,0.641,0.751,0.2,0.0,71,213
13
+ 12,LOCO,Search,Leave-one-out,1108.0,1062.0,1150.0,8.34,47.6,19.1,6.5,,0.114,0.544,246.0,11.7,71,213
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- </style></head><body><div class='toolbar'><span class='hint'>Click a column to sort. Hover a header for its definition. Stability and validity are shaded as in the Elo figure: darker is better.</span><button onclick="saCsv('selectarena_leaderboard.csv')">CSV</button></div><div class='wrap'><table id='sa-table'><thead><tr><th class='num' title='Rank by Elo.'>#</th><th class=''>Method</th><th class='' title='Taxonomy of the paper (Appendix A). Search methods evaluate many feature subsets with the model (forward, backward, leave-one-out); non-search methods use a proxy instead (correlation, distance, information theory, tree, regularization).'>Type</th><th class='num' title='Bradley-Terry Elo from pairwise matches within each dataset, budget and downstream model. Random = 1000. +/βˆ’ give the 95% bootstrap interval.'>Elo ↑</th><th class='num' title='Mean rank of the downstream error.'>Avg. rank ↓</th><th class='num' title='Mean relative gap (error βˆ’ best error) / error to the best method, in %.'>Improvability ↓</th><th class='num' title='Agreement of the selected features across bootstrap resamples (Nogueira et al., 2018).'>Stability ↑</th><th class='num' title='Share of the budget filled with original features when as many noise features are added.'>Validity ↑</th><th class='num' title='Median wall-clock time of the selection.'>Time (s) ↓</th><th class='num' title='Share of runs where the method ran out of time and random features filled the budget.'>Fallback (%)</th></tr></thead><tbody><tr><td class='num' data-sort='1'><span class='medal' role='img' aria-label='gold medal'>πŸ₯‡</span>1</td><td class='method' data-sort='RFImportance'>RFImportance</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1220.0'>1220<span class='sub'>+53 / βˆ’48</span></td><td class='num' data-sort='6.72'>6.72</td><td class='num' data-sort='10.2'>10.2</td><td class='num shaded' data-sort='0.597' style='background:rgba(0,114,178,0.48)'>0.597</td><td class='num shaded' data-sort='0.507' style='background:rgba(213,94,0,0.42)'>0.507</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='2'><span class='medal' role='img' aria-label='silver medal'>πŸ₯ˆ</span>2</td><td class='method' data-sort='F-Test'>F-Test</td><td class='' data-sort='Correlation'><span class='pill cat-non-search'>Correlation</span><span class='sub'>non-search</span></td><td class='num' data-sort='1189.0'>1189<span class='sub'>+48 / βˆ’44</span></td><td class='num' data-sort='7.21'>7.21</td><td class='num' data-sort='11.1'>11.1</td><td class='num shaded' data-sort='0.562' style='background:rgba(0,114,178,0.46)'>0.562</td><td class='num shaded' data-sort='0.689' style='background:rgba(213,94,0,0.54)'>0.689</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='3'><span class='medal' role='img' aria-label='bronze medal'>πŸ₯‰</span>3</td><td class='method' data-sort='ElasticNet'>ElasticNet</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1187.0'>1187<span class='sub'>+48 / βˆ’39</span></td><td class='num' data-sort='7.06'>7.06</td><td class='num' data-sort='10.5'>10.5</td><td class='num shaded' data-sort='0.308' style='background:rgba(0,114,178,0.29)'>0.308</td><td class='num shaded' data-sort='0.568' style='background:rgba(213,94,0,0.46)'>0.568</td><td class='num' data-sort='6.2'>6.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='4'><span class='medal'></span>4</td><td class='method' data-sort='MI'>MI</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1182.0'>1182<span class='sub'>+43 / βˆ’42</span></td><td class='num' data-sort='7.14'>7.14</td><td class='num' data-sort='11.0'>11.0</td><td class='num shaded' data-sort='0.587' style='background:rgba(0,114,178,0.47)'>0.587</td><td class='num shaded' data-sort='0.627' style='background:rgba(213,94,0,0.50)'>0.627</td><td class='num' data-sort='0.4'>0.4</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='5'><span class='medal'></span>5</td><td class='method' data-sort='mRMR'>mRMR</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1176.0'>1176<span class='sub'>+46 / βˆ’47</span></td><td class='num' data-sort='7.62'>7.62</td><td class='num' data-sort='10.6'>10.6</td><td class='num shaded' data-sort='0.651' style='background:rgba(0,114,178,0.52)'>0.651</td><td class='num shaded' data-sort='0.53' style='background:rgba(213,94,0,0.44)'>0.530</td><td class='num' data-sort='0.4'>0.4</td><td class='num' data-sort='9.9'>9.9</td></tr><tr><td class='num' data-sort='6'><span class='medal'></span>6</td><td class='method' data-sort='Lasso'>Lasso</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1170.0'>1170<span class='sub'>+54 / βˆ’46</span></td><td class='num' data-sort='7.1'>7.10</td><td class='num' data-sort='11.6'>11.6</td><td class='num shaded' data-sort='0.246' style='background:rgba(0,114,178,0.24)'>0.246</td><td class='num shaded' data-sort='0.563' style='background:rgba(213,94,0,0.46)'>0.563</td><td class='num' data-sort='1.8'>1.8</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='7'><span class='medal'></span>7</td><td class='method' data-sort='CART'>CART</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1169.0'>1169<span class='sub'>+49 / βˆ’45</span></td><td class='num' data-sort='7.55'>7.55</td><td class='num' data-sort='12.6'>12.6</td><td class='num shaded' data-sort='0.324' style='background:rgba(0,114,178,0.30)'>0.324</td><td class='num shaded' data-sort='0.482' style='background:rgba(213,94,0,0.40)'>0.482</td><td class='num' data-sort='0.1'>0.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='8'><span class='medal'></span>8</td><td class='method' data-sort='(R)ReliefF'>(R)ReliefF</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='1138.0'>1138<span class='sub'>+52 / βˆ’45</span></td><td class='num' data-sort='8.11'>8.11</td><td class='num' data-sort='11.9'>11.9</td><td class='num shaded' data-sort='0.612' style='background:rgba(0,114,178,0.49)'>0.612</td><td class='num shaded' data-sort='0.594' style='background:rgba(213,94,0,0.48)'>0.594</td><td class='num' data-sort='13.4'>13.4</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='9'><span class='medal'></span>9</td><td class='method' data-sort='GainRatio'>GainRatio</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1121.0'>1121<span class='sub'>+49 / βˆ’49</span></td><td class='num' data-sort='8.42'>8.42</td><td class='num' data-sort='12.9'>12.9</td><td class='num shaded' data-sort='0.55' style='background:rgba(0,114,178,0.45)'>0.550</td><td class='num shaded' data-sort='0.659' style='background:rgba(213,94,0,0.52)'>0.659</td><td class='num' data-sort='0.1'>0.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='10'><span class='medal'></span>10</td><td class='method' data-sort='MarkovBlanket'>MarkovBlanket</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1114.0'>1114<span class='sub'>+49 / βˆ’53</span></td><td class='num' data-sort='8.54'>8.54</td><td class='num' data-sort='12.6'>12.6</td><td class='num shaded' data-sort='0.404' style='background:rgba(0,114,178,0.35)'>0.404</td><td class='num shaded' data-sort='0.463' style='background:rgba(213,94,0,0.39)'>0.463</td><td class='num' data-sort='0.1'>0.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='11'><span class='medal'></span>11</td><td class='method' data-sort='SBE'>SBE</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1111.0'>1111<span class='sub'>+45 / βˆ’53</span></td><td class='num' data-sort='8.55'>8.55</td><td class='num' data-sort='14.8'>14.8</td><td class='num shaded' data-sort='0.059' style='background:rgba(0,114,178,0.12)'>0.059</td><td class='num shaded' data-sort='0.517' style='background:rgba(213,94,0,0.43)'>0.517</td><td class='num' data-sort='1035.1'>1,035.1</td><td class='num' data-sort='41.3'>41.3</td></tr><tr><td class='num' data-sort='12'><span class='medal'></span>12</td><td class='method' data-sort='SFS'>SFS</td><td class='' data-sort='Forward search'><span class='pill cat-search'>Forward search</span><span class='sub'>search</span></td><td class='num' data-sort='1102.0'>1102<span class='sub'>+46 / βˆ’46</span></td><td class='num' data-sort='8.47'>8.47</td><td class='num' data-sort='15.2'>15.2</td><td class='num shaded' data-sort='0.176' style='background:rgba(0,114,178,0.20)'>0.176</td><td class='num shaded' data-sort='0.525' style='background:rgba(213,94,0,0.43)'>0.525</td><td class='num' data-sort='3042.8'>3,042.8</td><td class='num' data-sort='48.8'>48.8</td></tr><tr><td class='num' data-sort='13'><span class='medal'></span>13</td><td class='method' data-sort='LOCO'>LOCO</td><td class='' data-sort='Leave-one-out'><span class='pill cat-search'>Leave-one-out</span><span class='sub'>search</span></td><td class='num' data-sort='1089.0'>1089<span class='sub'>+45 / βˆ’46</span></td><td class='num' data-sort='8.29'>8.29</td><td class='num' data-sort='15.2'>15.2</td><td class='num shaded' data-sort='0.08' style='background:rgba(0,114,178,0.13)'>0.080</td><td class='num shaded' data-sort='0.52' style='background:rgba(213,94,0,0.43)'>0.520</td><td class='num' data-sort='234.7'>234.7</td><td class='num' data-sort='18.3'>18.3</td></tr><tr><td class='num' data-sort='14'><span class='medal'></span>14</td><td class='method' data-sort='LaplacianScore'>LaplacianScore</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='1042.0'>1042<span class='sub'>+56 / βˆ’66</span></td><td class='num' data-sort='9.77'>9.77</td><td class='num' data-sort='20.5'>20.5</td><td class='num shaded' data-sort='0.678' style='background:rgba(0,114,178,0.53)'>0.678</td><td class='num shaded' data-sort='0.701' style='background:rgba(213,94,0,0.55)'>0.701</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='15'><span class='medal'></span>15</td><td class='method' data-sort='Random'>Random</td><td class='' data-sort='Baseline'><span class='pill cat-baseline'>Baseline</span></td><td class='num' data-sort='1000.0'>1000<span class='sub'>+52 / βˆ’59</span></td><td class='num' data-sort='9.46'>9.46</td><td class='num' data-sort='17.7'>17.7</td><td class='num shaded' data-sort='0.002' style='background:rgba(0,114,178,0.08)'>0.002</td><td class='num shaded' data-sort='0.5' style='background:rgba(213,94,0,0.42)'>0.500</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr></tbody></table></div><script type='text/plain' id='sa-csv'>Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Avg. rank,Win rate (%),Improvability (%),Error vs. all features,Stability,Validity,Selection time (s),Fallback rate (%),#Datasets,#Comparisons
36
- 1,RFImportance,Non-search,Tree,1220.0,1172.0,1273.0,6.72,59.2,10.2,,0.597,0.507,0.2,0.0,71,213
37
- 2,F-Test,Non-search,Correlation,1189.0,1145.0,1237.0,7.21,55.6,11.1,,0.562,0.689,0.0,0.0,71,213
38
- 3,ElasticNet,Non-search,Regularization,1187.0,1148.0,1235.0,7.06,56.7,10.5,,0.308,0.568,6.2,0.0,71,213
39
- 4,MI,Non-search,Information theory,1182.0,1140.0,1225.0,7.14,56.1,11.0,,0.587,0.627,0.4,0.0,71,213
40
- 5,mRMR,Non-search,Information theory,1176.0,1129.0,1222.0,7.62,52.8,10.6,,0.651,0.53,0.4,9.9,71,213
41
- 6,Lasso,Non-search,Regularization,1170.0,1124.0,1224.0,7.1,56.4,11.6,,0.246,0.563,1.8,0.0,71,213
42
- 7,CART,Non-search,Tree,1169.0,1124.0,1218.0,7.55,53.2,12.6,,0.324,0.482,0.1,0.0,71,213
43
- 8,(R)ReliefF,Non-search,Distance,1138.0,1093.0,1190.0,8.11,49.2,11.9,,0.612,0.594,13.4,0.0,71,213
44
- 9,GainRatio,Non-search,Information theory,1121.0,1072.0,1170.0,8.42,47.0,12.9,,0.55,0.659,0.1,0.0,71,213
45
- 10,MarkovBlanket,Search,Backward search,1114.0,1061.0,1163.0,8.54,46.2,12.6,,0.404,0.463,0.1,0.0,71,213
46
- 11,SBE,Search,Backward search,1111.0,1058.0,1156.0,8.55,46.1,14.8,,0.059,0.517,1035.1,41.3,71,213
47
- 12,SFS,Search,Forward search,1102.0,1056.0,1148.0,8.47,46.7,15.2,,0.176,0.525,3042.8,48.8,71,213
48
- 13,LOCO,Search,Leave-one-out,1089.0,1043.0,1134.0,8.29,47.9,15.2,,0.08,0.52,234.7,18.3,71,213
49
- 14,LaplacianScore,Non-search,Distance,1042.0,976.0,1098.0,9.77,37.4,20.5,,0.678,0.701,0.2,0.0,71,213
50
- 15,Random,Baseline,Baseline,1000.0,941.0,1052.0,9.46,39.5,17.7,,0.002,0.5,0.0,0.0,71,213
51
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35
+ </style></head><body><div class='toolbar'><span class='hint'>Click a column to sort. Hover a header for its definition. Stability and validity are shaded as in the Elo figure: darker is better.</span><button onclick="saCsv('selectarena_leaderboard.csv')">CSV</button></div><div class='wrap'><table id='sa-table'><thead><tr><th class='num' title='Rank by Elo.'>#</th><th class=''>Method</th><th class='' title='Taxonomy of the paper (Appendix A). Search methods evaluate many feature subsets with the model (forward, backward, leave-one-out); non-search methods use a proxy instead (correlation, distance, information theory, tree, regularization).'>Type</th><th class='num' title='Bradley-Terry Elo from pairwise matches within each dataset, budget and downstream model. Random = 1000. +/βˆ’ give the 95% bootstrap interval.'>Elo ↑</th><th class='num' title='Mean reduction of the downstream error compared with random selection on the same dataset, in % (as in the Pareto figure; Random is 0).'>Improvement over Random ↑</th><th class='num' title='Agreement of the selected features across bootstrap resamples (Nogueira et al., 2018).'>Stability ↑</th><th class='num' title='Share of the budget filled with original features when as many noise features are added.'>Validity ↑</th><th class='num' title='Median wall-clock time of the selection.'>Time (s) ↓</th><th class='num' title='Share of runs where the method ran out of time and random features filled the budget.'>Fallback (%)</th></tr></thead><tbody><tr><td class='num' data-sort='1'><span class='medal' role='img' aria-label='gold medal'>πŸ₯‡</span>1</td><td class='method' data-sort='RFImportance'>RFImportance</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1220.0'>1220<span class='sub'>+53 / βˆ’48</span></td><td class='num' data-sort='10.6'>10.6</td><td class='num shaded' data-sort='0.597' style='background:rgba(0,114,178,0.48)'>0.597</td><td class='num shaded' data-sort='0.507' style='background:rgba(213,94,0,0.42)'>0.507</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='2'><span class='medal' role='img' aria-label='silver medal'>πŸ₯ˆ</span>2</td><td class='method' data-sort='F-Test'>F-Test</td><td class='' data-sort='Correlation'><span class='pill cat-non-search'>Correlation</span><span class='sub'>non-search</span></td><td class='num' data-sort='1189.0'>1189<span class='sub'>+48 / βˆ’44</span></td><td class='num' data-sort='8.0'>8.0</td><td class='num shaded' data-sort='0.562' style='background:rgba(0,114,178,0.46)'>0.562</td><td class='num shaded' data-sort='0.689' style='background:rgba(213,94,0,0.54)'>0.689</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='3'><span class='medal' role='img' aria-label='bronze medal'>πŸ₯‰</span>3</td><td class='method' data-sort='ElasticNet'>ElasticNet</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1187.0'>1187<span class='sub'>+48 / βˆ’39</span></td><td class='num' data-sort='9.5'>9.5</td><td class='num shaded' data-sort='0.308' style='background:rgba(0,114,178,0.29)'>0.308</td><td class='num shaded' data-sort='0.568' style='background:rgba(213,94,0,0.46)'>0.568</td><td class='num' data-sort='6.2'>6.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='4'><span class='medal'></span>4</td><td class='method' data-sort='MI'>MI</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1182.0'>1182<span class='sub'>+43 / βˆ’42</span></td><td class='num' data-sort='7.5'>7.5</td><td class='num shaded' data-sort='0.587' style='background:rgba(0,114,178,0.47)'>0.587</td><td class='num shaded' data-sort='0.627' style='background:rgba(213,94,0,0.50)'>0.627</td><td class='num' data-sort='0.4'>0.4</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='5'><span class='medal'></span>5</td><td class='method' data-sort='mRMR'>mRMR</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1176.0'>1176<span class='sub'>+46 / βˆ’47</span></td><td class='num' data-sort='9.5'>9.5</td><td class='num shaded' data-sort='0.651' style='background:rgba(0,114,178,0.52)'>0.651</td><td class='num shaded' data-sort='0.53' style='background:rgba(213,94,0,0.44)'>0.530</td><td class='num' data-sort='0.4'>0.4</td><td class='num' data-sort='9.9'>9.9</td></tr><tr><td class='num' data-sort='6'><span class='medal'></span>6</td><td class='method' data-sort='Lasso'>Lasso</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1170.0'>1170<span class='sub'>+54 / βˆ’46</span></td><td class='num' data-sort='6.8'>6.8</td><td class='num shaded' data-sort='0.246' style='background:rgba(0,114,178,0.24)'>0.246</td><td class='num shaded' data-sort='0.563' style='background:rgba(213,94,0,0.46)'>0.563</td><td class='num' data-sort='1.8'>1.8</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='7'><span class='medal'></span>7</td><td class='method' data-sort='CART'>CART</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1169.0'>1169<span class='sub'>+49 / βˆ’45</span></td><td class='num' data-sort='6.9'>6.9</td><td class='num shaded' data-sort='0.324' style='background:rgba(0,114,178,0.30)'>0.324</td><td class='num shaded' data-sort='0.482' style='background:rgba(213,94,0,0.40)'>0.482</td><td class='num' data-sort='0.1'>0.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='8'><span class='medal'></span>8</td><td class='method' data-sort='(R)ReliefF'>(R)ReliefF</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='1138.0'>1138<span class='sub'>+52 / βˆ’45</span></td><td class='num' data-sort='6.5'>6.5</td><td class='num shaded' data-sort='0.612' style='background:rgba(0,114,178,0.49)'>0.612</td><td class='num shaded' data-sort='0.594' style='background:rgba(213,94,0,0.48)'>0.594</td><td class='num' data-sort='13.4'>13.4</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='9'><span class='medal'></span>9</td><td class='method' data-sort='GainRatio'>GainRatio</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1121.0'>1121<span class='sub'>+49 / βˆ’49</span></td><td class='num' data-sort='7.4'>7.4</td><td class='num shaded' data-sort='0.55' style='background:rgba(0,114,178,0.45)'>0.550</td><td class='num shaded' data-sort='0.659' style='background:rgba(213,94,0,0.52)'>0.659</td><td class='num' data-sort='0.1'>0.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='10'><span class='medal'></span>10</td><td class='method' data-sort='MarkovBlanket'>MarkovBlanket</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1114.0'>1114<span class='sub'>+49 / βˆ’53</span></td><td class='num' data-sort='7.4'>7.4</td><td class='num shaded' data-sort='0.404' style='background:rgba(0,114,178,0.35)'>0.404</td><td class='num shaded' data-sort='0.463' style='background:rgba(213,94,0,0.39)'>0.463</td><td class='num' data-sort='0.1'>0.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='11'><span class='medal'></span>11</td><td class='method' data-sort='SBE'>SBE</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1111.0'>1111<span class='sub'>+45 / βˆ’53</span></td><td class='num' data-sort='3.3'>3.3</td><td class='num shaded' data-sort='0.059' style='background:rgba(0,114,178,0.12)'>0.059</td><td class='num shaded' data-sort='0.517' style='background:rgba(213,94,0,0.43)'>0.517</td><td class='num' data-sort='1035.1'>1,035.1</td><td class='num' data-sort='41.3'>41.3</td></tr><tr><td class='num' data-sort='12'><span class='medal'></span>12</td><td class='method' data-sort='SFS'>SFS</td><td class='' data-sort='Forward search'><span class='pill cat-search'>Forward search</span><span class='sub'>search</span></td><td class='num' data-sort='1102.0'>1102<span class='sub'>+46 / βˆ’46</span></td><td class='num' data-sort='4.0'>4.0</td><td class='num shaded' data-sort='0.176' style='background:rgba(0,114,178,0.20)'>0.176</td><td class='num shaded' data-sort='0.525' style='background:rgba(213,94,0,0.43)'>0.525</td><td class='num' data-sort='3042.8'>3,042.8</td><td class='num' data-sort='48.8'>48.8</td></tr><tr><td class='num' data-sort='13'><span class='medal'></span>13</td><td class='method' data-sort='LOCO'>LOCO</td><td class='' data-sort='Leave-one-out'><span class='pill cat-search'>Leave-one-out</span><span class='sub'>search</span></td><td class='num' data-sort='1089.0'>1089<span class='sub'>+45 / βˆ’46</span></td><td class='num' data-sort='3.6'>3.6</td><td class='num shaded' data-sort='0.08' style='background:rgba(0,114,178,0.13)'>0.080</td><td class='num shaded' data-sort='0.52' style='background:rgba(213,94,0,0.43)'>0.520</td><td class='num' data-sort='234.7'>234.7</td><td class='num' data-sort='18.3'>18.3</td></tr><tr><td class='num' data-sort='14'><span class='medal'></span>14</td><td class='method' data-sort='LaplacianScore'>LaplacianScore</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='1042.0'>1042<span class='sub'>+56 / βˆ’66</span></td><td class='num' data-sort='-39154926337779.6'>-39,154,926,337,779.6</td><td class='num shaded' data-sort='0.678' style='background:rgba(0,114,178,0.53)'>0.678</td><td class='num shaded' data-sort='0.701' style='background:rgba(213,94,0,0.55)'>0.701</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='15'><span class='medal'></span>15</td><td class='method' data-sort='Random'>Random</td><td class='' data-sort='Baseline'><span class='pill cat-baseline'>Baseline</span></td><td class='num' data-sort='1000.0'>1000<span class='sub'>+52 / βˆ’59</span></td><td class='num' data-sort='0.0'>0.0</td><td class='num shaded' data-sort='0.002' style='background:rgba(0,114,178,0.08)'>0.002</td><td class='num shaded' data-sort='0.5' style='background:rgba(213,94,0,0.42)'>0.500</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr></tbody></table></div><script type='text/plain' id='sa-csv'>Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Improvement over Random (%),Stability,Validity,Selection time (s),Fallback rate (%)
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Random: 7.4%&#10;Selection time per 1k features: 12.7 s&#10;Datasets: 71&#10;Next to MarkovBlanket: 7.4%, 17.9 s&#10;Next to CART: 6.9%, 14.4 s'/><circle class='sa-hit' cx='483.4' cy='127.0' r='10.5' data-tip='MarkovBlanket&#10;Improvement over Random: 7.4%&#10;Selection time per 1k features: 17.9 s&#10;Datasets: 71&#10;Next to GainRatio: 7.4%, 12.7 s&#10;Next to CART: 6.9%, 14.4 s' aria-label='MarkovBlanket&#10;Improvement over Random: 7.4%&#10;Selection time per 1k features: 17.9 s&#10;Datasets: 71&#10;Next to GainRatio: 7.4%, 12.7 s&#10;Next to CART: 6.9%, 14.4 s'/><circle class='sa-hit' cx='474.3' cy='143.8' r='10.5' data-tip='CART&#10;Improvement over Random: 6.9%&#10;Selection time per 1k features: 14.4 s&#10;Datasets: 71&#10;Next to GainRatio: 7.4%, 12.7 s&#10;Next to MarkovBlanket: 7.4%, 17.9 s' aria-label='CART&#10;Improvement over Random: 6.9%&#10;Selection time per 1k features: 14.4 s&#10;Datasets: 71&#10;Next to GainRatio: 7.4%, 12.7 s&#10;Next to MarkovBlanket: 7.4%, 17.9 s'/><circle class='sa-hit' cx='687.2' cy='147.5' r='10.5' data-tip='Lasso&#10;Improvement over Random: 6.8%&#10;Selection time per 1k features: 1.97e+03 s&#10;Datasets: 71' aria-label='Lasso&#10;Improvement over Random: 6.8%&#10;Selection time per 1k features: 1.97e+03 s&#10;Datasets: 71'/><circle class='sa-hit' cx='795.4' cy='154.8' r='10.5' data-tip='(R)ReliefF&#10;Improvement over Random: 6.5%&#10;Selection time per 1k features: 2.4e+04 s&#10;Datasets: 71' aria-label='(R)ReliefF&#10;Improvement over Random: 6.5%&#10;Selection time per 1k features: 2.4e+04 s&#10;Datasets: 71'/><circle class='sa-hit' cx='812.3' cy='231.0' r='10.5' data-tip='SFS&#10;Improvement over Random: 4.0%&#10;Selection time per 1k features: 3.54e+04 s&#10;Datasets: 71' aria-label='SFS&#10;Improvement over Random: 4.0%&#10;Selection time per 1k features: 3.54e+04 s&#10;Datasets: 71'/><circle class='sa-hit' cx='737.5' cy='243.4' r='10.5' data-tip='LOCO&#10;Improvement over Random: 3.6%&#10;Selection time per 1k features: 6.3e+03 s&#10;Datasets: 71' aria-label='LOCO&#10;Improvement over Random: 3.6%&#10;Selection time per 1k features: 6.3e+03 s&#10;Datasets: 71'/><circle class='sa-hit' cx='779.5' cy='251.6' r='10.5' data-tip='SBE&#10;Improvement over Random: 3.3%&#10;Selection time per 1k features: 1.66e+04 s&#10;Datasets: 71' aria-label='SBE&#10;Improvement over Random: 3.3%&#10;Selection time per 1k features: 1.66e+04 s&#10;Datasets: 71'/><circle class='sa-hit' cx='102.4' cy='352.0' r='10.5' data-tip='Random (on the Pareto front)&#10;Improvement over Random: 0.0%&#10;Selection time per 1k features: 0.0027 s&#10;Datasets: 71' aria-label='Random (on the Pareto front)&#10;Improvement over Random: 0.0%&#10;Selection time per 1k features: 0.0027 s&#10;Datasets: 71'/></svg><script type='text/plain' id='sa-csv'>method,improvement,time_per_1k,n_datasets,pareto_optimal
36
  RFImportance,10.5744,38.5313,71,True
37
  ElasticNet,9.5109,2038.5127,71,False
38
  mRMR,9.488,113.6585,71,False
data/subsets/tasks_all/models_linearmodel/budgets_4/website_leaderboard.csv CHANGED
@@ -1,16 +1,16 @@
1
- Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Avg. rank,Win rate (%),Improvability (%),Error vs. all features,Stability,Validity,Selection time (s),Fallback rate (%),#Datasets,#Comparisons
2
- 1,RFImportance,Non-search,Tree,1220.0,1172.0,1273.0,6.72,59.2,10.2,,0.597,0.507,0.2,0.0,71,213
3
- 2,F-Test,Non-search,Correlation,1189.0,1145.0,1237.0,7.21,55.6,11.1,,0.562,0.689,0.0,0.0,71,213
4
- 3,ElasticNet,Non-search,Regularization,1187.0,1148.0,1235.0,7.06,56.7,10.5,,0.308,0.568,6.2,0.0,71,213
5
- 4,MI,Non-search,Information theory,1182.0,1140.0,1225.0,7.14,56.1,11.0,,0.587,0.627,0.4,0.0,71,213
6
- 5,mRMR,Non-search,Information theory,1176.0,1129.0,1222.0,7.62,52.8,10.6,,0.651,0.53,0.4,9.9,71,213
7
- 6,Lasso,Non-search,Regularization,1170.0,1124.0,1224.0,7.1,56.4,11.6,,0.246,0.563,1.8,0.0,71,213
8
- 7,CART,Non-search,Tree,1169.0,1124.0,1218.0,7.55,53.2,12.6,,0.324,0.482,0.1,0.0,71,213
9
- 8,(R)ReliefF,Non-search,Distance,1138.0,1093.0,1190.0,8.11,49.2,11.9,,0.612,0.594,13.4,0.0,71,213
10
- 9,GainRatio,Non-search,Information theory,1121.0,1072.0,1170.0,8.42,47.0,12.9,,0.55,0.659,0.1,0.0,71,213
11
- 10,MarkovBlanket,Search,Backward search,1114.0,1061.0,1163.0,8.54,46.2,12.6,,0.404,0.463,0.1,0.0,71,213
12
- 11,SBE,Search,Backward search,1111.0,1058.0,1156.0,8.55,46.1,14.8,,0.059,0.517,1035.1,41.3,71,213
13
- 12,SFS,Search,Forward search,1102.0,1056.0,1148.0,8.47,46.7,15.2,,0.176,0.525,3042.8,48.8,71,213
14
- 13,LOCO,Search,Leave-one-out,1089.0,1043.0,1134.0,8.29,47.9,15.2,,0.08,0.52,234.7,18.3,71,213
15
- 14,LaplacianScore,Non-search,Distance,1042.0,976.0,1098.0,9.77,37.4,20.5,,0.678,0.701,0.2,0.0,71,213
16
- 15,Random,Baseline,Baseline,1000.0,941.0,1052.0,9.46,39.5,17.7,,0.002,0.5,0.0,0.0,71,213
 
1
+ Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Avg. rank,Win rate (%),Improvability (%),Improvement over Random (%),Error vs. all features,Stability,Validity,Selection time (s),Fallback rate (%),#Datasets,#Comparisons
2
+ 1,RFImportance,Non-search,Tree,1220.0,1172.0,1273.0,6.72,59.2,10.2,10.6,,0.597,0.507,0.2,0.0,71,213
3
+ 2,F-Test,Non-search,Correlation,1189.0,1145.0,1237.0,7.21,55.6,11.1,8.0,,0.562,0.689,0.0,0.0,71,213
4
+ 3,ElasticNet,Non-search,Regularization,1187.0,1148.0,1235.0,7.06,56.7,10.5,9.5,,0.308,0.568,6.2,0.0,71,213
5
+ 4,MI,Non-search,Information theory,1182.0,1140.0,1225.0,7.14,56.1,11.0,7.5,,0.587,0.627,0.4,0.0,71,213
6
+ 5,mRMR,Non-search,Information theory,1176.0,1129.0,1222.0,7.62,52.8,10.6,9.5,,0.651,0.53,0.4,9.9,71,213
7
+ 6,Lasso,Non-search,Regularization,1170.0,1124.0,1224.0,7.1,56.4,11.6,6.8,,0.246,0.563,1.8,0.0,71,213
8
+ 7,CART,Non-search,Tree,1169.0,1124.0,1218.0,7.55,53.2,12.6,6.9,,0.324,0.482,0.1,0.0,71,213
9
+ 8,(R)ReliefF,Non-search,Distance,1138.0,1093.0,1190.0,8.11,49.2,11.9,6.5,,0.612,0.594,13.4,0.0,71,213
10
+ 9,GainRatio,Non-search,Information theory,1121.0,1072.0,1170.0,8.42,47.0,12.9,7.4,,0.55,0.659,0.1,0.0,71,213
11
+ 10,MarkovBlanket,Search,Backward search,1114.0,1061.0,1163.0,8.54,46.2,12.6,7.4,,0.404,0.463,0.1,0.0,71,213
12
+ 11,SBE,Search,Backward search,1111.0,1058.0,1156.0,8.55,46.1,14.8,3.3,,0.059,0.517,1035.1,41.3,71,213
13
+ 12,SFS,Search,Forward search,1102.0,1056.0,1148.0,8.47,46.7,15.2,4.0,,0.176,0.525,3042.8,48.8,71,213
14
+ 13,LOCO,Search,Leave-one-out,1089.0,1043.0,1134.0,8.29,47.9,15.2,3.6,,0.08,0.52,234.7,18.3,71,213
15
+ 14,LaplacianScore,Non-search,Distance,1042.0,976.0,1098.0,9.77,37.4,20.5,-39154926337779.6,,0.678,0.701,0.2,0.0,71,213
16
+ 15,Random,Baseline,Baseline,1000.0,941.0,1052.0,9.46,39.5,17.7,0.0,,0.002,0.5,0.0,0.0,71,213
data/subsets/tasks_all/models_linearmodel/budgets_all/leaderboard_table.html CHANGED
@@ -32,22 +32,22 @@ td.na { color:var(--muted); }
32
  .pill.cat-baseline { color:var(--muted); }
33
  .medal { display:inline-block; width:1.4em; text-align:center; font-size:15px; line-height:1; }
34
  td.shaded { font-weight:600; }
35
- </style></head><body><div class='toolbar'><span class='hint'>Click a column to sort. Hover a header for its definition. Stability and validity are shaded as in the Elo figure: darker is better.</span><button onclick="saCsv('selectarena_leaderboard.csv')">CSV</button></div><div class='wrap'><table id='sa-table'><thead><tr><th class='num' title='Rank by Elo.'>#</th><th class=''>Method</th><th class='' title='Taxonomy of the paper (Appendix A). Search methods evaluate many feature subsets with the model (forward, backward, leave-one-out); non-search methods use a proxy instead (correlation, distance, information theory, tree, regularization).'>Type</th><th class='num' title='Bradley-Terry Elo from pairwise matches within each dataset, budget and downstream model. Random = 1000. +/βˆ’ give the 95% bootstrap interval.'>Elo ↑</th><th class='num' title='Mean rank of the downstream error.'>Avg. rank ↓</th><th class='num' title='Mean relative gap (error βˆ’ best error) / error to the best method, in %.'>Improvability ↓</th><th class='num' title='Agreement of the selected features across bootstrap resamples (Nogueira et al., 2018).'>Stability ↑</th><th class='num' title='Share of the budget filled with original features when as many noise features are added.'>Validity ↑</th><th class='num' title='Median wall-clock time of the selection.'>Time (s) ↓</th><th class='num' title='Share of runs where the method ran out of time and random features filled the budget.'>Fallback (%)</th></tr></thead><tbody><tr><td class='num' data-sort='1'><span class='medal' role='img' aria-label='gold medal'>πŸ₯‡</span>1</td><td class='method' data-sort='ElasticNet'>ElasticNet</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1286.0'>1286<span class='sub'>+43 / βˆ’39</span></td><td class='num' data-sort='6.26'>6.26</td><td class='num' data-sort='14.7'>14.7</td><td class='num shaded' data-sort='0.447' style='background:rgba(0,114,178,0.38)'>0.447</td><td class='num shaded' data-sort='0.76' style='background:rgba(213,94,0,0.59)'>0.760</td><td class='num' data-sort='6.2'>6.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='2'><span class='medal' role='img' aria-label='silver medal'>πŸ₯ˆ</span>2</td><td class='method' data-sort='RFImportance'>RFImportance</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1282.0'>1282<span class='sub'>+44 / βˆ’36</span></td><td class='num' data-sort='6.53'>6.53</td><td class='num' data-sort='14.2'>14.2</td><td class='num shaded' data-sort='0.643' style='background:rgba(0,114,178,0.51)'>0.643</td><td class='num shaded' data-sort='0.669' style='background:rgba(213,94,0,0.53)'>0.669</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='3'><span class='medal' role='img' aria-label='bronze medal'>πŸ₯‰</span>3</td><td class='method' data-sort='Lasso'>Lasso</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1259.0'>1259<span class='sub'>+43 / βˆ’41</span></td><td class='num' data-sort='6.57'>6.57</td><td class='num' data-sort='15.4'>15.4</td><td class='num shaded' data-sort='0.362' style='background:rgba(0,114,178,0.32)'>0.362</td><td class='num shaded' data-sort='0.73' style='background:rgba(213,94,0,0.57)'>0.730</td><td class='num' data-sort='1.9'>1.9</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='4'><span class='medal'></span>4</td><td class='method' data-sort='MI'>MI</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1257.0'>1257<span class='sub'>+32 / βˆ’30</span></td><td class='num' data-sort='6.8'>6.80</td><td class='num' data-sort='16.1'>16.1</td><td class='num shaded' data-sort='0.647' style='background:rgba(0,114,178,0.51)'>0.647</td><td class='num shaded' data-sort='0.785' style='background:rgba(213,94,0,0.61)'>0.785</td><td class='num' data-sort='0.4'>0.4</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='5'><span class='medal'></span>5</td><td class='method' data-sort='F-Test'>F-Test</td><td class='' data-sort='Correlation'><span class='pill cat-non-search'>Correlation</span><span class='sub'>non-search</span></td><td class='num' data-sort='1246.0'>1246<span class='sub'>+32 / βˆ’32</span></td><td class='num' data-sort='7.02'>7.02</td><td class='num' data-sort='16.7'>16.7</td><td class='num shaded' data-sort='0.679' style='background:rgba(0,114,178,0.53)'>0.679</td><td class='num shaded' data-sort='0.846' style='background:rgba(213,94,0,0.65)'>0.846</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='6'><span class='medal'></span>6</td><td class='method' data-sort='CART'>CART</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1232.0'>1232<span class='sub'>+41 / βˆ’36</span></td><td class='num' data-sort='7.2'>7.20</td><td class='num' data-sort='17.6'>17.6</td><td class='num shaded' data-sort='0.422' style='background:rgba(0,114,178,0.36)'>0.422</td><td class='num shaded' data-sort='0.586' style='background:rgba(213,94,0,0.47)'>0.586</td><td class='num' data-sort='0.1'>0.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='7'><span class='medal'></span>7</td><td class='method' data-sort='mRMR'>mRMR</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1213.0'>1213<span class='sub'>+34 / βˆ’34</span></td><td class='num' data-sort='7.6'>7.60</td><td class='num' data-sort='17.3'>17.3</td><td class='num shaded' data-sort='0.604' style='background:rgba(0,114,178,0.48)'>0.604</td><td class='num shaded' data-sort='0.655' style='background:rgba(213,94,0,0.52)'>0.655</td><td class='num' data-sort='0.4'>0.4</td><td class='num' data-sort='3.4'>3.4</td></tr><tr><td class='num' data-sort='8'><span class='medal'></span>8</td><td class='method' data-sort='MarkovBlanket'>MarkovBlanket</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1196.0'>1196<span class='sub'>+33 / βˆ’32</span></td><td class='num' data-sort='7.94'>7.94</td><td class='num' data-sort='19.0'>19.0</td><td class='num shaded' data-sort='0.413' style='background:rgba(0,114,178,0.36)'>0.413</td><td class='num shaded' data-sort='0.463' style='background:rgba(213,94,0,0.39)'>0.463</td><td class='num' data-sort='0.1'>0.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='9'><span class='medal'></span>9</td><td class='method' data-sort='GainRatio'>GainRatio</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1189.0'>1189<span class='sub'>+33 / βˆ’31</span></td><td class='num' data-sort='8.14'>8.14</td><td class='num' data-sort='19.8'>19.8</td><td class='num shaded' data-sort='0.644' style='background:rgba(0,114,178,0.51)'>0.644</td><td class='num shaded' data-sort='0.825' style='background:rgba(213,94,0,0.63)'>0.825</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='10'><span class='medal'></span>10</td><td class='method' data-sort='SFS'>SFS</td><td class='' data-sort='Forward search'><span class='pill cat-search'>Forward search</span><span class='sub'>search</span></td><td class='num' data-sort='1186.0'>1186<span class='sub'>+35 / βˆ’36</span></td><td class='num' data-sort='7.9'>7.90</td><td class='num' data-sort='19.7'>19.7</td><td class='num shaded' data-sort='0.267' style='background:rgba(0,114,178,0.26)'>0.267</td><td class='num shaded' data-sort='0.627' style='background:rgba(213,94,0,0.50)'>0.627</td><td class='num' data-sort='2071.2'>2,071.2</td><td class='num' data-sort='43.6'>43.6</td></tr><tr><td class='num' data-sort='11'><span class='medal'></span>11</td><td class='method' data-sort='(R)ReliefF'>(R)ReliefF</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='1169.0'>1169<span class='sub'>+33 / βˆ’35</span></td><td class='num' data-sort='8.51'>8.51</td><td class='num' data-sort='19.2'>19.2</td><td class='num shaded' data-sort='0.646' style='background:rgba(0,114,178,0.51)'>0.646</td><td class='num shaded' data-sort='0.74' style='background:rgba(213,94,0,0.58)'>0.740</td><td class='num' data-sort='13.2'>13.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='12'><span class='medal'></span>12</td><td class='method' data-sort='LOCO'>LOCO</td><td class='' data-sort='Leave-one-out'><span class='pill cat-search'>Leave-one-out</span><span class='sub'>search</span></td><td class='num' data-sort='1135.0'>1135<span class='sub'>+33 / βˆ’36</span></td><td class='num' data-sort='8.63'>8.63</td><td class='num' data-sort='23.0'>23.0</td><td class='num shaded' data-sort='0.173' style='background:rgba(0,114,178,0.20)'>0.173</td><td class='num shaded' data-sort='0.583' style='background:rgba(213,94,0,0.47)'>0.583</td><td class='num' data-sort='242.0'>242.0</td><td class='num' data-sort='7.2'>7.2</td></tr><tr><td class='num' data-sort='13'><span class='medal'></span>13</td><td class='method' data-sort='SBE'>SBE</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1130.0'>1130<span class='sub'>+34 / βˆ’40</span></td><td class='num' data-sort='8.89'>8.89</td><td class='num' data-sort='23.7'>23.7</td><td class='num shaded' data-sort='0.132' style='background:rgba(0,114,178,0.17)'>0.132</td><td class='num shaded' data-sort='0.56' style='background:rgba(213,94,0,0.46)'>0.560</td><td class='num' data-sort='2561.3'>2,561.3</td><td class='num' data-sort='46.7'>46.7</td></tr><tr><td class='num' data-sort='14'><span class='medal'></span>14</td><td class='method' data-sort='Random'>Random</td><td class='' data-sort='Baseline'><span class='pill cat-baseline'>Baseline</span></td><td class='num' data-sort='1000.0'>1000<span class='sub'>+36 / βˆ’39</span></td><td class='num' data-sort='10.67'>10.67</td><td class='num' data-sort='30.1'>30.1</td><td class='num shaded' data-sort='0.001' style='background:rgba(0,114,178,0.08)'>0.001</td><td class='num shaded' data-sort='0.5' style='background:rgba(213,94,0,0.42)'>0.500</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='15'><span class='medal'></span>15</td><td class='method' data-sort='LaplacianScore'>LaplacianScore</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='994.0'>994<span class='sub'>+46 / βˆ’54</span></td><td class='num' data-sort='11.34'>11.34</td><td class='num' data-sort='34.1'>34.1</td><td class='num shaded' data-sort='0.652' style='background:rgba(0,114,178,0.52)'>0.652</td><td class='num shaded' data-sort='0.797' style='background:rgba(213,94,0,0.61)'>0.797</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr></tbody></table></div><script type='text/plain' id='sa-csv'>Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Avg. rank,Win rate (%),Improvability (%),Error vs. all features,Stability,Validity,Selection time (s),Fallback rate (%),#Datasets,#Comparisons
36
- 1,ElasticNet,Non-search,Regularization,1286.0,1247.0,1329.0,6.26,62.4,14.7,,0.447,0.76,6.2,0.0,71,1065
37
- 2,RFImportance,Non-search,Tree,1282.0,1246.0,1326.0,6.53,60.5,14.2,,0.643,0.669,0.2,0.0,71,1065
38
- 3,Lasso,Non-search,Regularization,1259.0,1218.0,1302.0,6.57,60.2,15.4,,0.362,0.73,1.9,0.0,71,1065
39
- 4,MI,Non-search,Information theory,1257.0,1227.0,1289.0,6.8,58.5,16.1,,0.647,0.785,0.4,0.0,71,1065
40
- 5,F-Test,Non-search,Correlation,1246.0,1214.0,1278.0,7.02,57.0,16.7,,0.679,0.846,0.0,0.0,71,1065
41
- 6,CART,Non-search,Tree,1232.0,1196.0,1273.0,7.2,55.7,17.6,,0.422,0.586,0.1,0.0,71,1065
42
- 7,mRMR,Non-search,Information theory,1213.0,1179.0,1247.0,7.6,52.8,17.3,,0.604,0.655,0.4,3.4,71,1065
43
- 8,MarkovBlanket,Search,Backward search,1196.0,1164.0,1229.0,7.94,50.4,19.0,,0.413,0.463,0.1,0.0,71,1065
44
- 9,GainRatio,Non-search,Information theory,1189.0,1158.0,1222.0,8.14,49.0,19.8,,0.644,0.825,0.2,0.0,71,1065
45
- 10,SFS,Search,Forward search,1186.0,1150.0,1221.0,7.9,50.7,19.7,,0.267,0.627,2071.2,43.6,71,1065
46
- 11,(R)ReliefF,Non-search,Distance,1169.0,1134.0,1202.0,8.51,46.3,19.2,,0.646,0.74,13.2,0.0,71,1065
47
- 12,LOCO,Search,Leave-one-out,1135.0,1099.0,1168.0,8.63,45.5,23.0,,0.173,0.583,242.0,7.2,71,1065
48
- 13,SBE,Search,Backward search,1130.0,1090.0,1164.0,8.89,43.6,23.7,,0.132,0.56,2561.3,46.7,71,1065
49
- 14,Random,Baseline,Baseline,1000.0,961.0,1036.0,10.67,31.0,30.1,,0.001,0.5,0.0,0.0,71,1065
50
- 15,LaplacianScore,Non-search,Distance,994.0,940.0,1040.0,11.34,26.1,34.1,,0.652,0.797,0.2,0.0,71,1065
51
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+ </style></head><body><div class='toolbar'><span class='hint'>Click a column to sort. Hover a header for its definition. Stability and validity are shaded as in the Elo figure: darker is better.</span><button onclick="saCsv('selectarena_leaderboard.csv')">CSV</button></div><div class='wrap'><table id='sa-table'><thead><tr><th class='num' title='Rank by Elo.'>#</th><th class=''>Method</th><th class='' title='Taxonomy of the paper (Appendix A). Search methods evaluate many feature subsets with the model (forward, backward, leave-one-out); non-search methods use a proxy instead (correlation, distance, information theory, tree, regularization).'>Type</th><th class='num' title='Bradley-Terry Elo from pairwise matches within each dataset, budget and downstream model. Random = 1000. +/βˆ’ give the 95% bootstrap interval.'>Elo ↑</th><th class='num' title='Mean reduction of the downstream error compared with random selection on the same dataset, in % (as in the Pareto figure; Random is 0).'>Improvement over Random ↑</th><th class='num' title='Agreement of the selected features across bootstrap resamples (Nogueira et al., 2018).'>Stability ↑</th><th class='num' title='Share of the budget filled with original features when as many noise features are added.'>Validity ↑</th><th class='num' title='Median wall-clock time of the selection.'>Time (s) ↓</th><th class='num' title='Share of runs where the method ran out of time and random features filled the budget.'>Fallback (%)</th></tr></thead><tbody><tr><td class='num' data-sort='1'><span class='medal' role='img' aria-label='gold medal'>πŸ₯‡</span>1</td><td class='method' data-sort='ElasticNet'>ElasticNet</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1286.0'>1286<span class='sub'>+43 / βˆ’39</span></td><td class='num' data-sort='22.6'>22.6</td><td class='num shaded' data-sort='0.447' style='background:rgba(0,114,178,0.38)'>0.447</td><td class='num shaded' data-sort='0.76' style='background:rgba(213,94,0,0.59)'>0.760</td><td class='num' data-sort='6.2'>6.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='2'><span class='medal' role='img' aria-label='silver medal'>πŸ₯ˆ</span>2</td><td class='method' data-sort='RFImportance'>RFImportance</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1282.0'>1282<span class='sub'>+44 / βˆ’36</span></td><td class='num' data-sort='24.6'>24.6</td><td class='num shaded' data-sort='0.643' style='background:rgba(0,114,178,0.51)'>0.643</td><td class='num shaded' data-sort='0.669' style='background:rgba(213,94,0,0.53)'>0.669</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='3'><span class='medal' role='img' aria-label='bronze medal'>πŸ₯‰</span>3</td><td class='method' data-sort='Lasso'>Lasso</td><td class='' data-sort='Regularization'><span class='pill cat-non-search'>Regularization</span><span class='sub'>non-search</span></td><td class='num' data-sort='1259.0'>1259<span class='sub'>+43 / βˆ’41</span></td><td class='num' data-sort='21.7'>21.7</td><td class='num shaded' data-sort='0.362' style='background:rgba(0,114,178,0.32)'>0.362</td><td class='num shaded' data-sort='0.73' style='background:rgba(213,94,0,0.57)'>0.730</td><td class='num' data-sort='1.9'>1.9</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='4'><span class='medal'></span>4</td><td class='method' data-sort='MI'>MI</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1257.0'>1257<span class='sub'>+32 / βˆ’30</span></td><td class='num' data-sort='23.2'>23.2</td><td class='num shaded' data-sort='0.647' style='background:rgba(0,114,178,0.51)'>0.647</td><td class='num shaded' data-sort='0.785' style='background:rgba(213,94,0,0.61)'>0.785</td><td class='num' data-sort='0.4'>0.4</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='5'><span class='medal'></span>5</td><td class='method' data-sort='F-Test'>F-Test</td><td class='' data-sort='Correlation'><span class='pill cat-non-search'>Correlation</span><span class='sub'>non-search</span></td><td class='num' data-sort='1246.0'>1246<span class='sub'>+32 / βˆ’32</span></td><td class='num' data-sort='22.9'>22.9</td><td class='num shaded' data-sort='0.679' style='background:rgba(0,114,178,0.53)'>0.679</td><td class='num shaded' data-sort='0.846' style='background:rgba(213,94,0,0.65)'>0.846</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='6'><span class='medal'></span>6</td><td class='method' data-sort='CART'>CART</td><td class='' data-sort='Tree'><span class='pill cat-non-search'>Tree</span><span class='sub'>non-search</span></td><td class='num' data-sort='1232.0'>1232<span class='sub'>+41 / βˆ’36</span></td><td class='num' data-sort='22.0'>22.0</td><td class='num shaded' data-sort='0.422' style='background:rgba(0,114,178,0.36)'>0.422</td><td class='num shaded' data-sort='0.586' style='background:rgba(213,94,0,0.47)'>0.586</td><td class='num' data-sort='0.1'>0.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='7'><span class='medal'></span>7</td><td class='method' data-sort='mRMR'>mRMR</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1213.0'>1213<span class='sub'>+34 / βˆ’34</span></td><td class='num' data-sort='21.8'>21.8</td><td class='num shaded' data-sort='0.604' style='background:rgba(0,114,178,0.48)'>0.604</td><td class='num shaded' data-sort='0.655' style='background:rgba(213,94,0,0.52)'>0.655</td><td class='num' data-sort='0.4'>0.4</td><td class='num' data-sort='3.4'>3.4</td></tr><tr><td class='num' data-sort='8'><span class='medal'></span>8</td><td class='method' data-sort='MarkovBlanket'>MarkovBlanket</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1196.0'>1196<span class='sub'>+33 / βˆ’32</span></td><td class='num' data-sort='19.0'>19.0</td><td class='num shaded' data-sort='0.413' style='background:rgba(0,114,178,0.36)'>0.413</td><td class='num shaded' data-sort='0.463' style='background:rgba(213,94,0,0.39)'>0.463</td><td class='num' data-sort='0.1'>0.1</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='9'><span class='medal'></span>9</td><td class='method' data-sort='GainRatio'>GainRatio</td><td class='' data-sort='Information theory'><span class='pill cat-non-search'>Information theory</span><span class='sub'>non-search</span></td><td class='num' data-sort='1189.0'>1189<span class='sub'>+33 / βˆ’31</span></td><td class='num' data-sort='18.4'>18.4</td><td class='num shaded' data-sort='0.644' style='background:rgba(0,114,178,0.51)'>0.644</td><td class='num shaded' data-sort='0.825' style='background:rgba(213,94,0,0.63)'>0.825</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='10'><span class='medal'></span>10</td><td class='method' data-sort='SFS'>SFS</td><td class='' data-sort='Forward search'><span class='pill cat-search'>Forward search</span><span class='sub'>search</span></td><td class='num' data-sort='1186.0'>1186<span class='sub'>+35 / βˆ’36</span></td><td class='num' data-sort='17.7'>17.7</td><td class='num shaded' data-sort='0.267' style='background:rgba(0,114,178,0.26)'>0.267</td><td class='num shaded' data-sort='0.627' style='background:rgba(213,94,0,0.50)'>0.627</td><td class='num' data-sort='2071.2'>2,071.2</td><td class='num' data-sort='43.6'>43.6</td></tr><tr><td class='num' data-sort='11'><span class='medal'></span>11</td><td class='method' data-sort='(R)ReliefF'>(R)ReliefF</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='1169.0'>1169<span class='sub'>+33 / βˆ’35</span></td><td class='num' data-sort='16.3'>16.3</td><td class='num shaded' data-sort='0.646' style='background:rgba(0,114,178,0.51)'>0.646</td><td class='num shaded' data-sort='0.74' style='background:rgba(213,94,0,0.58)'>0.740</td><td class='num' data-sort='13.2'>13.2</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='12'><span class='medal'></span>12</td><td class='method' data-sort='LOCO'>LOCO</td><td class='' data-sort='Leave-one-out'><span class='pill cat-search'>Leave-one-out</span><span class='sub'>search</span></td><td class='num' data-sort='1135.0'>1135<span class='sub'>+33 / βˆ’36</span></td><td class='num' data-sort='12.0'>12.0</td><td class='num shaded' data-sort='0.173' style='background:rgba(0,114,178,0.20)'>0.173</td><td class='num shaded' data-sort='0.583' style='background:rgba(213,94,0,0.47)'>0.583</td><td class='num' data-sort='242.0'>242.0</td><td class='num' data-sort='7.2'>7.2</td></tr><tr><td class='num' data-sort='13'><span class='medal'></span>13</td><td class='method' data-sort='SBE'>SBE</td><td class='' data-sort='Backward search'><span class='pill cat-search'>Backward search</span><span class='sub'>search</span></td><td class='num' data-sort='1130.0'>1130<span class='sub'>+34 / βˆ’40</span></td><td class='num' data-sort='8.4'>8.4</td><td class='num shaded' data-sort='0.132' style='background:rgba(0,114,178,0.17)'>0.132</td><td class='num shaded' data-sort='0.56' style='background:rgba(213,94,0,0.46)'>0.560</td><td class='num' data-sort='2561.3'>2,561.3</td><td class='num' data-sort='46.7'>46.7</td></tr><tr><td class='num' data-sort='14'><span class='medal'></span>14</td><td class='method' data-sort='Random'>Random</td><td class='' data-sort='Baseline'><span class='pill cat-baseline'>Baseline</span></td><td class='num' data-sort='1000.0'>1000<span class='sub'>+36 / βˆ’39</span></td><td class='num' data-sort='0.0'>0.0</td><td class='num shaded' data-sort='0.001' style='background:rgba(0,114,178,0.08)'>0.001</td><td class='num shaded' data-sort='0.5' style='background:rgba(213,94,0,0.42)'>0.500</td><td class='num' data-sort='0.0'>0.0</td><td class='num' data-sort='0.0'>0.0</td></tr><tr><td class='num' data-sort='15'><span class='medal'></span>15</td><td class='method' data-sort='LaplacianScore'>LaplacianScore</td><td class='' data-sort='Distance'><span class='pill cat-non-search'>Distance</span><span class='sub'>non-search</span></td><td class='num' data-sort='994.0'>994<span class='sub'>+46 / βˆ’54</span></td><td class='num' data-sort='-14.4'>-14.4</td><td class='num shaded' data-sort='0.652' style='background:rgba(0,114,178,0.52)'>0.652</td><td class='num shaded' data-sort='0.797' style='background:rgba(213,94,0,0.61)'>0.797</td><td class='num' data-sort='0.2'>0.2</td><td class='num' data-sort='0.0'>0.0</td></tr></tbody></table></div><script type='text/plain' id='sa-csv'>Rank,Method,Category,Subgroup,Elo,Elo CI low,Elo CI high,Improvement over Random (%),Stability,Validity,Selection time (s),Fallback rate (%)
36
+ 1,ElasticNet,Non-search,Regularization,1286.0,1247.0,1329.0,22.6,0.447,0.76,6.2,0.0
37
+ 2,RFImportance,Non-search,Tree,1282.0,1246.0,1326.0,24.6,0.643,0.669,0.2,0.0
38
+ 3,Lasso,Non-search,Regularization,1259.0,1218.0,1302.0,21.7,0.362,0.73,1.9,0.0
39
+ 4,MI,Non-search,Information theory,1257.0,1227.0,1289.0,23.2,0.647,0.785,0.4,0.0
40
+ 5,F-Test,Non-search,Correlation,1246.0,1214.0,1278.0,22.9,0.679,0.846,0.0,0.0
41
+ 6,CART,Non-search,Tree,1232.0,1196.0,1273.0,22.0,0.422,0.586,0.1,0.0
42
+ 7,mRMR,Non-search,Information theory,1213.0,1179.0,1247.0,21.8,0.604,0.655,0.4,3.4
43
+ 8,MarkovBlanket,Search,Backward search,1196.0,1164.0,1229.0,19.0,0.413,0.463,0.1,0.0
44
+ 9,GainRatio,Non-search,Information theory,1189.0,1158.0,1222.0,18.4,0.644,0.825,0.2,0.0
45
+ 10,SFS,Search,Forward search,1186.0,1150.0,1221.0,17.7,0.267,0.627,2071.2,43.6
46
+ 11,(R)ReliefF,Non-search,Distance,1169.0,1134.0,1202.0,16.3,0.646,0.74,13.2,0.0
47
+ 12,LOCO,Search,Leave-one-out,1135.0,1099.0,1168.0,12.0,0.173,0.583,242.0,7.2
48
+ 13,SBE,Search,Backward search,1130.0,1090.0,1164.0,8.4,0.132,0.56,2561.3,46.7
49
+ 14,Random,Baseline,Baseline,1000.0,961.0,1036.0,0.0,0.001,0.5,0.0,0.0
50
+ 15,LaplacianScore,Non-search,Distance,994.0,940.0,1040.0,-14.4,0.652,0.797,0.2,0.0
51
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- </style><line class='sa-grid' x1='161.4' x2='161.4' y1='16.2' y2='368.0'/><text class='sa-text' x='161.4' y='390.5' text-anchor='middle' font-size='15'>10<tspan dy='-7' font-size='10'>-2</tspan></text><line class='sa-grid' x1='262.3' x2='262.3' y1='16.2' y2='368.0'/><text class='sa-text' x='262.3' y='390.5' text-anchor='middle' font-size='15'>10<tspan dy='-7' font-size='10'>-1</tspan></text><line class='sa-grid' x1='363.2' x2='363.2' y1='16.2' y2='368.0'/><text class='sa-text' x='363.2' y='390.5' text-anchor='middle' font-size='15'>10<tspan dy='-7' font-size='10'>0</tspan></text><line class='sa-grid' x1='464.1' x2='464.1' y1='16.2' y2='368.0'/><text class='sa-text' x='464.1' y='390.5' text-anchor='middle' font-size='15'>10<tspan dy='-7' font-size='10'>1</tspan></text><line class='sa-grid' x1='565.0' x2='565.0' y1='16.2' y2='368.0'/><text class='sa-text' x='565.0' y='390.5' text-anchor='middle' font-size='15'>10<tspan dy='-7' font-size='10'>2</tspan></text><line class='sa-grid' x1='665.9' x2='665.9' y1='16.2' y2='368.0'/><text class='sa-text' x='665.9' y='390.5' text-anchor='middle' font-size='15'>10<tspan dy='-7' font-size='10'>3</tspan></text><line class='sa-grid' x1='766.7' x2='766.7' y1='16.2' y2='368.0'/><text class='sa-text' x='766.7' y='390.5' text-anchor='middle' font-size='15'>10<tspan dy='-7' font-size='10'>4</tspan></text><line class='sa-grid' x1='66.9' x2='847.8' y1='352.0' y2='352.0'/><text class='sa-text' x='57.9' y='358.0' text-anchor='end' font-size='15'>0</text><line class='sa-grid' x1='66.9' x2='847.8' y1='286.9' y2='286.9'/><text class='sa-text' x='57.9' y='292.9' text-anchor='end' font-size='15'>5</text><line class='sa-grid' x1='66.9' x2='847.8' y1='221.8' y2='221.8'/><text class='sa-text' x='57.9' y='227.8' text-anchor='end' font-size='15'>10</text><line class='sa-grid' x1='66.9' x2='847.8' y1='156.7' y2='156.7'/><text class='sa-text' x='57.9' y='162.7' text-anchor='end' font-size='15'>15</text><line class='sa-grid' x1='66.9' x2='847.8' y1='91.6' y2='91.6'/><text class='sa-text' x='57.9' y='97.6' text-anchor='end' font-size='15'>20</text><line class='sa-grid' x1='66.9' x2='847.8' y1='26.5' y2='26.5'/><text class='sa-text' x='57.9' y='32.5' text-anchor='end' font-size='15'>25</text><rect class='sa-frame-line' x='66.9' y='16.2' width='780.9' height='351.8'/><text class='sa-text' x='457.4' y='420.0' text-anchor='middle' font-size='15'>Feature Selection Time (s) per 1k Features</text><text class='sa-text' transform='translate(21.0 192.1) rotate(-90)' text-anchor='middle' font-size='15'>Improvement over Random (%)</text><defs><marker id='sa-arrow' viewBox='0 0 10 10' refX='9' refY='5' markerWidth='7' markerHeight='7' orient='auto-start-reverse'><path d='M0,0 L10,5 L0,10' fill='none' stroke='#009E73' stroke-width='1.6'/></marker></defs><line x1='109.5' y1='51.9' x2='68.9' y2='18.2' stroke='#009E73' stroke-width='2.2' marker-end='url(#sa-arrow)'/><text x='82.5' y='75.9' fill='#009E73' font-size='18' font-weight='700'>optimal</text><polyline points='102.4,352.0 344.2,54.5 523.5,32.2' fill='none' stroke='#D55E00' stroke-width='3.0'/><circle class='sa-point' cx='523.5' cy='32.2' r='6.8' fill='#D55E00' stroke-width='1'/><circle cx='530.9' cy='50.5' r='5.8' fill='#d3d3d3' fill-opacity='0.8' stroke='#808080' stroke-width='1'/><circle class='sa-point' cx='344.2' cy='54.5' r='6.8' fill='#D55E00' stroke-width='1'/><circle cx='698.4' cy='58.4' r='5.8' fill='#d3d3d3' fill-opacity='0.8' stroke='#808080' stroke-width='1'/><circle cx='480.3' cy='66.1' r='5.8' fill='#d3d3d3' fill-opacity='0.8' stroke='#808080' stroke-width='1'/><circle cx='534.6' cy='68.0' r='5.8' fill='#d3d3d3' fill-opacity='0.8' stroke='#808080' stroke-width='1'/><circle cx='696.5' cy='69.7' r='5.8' fill='#d3d3d3' fill-opacity='0.8' stroke='#808080' stroke-width='1'/><circle cx='491.8' cy='104.4' r='5.8' fill='#d3d3d3' fill-opacity='0.8' stroke='#808080' stroke-width='1'/><circle cx='474.6' cy='112.9' r='5.8' fill='#d3d3d3' fill-opacity='0.8' stroke='#808080' stroke-width='1'/><circle cx='812.3' cy='121.4' r='5.8' fill='#d3d3d3' fill-opacity='0.8' stroke='#808080' stroke-width='1'/><circle cx='804.9' cy='140.3' r='5.8' fill='#d3d3d3' fill-opacity='0.8' stroke='#808080' stroke-width='1'/><circle cx='746.8' cy='196.3' r='5.8' fill='#d3d3d3' fill-opacity='0.8' stroke='#808080' stroke-width='1'/><circle cx='811.4' cy='242.8' r='5.8' fill='#d3d3d3' fill-opacity='0.8' stroke='#808080' stroke-width='1'/><circle class='sa-point' cx='102.4' cy='352.0' r='6.8' fill='#D55E00' stroke-width='1'/><line class='sa-ink' x1='523.5' y1='32.2' x2='636.9' y2='25.6' stroke-width='1' opacity='0.6'/><text class='sa-text sa-halo' x='636.9' y='25.6' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='700'>RFImportance</text><line class='sa-ink' x1='530.9' y1='50.5' x2='644.3' y2='57.9' stroke-width='1' opacity='0.6'/><text class='sa-dim sa-halo' x='644.3' y='57.9' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='400'>MI</text><line class='sa-ink' x1='344.2' y1='54.5' x2='293.1' y2='59.1' stroke-width='1' opacity='0.6'/><text class='sa-text sa-halo' x='293.1' y='59.1' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='700'>F-Test</text><line class='sa-ink' x1='698.4' y1='58.4' x2='778.2' y2='54.4' stroke-width='1' opacity='0.6'/><text class='sa-dim sa-halo' x='778.2' y='54.4' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='400'>ElasticNet</text><line class='sa-ink' x1='480.3' y1='66.1' x2='457.7' y2='51.9' stroke-width='1' opacity='0.6'/><text class='sa-dim sa-halo' x='457.7' y='51.9' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='400'>CART</text><line class='sa-ink' x1='534.6' y1='68.0' x2='564.8' y2='86.3' stroke-width='1' opacity='0.6'/><text class='sa-dim sa-halo' x='564.8' y='86.3' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='400'>mRMR</text><line class='sa-ink' x1='696.5' y1='69.7' x2='735.3' y2='84.0' stroke-width='1' opacity='0.6'/><text class='sa-dim sa-halo' x='735.3' y='84.0' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='400'>Lasso</text><line class='sa-ink' x1='491.8' y1='104.4' x2='377.2' y2='94.7' stroke-width='1' opacity='0.6'/><text class='sa-dim sa-halo' x='377.2' y='94.7' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='400'>MarkovBlanket</text><line class='sa-ink' x1='474.6' y1='112.9' x2='545.1' y2='126.6' stroke-width='1' opacity='0.6'/><text class='sa-dim sa-halo' x='545.1' y='126.6' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='400'>GainRatio</text><text class='sa-dim sa-halo' x='825.5' y='107.1' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='400'>SFS</text><line class='sa-ink' x1='804.9' y1='140.3' x2='740.9' y2='154.0' stroke-width='1' opacity='0.6'/><text class='sa-dim sa-halo' x='740.9' y='154.0' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='400'>(R)ReliefF</text><line class='sa-ink' x1='746.8' y1='196.3' x2='712.8' y2='210.5' stroke-width='1' opacity='0.6'/><text class='sa-dim sa-halo' x='712.8' y='210.5' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='400'>LOCO</text><line class='sa-ink' x1='811.4' y1='242.8' x2='786.2' y2='257.1' stroke-width='1' opacity='0.6'/><text class='sa-dim sa-halo' x='786.2' y='257.1' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='400'>SBE</text><line class='sa-ink' x1='102.4' y1='352.0' x2='156.2' y2='337.8' stroke-width='1' opacity='0.6'/><text class='sa-text sa-halo' x='156.2' y='337.8' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='700'>Random</text><rect class='sa-legend' x='610.8' y='296.0' width='225.0' height='60.0' rx='4'/><circle stroke='#808080' cx='631.8' cy='314.0' r='6.0' fill='#d3d3d3'/><text class='sa-text' x='649.8' y='320.0' font-size='15'>Dominated Methods</text><circle class='sa-point' cx='631.8' cy='338.0' r='6.0' fill='#D55E00'/><text class='sa-text' x='649.8' y='344.0' font-size='15'>Pareto Front</text><circle class='sa-hit' cx='523.5' cy='32.2' r='10.5' data-tip='RFImportance (on the Pareto front)&#10;Improvement over Random: 24.6%&#10;Selection time per 1k features: 38.8 s&#10;Datasets: 71&#10;Next to MI: 23.2%, 46 s' aria-label='RFImportance (on the Pareto front)&#10;Improvement over Random: 24.6%&#10;Selection time per 1k features: 38.8 s&#10;Datasets: 71&#10;Next to MI: 23.2%, 46 s'/><circle class='sa-hit' cx='530.9' cy='50.5' r='10.5' data-tip='MI&#10;Improvement over Random: 23.2%&#10;Selection time per 1k features: 46 s&#10;Datasets: 71&#10;Next to RFImportance: 24.6%, 38.8 s&#10;Next to mRMR: 21.8%, 50 s' aria-label='MI&#10;Improvement over Random: 23.2%&#10;Selection time per 1k features: 46 s&#10;Datasets: 71&#10;Next to 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features: 14.5 s&#10;Datasets: 71'/><circle class='sa-hit' cx='534.6' cy='68.0' r='10.5' data-tip='mRMR&#10;Improvement over Random: 21.8%&#10;Selection time per 1k features: 50 s&#10;Datasets: 71&#10;Next to MI: 23.2%, 46 s' aria-label='mRMR&#10;Improvement over Random: 21.8%&#10;Selection time per 1k features: 50 s&#10;Datasets: 71&#10;Next to MI: 23.2%, 46 s'/><circle class='sa-hit' cx='696.5' cy='69.7' r='10.5' data-tip='Lasso&#10;Improvement over Random: 21.7%&#10;Selection time per 1k features: 2.01e+03 s&#10;Datasets: 71&#10;Next to ElasticNet: 22.6%, 2.1e+03 s' aria-label='Lasso&#10;Improvement over Random: 21.7%&#10;Selection time per 1k features: 2.01e+03 s&#10;Datasets: 71&#10;Next to ElasticNet: 22.6%, 2.1e+03 s'/><circle class='sa-hit' cx='491.8' cy='104.4' r='10.5' data-tip='MarkovBlanket&#10;Improvement over Random: 19.0%&#10;Selection time per 1k features: 18.8 s&#10;Datasets: 71&#10;Next to GainRatio: 18.4%, 12.7 s' aria-label='MarkovBlanket&#10;Improvement over Random: 19.0%&#10;Selection time per 1k features: 18.8 s&#10;Datasets: 71&#10;Next to GainRatio: 18.4%, 12.7 s'/><circle class='sa-hit' cx='474.6' cy='112.9' r='10.5' data-tip='GainRatio&#10;Improvement over Random: 18.4%&#10;Selection time per 1k features: 12.7 s&#10;Datasets: 71&#10;Next to MarkovBlanket: 19.0%, 18.8 s' aria-label='GainRatio&#10;Improvement over Random: 18.4%&#10;Selection time per 1k features: 12.7 s&#10;Datasets: 71&#10;Next to MarkovBlanket: 19.0%, 18.8 s'/><circle class='sa-hit' cx='812.3' cy='121.4' r='10.5' data-tip='SFS&#10;Improvement over Random: 17.7%&#10;Selection time per 1k features: 2.83e+04 s&#10;Datasets: 71&#10;Next to (R)ReliefF: 16.3%, 2.39e+04 s' aria-label='SFS&#10;Improvement over Random: 17.7%&#10;Selection time per 1k features: 2.83e+04 s&#10;Datasets: 71&#10;Next to (R)ReliefF: 16.3%, 2.39e+04 s'/><circle class='sa-hit' cx='804.9' cy='140.3' r='10.5' data-tip='(R)ReliefF&#10;Improvement over Random: 16.3%&#10;Selection time per 1k features: 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  RFImportance,24.5664,38.8189,71,True
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  MI,23.1632,45.9696,71,False
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  F-Test,22.8523,0.6474,71,True
 
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+ </style><line class='sa-grid' x1='161.4' x2='161.4' y1='16.2' y2='368.0'/><text class='sa-text' x='161.4' y='390.5' text-anchor='middle' font-size='15'>10<tspan dy='-7' font-size='10'>-2</tspan></text><line class='sa-grid' x1='262.3' x2='262.3' y1='16.2' y2='368.0'/><text class='sa-text' x='262.3' y='390.5' text-anchor='middle' font-size='15'>10<tspan dy='-7' font-size='10'>-1</tspan></text><line class='sa-grid' x1='363.2' x2='363.2' y1='16.2' y2='368.0'/><text class='sa-text' x='363.2' y='390.5' text-anchor='middle' font-size='15'>10<tspan dy='-7' font-size='10'>0</tspan></text><line class='sa-grid' x1='464.1' x2='464.1' y1='16.2' y2='368.0'/><text class='sa-text' x='464.1' y='390.5' text-anchor='middle' font-size='15'>10<tspan dy='-7' font-size='10'>1</tspan></text><line class='sa-grid' x1='565.0' x2='565.0' y1='16.2' y2='368.0'/><text class='sa-text' x='565.0' y='390.5' text-anchor='middle' font-size='15'>10<tspan dy='-7' font-size='10'>2</tspan></text><line class='sa-grid' x1='665.9' x2='665.9' y1='16.2' y2='368.0'/><text class='sa-text' x='665.9' y='390.5' text-anchor='middle' font-size='15'>10<tspan dy='-7' font-size='10'>3</tspan></text><line class='sa-grid' x1='766.7' x2='766.7' y1='16.2' y2='368.0'/><text class='sa-text' x='766.7' y='390.5' text-anchor='middle' font-size='15'>10<tspan dy='-7' font-size='10'>4</tspan></text><line class='sa-grid' x1='66.9' x2='847.8' y1='352.0' y2='352.0'/><text class='sa-text' x='57.9' y='358.0' text-anchor='end' font-size='15'>0</text><line class='sa-grid' x1='66.9' x2='847.8' y1='286.9' y2='286.9'/><text class='sa-text' x='57.9' y='292.9' text-anchor='end' font-size='15'>5</text><line class='sa-grid' x1='66.9' x2='847.8' y1='221.8' y2='221.8'/><text class='sa-text' x='57.9' y='227.8' text-anchor='end' font-size='15'>10</text><line class='sa-grid' x1='66.9' x2='847.8' y1='156.7' y2='156.7'/><text class='sa-text' x='57.9' y='162.7' text-anchor='end' font-size='15'>15</text><line class='sa-grid' x1='66.9' x2='847.8' y1='91.6' y2='91.6'/><text class='sa-text' x='57.9' y='97.6' text-anchor='end' font-size='15'>20</text><line class='sa-grid' x1='66.9' x2='847.8' y1='26.5' y2='26.5'/><text class='sa-text' x='57.9' y='32.5' text-anchor='end' font-size='15'>25</text><rect class='sa-frame-line' x='66.9' y='16.2' width='780.9' height='351.8'/><text class='sa-text' x='457.4' y='420.0' text-anchor='middle' font-size='15'>Feature Selection Time (s) per 1k Features</text><text class='sa-text' transform='translate(21.0 192.1) rotate(-90)' text-anchor='middle' font-size='15'>Improvement over Random (%)</text><defs><marker id='sa-arrow' viewBox='0 0 10 10' refX='9' refY='5' markerWidth='7' markerHeight='7' orient='auto-start-reverse'><path d='M0,0 L10,5 L0,10' fill='none' stroke='#009E73' stroke-width='1.6'/></marker></defs><line x1='109.5' y1='51.9' x2='68.9' y2='18.2' stroke='#009E73' stroke-width='2.2' marker-end='url(#sa-arrow)'/><text x='82.5' y='75.9' fill='#009E73' font-size='18' font-weight='700'>optimal</text><polyline points='102.4,352.0 344.2,54.5 523.5,32.2' fill='none' stroke='#D55E00' stroke-width='3.0'/><circle class='sa-point' cx='523.5' cy='32.2' r='6.8' fill='#D55E00' stroke-width='1'/><circle cx='530.9' cy='50.5' r='5.8' fill='#d3d3d3' fill-opacity='0.8' stroke='#808080' stroke-width='1'/><circle class='sa-point' cx='344.2' cy='54.5' r='6.8' fill='#D55E00' stroke-width='1'/><circle cx='698.4' cy='58.4' r='5.8' fill='#d3d3d3' fill-opacity='0.8' stroke='#808080' stroke-width='1'/><circle cx='480.3' cy='66.1' r='5.8' fill='#d3d3d3' fill-opacity='0.8' stroke='#808080' stroke-width='1'/><circle cx='534.6' cy='68.0' r='5.8' fill='#d3d3d3' fill-opacity='0.8' stroke='#808080' stroke-width='1'/><circle cx='696.5' cy='69.7' r='5.8' fill='#d3d3d3' fill-opacity='0.8' stroke='#808080' stroke-width='1'/><circle cx='491.8' cy='104.4' r='5.8' fill='#d3d3d3' fill-opacity='0.8' stroke='#808080' stroke-width='1'/><circle cx='474.6' cy='112.9' r='5.8' fill='#d3d3d3' fill-opacity='0.8' stroke='#808080' stroke-width='1'/><circle cx='812.3' cy='121.4' r='5.8' fill='#d3d3d3' fill-opacity='0.8' stroke='#808080' stroke-width='1'/><circle cx='804.9' cy='140.3' r='5.8' fill='#d3d3d3' fill-opacity='0.8' stroke='#808080' stroke-width='1'/><circle cx='746.8' cy='196.3' r='5.8' fill='#d3d3d3' fill-opacity='0.8' stroke='#808080' stroke-width='1'/><circle cx='811.4' cy='242.8' r='5.8' fill='#d3d3d3' fill-opacity='0.8' stroke='#808080' stroke-width='1'/><circle class='sa-point' cx='102.4' cy='352.0' r='6.8' fill='#D55E00' stroke-width='1'/><line class='sa-ink' x1='523.5' y1='32.2' x2='642.5' y2='25.6' stroke-width='1' opacity='0.6'/><text class='sa-text sa-halo' x='642.5' y='25.6' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='700'>RFImportance</text><line class='sa-ink' x1='530.9' y1='50.5' x2='638.0' y2='56.7' stroke-width='1' opacity='0.6'/><text class='sa-dim sa-halo' x='638.0' y='56.7' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='400'>MI</text><line class='sa-ink' x1='344.2' y1='54.5' x2='294.4' y2='62.5' stroke-width='1' opacity='0.6'/><text class='sa-text sa-halo' x='294.4' y='62.5' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='700'>F-Test</text><line class='sa-ink' x1='698.4' y1='58.4' x2='777.5' y2='52.1' stroke-width='1' opacity='0.6'/><text class='sa-dim sa-halo' x='777.5' y='52.1' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='400'>ElasticNet</text><text class='sa-dim sa-halo' x='466.5' y='51.9' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='400'>CART</text><line class='sa-ink' x1='534.6' y1='68.0' x2='569.2' y2='81.7' stroke-width='1' opacity='0.6'/><text class='sa-dim sa-halo' x='569.2' y='81.7' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='400'>mRMR</text><line class='sa-ink' x1='696.5' y1='69.7' x2='734.7' y2='83.4' stroke-width='1' opacity='0.6'/><text class='sa-dim sa-halo' x='734.7' y='83.4' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='400'>Lasso</text><line class='sa-ink' x1='491.8' y1='104.4' x2='376.5' y2='91.2' stroke-width='1' opacity='0.6'/><text class='sa-dim sa-halo' x='376.5' y='91.2' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='400'>MarkovBlanket</text><line class='sa-ink' x1='474.6' y1='112.9' x2='545.7' y2='127.2' stroke-width='1' opacity='0.6'/><text class='sa-dim sa-halo' x='545.7' y='127.2' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='400'>GainRatio</text><text class='sa-dim sa-halo' x='825.5' y='107.1' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='400'>SFS</text><line class='sa-ink' x1='804.9' y1='140.3' x2='739.6' y2='154.6' stroke-width='1' opacity='0.6'/><text class='sa-dim sa-halo' x='739.6' y='154.6' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='400'>(R)ReliefF</text><line class='sa-ink' x1='746.8' y1='196.3' x2='714.0' y2='210.0' stroke-width='1' opacity='0.6'/><text class='sa-dim sa-halo' x='714.0' y='210.0' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='400'>LOCO</text><line class='sa-ink' x1='811.4' y1='242.8' x2='786.9' y2='256.5' stroke-width='1' opacity='0.6'/><text class='sa-dim sa-halo' x='786.9' y='256.5' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='400'>SBE</text><line class='sa-ink' x1='102.4' y1='352.0' x2='156.2' y2='337.8' stroke-width='1' opacity='0.6'/><text class='sa-text sa-halo' x='156.2' y='337.8' text-anchor='middle' dominant-baseline='central' font-size='18' font-weight='700'>Random</text><rect class='sa-legend' x='610.8' y='296.0' width='225.0' height='60.0' rx='4'/><circle stroke='#808080' cx='631.8' cy='314.0' r='6.0' fill='#d3d3d3'/><text class='sa-text' x='649.8' y='320.0' font-size='15'>Dominated Methods</text><circle class='sa-point' cx='631.8' cy='338.0' r='6.0' fill='#D55E00'/><text class='sa-text' x='649.8' y='344.0' font-size='15'>Pareto Front</text><circle class='sa-hit' cx='523.5' cy='32.2' r='10.5' data-tip='RFImportance (on the Pareto front)&#10;Improvement over Random: 24.6%&#10;Selection time per 1k features: 38.8 s&#10;Datasets: 71&#10;Next to MI: 23.2%, 46 s' aria-label='RFImportance (on the Pareto front)&#10;Improvement over Random: 24.6%&#10;Selection time per 1k features: 38.8 s&#10;Datasets: 71&#10;Next to MI: 23.2%, 46 s'/><circle class='sa-hit' cx='530.9' cy='50.5' r='10.5' data-tip='MI&#10;Improvement over Random: 23.2%&#10;Selection time per 1k features: 46 s&#10;Datasets: 71&#10;Next to RFImportance: 24.6%, 38.8 s&#10;Next to mRMR: 21.8%, 50 s' aria-label='MI&#10;Improvement over Random: 23.2%&#10;Selection time per 1k features: 46 s&#10;Datasets: 71&#10;Next to RFImportance: 24.6%, 38.8 s&#10;Next to mRMR: 21.8%, 50 s'/><circle class='sa-hit' cx='344.2' cy='54.5' r='10.5' data-tip='F-Test (on the Pareto front)&#10;Improvement over Random: 22.9%&#10;Selection time per 1k features: 0.647 s&#10;Datasets: 71' aria-label='F-Test (on the Pareto front)&#10;Improvement over Random: 22.9%&#10;Selection time per 1k features: 0.647 s&#10;Datasets: 71'/><circle class='sa-hit' cx='698.4' cy='58.4' r='10.5' data-tip='ElasticNet&#10;Improvement over Random: 22.6%&#10;Selection time per 1k features: 2.1e+03 s&#10;Datasets: 71&#10;Next to Lasso: 21.7%, 2.01e+03 s' aria-label='ElasticNet&#10;Improvement over Random: 22.6%&#10;Selection time per 1k features: 2.1e+03 s&#10;Datasets: 71&#10;Next to Lasso: 21.7%, 2.01e+03 s'/><circle class='sa-hit' cx='480.3' cy='66.1' r='10.5' data-tip='CART&#10;Improvement over Random: 22.0%&#10;Selection time per 1k features: 14.5 s&#10;Datasets: 71' aria-label='CART&#10;Improvement over Random: 22.0%&#10;Selection time per 1k features: 14.5 s&#10;Datasets: 71'/><circle class='sa-hit' cx='534.6' cy='68.0' r='10.5' 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0.0%&#10;Selection time per 1k features: 0.0026 s&#10;Datasets: 71'/></svg><script type='text/plain' id='sa-csv'>method,improvement,time_per_1k,n_datasets,pareto_optimal
36
  RFImportance,24.5664,38.8189,71,True
37
  MI,23.1632,45.9696,71,False
38
  F-Test,22.8523,0.6474,71,True