{ "study_id": "graph-topology-rigorous-2026-07-17", "status": "Frozen before computing outputs in this directory; prospectively specified analysis of archived and previously inspected representations", "protocol_sha256": "ee5a358bbcfc74aecade979856dd0802b3338ac3b477af360e2b7d21fdcaf561", "falsification_amendment": { "study_id": "graph-topology-rigorous-2026-07-17-amendment-v1", "status": "Post-hoc falsification amendment frozen after inspecting the first rigorous graph outputs and before computing the diagnostics below", "sha256": "d9188528fc9a5bea450cd146d8f68e0cf7b07a3b3020e8328a4b3b5554c645af" }, "ranking_robustness_amendment": { "study_id": "graph-topology-rigorous-2026-07-17-amendment-v2", "status": "Post-hoc robustness amendment frozen after the v1 surface-form diagnostics and before computing the endpoints below", "sha256": "0ab5647292ecfd41ba7691ea270b828cd4e1aab4fac412d63bc6b7b2ea1df01a" }, "ranking_robustness_correction": { "study_id": "graph-topology-rigorous-2026-07-17-amendment-v2-correction", "status": "Correction frozen after the first v2 execution halted on a design invariant and before any v2 endpoint was computed", "sha256": "42a97f8dd1c963cab21e45c4eb249b6548ea275410556e774fff59c7030cdb72" }, "input_fingerprints": { "heldout_vectors": { "path": "experiments/materials-heldout-v1_latent_vectors.npz", "sha256": "687bf12ce7beed5f78b55f45245d348474cca0a528e25e2b058256f1735791b0" }, "heldout_statistics": { "path": "experiments/materials-heldout-v1_statistics.json", "sha256": "5f3904ced113e7ad965632043d3cb4216d750341ca021db1f600ad5ca7b6a54d" }, "heldout_prompts": { "path": "prompts/materials-heldout-v1-preregistered.json", "sha256": "8c034cf33d287d379fddf842971914ec035a22b9e31d29f457258bf85c52e203" }, "replication_vectors": { "path": "experiments/late-physics-representation-replication-2026-07-17/representations.npz", "sha256": "640b8a57f563ee8bfe693f0be812796e50b3942515db72a907580bc0b1245530" }, "replication_manifest": { "path": "experiments/late-physics-representation-replication-2026-07-17/prompt_manifest.json", "sha256": "da49f9d57b870404beabb7401f40a677d90d0b93d49d58170a0ab9750268d634" }, "replication_protocol": { "path": "experiments/late-physics-representation-replication-2026-07-17/protocol.json", "sha256": "115ed08045abdb2a515026739dd35b701a11274ae83fc84481f58fd3da3b40c7" } }, "heldout": { "primary_cross_phrasing_graph": { "jacobian": { "directed_precision": 0.265, "permutation_p": 1.999960000799984e-05, "null_mean": 0.1000241, "null_95": [ 0.06, 0.15 ], "n_directed_edges": 200, "n_undirected_edges": 166, "louvain_ari": 0.13025490457760577, "n_communities": 5, "family_precision": { "boundary-attack": 0.35, "cleavage": 0.25, "cyclic": 0.3, "ductile": 0.15, "high-temperature-deformation": 0.2, "hot-air-surface-layer": 0.15, "line-defect-motion": 0.45, "notch-resistance": 0.35, "particle-strengthening": 0.1, "rapid-transformation": 0.35 } }, "raw": { "directed_precision": 0.255, "permutation_p": 1.999960000799984e-05, "null_mean": 0.0999558, "null_95": [ 0.06, 0.145 ], "n_directed_edges": 200, "n_undirected_edges": 174, "louvain_ari": 0.07747603833865814, "n_communities": 4, "family_precision": { "boundary-attack": 0.35, "cleavage": 0.3, "cyclic": 0.3, "ductile": 0.25, "high-temperature-deformation": 0.2, "hot-air-surface-layer": 0.15, "line-defect-motion": 0.55, "notch-resistance": 0.05, "particle-strengthening": 0.05, "rapid-transformation": 0.35 } }, "token_embedding": { "directed_precision": 0.425, "permutation_p": 1.999960000799984e-05, "null_mean": 0.10011279999999999, "null_95": [ 0.055, 0.15 ], "n_directed_edges": 200, "n_undirected_edges": 155, "louvain_ari": 0.3085250338294993, "n_communities": 5, "family_precision": { "boundary-attack": 0.5, "cleavage": 0.4, "cyclic": 0.45, "ductile": 0.15, "high-temperature-deformation": 0.3, "hot-air-surface-layer": 0.5, "line-defect-motion": 0.45, "notch-resistance": 0.3, "particle-strengthening": 0.8, "rapid-transformation": 0.4 } }, "target_state": { "directed_precision": 0.2, "permutation_p": 0.00021999560008799824, "null_mean": 0.1000029, "null_95": [ 0.06, 0.15 ], "n_directed_edges": 200, "n_undirected_edges": 166, "louvain_ari": 0.03274760383386582, "n_communities": 4, "family_precision": { "boundary-attack": 0.35, "cleavage": 0.2, "cyclic": 0.2, "ductile": 0.2, "high-temperature-deformation": 0.15, "hot-air-surface-layer": 0.15, "line-defect-motion": 0.15, "notch-resistance": 0.15, "particle-strengthening": 0.05, "rapid-transformation": 0.4 } }, "word_tfidf": { "directed_precision": 0.34, "permutation_p": 1.999960000799984e-05, "null_mean": 0.10006960000000001, "null_95": [ 0.055, 0.155 ], "n_directed_edges": 200, "n_undirected_edges": 148, "louvain_ari": 0.2533118921816372, "n_communities": 6, "family_precision": { "boundary-attack": 0.5, "cleavage": 0.2, "cyclic": 0.4, "ductile": 0.15, "high-temperature-deformation": 0.15, "hot-air-surface-layer": 0.55, "line-defect-motion": 0.25, "notch-resistance": 0.15, "particle-strengthening": 0.5, "rapid-transformation": 0.55 } }, "char_tfidf": { "directed_precision": 0.365, "permutation_p": 1.999960000799984e-05, "null_mean": 0.1000523, "null_95": [ 0.05, 0.155 ], "n_directed_edges": 200, "n_undirected_edges": 148, "louvain_ari": 0.33772309824987, "n_communities": 7, "family_precision": { "boundary-attack": 0.5, "cleavage": 0.2, "cyclic": 0.15, "ductile": 0.25, "high-temperature-deformation": 0.2, "hot-air-surface-layer": 0.55, "line-defect-motion": 0.25, "notch-resistance": 0.3, "particle-strengthening": 0.75, "rapid-transformation": 0.5 } }, "target_free_jacobian": { "directed_precision": 0.38, "permutation_p": 1.999960000799984e-05, "null_mean": 0.1000734, "null_95": [ 0.055, 0.155 ], "n_directed_edges": 200, "n_undirected_edges": 150, "louvain_ari": 0.27024419656315946, "n_communities": 5, "family_precision": { "boundary-attack": 0.5, "cleavage": 0.25, "cyclic": 0.5, "ductile": 0.1, "high-temperature-deformation": 0.4, "hot-air-surface-layer": 0.6, "line-defect-motion": 0.3, "notch-resistance": 0.15, "particle-strengthening": 0.5, "rapid-transformation": 0.5 } }, "target_free_direct": { "directed_precision": 0.31, "permutation_p": 1.999960000799984e-05, "null_mean": 0.1001838, "null_95": [ 0.055, 0.155 ], "n_directed_edges": 200, "n_undirected_edges": 149, "louvain_ari": 0.17049180327868851, "n_communities": 5, "family_precision": { "boundary-attack": 0.35, "cleavage": 0.15, "cyclic": 0.3, "ductile": 0.2, "high-temperature-deformation": 0.2, "hot-air-surface-layer": 0.65, "line-defect-motion": 0.1, "notch-resistance": 0.4, "particle-strengthening": 0.2, "rapid-transformation": 0.55 } } }, "primary_family_contrasts": { "jacobian_minus_raw": { "mean_difference": 0.009999999999999997, "family_bootstrap_95": [ -0.045000000000000005, 0.08499999999999999 ], "one_sided_exact_family_sign_flip_p": 0.46875, "positive_families": 2, "family_differences": { "boundary-attack": 0.0, "cleavage": -0.05, "cyclic": 0.0, "ductile": -0.1, "high-temperature-deformation": 0.0, "hot-air-surface-layer": 0.0, "line-defect-motion": -0.1, "notch-resistance": 0.3, "particle-strengthening": 0.05, "rapid-transformation": 0.0 } }, "jacobian_minus_token_embedding": { "mean_difference": -0.15999999999999998, "family_bootstrap_95": [ -0.305, -0.05 ], "one_sided_exact_family_sign_flip_p": 0.99609375, "positive_families": 1, "family_differences": { "boundary-attack": -0.15, "cleavage": -0.15, "cyclic": -0.15, "ductile": 0.0, "high-temperature-deformation": -0.1, "hot-air-surface-layer": -0.35, "line-defect-motion": 0.0, "notch-resistance": 0.05, "particle-strengthening": -0.7, "rapid-transformation": -0.05 } }, "jacobian_minus_word_tfidf": { "mean_difference": -0.075, "family_bootstrap_95": [ -0.20500000000000002, 0.05 ], "one_sided_exact_family_sign_flip_p": 0.86328125, "positive_families": 4, "family_differences": { "boundary-attack": -0.15, "cleavage": 0.05, "cyclic": -0.1, "ductile": 0.0, "high-temperature-deformation": 0.05, "hot-air-surface-layer": -0.4, "line-defect-motion": 0.2, "notch-resistance": 0.2, "particle-strengthening": -0.4, "rapid-transformation": -0.2 } }, "jacobian_minus_char_tfidf": { "mean_difference": -0.1, "family_bootstrap_95": [ -0.265, 0.04 ], "one_sided_exact_family_sign_flip_p": 0.873046875, "positive_families": 4, "family_differences": { "boundary-attack": -0.15, "cleavage": 0.05, "cyclic": 0.15, "ductile": -0.1, "high-temperature-deformation": 0.0, "hot-air-surface-layer": -0.4, "line-defect-motion": 0.2, "notch-resistance": 0.05, "particle-strengthening": -0.65, "rapid-transformation": -0.15 } }, "jacobian_minus_target_free_direct": { "mean_difference": -0.045, "family_bootstrap_95": [ -0.17500000000000002, 0.07999999999999999 ], "one_sided_exact_family_sign_flip_p": 0.75, "positive_families": 2, "family_differences": { "boundary-attack": 0.0, "cleavage": 0.1, "cyclic": 0.0, "ductile": -0.05, "high-temperature-deformation": 0.0, "hot-air-surface-layer": -0.5, "line-defect-motion": 0.35, "notch-resistance": -0.05, "particle-strengthening": -0.1, "rapid-transformation": -0.2 } } }, "layer_scan": { "jacobian": { "best_precision": 0.42, "best_layer": 16, "best_depth_percent": 39.024391174316406, "max_layer_corrected_p": 1.999960000799984e-05, "band_mean_layer_precision": 0.2239285714285714, "band_mean_layer_p": 1.999960000799984e-05 }, "raw": { "best_precision": 0.33, "best_layer": 13, "best_depth_percent": 31.707317352294922, "max_layer_corrected_p": 1.999960000799984e-05, "band_mean_layer_precision": 0.2067857142857143, "band_mean_layer_p": 1.999960000799984e-05 } }, "prompt_only_residualized_graph": { "jacobian": { "directed_precision": 0.19, "permutation_p": 0.0002599948001039979, "null_mean": 0.09995240000000001, "null_95": [ 0.06, 0.145 ], "n_directed_edges": 200, "n_undirected_edges": 171, "louvain_ari": 0.12455012853470437, "n_communities": 5, "family_precision": { "boundary-attack": 0.2, "cleavage": 0.15, "cyclic": 0.25, "ductile": 0.15, "high-temperature-deformation": 0.1, "hot-air-surface-layer": 0.2, "line-defect-motion": 0.35, "notch-resistance": 0.05, "particle-strengthening": 0.05, "rapid-transformation": 0.4 } }, "raw": { "directed_precision": 0.185, "permutation_p": 0.0006399872002559949, "null_mean": 0.1000269, "null_95": [ 0.06, 0.145 ], "n_directed_edges": 200, "n_undirected_edges": 172, "louvain_ari": 0.0525390625, "n_communities": 4, "family_precision": { "boundary-attack": 0.2, "cleavage": 0.2, "cyclic": 0.3, "ductile": 0.2, "high-temperature-deformation": 0.2, "hot-air-surface-layer": 0.1, "line-defect-motion": 0.35, "notch-resistance": 0.0, "particle-strengthening": 0.0, "rapid-transformation": 0.3 } } }, "residualized_layer_scan": { "jacobian": { "best_precision": 0.33, "best_layer": 18, "best_depth_percent": 43.90243911743164, "max_layer_corrected_p": 1.999960000799984e-05, "band_mean_layer_precision": 0.17285714285714288, "band_mean_layer_p": 1.999960000799984e-05 }, "raw": { "best_precision": 0.265, "best_layer": 18, "best_depth_percent": 43.90243911743164, "max_layer_corrected_p": 1.999960000799984e-05, "band_mean_layer_precision": 0.16214285714285717, "band_mean_layer_p": 0.0002599948001039979 } }, "prompt_adjusted_dyadic_coefficient": { "jacobian": { "same_family_coefficient": 0.027948412155208446, "permutation_p": 1.999960000799984e-05, "null_95": [ -0.007693961112244824, 0.008734569600588006 ] }, "raw": { "same_family_coefficient": 0.010447439964749287, "permutation_p": 1.999960000799984e-05, "null_95": [ -0.0028070750994685415, 0.0031891898750304793 ] } }, "lexical_hard_negatives": { "all": { "char_tfidf": { "n_comparisons": 200, "n_families": 10, "mean_family_margin": -0.014222002920390001, "family_bootstrap_95": [ -0.02749034622877593, -0.0006142874065616751 ], "one_sided_exact_family_sign_flip_p": 0.9580078125, "positive_families": 4, "family_margins": { "boundary-attack": 0.0017030763877617261, "cleavage": -0.043863859954933186, "cyclic": -0.03547952561518457, "ductile": -0.04003397170614904, "high-temperature-deformation": -0.024093887654583746, "hot-air-surface-layer": 0.0062901642963722245, "line-defect-motion": -0.009434021114169409, "notch-resistance": -0.026423234422515724, "particle-strengthening": 0.02443074258842414, "rapid-transformation": 0.004684487991077579 } }, "jacobian": { "n_comparisons": 200, "n_families": 10, "mean_family_margin": 0.022015573872103088, "family_bootstrap_95": [ 0.00976246179409907, 0.03580236266015265 ], "one_sided_exact_family_sign_flip_p": 0.0029296875, "positive_families": 9, "family_margins": { "boundary-attack": 0.032431780650493465, "cleavage": 0.06265733551393249, "cyclic": 0.016683585608395314, "ductile": 0.009492971300084446, "high-temperature-deformation": 0.00035911069925057546, "hot-air-surface-layer": -0.006556120784425657, "line-defect-motion": 0.05528936309232826, "notch-resistance": 0.01138094203611471, "particle-strengthening": 0.017517993149250576, "rapid-transformation": 0.020898777455606733 } }, "lexical_residual_jacobian": { "n_comparisons": 200, "n_families": 10, "mean_family_margin": 0.024878218428697883, "family_bootstrap_95": [ 0.013979072095769155, 0.037482392799076905 ], "one_sided_exact_family_sign_flip_p": 0.001953125, "positive_families": 9, "family_margins": { "boundary-attack": 0.02527884709011951, "cleavage": 0.06865717689074513, "cyclic": 0.02614550408384801, "ductile": 0.021656873944410744, "high-temperature-deformation": 0.01346006468638648, "hot-air-surface-layer": -0.0009890589378238335, "line-defect-motion": 0.04554718757479969, "notch-resistance": 0.025361846262040487, "particle-strengthening": 0.0038122303874895125, "rapid-transformation": 0.01985151230496311 } }, "raw": { "n_comparisons": 200, "n_families": 10, "mean_family_margin": 0.008216657373028468, "family_bootstrap_95": [ 0.002651115842512134, 0.014560877650120116 ], "one_sided_exact_family_sign_flip_p": 0.009765625, "positive_families": 9, "family_margins": { "boundary-attack": 0.0077640029211926255, "cleavage": 0.025535005755619115, "cyclic": 0.003010993316012989, "ductile": 0.0027974784857151547, "high-temperature-deformation": 0.006271985541495206, "hot-air-surface-layer": 0.00726936454623685, "line-defect-motion": 0.026895591289909544, "notch-resistance": -0.006379826792963272, "particle-strengthening": 0.0028738880725260596, "rapid-transformation": 0.006128090594540408 } }, "token_embedding": { "n_comparisons": 200, "n_families": 10, "mean_family_margin": 0.005656823952041186, "family_bootstrap_95": [ 0.0018606694531092293, 0.009593203424812282 ], "one_sided_exact_family_sign_flip_p": 0.0126953125, "positive_families": 8, "family_margins": { "boundary-attack": 0.003686477197087523, "cleavage": 0.003976722827520385, "cyclic": 0.0036573513056493644, "ductile": -0.002793718479709717, "high-temperature-deformation": 0.00806990437508905, "hot-air-surface-layer": 0.01358214024930322, "line-defect-motion": 0.00031609597940089883, "notch-resistance": -0.002334276178147132, "particle-strengthening": 0.012928891429879113, "rapid-transformation": 0.015478650814339157 } }, "word_tfidf": { "n_comparisons": 200, "n_families": 10, "mean_family_margin": -0.0066742730772602924, "family_bootstrap_95": [ -0.01490184722032259, 0.0018477877465516597 ], "one_sided_exact_family_sign_flip_p": 0.916015625, "positive_families": 4, "family_margins": { "boundary-attack": 0.005634898823812377, "cleavage": -0.020223030069551916, "cyclic": -0.01231764410225894, "ductile": -0.022453470406083743, "high-temperature-deformation": -0.015265044491588964, "hot-air-surface-layer": 0.011555423252388345, "line-defect-motion": -0.008205873766187196, "notch-resistance": -0.02380232184590026, "particle-strengthening": 0.0074893840449229325, "rapid-transformation": 0.010844947787844433 } } }, "lexical_traps": { "char_tfidf": { "n_comparisons": 126, "n_families": 10, "mean_family_margin": -0.04837898254586047, "family_bootstrap_95": [ -0.055648203647225974, -0.040201562460523324 ], "one_sided_exact_family_sign_flip_p": 1.0, "positive_families": 0, "family_margins": { "boundary-attack": -0.05759434649476475, "cleavage": -0.06518523376021382, "cyclic": -0.052250713093411436, "ductile": -0.06305200276149536, "high-temperature-deformation": -0.036504982991461404, "hot-air-surface-layer": -0.04133148142010902, "line-defect-motion": -0.04710652330476663, "notch-resistance": -0.04984390683474749, "particle-strengthening": -0.020619151145491565, "rapid-transformation": -0.0503014836521432 } }, "jacobian": { "n_comparisons": 126, "n_families": 10, "mean_family_margin": 0.018918719085235656, "family_bootstrap_95": [ 0.005871824042557587, 0.033021320384607075 ], "one_sided_exact_family_sign_flip_p": 0.01171875, "positive_families": 8, "family_margins": { "boundary-attack": 0.013840156265241498, "cleavage": 0.061875528269651675, "cyclic": 0.035303870505198474, "ductile": 0.002734206850955434, "high-temperature-deformation": 0.004693471293801467, "hot-air-surface-layer": -0.013857788973834138, "line-defect-motion": 0.047035809910976285, "notch-resistance": 0.01512675909686297, "particle-strengthening": 0.022757949817548608, "rapid-transformation": -0.0003227721840457128 } }, "lexical_residual_jacobian": { "n_comparisons": 126, "n_families": 10, "mean_family_margin": 0.03168284524952779, "family_bootstrap_95": [ 0.02047065001627896, 0.04452449632124213 ], "one_sided_exact_family_sign_flip_p": 0.0009765625, "positive_families": 10, "family_margins": { "boundary-attack": 0.022810476657562185, "cleavage": 0.07421583213350441, "cyclic": 0.0507858804152655, "ductile": 0.021213574661913624, "high-temperature-deformation": 0.017002635237934445, "hot-air-surface-layer": 0.007097921241612324, "line-defect-motion": 0.048201715988113604, "notch-resistance": 0.033271795927803015, "particle-strengthening": 0.029934115292359613, "rapid-transformation": 0.012294504939209151 } }, "raw": { "n_comparisons": 126, "n_families": 10, "mean_family_margin": 0.007389296402846357, "family_bootstrap_95": [ 0.00144953745826857, 0.013949234718381887 ], "one_sided_exact_family_sign_flip_p": 0.0244140625, "positive_families": 8, "family_margins": { "boundary-attack": -0.003929501914245537, "cleavage": 0.024244094611330636, "cyclic": 0.009762342970481992, "ductile": 0.0002729043349882538, "high-temperature-deformation": 0.011046737726654023, "hot-air-surface-layer": 0.00548536138777822, "line-defect-motion": 0.025364828723705816, "notch-resistance": -0.006229366628332844, "particle-strengthening": 0.006866586683459107, "rapid-transformation": 0.0010089761326439214 } }, "token_embedding": { "n_comparisons": 126, "n_families": 10, "mean_family_margin": -0.001700999814679631, "family_bootstrap_95": [ -0.006373891189036658, 0.0034533938478596886 ], "one_sided_exact_family_sign_flip_p": 0.73046875, "positive_families": 4, "family_margins": { "boundary-attack": -0.012845846983206833, "cleavage": -4.1828248475291286e-05, "cyclic": -0.0013055204883023633, "ductile": -0.01204592697963627, "high-temperature-deformation": 0.0035067911171031765, "hot-air-surface-layer": 0.0024779438537500345, "line-defect-motion": -0.007180632828373039, "notch-resistance": -0.005468706216899077, "particle-strengthening": 0.00012647504859634014, "rapid-transformation": 0.015767253578647007 } }, "word_tfidf": { "n_comparisons": 126, "n_families": 10, "mean_family_margin": -0.02589378017463575, "family_bootstrap_95": [ -0.030252276210202496, -0.02097620588819841 ], "one_sided_exact_family_sign_flip_p": 1.0, "positive_families": 0, "family_margins": { "boundary-attack": -0.026240437050241205, "cleavage": -0.03523297087504981, "cyclic": -0.024748655370927346, "ductile": -0.0348882032878685, "high-temperature-deformation": -0.021147710834970412, "hot-air-surface-layer": -0.009506143885277409, "line-defect-motion": -0.02389839721293834, "notch-resistance": -0.03061284051370398, "particle-strengthening": -0.032615280727361036, "rapid-transformation": -0.020047161988019493 } } } }, "edge_stability": { "jacobian": { "same_family_auc": 0.7042847222222223, "permutation_p": 1.999960000799984e-05, "null_95": [ 0.4606205208333333, 0.5439430902777778 ] }, "raw": { "same_family_auc": 0.6603375, "permutation_p": 1.999960000799984e-05, "null_95": [ 0.4639804513888889, 0.5405694444444444 ] } }, "neighbors_per_fold_sensitivity": { "1": { "jacobian": { "directed_precision": 0.265, "permutation_p": 1.999960000799984e-05, "null_mean": 0.1000241, "null_95": [ 0.06, 0.15 ], "n_directed_edges": 200, "n_undirected_edges": 166, "louvain_ari": 0.13025490457760577, "n_communities": 5, "family_precision": { "boundary-attack": 0.35, "cleavage": 0.25, "cyclic": 0.3, "ductile": 0.15, "high-temperature-deformation": 0.2, "hot-air-surface-layer": 0.15, "line-defect-motion": 0.45, "notch-resistance": 0.35, "particle-strengthening": 0.1, "rapid-transformation": 0.35 } }, "raw": { "directed_precision": 0.255, "permutation_p": 1.999960000799984e-05, "null_mean": 0.0999558, "null_95": [ 0.06, 0.145 ], "n_directed_edges": 200, "n_undirected_edges": 174, "louvain_ari": 0.07747603833865814, "n_communities": 4, "family_precision": { "boundary-attack": 0.35, "cleavage": 0.3, "cyclic": 0.3, "ductile": 0.25, "high-temperature-deformation": 0.2, "hot-air-surface-layer": 0.15, "line-defect-motion": 0.55, "notch-resistance": 0.05, "particle-strengthening": 0.05, "rapid-transformation": 0.35 } }, "word_tfidf": { "directed_precision": 0.34, "permutation_p": 1.999960000799984e-05, "null_mean": 0.10006960000000001, "null_95": [ 0.055, 0.155 ], "n_directed_edges": 200, "n_undirected_edges": 148, "louvain_ari": 0.2533118921816372, "n_communities": 6, "family_precision": { "boundary-attack": 0.5, "cleavage": 0.2, "cyclic": 0.4, "ductile": 0.15, "high-temperature-deformation": 0.15, "hot-air-surface-layer": 0.55, "line-defect-motion": 0.25, "notch-resistance": 0.15, "particle-strengthening": 0.5, "rapid-transformation": 0.55 } }, "char_tfidf": { "directed_precision": 0.365, "permutation_p": 1.999960000799984e-05, "null_mean": 0.1000523, "null_95": [ 0.05, 0.155 ], "n_directed_edges": 200, "n_undirected_edges": 148, "louvain_ari": 0.33772309824987, "n_communities": 7, "family_precision": { "boundary-attack": 0.5, "cleavage": 0.2, "cyclic": 0.15, "ductile": 0.25, "high-temperature-deformation": 0.2, "hot-air-surface-layer": 0.55, "line-defect-motion": 0.25, "notch-resistance": 0.3, "particle-strengthening": 0.75, "rapid-transformation": 0.5 } } }, "2": { "jacobian": { "directed_precision": 0.22, "permutation_p": 1.999960000799984e-05, "null_mean": 0.10003084999999999, "null_95": [ 0.075, 0.13 ], "n_directed_edges": 400, "n_undirected_edges": 325, "louvain_ari": 0.10835876966424043, "n_communities": 4, "family_precision": { "boundary-attack": 0.3, "cleavage": 0.325, "cyclic": 0.225, "ductile": 0.2, "high-temperature-deformation": 0.125, "hot-air-surface-layer": 0.15, "line-defect-motion": 0.275, "notch-resistance": 0.25, "particle-strengthening": 0.075, "rapid-transformation": 0.275 } }, "raw": { "directed_precision": 0.1975, "permutation_p": 1.999960000799984e-05, "null_mean": 0.10001785, "null_95": [ 0.0725, 0.13 ], "n_directed_edges": 400, "n_undirected_edges": 320, "louvain_ari": 0.07150960043695644, "n_communities": 3, "family_precision": { "boundary-attack": 0.25, "cleavage": 0.375, "cyclic": 0.175, "ductile": 0.175, "high-temperature-deformation": 0.175, "hot-air-surface-layer": 0.175, "line-defect-motion": 0.325, "notch-resistance": 0.05, "particle-strengthening": 0.05, "rapid-transformation": 0.225 } }, "word_tfidf": { "directed_precision": 0.26, "permutation_p": 1.999960000799984e-05, "null_mean": 0.10005170000000001, "null_95": [ 0.065, 0.1375 ], "n_directed_edges": 400, "n_undirected_edges": 260, "louvain_ari": 0.26832069836894096, "n_communities": 6, "family_precision": { "boundary-attack": 0.325, "cleavage": 0.175, "cyclic": 0.225, "ductile": 0.125, "high-temperature-deformation": 0.225, "hot-air-surface-layer": 0.4, "line-defect-motion": 0.275, "notch-resistance": 0.125, "particle-strengthening": 0.35, "rapid-transformation": 0.375 } }, "char_tfidf": { "directed_precision": 0.2625, "permutation_p": 1.999960000799984e-05, "null_mean": 0.10005815, "null_95": [ 0.0675, 0.1375 ], "n_directed_edges": 400, "n_undirected_edges": 271, "louvain_ari": 0.20110467824582418, "n_communities": 6, "family_precision": { "boundary-attack": 0.275, "cleavage": 0.175, "cyclic": 0.175, "ductile": 0.2, "high-temperature-deformation": 0.275, "hot-air-surface-layer": 0.375, "line-defect-motion": 0.15, "notch-resistance": 0.225, "particle-strengthening": 0.45, "rapid-transformation": 0.325 } } }, "3": { "jacobian": { "directed_precision": 0.17833333333333334, "permutation_p": 1.999960000799984e-05, "null_mean": 0.10001276666666667, "null_95": [ 0.08, 0.12166666666666667 ], "n_directed_edges": 600, "n_undirected_edges": 459, "louvain_ari": 0.10003206155819173, "n_communities": 3, "family_precision": { "boundary-attack": 0.25, "cleavage": 0.31666666666666665, "cyclic": 0.16666666666666669, "ductile": 0.16666666666666666, "high-temperature-deformation": 0.11666666666666665, "hot-air-surface-layer": 0.11666666666666665, "line-defect-motion": 0.19999999999999998, "notch-resistance": 0.16666666666666669, "particle-strengthening": 0.1, "rapid-transformation": 0.18333333333333332 } }, "raw": { "directed_precision": 0.17166666666666666, "permutation_p": 1.999960000799984e-05, "null_mean": 0.09998553333333332, "null_95": [ 0.08, 0.12333333333333334 ], "n_directed_edges": 600, "n_undirected_edges": 450, "louvain_ari": 0.057567316620241414, "n_communities": 2, "family_precision": { "boundary-attack": 0.16666666666666666, "cleavage": 0.31666666666666665, "cyclic": 0.16666666666666669, "ductile": 0.16666666666666666, "high-temperature-deformation": 0.13333333333333336, "hot-air-surface-layer": 0.16666666666666666, "line-defect-motion": 0.26666666666666666, "notch-resistance": 0.06666666666666667, "particle-strengthening": 0.06666666666666667, "rapid-transformation": 0.2 } }, "word_tfidf": { "directed_precision": 0.20833333333333334, "permutation_p": 1.999960000799984e-05, "null_mean": 0.10007629999999999, "null_95": [ 0.07333333333333333, 0.12833333333333333 ], "n_directed_edges": 600, "n_undirected_edges": 382, "louvain_ari": 0.2224368704291431, "n_communities": 5, "family_precision": { "boundary-attack": 0.25, "cleavage": 0.16666666666666666, "cyclic": 0.19999999999999998, "ductile": 0.18333333333333332, "high-temperature-deformation": 0.18333333333333332, "hot-air-surface-layer": 0.29999999999999993, "line-defect-motion": 0.19999999999999998, "notch-resistance": 0.09999999999999999, "particle-strengthening": 0.25, "rapid-transformation": 0.25 } }, "char_tfidf": { "directed_precision": 0.23333333333333334, "permutation_p": 1.999960000799984e-05, "null_mean": 0.1000648, "null_95": [ 0.07333333333333333, 0.12833333333333333 ], "n_directed_edges": 600, "n_undirected_edges": 385, "louvain_ari": 0.20441298917568693, "n_communities": 5, "family_precision": { "boundary-attack": 0.2333333333333333, "cleavage": 0.2, "cyclic": 0.2333333333333333, "ductile": 0.18333333333333332, "high-temperature-deformation": 0.19999999999999998, "hot-air-surface-layer": 0.2833333333333333, "line-defect-motion": 0.19999999999999998, "notch-resistance": 0.25, "particle-strengthening": 0.29999999999999993, "rapid-transformation": 0.25 } } } }, "per_lens_seed": [ { "lens_seed": 0, "directed_precision": 0.265, "permutation_p": 1.999960000799984e-05, "null_mean": 0.1000241, "null_95": [ 0.06, 0.15 ], "n_directed_edges": 200, "n_undirected_edges": 166, "louvain_ari": 0.13025490457760577, "n_communities": 5, "family_precision": { "boundary-attack": 0.35, "cleavage": 0.25, "cyclic": 0.3, "ductile": 0.15, "high-temperature-deformation": 0.2, "hot-air-surface-layer": 0.15, "line-defect-motion": 0.45, "notch-resistance": 0.35, "particle-strengthening": 0.1, "rapid-transformation": 0.35 } }, { "lens_seed": 1, "directed_precision": 0.265, "permutation_p": 1.999960000799984e-05, "null_mean": 0.1000592, "null_95": [ 0.06, 0.15 ], "n_directed_edges": 200, "n_undirected_edges": 167, "louvain_ari": 0.12673267326732673, "n_communities": 5, "family_precision": { "boundary-attack": 0.35, "cleavage": 0.25, "cyclic": 0.25, "ductile": 0.15, "high-temperature-deformation": 0.2, "hot-air-surface-layer": 0.15, "line-defect-motion": 0.45, "notch-resistance": 0.35, "particle-strengthening": 0.1, "rapid-transformation": 0.4 } }, { "lens_seed": 2, "directed_precision": 0.265, "permutation_p": 1.999960000799984e-05, "null_mean": 0.1000241, "null_95": [ 0.06, 0.15 ], "n_directed_edges": 200, "n_undirected_edges": 166, "louvain_ari": 0.13025490457760577, "n_communities": 5, "family_precision": { "boundary-attack": 0.35, "cleavage": 0.25, "cyclic": 0.3, "ductile": 0.15, "high-temperature-deformation": 0.2, "hot-air-surface-layer": 0.15, "line-defect-motion": 0.45, "notch-resistance": 0.35, "particle-strengthening": 0.1, "rapid-transformation": 0.35 } } ], "per_lens_seed_directed_edge_jaccard": { "0-1": 0.9801980198019802, "0-2": 1.0, "1-2": 0.9801980198019802 }, "undirected_graph_sensitivity": { "jacobian": { "union": { "n_edges": 166, "homophily": 0.2289156626506024, "permutation_p": 1.999960000799984e-05, "null_95": [ 0.060240963855421686, 0.14457831325301204 ] }, "mutual": { "n_edges": 34, "homophily": 0.4411764705882353, "permutation_p": 1.999960000799984e-05, "null_95": [ 0.0, 0.20588235294117646 ] } }, "raw": { "union": { "n_edges": 174, "homophily": 0.22413793103448276, "permutation_p": 1.999960000799984e-05, "null_95": [ 0.06321839080459771, 0.14367816091954022 ] }, "mutual": { "n_edges": 26, "homophily": 0.46153846153846156, "permutation_p": 1.999960000799984e-05, "null_95": [ 0.0, 0.23076923076923078 ] } }, "word_tfidf": { "union": { "n_edges": 148, "homophily": 0.30405405405405406, "permutation_p": 1.999960000799984e-05, "null_95": [ 0.05405405405405406, 0.14864864864864866 ] }, "mutual": { "n_edges": 52, "homophily": 0.4423076923076923, "permutation_p": 1.999960000799984e-05, "null_95": [ 0.019230769230769232, 0.19230769230769232 ] } }, "char_tfidf": { "union": { "n_edges": 148, "homophily": 0.31756756756756754, "permutation_p": 1.999960000799984e-05, "null_95": [ 0.05405405405405406, 0.14864864864864866 ] }, "mutual": { "n_edges": 52, "homophily": 0.5, "permutation_p": 1.999960000799984e-05, "null_95": [ 0.019230769230769232, 0.19230769230769232 ] } } }, "target_free_concept_network": { "candidate_words": 523, "fdr_significant_words": 0, "families_with_fdr_words": [], "top_significant_words": [], "jacobian_vocabulary_size": 523, "direct_vocabulary_size": 480 }, "residualization_coefficients": { "covariates": [ "intercept", "word_tfidf_cosine", "character_tfidf_cosine", "token_jaccard", "scaled_length_difference", "same_phrasing_fold" ], "jacobian": [ 0.6811211657525502, -0.18285072181835538, 0.17859262432776743, 0.31075134942394556, -0.06402652636183465, -0.0004620960404920015 ], "raw": [ 0.8668154184860749, -0.01293882159824025, 0.048613527690250895, 0.07540602717140125, -0.027125450514167145, -0.00026966051644389326 ] } }, "disjoint_relation_replication": { "fixed_graphs": { "jacobian_band": { "directed_same_outcome_precision": 0.8194444444444444, "permutation_p": 1.999960000799984e-05, "null_mean": 0.5003108333333333, "null_95": [ 0.3958333333333333, 0.6041666666666666 ], "case_preserving_exact_p": 0.009623421994556016, "case_preserving_exact_null_mean": 0.5555555555555556, "case_preserving_exact_null_95": [ 0.3680555555555556, 0.7638888888888888 ], "n_case_preserving_exact_assignments": 46656, "n_directed_edges": 144, "family_precision": { "crosslink-density-modulus": 1.0, "dislocation-density-strength": 1.0, "obstacle-spacing-orowan": 0.6666666666666666, "particle-fraction-modulus": 1.0, "pearlite-spacing-strength": 0.9166666666666666, "porosity-modulus": 0.3333333333333333 }, "family_bootstrap_95": [ 0.5972222222222222, 0.9861111111111112 ], "one_sided_exact_family_sign_flip_p": 0.046875 }, "jacobian_late": { "directed_same_outcome_precision": 0.8055555555555556, "permutation_p": 1.999960000799984e-05, "null_mean": 0.5002555555555556, "null_95": [ 0.4027777777777778, 0.6041666666666666 ], "case_preserving_exact_p": 0.009623421994556016, "case_preserving_exact_null_mean": 0.5555555555555556, "case_preserving_exact_null_95": [ 0.375, 0.7569444444444444 ], "n_case_preserving_exact_assignments": 46656, "n_directed_edges": 144, "family_precision": { "crosslink-density-modulus": 1.0, "dislocation-density-strength": 1.0, "obstacle-spacing-orowan": 0.6666666666666666, "particle-fraction-modulus": 1.0, "pearlite-spacing-strength": 0.8333333333333334, "porosity-modulus": 0.3333333333333333 }, "family_bootstrap_95": [ 0.5833333333333334, 0.9722222222222223 ], "one_sided_exact_family_sign_flip_p": 0.046875 }, "direct_band": { "directed_same_outcome_precision": 0.8402777777777778, "permutation_p": 1.999960000799984e-05, "null_mean": 0.5003402777777778, "null_95": [ 0.3958333333333333, 0.6041666666666666 ], "case_preserving_exact_p": 0.008251709282637118, "case_preserving_exact_null_mean": 0.5555555555555556, "case_preserving_exact_null_95": [ 0.3611111111111111, 0.7777777777777778 ], "n_case_preserving_exact_assignments": 46656, "n_directed_edges": 144, "family_precision": { "crosslink-density-modulus": 1.0, "dislocation-density-strength": 1.0, "obstacle-spacing-orowan": 0.6666666666666666, "particle-fraction-modulus": 1.0, "pearlite-spacing-strength": 1.0, "porosity-modulus": 0.375 }, "family_bootstrap_95": [ 0.6319444444444444, 1.0 ], "one_sided_exact_family_sign_flip_p": 0.03125 }, "direct_late": { "directed_same_outcome_precision": 0.8194444444444444, "permutation_p": 1.999960000799984e-05, "null_mean": 0.5002258333333333, "null_95": [ 0.3958333333333333, 0.6041666666666666 ], "case_preserving_exact_p": 0.009623421994556016, "case_preserving_exact_null_mean": 0.5555555555555556, "case_preserving_exact_null_95": [ 0.375, 0.7708333333333334 ], "n_case_preserving_exact_assignments": 46656, "n_directed_edges": 144, "family_precision": { "crosslink-density-modulus": 1.0, "dislocation-density-strength": 1.0, "obstacle-spacing-orowan": 0.6666666666666666, "particle-fraction-modulus": 1.0, "pearlite-spacing-strength": 0.9166666666666666, "porosity-modulus": 0.3333333333333333 }, "family_bootstrap_95": [ 0.5972222222222222, 0.986111111111111 ], "one_sided_exact_family_sign_flip_p": 0.046875 }, "raw_band": { "directed_same_outcome_precision": 0.8263888888888888, "permutation_p": 1.999960000799984e-05, "null_mean": 0.5003184722222221, "null_95": [ 0.4027777777777778, 0.6041666666666666 ], "case_preserving_exact_p": 0.009623421994556016, "case_preserving_exact_null_mean": 0.5555555555555556, "case_preserving_exact_null_95": [ 0.3680555555555556, 0.7638888888888888 ], "n_case_preserving_exact_assignments": 46656, "n_directed_edges": 144, "family_precision": { "crosslink-density-modulus": 1.0, "dislocation-density-strength": 1.0, "obstacle-spacing-orowan": 0.625, "particle-fraction-modulus": 1.0, "pearlite-spacing-strength": 0.9583333333333334, "porosity-modulus": 0.375 }, "family_bootstrap_95": [ 0.6180555555555556, 0.9930555555555557 ], "one_sided_exact_family_sign_flip_p": 0.046875 }, "raw_late": { "directed_same_outcome_precision": 0.8055555555555556, "permutation_p": 1.999960000799984e-05, "null_mean": 0.5001776388888889, "null_95": [ 0.4027777777777778, 0.6041666666666666 ], "case_preserving_exact_p": 0.009623421994556016, "case_preserving_exact_null_mean": 0.5555555555555555, "case_preserving_exact_null_95": [ 0.375, 0.7569444444444444 ], "n_case_preserving_exact_assignments": 46656, "n_directed_edges": 144, "family_precision": { "crosslink-density-modulus": 1.0, "dislocation-density-strength": 1.0, "obstacle-spacing-orowan": 0.6666666666666666, "particle-fraction-modulus": 1.0, "pearlite-spacing-strength": 0.8333333333333334, "porosity-modulus": 0.3333333333333333 }, "family_bootstrap_95": [ 0.611111111111111, 0.9722222222222223 ], "one_sided_exact_family_sign_flip_p": 0.046875 }, "word_tfidf": { "directed_same_outcome_precision": 0.4583333333333333, "permutation_p": 0.7768444631107377, "null_mean": 0.5004858333333334, "null_95": [ 0.375, 0.6180555555555556 ], "case_preserving_exact_p": 0.9931414364404055, "case_preserving_exact_null_mean": 0.5555555555555556, "case_preserving_exact_null_95": [ 0.4722222222222222, 0.6319444444444444 ], "n_case_preserving_exact_assignments": 46656, "n_directed_edges": 144, "family_precision": { "crosslink-density-modulus": 0.4583333333333333, "dislocation-density-strength": 0.5833333333333334, "obstacle-spacing-orowan": 0.3333333333333333, "particle-fraction-modulus": 0.4166666666666667, "pearlite-spacing-strength": 0.4583333333333333, "porosity-modulus": 0.5 }, "family_bootstrap_95": [ 0.3958333333333333, 0.5208333333333334 ], "one_sided_exact_family_sign_flip_p": 0.90625 }, "char_tfidf": { "directed_same_outcome_precision": 0.5277777777777778, "permutation_p": 0.3346333073338533, "null_mean": 0.5001343055555556, "null_95": [ 0.3958333333333333, 0.5972222222222222 ], "case_preserving_exact_p": 0.8285359110101378, "case_preserving_exact_null_mean": 0.5555555555555556, "case_preserving_exact_null_95": [ 0.4861111111111111, 0.6111111111111112 ], "n_case_preserving_exact_assignments": 46656, "n_directed_edges": 144, "family_precision": { "crosslink-density-modulus": 0.5, "dislocation-density-strength": 0.6666666666666666, "obstacle-spacing-orowan": 0.5, "particle-fraction-modulus": 0.4166666666666667, "pearlite-spacing-strength": 0.5833333333333334, "porosity-modulus": 0.5 }, "family_bootstrap_95": [ 0.47222222222222227, 0.5972222222222222 ], "one_sided_exact_family_sign_flip_p": 0.375 }, "answer_order_only": { "directed_same_outcome_precision": 0.3333333333333333, "permutation_p": 0.994960100797984, "null_mean": 0.5003444444444444, "null_95": [ 0.3611111111111111, 0.6388888888888888 ], "case_preserving_exact_p": 1.0, "case_preserving_exact_null_mean": 0.5555555555555556, "case_preserving_exact_null_95": [ 0.4444444444444444, 0.6666666666666666 ], "n_case_preserving_exact_assignments": 46656, "n_directed_edges": 144, "family_precision": { "crosslink-density-modulus": 0.3333333333333333, "dislocation-density-strength": 0.3333333333333333, "obstacle-spacing-orowan": 0.3333333333333333, "particle-fraction-modulus": 0.3333333333333333, "pearlite-spacing-strength": 0.3333333333333333, "porosity-modulus": 0.3333333333333333 }, "family_bootstrap_95": [ 0.3333333333333333, 0.3333333333333333 ], "one_sided_exact_family_sign_flip_p": 1.0 }, "numeric_direction_oracle": { "directed_same_outcome_precision": 1.0, "permutation_p": 1.999960000799984e-05, "null_mean": 0.5002719444444444, "null_95": [ 0.4027777777777778, 0.6111111111111112 ], "case_preserving_exact_p": 0.0013931457230426303, "case_preserving_exact_null_mean": 0.5555555555555556, "case_preserving_exact_null_95": [ 0.3333333333333333, 0.7777777777777778 ], "n_case_preserving_exact_assignments": 46656, "n_directed_edges": 144, "family_precision": { "crosslink-density-modulus": 1.0, "dislocation-density-strength": 1.0, "obstacle-spacing-orowan": 1.0, "particle-fraction-modulus": 1.0, "pearlite-spacing-strength": 1.0, "porosity-modulus": 1.0 }, "family_bootstrap_95": [ 1.0, 1.0 ], "one_sided_exact_family_sign_flip_p": 0.015625 } }, "paired_family_contrasts": { "jacobian_band_minus_direct_band": { "mean_difference": -0.020833333333333332, "family_bootstrap_95": [ -0.048611111111111105, 0.0 ], "one_sided_exact_family_sign_flip_p": 1.0, "positive_families": 0, "family_differences": { "crosslink-density-modulus": 0.0, "dislocation-density-strength": 0.0, "obstacle-spacing-orowan": 0.0, "particle-fraction-modulus": 0.0, "pearlite-spacing-strength": -0.08333333333333333, "porosity-modulus": -0.041666666666666664 } }, "jacobian_band_minus_raw_band": { "mean_difference": -0.006944444444444444, "family_bootstrap_95": [ -0.027777777777777776, 0.013888888888888888 ], "one_sided_exact_family_sign_flip_p": 0.875, "positive_families": 1, "family_differences": { "crosslink-density-modulus": 0.0, "dislocation-density-strength": 0.0, "obstacle-spacing-orowan": 0.041666666666666664, "particle-fraction-modulus": 0.0, "pearlite-spacing-strength": -0.041666666666666664, "porosity-modulus": -0.041666666666666664 } }, "jacobian_band_minus_word_tfidf": { "mean_difference": 0.36111111111111116, "family_bootstrap_95": [ 0.13888888888888887, 0.5208333333333334 ], "one_sided_exact_family_sign_flip_p": 0.03125, "positive_families": 5, "family_differences": { "crosslink-density-modulus": 0.5416666666666666, "dislocation-density-strength": 0.4166666666666667, "obstacle-spacing-orowan": 0.3333333333333333, "particle-fraction-modulus": 0.5833333333333334, "pearlite-spacing-strength": 0.4583333333333333, "porosity-modulus": -0.16666666666666666 } }, "jacobian_band_minus_char_tfidf": { "mean_difference": 0.29166666666666663, "family_bootstrap_95": [ 0.08333333333333333, 0.47222222222222227 ], "one_sided_exact_family_sign_flip_p": 0.046875, "positive_families": 5, "family_differences": { "crosslink-density-modulus": 0.5, "dislocation-density-strength": 0.3333333333333333, "obstacle-spacing-orowan": 0.16666666666666666, "particle-fraction-modulus": 0.5833333333333334, "pearlite-spacing-strength": 0.3333333333333333, "porosity-modulus": -0.16666666666666666 } }, "jacobian_late_minus_direct_late": { "mean_difference": -0.013888888888888888, "family_bootstrap_95": [ -0.041666666666666664, 0.0 ], "one_sided_exact_family_sign_flip_p": 1.0, "positive_families": 0, "family_differences": { "crosslink-density-modulus": 0.0, "dislocation-density-strength": 0.0, "obstacle-spacing-orowan": 0.0, "particle-fraction-modulus": 0.0, "pearlite-spacing-strength": -0.08333333333333333, "porosity-modulus": 0.0 } }, "jacobian_late_minus_raw_late": { "mean_difference": 0.0, "family_bootstrap_95": [ 0.0, 0.0 ], "one_sided_exact_family_sign_flip_p": 1.0, "positive_families": 0, "family_differences": { "crosslink-density-modulus": 0.0, "dislocation-density-strength": 0.0, "obstacle-spacing-orowan": 0.0, "particle-fraction-modulus": 0.0, "pearlite-spacing-strength": 0.0, "porosity-modulus": 0.0 } } }, "answer_order_and_variant_falsification": { "answer_order_only": { "by_ordered_variant_pair": [ { "source_variant": "anchor", "target_variant": "lexical_counterfactual", "n_edges": 24, "same_outcome_precision": 0.0, "same_presentation_order_rate": 1.0, "same_numeric_direction_rate": 0.0, "permutation_p": 1.0, "bh_q_across_six_pairs": 1.0 }, { "source_variant": "anchor", "target_variant": "physics_paraphrase", "n_edges": 24, "same_outcome_precision": 1.0, "same_presentation_order_rate": 1.0, "same_numeric_direction_rate": 1.0, "permutation_p": 5.999880002399952e-05, "bh_q_across_six_pairs": 0.00017999640007199856 }, { "source_variant": "lexical_counterfactual", "target_variant": "anchor", "n_edges": 24, "same_outcome_precision": 0.0, "same_presentation_order_rate": 1.0, "same_numeric_direction_rate": 0.0, "permutation_p": 1.0, "bh_q_across_six_pairs": 1.0 }, { "source_variant": "lexical_counterfactual", "target_variant": "physics_paraphrase", "n_edges": 24, "same_outcome_precision": 0.0, "same_presentation_order_rate": 1.0, "same_numeric_direction_rate": 0.0, "permutation_p": 1.0, "bh_q_across_six_pairs": 1.0 }, { "source_variant": "physics_paraphrase", "target_variant": "anchor", "n_edges": 24, "same_outcome_precision": 1.0, "same_presentation_order_rate": 1.0, "same_numeric_direction_rate": 1.0, "permutation_p": 5.999880002399952e-05, "bh_q_across_six_pairs": 0.00017999640007199856 }, { "source_variant": "physics_paraphrase", "target_variant": "lexical_counterfactual", "n_edges": 24, "same_outcome_precision": 0.0, "same_presentation_order_rate": 1.0, "same_numeric_direction_rate": 0.0, "permutation_p": 1.0, "bh_q_across_six_pairs": 1.0 } ], "by_presentation_order_match": [ { "same_presentation_order": true, "n_edges": 144, "same_outcome_precision": 0.3333333333333333, "permutation_p": 0.994960100797984, "bh_q_across_two_groups": 0.994960100797984 } ], "same_order_rate_among_correct_edges": 1.0, "same_order_rate_among_incorrect_edges": 1.0, "same_numeric_direction_rate": 0.3333333333333333 }, "char_tfidf": { "by_ordered_variant_pair": [ { "source_variant": "anchor", "target_variant": "lexical_counterfactual", "n_edges": 24, "same_outcome_precision": 0.5833333333333334, "same_presentation_order_rate": 0.4166666666666667, "same_numeric_direction_rate": 0.5833333333333334, "permutation_p": 0.25267494650107, "bh_q_across_six_pairs": 0.37901241975160493 }, { "source_variant": "anchor", "target_variant": "physics_paraphrase", "n_edges": 24, "same_outcome_precision": 0.625, "same_presentation_order_rate": 0.625, "same_numeric_direction_rate": 0.625, "permutation_p": 0.14587708245835082, "bh_q_across_six_pairs": 0.37901241975160493 }, { "source_variant": "lexical_counterfactual", "target_variant": "anchor", "n_edges": 24, "same_outcome_precision": 0.5833333333333334, "same_presentation_order_rate": 0.4166666666666667, "same_numeric_direction_rate": 0.5833333333333334, "permutation_p": 0.250654986900262, "bh_q_across_six_pairs": 0.37901241975160493 }, { "source_variant": "lexical_counterfactual", "target_variant": "physics_paraphrase", "n_edges": 24, "same_outcome_precision": 0.375, "same_presentation_order_rate": 0.625, "same_numeric_direction_rate": 0.375, "permutation_p": 0.9324013519729606, "bh_q_across_six_pairs": 0.9329413411731765 }, { "source_variant": "physics_paraphrase", "target_variant": "anchor", "n_edges": 24, "same_outcome_precision": 0.625, "same_presentation_order_rate": 0.625, "same_numeric_direction_rate": 0.625, "permutation_p": 0.14599708005839884, "bh_q_across_six_pairs": 0.37901241975160493 }, { "source_variant": "physics_paraphrase", "target_variant": "lexical_counterfactual", "n_edges": 24, "same_outcome_precision": 0.375, "same_presentation_order_rate": 0.625, "same_numeric_direction_rate": 0.375, "permutation_p": 0.9329413411731765, "bh_q_across_six_pairs": 0.9329413411731765 } ], "by_presentation_order_match": [ { "same_presentation_order": false, "n_edges": 64, "same_outcome_precision": 0.71875, "permutation_p": 0.0007599848003039939, "bh_q_across_two_groups": 0.0015199696006079877 }, { "same_presentation_order": true, "n_edges": 80, "same_outcome_precision": 0.375, "permutation_p": 0.9411811763764725, "bh_q_across_two_groups": 0.9411811763764725 } ], "same_order_rate_among_correct_edges": 0.39473684210526316, "same_order_rate_among_incorrect_edges": 0.7352941176470589, "same_numeric_direction_rate": 0.5277777777777778 }, "direct_band": { "by_ordered_variant_pair": [ { "source_variant": "anchor", "target_variant": "lexical_counterfactual", "n_edges": 24, "same_outcome_precision": 0.9166666666666666, "same_presentation_order_rate": 0.08333333333333333, "same_numeric_direction_rate": 0.9166666666666666, "permutation_p": 1.999960000799984e-05, "bh_q_across_six_pairs": 0.00011999760004799905 }, { "source_variant": "anchor", "target_variant": "physics_paraphrase", "n_edges": 24, "same_outcome_precision": 0.7916666666666666, "same_presentation_order_rate": 0.7916666666666666, "same_numeric_direction_rate": 0.7916666666666666, "permutation_p": 0.0066398672026559465, "bh_q_across_six_pairs": 0.007967840643187136 }, { "source_variant": "lexical_counterfactual", "target_variant": "anchor", "n_edges": 24, "same_outcome_precision": 0.875, "same_presentation_order_rate": 0.125, "same_numeric_direction_rate": 0.875, "permutation_p": 0.00033999320013599726, "bh_q_across_six_pairs": 0.0006799864002719945 }, { "source_variant": "lexical_counterfactual", "target_variant": "physics_paraphrase", "n_edges": 24, "same_outcome_precision": 0.8333333333333334, "same_presentation_order_rate": 0.16666666666666666, "same_numeric_direction_rate": 0.8333333333333334, "permutation_p": 0.0005799884002319954, "bh_q_across_six_pairs": 0.000869982600347993 }, { "source_variant": "physics_paraphrase", "target_variant": "anchor", "n_edges": 24, "same_outcome_precision": 0.75, "same_presentation_order_rate": 0.75, "same_numeric_direction_rate": 0.75, "permutation_p": 0.015439691206175877, "bh_q_across_six_pairs": 0.015439691206175879 }, { "source_variant": "physics_paraphrase", "target_variant": "lexical_counterfactual", "n_edges": 24, "same_outcome_precision": 0.875, "same_presentation_order_rate": 0.125, "same_numeric_direction_rate": 0.875, "permutation_p": 0.00017999640007199856, "bh_q_across_six_pairs": 0.0005399892002159957 } ], "by_presentation_order_match": [ { "same_presentation_order": false, "n_edges": 95, "same_outcome_precision": 0.8842105263157894, "permutation_p": 1.999960000799984e-05, "bh_q_across_two_groups": 3.999920001599968e-05 }, { "same_presentation_order": true, "n_edges": 49, "same_outcome_precision": 0.7551020408163265, "permutation_p": 0.013099738005239895, "bh_q_across_two_groups": 0.013099738005239895 } ], "same_order_rate_among_correct_edges": 0.30578512396694213, "same_order_rate_among_incorrect_edges": 0.5217391304347826, "same_numeric_direction_rate": 0.8402777777777778 }, "direct_late": { "by_ordered_variant_pair": [ { "source_variant": "anchor", "target_variant": "lexical_counterfactual", "n_edges": 24, "same_outcome_precision": 0.9166666666666666, "same_presentation_order_rate": 0.08333333333333333, "same_numeric_direction_rate": 0.9166666666666666, "permutation_p": 1.999960000799984e-05, "bh_q_across_six_pairs": 0.00011999760004799905 }, { "source_variant": "anchor", "target_variant": "physics_paraphrase", "n_edges": 24, "same_outcome_precision": 0.7916666666666666, "same_presentation_order_rate": 0.7916666666666666, "same_numeric_direction_rate": 0.7916666666666666, "permutation_p": 0.006799864002719946, "bh_q_across_six_pairs": 0.008159836803263935 }, { "source_variant": "lexical_counterfactual", "target_variant": "anchor", "n_edges": 24, "same_outcome_precision": 0.875, "same_presentation_order_rate": 0.125, "same_numeric_direction_rate": 0.875, "permutation_p": 0.0003599928001439971, "bh_q_across_six_pairs": 0.0007999840003199936 }, { "source_variant": "lexical_counterfactual", "target_variant": "physics_paraphrase", "n_edges": 24, "same_outcome_precision": 0.8333333333333334, "same_presentation_order_rate": 0.16666666666666666, "same_numeric_direction_rate": 0.8333333333333334, "permutation_p": 0.0003999920001599968, "bh_q_across_six_pairs": 0.0007999840003199936 }, { "source_variant": "physics_paraphrase", "target_variant": "anchor", "n_edges": 24, "same_outcome_precision": 0.75, "same_presentation_order_rate": 0.75, "same_numeric_direction_rate": 0.75, "permutation_p": 0.01501969960600788, "bh_q_across_six_pairs": 0.01501969960600788 }, { "source_variant": "physics_paraphrase", "target_variant": "lexical_counterfactual", "n_edges": 24, "same_outcome_precision": 0.75, "same_presentation_order_rate": 0.25, "same_numeric_direction_rate": 0.75, "permutation_p": 0.005279894402111958, "bh_q_across_six_pairs": 0.007919841603167936 } ], "by_presentation_order_match": [ { "same_presentation_order": false, "n_edges": 92, "same_outcome_precision": 0.8804347826086957, "permutation_p": 1.999960000799984e-05, "bh_q_across_two_groups": 3.999920001599968e-05 }, { "same_presentation_order": true, "n_edges": 52, "same_outcome_precision": 0.7115384615384616, "permutation_p": 0.02993940121197576, "bh_q_across_two_groups": 0.02993940121197576 } ], "same_order_rate_among_correct_edges": 0.3135593220338983, "same_order_rate_among_incorrect_edges": 0.5769230769230769, "same_numeric_direction_rate": 0.8194444444444444 }, "jacobian_band": { "by_ordered_variant_pair": [ { "source_variant": "anchor", "target_variant": "lexical_counterfactual", "n_edges": 24, "same_outcome_precision": 0.9166666666666666, "same_presentation_order_rate": 0.08333333333333333, "same_numeric_direction_rate": 0.9166666666666666, "permutation_p": 1.999960000799984e-05, "bh_q_across_six_pairs": 0.00011999760004799905 }, { "source_variant": "anchor", "target_variant": "physics_paraphrase", "n_edges": 24, "same_outcome_precision": 0.7916666666666666, "same_presentation_order_rate": 0.7916666666666666, "same_numeric_direction_rate": 0.7916666666666666, "permutation_p": 0.0066398672026559465, "bh_q_across_six_pairs": 0.007967840643187136 }, { "source_variant": "lexical_counterfactual", "target_variant": "anchor", "n_edges": 24, "same_outcome_precision": 0.875, "same_presentation_order_rate": 0.125, "same_numeric_direction_rate": 0.875, "permutation_p": 0.00037999240015199694, "bh_q_across_six_pairs": 0.0009199816003679927 }, { "source_variant": "lexical_counterfactual", "target_variant": "physics_paraphrase", "n_edges": 24, "same_outcome_precision": 0.8333333333333334, "same_presentation_order_rate": 0.16666666666666666, "same_numeric_direction_rate": 0.8333333333333334, "permutation_p": 0.00045999080018399634, "bh_q_across_six_pairs": 0.0009199816003679927 }, { "source_variant": "physics_paraphrase", "target_variant": "anchor", "n_edges": 24, "same_outcome_precision": 0.75, "same_presentation_order_rate": 0.75, "same_numeric_direction_rate": 0.75, "permutation_p": 0.029859402811943762, "bh_q_across_six_pairs": 0.02985940281194376 }, { "source_variant": "physics_paraphrase", "target_variant": "lexical_counterfactual", "n_edges": 24, "same_outcome_precision": 0.75, "same_presentation_order_rate": 0.25, "same_numeric_direction_rate": 0.75, "permutation_p": 0.005319893602127958, "bh_q_across_six_pairs": 0.007967840643187136 } ], "by_presentation_order_match": [ { "same_presentation_order": false, "n_edges": 92, "same_outcome_precision": 0.8804347826086957, "permutation_p": 1.999960000799984e-05, "bh_q_across_two_groups": 3.999920001599968e-05 }, { "same_presentation_order": true, "n_edges": 52, "same_outcome_precision": 0.7115384615384616, "permutation_p": 0.02993940121197576, "bh_q_across_two_groups": 0.02993940121197576 } ], "same_order_rate_among_correct_edges": 0.3135593220338983, "same_order_rate_among_incorrect_edges": 0.5769230769230769, "same_numeric_direction_rate": 0.8194444444444444 }, "jacobian_late": { "by_ordered_variant_pair": [ { "source_variant": "anchor", "target_variant": "lexical_counterfactual", "n_edges": 24, "same_outcome_precision": 0.9166666666666666, "same_presentation_order_rate": 0.08333333333333333, "same_numeric_direction_rate": 0.9166666666666666, "permutation_p": 1.999960000799984e-05, "bh_q_across_six_pairs": 0.00011999760004799905 }, { "source_variant": "anchor", "target_variant": "physics_paraphrase", "n_edges": 24, "same_outcome_precision": 0.7916666666666666, "same_presentation_order_rate": 0.7916666666666666, "same_numeric_direction_rate": 0.7916666666666666, "permutation_p": 0.0066398672026559465, "bh_q_across_six_pairs": 0.007967840643187136 }, { "source_variant": "lexical_counterfactual", "target_variant": "anchor", "n_edges": 24, "same_outcome_precision": 0.875, "same_presentation_order_rate": 0.125, "same_numeric_direction_rate": 0.875, "permutation_p": 0.0003599928001439971, "bh_q_across_six_pairs": 0.0007999840003199936 }, { "source_variant": "lexical_counterfactual", "target_variant": "physics_paraphrase", "n_edges": 24, "same_outcome_precision": 0.8333333333333334, "same_presentation_order_rate": 0.16666666666666666, "same_numeric_direction_rate": 0.8333333333333334, "permutation_p": 0.0003999920001599968, "bh_q_across_six_pairs": 0.0007999840003199936 }, { "source_variant": "physics_paraphrase", "target_variant": "anchor", "n_edges": 24, "same_outcome_precision": 0.6666666666666666, "same_presentation_order_rate": 0.6666666666666666, "same_numeric_direction_rate": 0.6666666666666666, "permutation_p": 0.08321833563328733, "bh_q_across_six_pairs": 0.08321833563328733 }, { "source_variant": "physics_paraphrase", "target_variant": "lexical_counterfactual", "n_edges": 24, "same_outcome_precision": 0.75, "same_presentation_order_rate": 0.25, "same_numeric_direction_rate": 0.75, "permutation_p": 0.005279894402111958, "bh_q_across_six_pairs": 0.007919841603167936 } ], "by_presentation_order_match": [ { "same_presentation_order": false, "n_edges": 94, "same_outcome_precision": 0.8617021276595744, "permutation_p": 1.999960000799984e-05, "bh_q_across_two_groups": 3.999920001599968e-05 }, { "same_presentation_order": true, "n_edges": 50, "same_outcome_precision": 0.7, "permutation_p": 0.03881922361552769, "bh_q_across_two_groups": 0.03881922361552769 } ], "same_order_rate_among_correct_edges": 0.3017241379310345, "same_order_rate_among_incorrect_edges": 0.5357142857142857, "same_numeric_direction_rate": 0.8055555555555556 }, "numeric_direction_oracle": { "by_ordered_variant_pair": [ { "source_variant": "anchor", "target_variant": "lexical_counterfactual", "n_edges": 24, "same_outcome_precision": 1.0, "same_presentation_order_rate": 0.0, "same_numeric_direction_rate": 1.0, "permutation_p": 3.999920001599968e-05, "bh_q_across_six_pairs": 5.999880002399952e-05 }, { "source_variant": "anchor", "target_variant": "physics_paraphrase", "n_edges": 24, "same_outcome_precision": 1.0, "same_presentation_order_rate": 1.0, "same_numeric_direction_rate": 1.0, "permutation_p": 5.999880002399952e-05, "bh_q_across_six_pairs": 5.999880002399952e-05 }, { "source_variant": "lexical_counterfactual", "target_variant": "anchor", "n_edges": 24, "same_outcome_precision": 1.0, "same_presentation_order_rate": 0.0, "same_numeric_direction_rate": 1.0, "permutation_p": 1.999960000799984e-05, "bh_q_across_six_pairs": 3.999920001599968e-05 }, { "source_variant": "lexical_counterfactual", "target_variant": "physics_paraphrase", "n_edges": 24, "same_outcome_precision": 1.0, "same_presentation_order_rate": 0.0, "same_numeric_direction_rate": 1.0, "permutation_p": 1.999960000799984e-05, "bh_q_across_six_pairs": 3.999920001599968e-05 }, { "source_variant": "physics_paraphrase", "target_variant": "anchor", "n_edges": 24, "same_outcome_precision": 1.0, "same_presentation_order_rate": 1.0, "same_numeric_direction_rate": 1.0, "permutation_p": 5.999880002399952e-05, "bh_q_across_six_pairs": 5.999880002399952e-05 }, { "source_variant": "physics_paraphrase", "target_variant": "lexical_counterfactual", "n_edges": 24, "same_outcome_precision": 1.0, "same_presentation_order_rate": 0.0, "same_numeric_direction_rate": 1.0, "permutation_p": 1.999960000799984e-05, "bh_q_across_six_pairs": 3.999920001599968e-05 } ], "by_presentation_order_match": [ { "same_presentation_order": false, "n_edges": 96, "same_outcome_precision": 1.0, "permutation_p": 1.999960000799984e-05, "bh_q_across_two_groups": 3.999920001599968e-05 }, { "same_presentation_order": true, "n_edges": 48, "same_outcome_precision": 1.0, "permutation_p": 5.999880002399952e-05, "bh_q_across_two_groups": 5.999880002399952e-05 } ], "same_order_rate_among_correct_edges": 0.3333333333333333, "same_order_rate_among_incorrect_edges": null, "same_numeric_direction_rate": 1.0 }, "raw_band": { "by_ordered_variant_pair": [ { "source_variant": "anchor", "target_variant": "lexical_counterfactual", "n_edges": 24, "same_outcome_precision": 0.9166666666666666, "same_presentation_order_rate": 0.08333333333333333, "same_numeric_direction_rate": 0.9166666666666666, "permutation_p": 3.999920001599968e-05, "bh_q_across_six_pairs": 0.0002399952000959981 }, { "source_variant": "anchor", "target_variant": "physics_paraphrase", "n_edges": 24, "same_outcome_precision": 0.7916666666666666, "same_presentation_order_rate": 0.7916666666666666, "same_numeric_direction_rate": 0.7916666666666666, "permutation_p": 0.005399892002159957, "bh_q_across_six_pairs": 0.006479870402591949 }, { "source_variant": "lexical_counterfactual", "target_variant": "anchor", "n_edges": 24, "same_outcome_precision": 0.875, "same_presentation_order_rate": 0.125, "same_numeric_direction_rate": 0.875, "permutation_p": 0.0003599928001439971, "bh_q_across_six_pairs": 0.0007199856002879944 }, { "source_variant": "lexical_counterfactual", "target_variant": "physics_paraphrase", "n_edges": 24, "same_outcome_precision": 0.8333333333333334, "same_presentation_order_rate": 0.16666666666666666, "same_numeric_direction_rate": 0.8333333333333334, "permutation_p": 0.0006599868002639947, "bh_q_across_six_pairs": 0.000989980200395992 }, { "source_variant": "physics_paraphrase", "target_variant": "anchor", "n_edges": 24, "same_outcome_precision": 0.7083333333333334, "same_presentation_order_rate": 0.7083333333333334, "same_numeric_direction_rate": 0.7083333333333334, "permutation_p": 0.04355912881742365, "bh_q_across_six_pairs": 0.04355912881742365 }, { "source_variant": "physics_paraphrase", "target_variant": "lexical_counterfactual", "n_edges": 24, "same_outcome_precision": 0.8333333333333334, "same_presentation_order_rate": 0.16666666666666666, "same_numeric_direction_rate": 0.8333333333333334, "permutation_p": 0.0002999940001199976, "bh_q_across_six_pairs": 0.0007199856002879944 } ], "by_presentation_order_match": [ { "same_presentation_order": false, "n_edges": 95, "same_outcome_precision": 0.8736842105263158, "permutation_p": 1.999960000799984e-05, "bh_q_across_two_groups": 3.999920001599968e-05 }, { "same_presentation_order": true, "n_edges": 49, "same_outcome_precision": 0.7346938775510204, "permutation_p": 0.021139577208455832, "bh_q_across_two_groups": 0.021139577208455832 } ], "same_order_rate_among_correct_edges": 0.3025210084033613, "same_order_rate_among_incorrect_edges": 0.52, "same_numeric_direction_rate": 0.8263888888888888 }, "raw_late": { "by_ordered_variant_pair": [ { "source_variant": "anchor", "target_variant": "lexical_counterfactual", "n_edges": 24, "same_outcome_precision": 0.9166666666666666, "same_presentation_order_rate": 0.08333333333333333, "same_numeric_direction_rate": 0.9166666666666666, "permutation_p": 1.999960000799984e-05, "bh_q_across_six_pairs": 0.00011999760004799905 }, { "source_variant": "anchor", "target_variant": "physics_paraphrase", "n_edges": 24, "same_outcome_precision": 0.7916666666666666, "same_presentation_order_rate": 0.7916666666666666, "same_numeric_direction_rate": 0.7916666666666666, "permutation_p": 0.0066398672026559465, "bh_q_across_six_pairs": 0.007967840643187136 }, { "source_variant": "lexical_counterfactual", "target_variant": "anchor", "n_edges": 24, "same_outcome_precision": 0.875, "same_presentation_order_rate": 0.125, "same_numeric_direction_rate": 0.875, "permutation_p": 0.0003599928001439971, "bh_q_across_six_pairs": 0.0007999840003199936 }, { "source_variant": "lexical_counterfactual", "target_variant": "physics_paraphrase", "n_edges": 24, "same_outcome_precision": 0.8333333333333334, "same_presentation_order_rate": 0.16666666666666666, "same_numeric_direction_rate": 0.8333333333333334, "permutation_p": 0.0003999920001599968, "bh_q_across_six_pairs": 0.0007999840003199936 }, { "source_variant": "physics_paraphrase", "target_variant": "anchor", "n_edges": 24, "same_outcome_precision": 0.6666666666666666, "same_presentation_order_rate": 0.6666666666666666, "same_numeric_direction_rate": 0.6666666666666666, "permutation_p": 0.07223855522889543, "bh_q_across_six_pairs": 0.07223855522889543 }, { "source_variant": "physics_paraphrase", "target_variant": "lexical_counterfactual", "n_edges": 24, "same_outcome_precision": 0.75, "same_presentation_order_rate": 0.25, "same_numeric_direction_rate": 0.75, "permutation_p": 0.005279894402111958, "bh_q_across_six_pairs": 0.007919841603167936 } ], "by_presentation_order_match": [ { "same_presentation_order": false, "n_edges": 94, "same_outcome_precision": 0.8617021276595744, "permutation_p": 1.999960000799984e-05, "bh_q_across_two_groups": 3.999920001599968e-05 }, { "same_presentation_order": true, "n_edges": 50, "same_outcome_precision": 0.7, "permutation_p": 0.03881922361552769, "bh_q_across_two_groups": 0.03881922361552769 } ], "same_order_rate_among_correct_edges": 0.3017241379310345, "same_order_rate_among_incorrect_edges": 0.5357142857142857, "same_numeric_direction_rate": 0.8055555555555556 }, "word_tfidf": { "by_ordered_variant_pair": [ { "source_variant": "anchor", "target_variant": "lexical_counterfactual", "n_edges": 24, "same_outcome_precision": 0.3333333333333333, "same_presentation_order_rate": 0.6666666666666666, "same_numeric_direction_rate": 0.3333333333333333, "permutation_p": 0.9624407511849763, "bh_q_across_six_pairs": 0.9999400011999761 }, { "source_variant": "anchor", "target_variant": "physics_paraphrase", "n_edges": 24, "same_outcome_precision": 0.9166666666666666, "same_presentation_order_rate": 0.9166666666666666, "same_numeric_direction_rate": 0.9166666666666666, "permutation_p": 0.0005599888002239956, "bh_q_across_six_pairs": 0.0016799664006719867 }, { "source_variant": "lexical_counterfactual", "target_variant": "anchor", "n_edges": 24, "same_outcome_precision": 0.375, "same_presentation_order_rate": 0.625, "same_numeric_direction_rate": 0.375, "permutation_p": 0.9193216135677287, "bh_q_across_six_pairs": 0.9999400011999761 }, { "source_variant": "lexical_counterfactual", "target_variant": "physics_paraphrase", "n_edges": 24, "same_outcome_precision": 0.08333333333333333, "same_presentation_order_rate": 0.9166666666666666, "same_numeric_direction_rate": 0.08333333333333333, "permutation_p": 0.999940001199976, "bh_q_across_six_pairs": 0.9999400011999761 }, { "source_variant": "physics_paraphrase", "target_variant": "anchor", "n_edges": 24, "same_outcome_precision": 0.9166666666666666, "same_presentation_order_rate": 0.9166666666666666, "same_numeric_direction_rate": 0.9166666666666666, "permutation_p": 0.00045999080018399634, "bh_q_across_six_pairs": 0.0016799664006719867 }, { "source_variant": "physics_paraphrase", "target_variant": "lexical_counterfactual", "n_edges": 24, "same_outcome_precision": 0.125, "same_presentation_order_rate": 0.875, "same_numeric_direction_rate": 0.125, "permutation_p": 0.999760004799904, "bh_q_across_six_pairs": 0.9999400011999761 } ], "by_presentation_order_match": [ { "same_presentation_order": false, "n_edges": 26, "same_outcome_precision": 0.8461538461538461, "permutation_p": 0.002239955200895982, "bh_q_across_two_groups": 0.004479910401791964 }, { "same_presentation_order": true, "n_edges": 118, "same_outcome_precision": 0.3728813559322034, "permutation_p": 0.9643807123857523, "bh_q_across_two_groups": 0.9643807123857523 } ], "same_order_rate_among_correct_edges": 0.6666666666666666, "same_order_rate_among_incorrect_edges": 0.9487179487179487, "same_numeric_direction_rate": 0.4583333333333333 } }, "complete_candidate_ranking": { "jacobian_band": { "n_rankings": 144, "candidates_per_ranking": 3, "same_outcome_candidates_range": [ 1, 2 ], "top1_accuracy": 0.8194444444444444, "mean_reciprocal_rank": 0.8993055555555556, "pairwise_auc": 0.8159722222222222, "family_metrics": { "crosslink-density-modulus": { "top1_accuracy": 1.0, "mean_reciprocal_rank": 1.0, "pairwise_auc": 1.0 }, "dislocation-density-strength": { "top1_accuracy": 1.0, "mean_reciprocal_rank": 1.0, "pairwise_auc": 1.0 }, "obstacle-spacing-orowan": { "top1_accuracy": 0.6666666666666666, "mean_reciprocal_rank": 0.8055555555555555, "pairwise_auc": 0.6666666666666666 }, "particle-fraction-modulus": { "top1_accuracy": 1.0, "mean_reciprocal_rank": 1.0, "pairwise_auc": 1.0 }, "pearlite-spacing-strength": { "top1_accuracy": 0.9166666666666666, "mean_reciprocal_rank": 0.9583333333333334, "pairwise_auc": 0.9166666666666666 }, "porosity-modulus": { "top1_accuracy": 0.3333333333333333, "mean_reciprocal_rank": 0.6319444444444444, "pairwise_auc": 0.3125 } }, "leave_one_family_out": [ { "omitted_family": "crosslink-density-modulus", "top1_accuracy": 0.7833333333333333, "mean_reciprocal_rank": 0.8791666666666667, "pairwise_auc": 0.7791666666666667 }, { "omitted_family": "dislocation-density-strength", "top1_accuracy": 0.7833333333333333, "mean_reciprocal_rank": 0.8791666666666667, "pairwise_auc": 0.7791666666666667 }, { "omitted_family": "obstacle-spacing-orowan", "top1_accuracy": 0.85, "mean_reciprocal_rank": 0.9180555555555555, "pairwise_auc": 0.8458333333333333 }, { "omitted_family": "particle-fraction-modulus", "top1_accuracy": 0.7833333333333333, "mean_reciprocal_rank": 0.8791666666666667, "pairwise_auc": 0.7791666666666667 }, { "omitted_family": "pearlite-spacing-strength", "top1_accuracy": 0.8, "mean_reciprocal_rank": 0.8875, "pairwise_auc": 0.7958333333333333 }, { "omitted_family": "porosity-modulus", "top1_accuracy": 0.9166666666666666, "mean_reciprocal_rank": 0.9527777777777778, "pairwise_auc": 0.9166666666666666 } ], "leave_one_family_out_range": { "top1_accuracy": [ 0.7833333333333333, 0.9166666666666666 ], "mean_reciprocal_rank": [ 0.8791666666666667, 0.9527777777777778 ], "pairwise_auc": [ 0.7791666666666667, 0.9166666666666666 ] }, "chance": { "top1_accuracy": 0.5555555555555556, "pairwise_auc": 0.5 } }, "jacobian_late": { "n_rankings": 144, "candidates_per_ranking": 3, "same_outcome_candidates_range": [ 1, 2 ], "top1_accuracy": 0.8055555555555556, "mean_reciprocal_rank": 0.8923611111111112, "pairwise_auc": 0.8020833333333334, "family_metrics": { "crosslink-density-modulus": { "top1_accuracy": 1.0, "mean_reciprocal_rank": 1.0, "pairwise_auc": 1.0 }, "dislocation-density-strength": { "top1_accuracy": 1.0, "mean_reciprocal_rank": 1.0, "pairwise_auc": 1.0 }, "obstacle-spacing-orowan": { "top1_accuracy": 0.6666666666666666, "mean_reciprocal_rank": 0.8055555555555555, "pairwise_auc": 0.6458333333333334 }, "particle-fraction-modulus": { "top1_accuracy": 1.0, "mean_reciprocal_rank": 1.0, "pairwise_auc": 1.0 }, "pearlite-spacing-strength": { "top1_accuracy": 0.8333333333333334, "mean_reciprocal_rank": 0.9166666666666666, "pairwise_auc": 0.875 }, "porosity-modulus": { "top1_accuracy": 0.3333333333333333, "mean_reciprocal_rank": 0.6319444444444444, "pairwise_auc": 0.2916666666666667 } }, "leave_one_family_out": [ { "omitted_family": "crosslink-density-modulus", "top1_accuracy": 0.7666666666666667, "mean_reciprocal_rank": 0.8708333333333333, "pairwise_auc": 0.7625 }, { "omitted_family": "dislocation-density-strength", "top1_accuracy": 0.7666666666666667, "mean_reciprocal_rank": 0.8708333333333333, "pairwise_auc": 0.7625 }, { "omitted_family": "obstacle-spacing-orowan", "top1_accuracy": 0.8333333333333334, "mean_reciprocal_rank": 0.9097222222222221, "pairwise_auc": 0.8333333333333334 }, { "omitted_family": "particle-fraction-modulus", "top1_accuracy": 0.7666666666666667, "mean_reciprocal_rank": 0.8708333333333333, "pairwise_auc": 0.7625 }, { "omitted_family": "pearlite-spacing-strength", "top1_accuracy": 0.8, "mean_reciprocal_rank": 0.8875, "pairwise_auc": 0.7875 }, { "omitted_family": "porosity-modulus", "top1_accuracy": 0.9, "mean_reciprocal_rank": 0.9444444444444445, "pairwise_auc": 0.9041666666666667 } ], "leave_one_family_out_range": { "top1_accuracy": [ 0.7666666666666667, 0.9 ], "mean_reciprocal_rank": [ 0.8708333333333333, 0.9444444444444445 ], "pairwise_auc": [ 0.7625, 0.9041666666666667 ] }, "chance": { "top1_accuracy": 0.5555555555555556, "pairwise_auc": 0.5 } }, "direct_band": { "n_rankings": 144, "candidates_per_ranking": 3, "same_outcome_candidates_range": [ 1, 2 ], "top1_accuracy": 0.8402777777777778, "mean_reciprocal_rank": 0.9097222222222222, "pairwise_auc": 0.8333333333333334, "family_metrics": { "crosslink-density-modulus": { "top1_accuracy": 1.0, "mean_reciprocal_rank": 1.0, "pairwise_auc": 1.0 }, "dislocation-density-strength": { "top1_accuracy": 1.0, "mean_reciprocal_rank": 1.0, "pairwise_auc": 1.0 }, "obstacle-spacing-orowan": { "top1_accuracy": 0.6666666666666666, "mean_reciprocal_rank": 0.8055555555555555, "pairwise_auc": 0.6666666666666666 }, "particle-fraction-modulus": { "top1_accuracy": 1.0, "mean_reciprocal_rank": 1.0, "pairwise_auc": 1.0 }, "pearlite-spacing-strength": { "top1_accuracy": 1.0, "mean_reciprocal_rank": 1.0, "pairwise_auc": 0.9583333333333334 }, "porosity-modulus": { "top1_accuracy": 0.375, "mean_reciprocal_rank": 0.6527777777777778, "pairwise_auc": 0.375 } }, "leave_one_family_out": [ { "omitted_family": "crosslink-density-modulus", "top1_accuracy": 0.8083333333333333, "mean_reciprocal_rank": 0.8916666666666667, "pairwise_auc": 0.8 }, { "omitted_family": "dislocation-density-strength", "top1_accuracy": 0.8083333333333333, "mean_reciprocal_rank": 0.8916666666666667, "pairwise_auc": 0.8 }, { "omitted_family": "obstacle-spacing-orowan", "top1_accuracy": 0.875, "mean_reciprocal_rank": 0.9305555555555555, "pairwise_auc": 0.8666666666666667 }, { "omitted_family": "particle-fraction-modulus", "top1_accuracy": 0.8083333333333333, "mean_reciprocal_rank": 0.8916666666666667, "pairwise_auc": 0.8 }, { "omitted_family": "pearlite-spacing-strength", "top1_accuracy": 0.8083333333333333, "mean_reciprocal_rank": 0.8916666666666667, "pairwise_auc": 0.8083333333333333 }, { "omitted_family": "porosity-modulus", "top1_accuracy": 0.9333333333333333, "mean_reciprocal_rank": 0.9611111111111111, "pairwise_auc": 0.925 } ], "leave_one_family_out_range": { "top1_accuracy": [ 0.8083333333333333, 0.9333333333333333 ], "mean_reciprocal_rank": [ 0.8916666666666667, 0.9611111111111111 ], "pairwise_auc": [ 0.8, 0.925 ] }, "chance": { "top1_accuracy": 0.5555555555555556, "pairwise_auc": 0.5 } }, "direct_late": { "n_rankings": 144, "candidates_per_ranking": 3, "same_outcome_candidates_range": [ 1, 2 ], "top1_accuracy": 0.8194444444444444, "mean_reciprocal_rank": 0.8993055555555556, "pairwise_auc": 0.8090277777777778, "family_metrics": { "crosslink-density-modulus": { "top1_accuracy": 1.0, "mean_reciprocal_rank": 1.0, "pairwise_auc": 1.0 }, "dislocation-density-strength": { "top1_accuracy": 1.0, "mean_reciprocal_rank": 1.0, "pairwise_auc": 1.0 }, "obstacle-spacing-orowan": { "top1_accuracy": 0.6666666666666666, "mean_reciprocal_rank": 0.8055555555555555, "pairwise_auc": 0.6458333333333334 }, "particle-fraction-modulus": { "top1_accuracy": 1.0, "mean_reciprocal_rank": 1.0, "pairwise_auc": 1.0 }, "pearlite-spacing-strength": { "top1_accuracy": 0.9166666666666666, "mean_reciprocal_rank": 0.9583333333333334, "pairwise_auc": 0.9166666666666666 }, "porosity-modulus": { "top1_accuracy": 0.3333333333333333, "mean_reciprocal_rank": 0.6319444444444444, "pairwise_auc": 0.2916666666666667 } }, "leave_one_family_out": [ { "omitted_family": "crosslink-density-modulus", "top1_accuracy": 0.7833333333333333, "mean_reciprocal_rank": 0.8791666666666667, "pairwise_auc": 0.7708333333333334 }, { "omitted_family": "dislocation-density-strength", "top1_accuracy": 0.7833333333333333, "mean_reciprocal_rank": 0.8791666666666667, "pairwise_auc": 0.7708333333333334 }, { "omitted_family": "obstacle-spacing-orowan", "top1_accuracy": 0.85, "mean_reciprocal_rank": 0.9180555555555555, "pairwise_auc": 0.8416666666666667 }, { "omitted_family": "particle-fraction-modulus", "top1_accuracy": 0.7833333333333333, "mean_reciprocal_rank": 0.8791666666666667, "pairwise_auc": 0.7708333333333334 }, { "omitted_family": "pearlite-spacing-strength", "top1_accuracy": 0.8, "mean_reciprocal_rank": 0.8875, "pairwise_auc": 0.7875 }, { "omitted_family": "porosity-modulus", "top1_accuracy": 0.9166666666666666, "mean_reciprocal_rank": 0.9527777777777778, "pairwise_auc": 0.9125 } ], "leave_one_family_out_range": { "top1_accuracy": [ 0.7833333333333333, 0.9166666666666666 ], "mean_reciprocal_rank": [ 0.8791666666666667, 0.9527777777777778 ], "pairwise_auc": [ 0.7708333333333334, 0.9125 ] }, "chance": { "top1_accuracy": 0.5555555555555556, "pairwise_auc": 0.5 } }, "raw_band": { "n_rankings": 144, "candidates_per_ranking": 3, "same_outcome_candidates_range": [ 1, 2 ], "top1_accuracy": 0.8263888888888888, "mean_reciprocal_rank": 0.9050925925925927, "pairwise_auc": 0.8298611111111112, "family_metrics": { "crosslink-density-modulus": { "top1_accuracy": 1.0, "mean_reciprocal_rank": 1.0, "pairwise_auc": 1.0 }, "dislocation-density-strength": { "top1_accuracy": 1.0, "mean_reciprocal_rank": 1.0, "pairwise_auc": 1.0 }, "obstacle-spacing-orowan": { "top1_accuracy": 0.625, "mean_reciprocal_rank": 0.7986111111111112, "pairwise_auc": 0.6875 }, "particle-fraction-modulus": { "top1_accuracy": 1.0, "mean_reciprocal_rank": 1.0, "pairwise_auc": 0.9791666666666666 }, "pearlite-spacing-strength": { "top1_accuracy": 0.9583333333333334, "mean_reciprocal_rank": 0.9791666666666666, "pairwise_auc": 0.9375 }, "porosity-modulus": { "top1_accuracy": 0.375, "mean_reciprocal_rank": 0.6527777777777778, "pairwise_auc": 0.375 } }, "leave_one_family_out": [ { "omitted_family": "crosslink-density-modulus", "top1_accuracy": 0.7916666666666666, "mean_reciprocal_rank": 0.8861111111111112, "pairwise_auc": 0.7958333333333333 }, { "omitted_family": "dislocation-density-strength", "top1_accuracy": 0.7916666666666666, "mean_reciprocal_rank": 0.8861111111111112, "pairwise_auc": 0.7958333333333333 }, { "omitted_family": "obstacle-spacing-orowan", "top1_accuracy": 0.8666666666666667, "mean_reciprocal_rank": 0.9263888888888888, "pairwise_auc": 0.8583333333333333 }, { "omitted_family": "particle-fraction-modulus", "top1_accuracy": 0.7916666666666666, "mean_reciprocal_rank": 0.8861111111111112, "pairwise_auc": 0.8 }, { "omitted_family": "pearlite-spacing-strength", "top1_accuracy": 0.8, "mean_reciprocal_rank": 0.8902777777777778, "pairwise_auc": 0.8083333333333333 }, { "omitted_family": "porosity-modulus", "top1_accuracy": 0.9166666666666666, "mean_reciprocal_rank": 0.9555555555555555, "pairwise_auc": 0.9208333333333333 } ], "leave_one_family_out_range": { "top1_accuracy": [ 0.7916666666666666, 0.9166666666666666 ], "mean_reciprocal_rank": [ 0.8861111111111112, 0.9555555555555555 ], "pairwise_auc": [ 0.7958333333333333, 0.9208333333333333 ] }, "chance": { "top1_accuracy": 0.5555555555555556, "pairwise_auc": 0.5 } }, "raw_late": { "n_rankings": 144, "candidates_per_ranking": 3, "same_outcome_candidates_range": [ 1, 2 ], "top1_accuracy": 0.8055555555555556, "mean_reciprocal_rank": 0.8900462962962963, "pairwise_auc": 0.7986111111111112, "family_metrics": { "crosslink-density-modulus": { "top1_accuracy": 1.0, "mean_reciprocal_rank": 1.0, "pairwise_auc": 1.0 }, "dislocation-density-strength": { "top1_accuracy": 1.0, "mean_reciprocal_rank": 1.0, "pairwise_auc": 1.0 }, "obstacle-spacing-orowan": { "top1_accuracy": 0.6666666666666666, "mean_reciprocal_rank": 0.8055555555555555, "pairwise_auc": 0.6458333333333334 }, "particle-fraction-modulus": { "top1_accuracy": 1.0, "mean_reciprocal_rank": 1.0, "pairwise_auc": 1.0 }, "pearlite-spacing-strength": { "top1_accuracy": 0.8333333333333334, "mean_reciprocal_rank": 0.9027777777777778, "pairwise_auc": 0.8333333333333334 }, "porosity-modulus": { "top1_accuracy": 0.3333333333333333, "mean_reciprocal_rank": 0.6319444444444444, "pairwise_auc": 0.3125 } }, "leave_one_family_out": [ { "omitted_family": "crosslink-density-modulus", "top1_accuracy": 0.7666666666666667, "mean_reciprocal_rank": 0.8680555555555555, "pairwise_auc": 0.7583333333333333 }, { "omitted_family": "dislocation-density-strength", "top1_accuracy": 0.7666666666666667, "mean_reciprocal_rank": 0.8680555555555555, "pairwise_auc": 0.7583333333333333 }, { "omitted_family": "obstacle-spacing-orowan", "top1_accuracy": 0.8333333333333334, "mean_reciprocal_rank": 0.9069444444444444, "pairwise_auc": 0.8291666666666667 }, { "omitted_family": "particle-fraction-modulus", "top1_accuracy": 0.7666666666666667, "mean_reciprocal_rank": 0.8680555555555555, "pairwise_auc": 0.7583333333333333 }, { "omitted_family": "pearlite-spacing-strength", "top1_accuracy": 0.8, "mean_reciprocal_rank": 0.8875, "pairwise_auc": 0.7916666666666666 }, { "omitted_family": "porosity-modulus", "top1_accuracy": 0.9, "mean_reciprocal_rank": 0.9416666666666667, "pairwise_auc": 0.8958333333333334 } ], "leave_one_family_out_range": { "top1_accuracy": [ 0.7666666666666667, 0.9 ], "mean_reciprocal_rank": [ 0.8680555555555555, 0.9416666666666667 ], "pairwise_auc": [ 0.7583333333333333, 0.8958333333333334 ] }, "chance": { "top1_accuracy": 0.5555555555555556, "pairwise_auc": 0.5 } }, "word_tfidf": { "n_rankings": 144, "candidates_per_ranking": 3, "same_outcome_candidates_range": [ 1, 2 ], "top1_accuracy": 0.4583333333333333, "mean_reciprocal_rank": 0.7291666666666666, "pairwise_auc": 0.4236111111111111, "family_metrics": { "crosslink-density-modulus": { "top1_accuracy": 0.4583333333333333, "mean_reciprocal_rank": 0.7291666666666666, "pairwise_auc": 0.4375 }, "dislocation-density-strength": { "top1_accuracy": 0.5833333333333334, "mean_reciprocal_rank": 0.7916666666666666, "pairwise_auc": 0.4583333333333333 }, "obstacle-spacing-orowan": { "top1_accuracy": 0.3333333333333333, "mean_reciprocal_rank": 0.6666666666666666, "pairwise_auc": 0.3333333333333333 }, "particle-fraction-modulus": { "top1_accuracy": 0.4166666666666667, "mean_reciprocal_rank": 0.7083333333333334, "pairwise_auc": 0.375 }, "pearlite-spacing-strength": { "top1_accuracy": 0.4583333333333333, "mean_reciprocal_rank": 0.7291666666666666, "pairwise_auc": 0.4375 }, "porosity-modulus": { "top1_accuracy": 0.5, "mean_reciprocal_rank": 0.75, "pairwise_auc": 0.5 } }, "leave_one_family_out": [ { "omitted_family": "crosslink-density-modulus", "top1_accuracy": 0.4583333333333333, "mean_reciprocal_rank": 0.7291666666666666, "pairwise_auc": 0.42083333333333334 }, { "omitted_family": "dislocation-density-strength", "top1_accuracy": 0.43333333333333335, "mean_reciprocal_rank": 0.7166666666666667, "pairwise_auc": 0.4166666666666667 }, { "omitted_family": "obstacle-spacing-orowan", "top1_accuracy": 0.48333333333333334, "mean_reciprocal_rank": 0.7416666666666667, "pairwise_auc": 0.44166666666666665 }, { "omitted_family": "particle-fraction-modulus", "top1_accuracy": 0.4666666666666667, "mean_reciprocal_rank": 0.7333333333333333, "pairwise_auc": 0.43333333333333335 }, { "omitted_family": "pearlite-spacing-strength", "top1_accuracy": 0.4583333333333333, "mean_reciprocal_rank": 0.7291666666666666, "pairwise_auc": 0.42083333333333334 }, { "omitted_family": "porosity-modulus", "top1_accuracy": 0.45, "mean_reciprocal_rank": 0.725, "pairwise_auc": 0.4083333333333333 } ], "leave_one_family_out_range": { "top1_accuracy": [ 0.43333333333333335, 0.48333333333333334 ], "mean_reciprocal_rank": [ 0.7166666666666667, 0.7416666666666667 ], "pairwise_auc": [ 0.4083333333333333, 0.44166666666666665 ] }, "chance": { "top1_accuracy": 0.5555555555555556, "pairwise_auc": 0.5 } }, "char_tfidf": { "n_rankings": 144, "candidates_per_ranking": 3, "same_outcome_candidates_range": [ 1, 2 ], "top1_accuracy": 0.5277777777777778, "mean_reciprocal_rank": 0.7592592592592592, "pairwise_auc": 0.4791666666666667, "family_metrics": { "crosslink-density-modulus": { "top1_accuracy": 0.5, "mean_reciprocal_rank": 0.7361111111111112, "pairwise_auc": 0.5 }, "dislocation-density-strength": { "top1_accuracy": 0.6666666666666666, "mean_reciprocal_rank": 0.8333333333333334, "pairwise_auc": 0.5416666666666666 }, "obstacle-spacing-orowan": { "top1_accuracy": 0.5, "mean_reciprocal_rank": 0.7361111111111112, "pairwise_auc": 0.4583333333333333 }, "particle-fraction-modulus": { "top1_accuracy": 0.4166666666666667, "mean_reciprocal_rank": 0.7083333333333334, "pairwise_auc": 0.375 }, "pearlite-spacing-strength": { "top1_accuracy": 0.5833333333333334, "mean_reciprocal_rank": 0.7916666666666666, "pairwise_auc": 0.5 }, "porosity-modulus": { "top1_accuracy": 0.5, "mean_reciprocal_rank": 0.75, "pairwise_auc": 0.5 } }, "leave_one_family_out": [ { "omitted_family": "crosslink-density-modulus", "top1_accuracy": 0.5333333333333333, "mean_reciprocal_rank": 0.7638888888888888, "pairwise_auc": 0.475 }, { "omitted_family": "dislocation-density-strength", "top1_accuracy": 0.5, "mean_reciprocal_rank": 0.7444444444444446, "pairwise_auc": 0.4666666666666667 }, { "omitted_family": "obstacle-spacing-orowan", "top1_accuracy": 0.5333333333333333, "mean_reciprocal_rank": 0.763888888888889, "pairwise_auc": 0.48333333333333334 }, { "omitted_family": "particle-fraction-modulus", "top1_accuracy": 0.55, "mean_reciprocal_rank": 0.7694444444444445, "pairwise_auc": 0.5 }, { "omitted_family": "pearlite-spacing-strength", "top1_accuracy": 0.5166666666666667, "mean_reciprocal_rank": 0.7527777777777779, "pairwise_auc": 0.475 }, { "omitted_family": "porosity-modulus", "top1_accuracy": 0.5333333333333333, "mean_reciprocal_rank": 0.7611111111111112, "pairwise_auc": 0.475 } ], "leave_one_family_out_range": { "top1_accuracy": [ 0.5, 0.55 ], "mean_reciprocal_rank": [ 0.7444444444444446, 0.7694444444444445 ], "pairwise_auc": [ 0.4666666666666667, 0.5 ] }, "chance": { "top1_accuracy": 0.5555555555555556, "pairwise_auc": 0.5 } }, "answer_order_only": { "n_rankings": 144, "candidates_per_ranking": 3, "same_outcome_candidates_range": [ 1, 2 ], "top1_accuracy": 0.3333333333333333, "mean_reciprocal_rank": 0.6666666666666666, "pairwise_auc": 0.3333333333333333, "family_metrics": { "crosslink-density-modulus": { "top1_accuracy": 0.3333333333333333, "mean_reciprocal_rank": 0.6666666666666666, "pairwise_auc": 0.3333333333333333 }, "dislocation-density-strength": { "top1_accuracy": 0.3333333333333333, "mean_reciprocal_rank": 0.6666666666666666, "pairwise_auc": 0.3333333333333333 }, "obstacle-spacing-orowan": { "top1_accuracy": 0.3333333333333333, "mean_reciprocal_rank": 0.6666666666666666, "pairwise_auc": 0.3333333333333333 }, "particle-fraction-modulus": { "top1_accuracy": 0.3333333333333333, "mean_reciprocal_rank": 0.6666666666666666, "pairwise_auc": 0.3333333333333333 }, "pearlite-spacing-strength": { "top1_accuracy": 0.3333333333333333, "mean_reciprocal_rank": 0.6666666666666666, "pairwise_auc": 0.3333333333333333 }, "porosity-modulus": { "top1_accuracy": 0.3333333333333333, "mean_reciprocal_rank": 0.6666666666666666, "pairwise_auc": 0.3333333333333333 } }, "leave_one_family_out": [ { "omitted_family": "crosslink-density-modulus", "top1_accuracy": 0.3333333333333333, "mean_reciprocal_rank": 0.6666666666666666, "pairwise_auc": 0.3333333333333333 }, { "omitted_family": "dislocation-density-strength", "top1_accuracy": 0.3333333333333333, "mean_reciprocal_rank": 0.6666666666666666, "pairwise_auc": 0.3333333333333333 }, { "omitted_family": "obstacle-spacing-orowan", "top1_accuracy": 0.3333333333333333, "mean_reciprocal_rank": 0.6666666666666666, "pairwise_auc": 0.3333333333333333 }, { "omitted_family": "particle-fraction-modulus", "top1_accuracy": 0.3333333333333333, "mean_reciprocal_rank": 0.6666666666666666, "pairwise_auc": 0.3333333333333333 }, { "omitted_family": "pearlite-spacing-strength", "top1_accuracy": 0.3333333333333333, "mean_reciprocal_rank": 0.6666666666666666, "pairwise_auc": 0.3333333333333333 }, { "omitted_family": "porosity-modulus", "top1_accuracy": 0.3333333333333333, "mean_reciprocal_rank": 0.6666666666666666, "pairwise_auc": 0.3333333333333333 } ], "leave_one_family_out_range": { "top1_accuracy": [ 0.3333333333333333, 0.3333333333333333 ], "mean_reciprocal_rank": [ 0.6666666666666666, 0.6666666666666666 ], "pairwise_auc": [ 0.3333333333333333, 0.3333333333333333 ] }, "chance": { "top1_accuracy": 0.5555555555555556, "pairwise_auc": 0.5 } }, "numeric_direction_oracle": { "n_rankings": 144, "candidates_per_ranking": 3, "same_outcome_candidates_range": [ 1, 2 ], "top1_accuracy": 1.0, "mean_reciprocal_rank": 1.0, "pairwise_auc": 1.0, "family_metrics": { "crosslink-density-modulus": { "top1_accuracy": 1.0, "mean_reciprocal_rank": 1.0, "pairwise_auc": 1.0 }, "dislocation-density-strength": { "top1_accuracy": 1.0, "mean_reciprocal_rank": 1.0, "pairwise_auc": 1.0 }, "obstacle-spacing-orowan": { "top1_accuracy": 1.0, "mean_reciprocal_rank": 1.0, "pairwise_auc": 1.0 }, "particle-fraction-modulus": { "top1_accuracy": 1.0, "mean_reciprocal_rank": 1.0, "pairwise_auc": 1.0 }, "pearlite-spacing-strength": { "top1_accuracy": 1.0, "mean_reciprocal_rank": 1.0, "pairwise_auc": 1.0 }, "porosity-modulus": { "top1_accuracy": 1.0, "mean_reciprocal_rank": 1.0, "pairwise_auc": 1.0 } }, "leave_one_family_out": [ { "omitted_family": "crosslink-density-modulus", "top1_accuracy": 1.0, "mean_reciprocal_rank": 1.0, "pairwise_auc": 1.0 }, { "omitted_family": "dislocation-density-strength", "top1_accuracy": 1.0, "mean_reciprocal_rank": 1.0, "pairwise_auc": 1.0 }, { "omitted_family": "obstacle-spacing-orowan", "top1_accuracy": 1.0, "mean_reciprocal_rank": 1.0, "pairwise_auc": 1.0 }, { "omitted_family": "particle-fraction-modulus", "top1_accuracy": 1.0, "mean_reciprocal_rank": 1.0, "pairwise_auc": 1.0 }, { "omitted_family": "pearlite-spacing-strength", "top1_accuracy": 1.0, "mean_reciprocal_rank": 1.0, "pairwise_auc": 1.0 }, { "omitted_family": "porosity-modulus", "top1_accuracy": 1.0, "mean_reciprocal_rank": 1.0, "pairwise_auc": 1.0 } ], "leave_one_family_out_range": { "top1_accuracy": [ 1.0, 1.0 ], "mean_reciprocal_rank": [ 1.0, 1.0 ], "pairwise_auc": [ 1.0, 1.0 ] }, "chance": { "top1_accuracy": 0.5555555555555556, "pairwise_auc": 0.5 } } }, "layer_scan": { "jacobian": { "best_precision": 0.8541666666666666, "best_layer": 28, "best_depth_percent": 68.29268292682927, "max_layer_corrected_p": 1.999960000799984e-05, "workspace_band_mean_layer_precision": 0.6919642857142856, "workspace_band_mean_layer_p": 1.999960000799984e-05, "late_band_mean_layer_precision": 0.8003472222222223, "late_band_mean_layer_p": 1.999960000799984e-05 }, "direct": { "best_precision": 0.8819444444444444, "best_layer": 26, "best_depth_percent": 63.41463414634146, "max_layer_corrected_p": 1.999960000799984e-05, "workspace_band_mean_layer_precision": 0.6974206349206348, "workspace_band_mean_layer_p": 1.999960000799984e-05, "late_band_mean_layer_precision": 0.8107638888888888, "late_band_mean_layer_p": 1.999960000799984e-05 }, "raw": { "best_precision": 0.8819444444444444, "best_layer": 26, "best_depth_percent": 63.41463414634146, "max_layer_corrected_p": 1.999960000799984e-05, "workspace_band_mean_layer_precision": 0.6919642857142857, "workspace_band_mean_layer_p": 1.999960000799984e-05, "late_band_mean_layer_precision": 0.796875, "late_band_mean_layer_p": 1.999960000799984e-05 } }, "guardrail": "Within-mechanism relation topology is a post-hoc graph analysis of a cohort whose earlier registered similarity replication failed." }, "guardrail": "Graph topology measures organization and retrieval. It does not by itself establish causal use, a literal chain of thought, consciousness, or unrestricted scientific understanding." }