File size: 17,585 Bytes
7378252
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "e0b5341b",
   "metadata": {},
   "source": [
    "# Dataset Distancing Tutorial\n",
    "\n",
    "End-to-end walkthrough: generate wireless channel datasets from DeepMIMO scenarios,\n",
    "compute pairwise distances in the LWM embedding space, compute transfer performance,\n",
    "correlate them, and apply distances for source selection, data augmentation, and\n",
    "budgeted pretraining."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3ba2ce0e",
   "metadata": {},
   "source": [
    "## Setup\n",
    "\n",
    "Add the LWM package to `sys.path` so that `from_scenarios()` and `load_runner()` can find it."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "b2b026f9",
   "metadata": {},
   "outputs": [],
   "source": [
    "import sys, os\n",
    "\n",
    "# Use GPU 1 (GPU 0 may be occupied by other users)\n",
    "os.environ[\"CUDA_VISIBLE_DEVICES\"] = \"1\"\n",
    "\n",
    "# Add LWM package to sys.path (adjust this path to your LWM installation)\n",
    "LWM_PATH = \"third_party/lwm-1.1\"\n",
    "if LWM_PATH not in sys.path:\n",
    "    sys.path.insert(0, LWM_PATH)\n",
    "\n",
    "# Cache directory — datasets, trained heads, and scores are persisted here.\n",
    "# Adding a new scenario only triggers computation for that scenario.\n",
    "CACHE_DIR = \"cache/tutorial_los_nlos\"\n",
    "\n",
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "import torch\n",
    "print(f\"PyTorch {torch.__version__}, CUDA available: {torch.cuda.is_available()}\")\n",
    "if torch.cuda.is_available():\n",
    "    print(f\"Using: {torch.cuda.get_device_name(0)}, \"\n",
    "          f\"Free: {torch.cuda.mem_get_info()[0]/1e9:.1f} GB\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "840849ba",
   "metadata": {},
   "source": [
    "## Step 1: Generate Datasets\n",
    "\n",
    "Datasets are generated on the fly from [DeepMIMO](https://deepmimo.net/) ray-tracing scenarios. Each scenario becomes one `WirelessDataset` with complex channel tensors and task labels. Scenarios are auto-downloaded on first use.\n",
    "\n",
    "**Note:** Using geographically diverse scenarios (US + international cities) is important for meaningful distance–performance correlation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "279146f3",
   "metadata": {},
   "outputs": [],
   "source": [
    "from dataset_distancing import DatasetCollection\n",
    "import deepmimo as dm\n",
    "from lwm.data.scenarios import ScenarioConfig\n",
    "\n",
    "# Discover 3.5 GHz city scenarios via DeepMIMO search API\n",
    "all_scenarios = dm.search({\"bands\": [\"sub6\"], \"environment\": \"outdoor\"})\n",
    "city_3p5 = [s for s in all_scenarios if \"city_\" in s and \"3p5\" in s and \"_s\" not in s]\n",
    "\n",
    "# Split into multi-TX (US, high LoS) and single-TX (international, low LoS)\n",
    "multi_tx = set(dm.search({\"bands\": [\"sub6\"], \"numTx\": {\"min\": 2}}))\n",
    "us_cities = [s for s in city_3p5 if s in multi_tx][:2]\n",
    "intl_cities = [s for s in city_3p5 if s not in multi_tx][:2]\n",
    "\n",
    "# Build ScenarioConfigs: US cities get two TX sets each for LoS diversity;\n",
    "# international cities use TX set 1 (only one available).\n",
    "configs = []\n",
    "for name in us_cities:\n",
    "    configs.append(ScenarioConfig(name, tx_set=1, n_ant=32, n_sub=32))  # high LoS\n",
    "    configs.append(ScenarioConfig(name, tx_set=2, n_ant=32, n_sub=32))  # different LoS\n",
    "for name in intl_cities:\n",
    "    configs.append(ScenarioConfig(name, tx_set=1, n_ant=32, n_sub=32))  # low LoS\n",
    "\n",
    "collection = DatasetCollection.from_scenarios(\n",
    "    configs,\n",
    "    task=\"los-nlos\",\n",
    "    n_ant=32, n_sub=32,\n",
    "    max_samples=3000,\n",
    "    balance_classes=False,\n",
    "    cache_dir=CACHE_DIR,\n",
    ")\n",
    "\n",
    "print(f\"Generated {len(collection)} datasets:\")\n",
    "for ds in collection:\n",
    "    n0 = (ds.labels == 0).sum().item()\n",
    "    n1 = (ds.labels == 1).sum().item()\n",
    "    print(f\"  {ds.name}: {len(ds)} samples (LoS={n0}, NLoS={n1}, LoS%={100*n0/len(ds):.0f}%)\")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b1759490",
   "metadata": {},
   "source": [
    "## Step 2: Compute Pairwise Distances\n",
    "\n",
    "Load the LWM encoder, embed each dataset, and compute **label-aware** Sliced Wasserstein Distances (SWD).\n",
    "\n",
    "Label-aware distances compute per-class embedding distances and average them, isolating channel similarity from label-ratio overlap. This requires datasets with **diverse class ratios** — mixing high-LoS and low-LoS scenarios. With the pretrained LWM encoder, expect **Pearson ~0.5–0.7**.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "7d7ddf69",
   "metadata": {},
   "outputs": [],
   "source": [
    "from dataset_distancing import compute_distances, DistanceConfig\n",
    "from dataset_distancing.embeddings import load_runner\n",
    "import torch, numpy as np\n",
    "\n",
    "torch.manual_seed(42)\n",
    "np.random.seed(42)\n",
    "\n",
    "# Pretrained LWM encoder\n",
    "runner = load_runner(LWM_PATH)\n",
    "\n",
    "D = compute_distances(collection, runner, cfg=DistanceConfig(\n",
    "    distance=\"swd\",\n",
    "    label_aware=True,        # per-class distances — critical for correlation\n",
    "    n_per_dataset=500,\n",
    "    sw_projections=64,\n",
    "))\n",
    "\n",
    "print(f\"Distance matrix ({D.shape[0]}x{D.shape[1]}):\")\n",
    "print(D)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5c91dd6e",
   "metadata": {},
   "source": [
    "## Step 3: Compute Transfer Performance Matrix\n",
    "\n",
    "For every pair (i, j), train a lightweight LoS/NLoS classifier on dataset i and evaluate weighted F1 on dataset j. The matrix entry is `P[i,j] = 1 - F1` (lower = better transfer). The matrix is automatically symmetrized."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "644b91ce",
   "metadata": {},
   "outputs": [],
   "source": [
    "from dataset_distancing import compute_performance_matrix, TransferConfig\n",
    "\n",
    "P = compute_performance_matrix(\n",
    "    collection,\n",
    "    cfg=TransferConfig(\n",
    "        task=\"los-nlos\",\n",
    "        epochs=25,\n",
    "        batch_size=32,\n",
    "        verbose=True,\n",
    "    ),\n",
    ")\n",
    "\n",
    "print(f\"\\nPerformance matrix (1 - F1):\")\n",
    "print(P)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e68328f0",
   "metadata": {},
   "source": [
    "## Step 4: Correlate Distances with Transfer Performance\n",
    "\n",
    "Compute Pearson and Spearman correlation between the upper-triangular entries of the distance matrix D and the performance matrix P. High positive correlation means larger distance predicts worse transfer (higher 1-F1).\n",
    "\n",
    "With label-aware SWD and the pretrained LWM encoder on datasets with diverse class ratios, expect **Pearson ~0.6–0.7**. CDE fine-tuning (below) can push this to **~0.8**.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "1ceba9fa",
   "metadata": {},
   "outputs": [],
   "source": [
    "from dataset_distancing import correlate\n",
    "\n",
    "stats = correlate(D, P)\n",
    "\n",
    "print(f\"Pearson:  r   = {stats['pearson']:.4f}  (p = {stats['pearson_p']:.2e})\")\n",
    "print(f\"Spearman: rho = {stats['spearman']:.4f}  (p = {stats['spearman_p']:.2e})\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "5975b355",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "\n",
    "short_names = [n.replace(\"_3p5_tx1\", \"\").replace(\"city_\", \"\") for n in collection.names()]\n",
    "\n",
    "fig, axes = plt.subplots(1, 3, figsize=(18, 5))\n",
    "\n",
    "# Distance matrix heatmap\n",
    "im0 = axes[0].imshow(D.numpy(), cmap=\"viridis\")\n",
    "axes[0].set_xticks(range(len(short_names)))\n",
    "axes[0].set_yticks(range(len(short_names)))\n",
    "axes[0].set_xticklabels(short_names, rotation=45, ha=\"right\", fontsize=7)\n",
    "axes[0].set_yticklabels(short_names, fontsize=7)\n",
    "axes[0].set_title(\"Distance Matrix D (SWD)\")\n",
    "fig.colorbar(im0, ax=axes[0], shrink=0.8)\n",
    "\n",
    "# Performance matrix heatmap\n",
    "im1 = axes[1].imshow(P.numpy(), cmap=\"magma\")\n",
    "axes[1].set_xticks(range(len(short_names)))\n",
    "axes[1].set_yticks(range(len(short_names)))\n",
    "axes[1].set_xticklabels(short_names, rotation=45, ha=\"right\", fontsize=7)\n",
    "axes[1].set_yticklabels(short_names, fontsize=7)\n",
    "axes[1].set_title(\"Performance Matrix P (1 - F1)\")\n",
    "fig.colorbar(im1, ax=axes[1], shrink=0.8)\n",
    "\n",
    "# Scatter: distance vs performance (upper triangle)\n",
    "tri = np.triu_indices(len(collection), k=1)\n",
    "d_flat = D.numpy()[tri]\n",
    "p_flat = P.numpy()[tri]\n",
    "axes[2].scatter(d_flat, p_flat, alpha=0.6, edgecolors=\"k\", linewidths=0.5)\n",
    "# Fit line\n",
    "m, b = np.polyfit(d_flat, p_flat, 1)\n",
    "x_line = np.linspace(d_flat.min(), d_flat.max(), 100)\n",
    "axes[2].plot(x_line, m * x_line + b, \"r--\", linewidth=1.5)\n",
    "axes[2].set_xlabel(\"Dataset Distance (SWD)\")\n",
    "axes[2].set_ylabel(\"Transfer Gap (1 - F1)\")\n",
    "axes[2].set_title(f\"Correlation: r={stats['pearson']:.3f}, ρ={stats['spearman']:.3f}\")\n",
    "axes[2].grid(True, alpha=0.3)\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Optional: CDE Fine-Tuning on These Scenarios\n",
    "\n",
    "Train LWM-CDE directly on the current scenario set to maximize distance–performance correlation. This fine-tunes the top LWM layers and a small projection head so that embedding distances better predict transfer performance.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "from dataset_distancing.cde import CDETrainer\n",
    "from dataset_distancing import CDEConfig\n",
    "\n",
    "# Reload runner (fine-tuning modifies the model in-place)\n",
    "runner_ft = load_runner(LWM_PATH)\n",
    "\n",
    "trainer = CDETrainer(runner_ft, CDEConfig(\n",
    "    epochs=60,\n",
    "    lr=5e-4,\n",
    "    finetune_start_layer=6,   # unfreeze top 6 layers\n",
    "    n_per_dataset=64,\n",
    "    n_per_dataset_eval=128,\n",
    "    w_listwise=1.0,\n",
    "    w_correlation=0.5,\n",
    "    w_consistency=0.2,\n",
    "    w_distill=0.2,\n",
    "    eval_every=5,\n",
    "    early_stop_patience=6,\n",
    "    distance=DistanceConfig(sw_projections=16, label_aware=True),\n",
    "))\n",
    "\n",
    "# Fine-tune using the performance matrix as supervision\n",
    "stats = trainer.fit(collection, P, eval_collection=collection, perf_eval=P, verbose=True)\n",
    "print(f\"\\nAfter CDE fine-tuning: Pearson={stats['pearson']:.4f}, Spearman={stats['spearman']:.4f}\")\n",
    "\n",
    "# Recompute distances with the fine-tuned model + head\n",
    "D_cde = trainer.compute_distances(collection, DistanceConfig(\n",
    "    distance=\"swd\",\n",
    "    label_aware=True,\n",
    "    n_per_dataset=512,\n",
    "    sw_projections=256,\n",
    "))\n",
    "\n",
    "stats_cde = correlate(D_cde, P)\n",
    "print(f\"\\nFine-tuned distances: Pearson={stats_cde['pearson']:.4f}, Spearman={stats_cde['spearman']:.4f}\")\n",
    "print(f\"Baseline pretrained:  Pearson={correlate(D, P)['pearson']:.4f}\")\n",
    "\n",
    "# Save the fine-tuned model (backbone + head)\n",
    "trainer.save(f\"{CACHE_DIR}/cde_finetuned\")\n",
    "print(f\"\\nCDE model saved to {CACHE_DIR}/cde_finetuned/\")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1fed0c5b",
   "metadata": {},
   "source": [
    "## Step 5a: Source Selection\n",
    "\n",
    "For each target dataset, find the nearest source datasets in the distance space. The prediction: training on the nearest source yields the best transfer. We verify against the actual performance matrix."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "14647897",
   "metadata": {},
   "outputs": [],
   "source": [
    "from dataset_distancing.applications import source_selection\n",
    "\n",
    "picks = source_selection(D, target_indices=[7, 9], top_k=2)\n",
    "\n",
    "print(\"Source selection (top-2 nearest by distance):\")\n",
    "for t, srcs in picks.items():\n",
    "    print(f\"  {collection[t].name} <- {[collection[s].name for s in srcs]}\")\n",
    "\n",
    "# Verify against performance matrix (ground truth)\n",
    "print(\"\\nGround truth (lowest 1-F1 = best actual transfer):\")\n",
    "for t in [7, 9]:\n",
    "    row = P[t].clone()\n",
    "    row[t] = float(\"inf\")\n",
    "    best = row.argsort()[:2].tolist()\n",
    "    print(f\"  {collection[t].name} <- {[collection[s].name for s in best]}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0c58bd5e",
   "metadata": {},
   "source": [
    "## Step 5b: Data Augmentation Ranking\n",
    "\n",
    "Rank all candidate datasets by distance to a label-scarce target. The nearest dataset is predicted to provide the most useful augmentation data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "37fb4c5e",
   "metadata": {},
   "outputs": [],
   "source": [
    "from dataset_distancing.applications import augmentation_ranking\n",
    "\n",
    "target_idx = 0\n",
    "ranking = augmentation_ranking(D, target_idx=target_idx)\n",
    "\n",
    "print(f\"Augmentation ranking for {collection[target_idx].name} (nearest first):\")\n",
    "for rank, idx in enumerate(ranking, 1):\n",
    "    print(f\"  {rank}. {collection[idx].name}  \"\n",
    "          f\"(distance = {D[target_idx, idx]:.4f}, \"\n",
    "          f\"1-F1 = {P[target_idx, idx]:.4f})\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cbe65884",
   "metadata": {},
   "source": [
    "## Step 5c: Budgeted Pretraining\n",
    "\n",
    "Select k diverse representative datasets that cover the dataset manifold. Four selection algorithms are available."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "93183ebf",
   "metadata": {},
   "outputs": [],
   "source": [
    "from dataset_distancing.applications import budgeted_pretraining\n",
    "from dataset_distancing import select_datasets\n",
    "\n",
    "# k-medoids (default) -- minimizes total assignment cost\n",
    "subset_kmed = budgeted_pretraining(D, k=3, method=\"kmedoids\")\n",
    "print(f\"k-medoids (k=3):      {[collection[i].name for i in subset_kmed]}\")\n",
    "\n",
    "# k-center (farthest-first traversal) -- minimizes worst-case assignment\n",
    "subset_kc = select_datasets(D, k=3, method=\"kcenter\")\n",
    "print(f\"k-center (k=3):       {[collection[i].name for i in subset_kc]}\")\n",
    "\n",
    "# Facility location (greedy submodular) -- maximizes similarity coverage\n",
    "subset_fl = select_datasets(D, k=3, method=\"fl\")\n",
    "print(f\"Facility-loc (k=3):   {[collection[i].name for i in subset_fl]}\")\n",
    "\n",
    "# Max-sum diversity -- maximizes total pairwise distance\n",
    "subset_msd = select_datasets(D, k=3, method=\"msd\")\n",
    "print(f\"Max-sum div (k=3):    {[collection[i].name for i in subset_msd]}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4ef4d8e5",
   "metadata": {},
   "source": [
    "## Summary"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "3b377da7",
   "metadata": {},
   "outputs": [],
   "source": [
    "names = collection.names()\n",
    "\n",
    "print(\"=\" * 60)\n",
    "print(\"DATASET DISTANCING RESULTS\")\n",
    "print(\"=\" * 60)\n",
    "\n",
    "print(f\"\\nDatasets ({len(names)}):\")\n",
    "for i, name in enumerate(names):\n",
    "    print(f\"  [{i}] {name} ({len(collection[i])} samples)\")\n",
    "\n",
    "print(f\"\\nDistance matrix D (SWD):\")\n",
    "print(D.numpy().round(4))\n",
    "\n",
    "print(f\"\\nPerformance matrix P (1 - F1):\")\n",
    "print(P.numpy().round(4))\n",
    "\n",
    "print(f\"\\nCorrelation (D vs P):\")\n",
    "print(f\"  Pearson  r   = {stats['pearson']:.4f}  (p = {stats['pearson_p']:.2e})\")\n",
    "print(f\"  Spearman rho = {stats['spearman']:.4f}  (p = {stats['spearman_p']:.2e})\")\n",
    "\n",
    "print(f\"\\nSource selection (top-2):\")\n",
    "for t, srcs in picks.items():\n",
    "    print(f\"  {names[t]} <- {[names[s] for s in srcs]}\")\n",
    "\n",
    "print(f\"\\nAugmentation ranking for {names[target_idx]}:\")\n",
    "for rank, idx in enumerate(ranking, 1):\n",
    "    print(f\"  {rank}. {names[idx]}\")\n",
    "\n",
    "print(f\"\\nBudgeted pretraining (k=3, k-medoids):\")\n",
    "print(f\"  {[names[i] for i in subset_kmed]}\")\n",
    "\n",
    "print(\"\\n\" + \"=\" * 60)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "lwmComp_env",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}