Create 10_run_finetune.py
Browse files- 10_run_finetune.py +339 -0
10_run_finetune.py
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| 1 |
+
"""
|
| 2 |
+
cell_r_runner.py β Phase R: sphere-packing prediction test
|
| 3 |
+
|
| 4 |
+
Trains 3 configs whose (V, D) match natural sphere polytopes:
|
| 5 |
+
D=4, V=16: 16-cell vertices on SΒ³
|
| 6 |
+
D=4, V=8: 8-cell / 16-cell vertex subset on SΒ³
|
| 7 |
+
D=3, V=20: dodecahedron vertices on SΒ²
|
| 8 |
+
|
| 9 |
+
Hypothesis: each will produce H2-LIKE rows (high stability, low antipodal
|
| 10 |
+
pairs, full rank utilization) because V points uniformly fit S^(D-1) for
|
| 11 |
+
these counts. The G-Class behavior at (V=32, D=3) was geometric frustration
|
| 12 |
+
β natural V's should reproduce H2 sphere-solver character.
|
| 13 |
+
|
| 14 |
+
After training, immediately runs the v3 probe metrics on each model:
|
| 15 |
+
- per-sample sphere-norm
|
| 16 |
+
- row stability across 512 gaussian inputs
|
| 17 |
+
- antipodal pair fraction
|
| 18 |
+
- per-sample silhouette
|
| 19 |
+
- effective rank
|
| 20 |
+
- pairwise angle distribution
|
| 21 |
+
|
| 22 |
+
Outputs:
|
| 23 |
+
/content/phaseR_reports/results_phaseR.json β training results + probes
|
| 24 |
+
/content/phaseR_reports/phaseR_summary.png β H2-LIKE / G-LIKE verdicts
|
| 25 |
+
"""
|
| 26 |
+
|
| 27 |
+
import json
|
| 28 |
+
import math
|
| 29 |
+
import time
|
| 30 |
+
import traceback
|
| 31 |
+
from pathlib import Path
|
| 32 |
+
|
| 33 |
+
import numpy as np
|
| 34 |
+
import torch
|
| 35 |
+
import torch.nn.functional as F
|
| 36 |
+
import matplotlib.pyplot as plt
|
| 37 |
+
from sklearn.cluster import KMeans
|
| 38 |
+
from sklearn.metrics import silhouette_score
|
| 39 |
+
|
| 40 |
+
|
| 41 |
+
OUTPUT_ROOT = Path("/content/phaseR_reports")
|
| 42 |
+
OUTPUT_ROOT.mkdir(parents=True, exist_ok=True)
|
| 43 |
+
AGGREGATE_PATH = OUTPUT_ROOT / "results_phaseR.json"
|
| 44 |
+
SUMMARY_PLOT = OUTPUT_ROOT / "phaseR_summary.png"
|
| 45 |
+
|
| 46 |
+
|
| 47 |
+
# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 48 |
+
# Geometric probe (compact version of v3)
|
| 49 |
+
# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 50 |
+
|
| 51 |
+
def collect_M(model, cfg, n_batches=8, batch_size=64):
|
| 52 |
+
device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')
|
| 53 |
+
model = model.to(device)
|
| 54 |
+
ds = OmegaNoiseDataset(
|
| 55 |
+
size=n_batches * batch_size, img_size=cfg.img_size,
|
| 56 |
+
allowed_types=[0])
|
| 57 |
+
loader = torch.utils.data.DataLoader(ds, batch_size=batch_size, shuffle=False)
|
| 58 |
+
|
| 59 |
+
all_M = []
|
| 60 |
+
with torch.no_grad():
|
| 61 |
+
for imgs, _ in loader:
|
| 62 |
+
imgs = imgs.to(device)
|
| 63 |
+
out = model(imgs)
|
| 64 |
+
M_patch0 = out['svd']['M'][:, 0]
|
| 65 |
+
all_M.append(M_patch0.cpu())
|
| 66 |
+
return torch.cat(all_M, dim=0).numpy()
|
| 67 |
+
|
| 68 |
+
|
| 69 |
+
def probe_geometry(all_M):
|
| 70 |
+
"""Return all v3 probe metrics in one dict."""
|
| 71 |
+
# sphere-norm
|
| 72 |
+
row_norms = np.linalg.norm(all_M, axis=2)
|
| 73 |
+
sphere_normed = abs(row_norms.mean() - 1.0) < 0.05 and row_norms.std() < 0.05
|
| 74 |
+
|
| 75 |
+
# row stability
|
| 76 |
+
mean_dirs = all_M.mean(axis=0)
|
| 77 |
+
mean_dir_norms = np.linalg.norm(mean_dirs, axis=1)
|
| 78 |
+
|
| 79 |
+
# per-sample silhouette (k=5 if Vβ₯10 else k=V//2)
|
| 80 |
+
V = all_M.shape[1]
|
| 81 |
+
k_test = min(5, max(2, V // 2))
|
| 82 |
+
sils = []
|
| 83 |
+
for i in range(min(20, all_M.shape[0])):
|
| 84 |
+
try:
|
| 85 |
+
km = KMeans(n_clusters=k_test, n_init=10, random_state=42)
|
| 86 |
+
labels = km.fit_predict(all_M[i])
|
| 87 |
+
if len(set(labels)) >= 2:
|
| 88 |
+
sils.append(silhouette_score(all_M[i], labels))
|
| 89 |
+
except Exception:
|
| 90 |
+
pass
|
| 91 |
+
sils = np.array(sils)
|
| 92 |
+
|
| 93 |
+
# angular
|
| 94 |
+
all_rows = all_M.reshape(-1, all_M.shape[-1])
|
| 95 |
+
norms = np.linalg.norm(all_rows, axis=1, keepdims=True)
|
| 96 |
+
unit_rows = all_rows / np.clip(norms, 1e-12, None)
|
| 97 |
+
n_subset = min(500, unit_rows.shape[0])
|
| 98 |
+
idx = np.random.RandomState(42).choice(unit_rows.shape[0], n_subset, replace=False)
|
| 99 |
+
cosines = unit_rows[idx] @ unit_rows[idx].T
|
| 100 |
+
pairwise_angles = np.arccos(
|
| 101 |
+
np.clip(cosines[np.triu_indices(n_subset, k=1)], -1, 1))
|
| 102 |
+
|
| 103 |
+
# antipodal
|
| 104 |
+
unit_dirs = mean_dirs / np.clip(
|
| 105 |
+
np.linalg.norm(mean_dirs, axis=1, keepdims=True), 1e-12, None)
|
| 106 |
+
cos_mat = unit_dirs @ unit_dirs.T
|
| 107 |
+
np.fill_diagonal(cos_mat, 1.0)
|
| 108 |
+
most_anti = cos_mat.min(axis=1)
|
| 109 |
+
|
| 110 |
+
# effective rank
|
| 111 |
+
M_avg = all_M.mean(axis=0)
|
| 112 |
+
sv = np.linalg.svd(M_avg, compute_uv=False)
|
| 113 |
+
sv_norm = sv / sv.sum()
|
| 114 |
+
erank = math.exp(-(sv_norm * np.log(sv_norm + 1e-12)).sum())
|
| 115 |
+
|
| 116 |
+
return {
|
| 117 |
+
'sphere_normed': bool(sphere_normed),
|
| 118 |
+
'row_norm_mean': float(row_norms.mean()),
|
| 119 |
+
'stability_mean': float(mean_dir_norms.mean()),
|
| 120 |
+
'stability_min': float(mean_dir_norms.min()),
|
| 121 |
+
'stability_max': float(mean_dir_norms.max()),
|
| 122 |
+
'silhouette_mean': float(sils.mean()) if len(sils) else None,
|
| 123 |
+
'silhouette_std': float(sils.std()) if len(sils) else None,
|
| 124 |
+
'angular_mean': float(pairwise_angles.mean()),
|
| 125 |
+
'angular_near_pi': float((pairwise_angles > math.pi - 0.5).mean()),
|
| 126 |
+
'angular_near_perp': float(
|
| 127 |
+
((pairwise_angles > math.pi/2 - 0.3) &
|
| 128 |
+
(pairwise_angles < math.pi/2 + 0.3)).mean()),
|
| 129 |
+
'antipodal_frac': float((most_anti < -0.9).mean()),
|
| 130 |
+
'antipodal_pairs': int((most_anti < -0.9).sum() // 2),
|
| 131 |
+
'antipodal_max_pairs': int(all_M.shape[1] // 2),
|
| 132 |
+
'effective_rank': float(erank),
|
| 133 |
+
'D': int(all_M.shape[2]),
|
| 134 |
+
'utilization': float(erank / all_M.shape[2]),
|
| 135 |
+
}
|
| 136 |
+
|
| 137 |
+
|
| 138 |
+
def classify_character(probe):
|
| 139 |
+
"""H2-LIKE / G-LIKE / DIFFUSE / HYBRID β same logic as v3."""
|
| 140 |
+
stab = probe['stability_mean']
|
| 141 |
+
anti = probe['antipodal_frac']
|
| 142 |
+
util = probe['utilization']
|
| 143 |
+
|
| 144 |
+
if stab > 0.85 and anti < 0.55 and util > 0.95:
|
| 145 |
+
return 'H2-LIKE'
|
| 146 |
+
if stab < 0.65 and anti > 0.80:
|
| 147 |
+
return 'G-LIKE'
|
| 148 |
+
if stab < 0.65 and anti < 0.55:
|
| 149 |
+
return 'DIFFUSE'
|
| 150 |
+
return 'HYBRID'
|
| 151 |
+
|
| 152 |
+
|
| 153 |
+
# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 154 |
+
# Build trained model from a Q-style report
|
| 155 |
+
# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 156 |
+
|
| 157 |
+
def build_model_from_config(ablation_config):
|
| 158 |
+
"""Build the model architecture (without loaded weights). After
|
| 159 |
+
training, load from checkpoint."""
|
| 160 |
+
cfg = build_run_config(ablation_config)
|
| 161 |
+
overrides = ablation_config['overrides']
|
| 162 |
+
model = PatchSVAE_F_Ablation(
|
| 163 |
+
matrix_v=cfg.matrix_v, D=cfg.D, patch_size=cfg.patch_size,
|
| 164 |
+
hidden=cfg.hidden, depth=cfg.depth,
|
| 165 |
+
n_cross_layers=cfg.n_cross_layers, n_heads=cfg.n_heads,
|
| 166 |
+
max_alpha=overrides.get('max_alpha', cfg.max_alpha),
|
| 167 |
+
alpha_init=cfg.alpha_init,
|
| 168 |
+
activation=overrides.get('activation', 'gelu'),
|
| 169 |
+
row_norm=overrides.get('row_norm', 'sphere'),
|
| 170 |
+
svd_mode=overrides.get('svd', 'fp64'),
|
| 171 |
+
linear_readout=overrides.get('linear_readout', False),
|
| 172 |
+
match_params=overrides.get('match_params', True),
|
| 173 |
+
init_scheme=overrides.get('init', 'orthogonal'),
|
| 174 |
+
)
|
| 175 |
+
return model, cfg
|
| 176 |
+
|
| 177 |
+
|
| 178 |
+
def load_trained(ablation_config, output_dir):
|
| 179 |
+
"""Load the trained model's weights from its epoch checkpoint."""
|
| 180 |
+
model, cfg = build_model_from_config(ablation_config)
|
| 181 |
+
ckpt_path = Path(output_dir) / "epoch_1_checkpoint.pt"
|
| 182 |
+
ckpt = torch.load(ckpt_path, map_location='cpu', weights_only=False)
|
| 183 |
+
state_dict = (
|
| 184 |
+
ckpt.get('model_state')
|
| 185 |
+
or ckpt.get('model_state_dict')
|
| 186 |
+
or ckpt.get('state_dict')
|
| 187 |
+
or ckpt
|
| 188 |
+
)
|
| 189 |
+
model.load_state_dict(state_dict)
|
| 190 |
+
model.eval()
|
| 191 |
+
return model, cfg
|
| 192 |
+
|
| 193 |
+
|
| 194 |
+
# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 195 |
+
# Main
|
| 196 |
+
# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 197 |
+
|
| 198 |
+
def run_sweep_with_probes():
|
| 199 |
+
configs = get_phaseR_configs()
|
| 200 |
+
print(f"Phase R: {len(configs)} packed-polytope test configs")
|
| 201 |
+
print(f"Output: {OUTPUT_ROOT}\n")
|
| 202 |
+
|
| 203 |
+
print("Predicted: each config produces H2-LIKE static rows because")
|
| 204 |
+
print("(V, D) matches a natural sphere polytope vertex count.\n")
|
| 205 |
+
|
| 206 |
+
print("Config lineup:")
|
| 207 |
+
for cfg in configs:
|
| 208 |
+
ov = cfg['overrides']
|
| 209 |
+
print(f" {cfg['variant']:<45} V={ov['V']} D={ov['D']}")
|
| 210 |
+
print()
|
| 211 |
+
|
| 212 |
+
results = []
|
| 213 |
+
sweep_t0 = time.time()
|
| 214 |
+
|
| 215 |
+
for i, cfg in enumerate(configs):
|
| 216 |
+
print(f"[{i+1}/{len(configs)}] {cfg['variant']}")
|
| 217 |
+
config_output_dir = OUTPUT_ROOT / cfg['variant']
|
| 218 |
+
config_output_dir.mkdir(exist_ok=True)
|
| 219 |
+
|
| 220 |
+
# ββ Train ββ
|
| 221 |
+
t0 = time.time()
|
| 222 |
+
try:
|
| 223 |
+
report = run_ablation_config(
|
| 224 |
+
ablation_config=cfg,
|
| 225 |
+
output_dir=str(config_output_dir),
|
| 226 |
+
batch_limit=phase2_batch_limit(cfg),
|
| 227 |
+
num_epochs=cfg.get('num_epochs', 1),
|
| 228 |
+
)
|
| 229 |
+
report['_sweep_status'] = 'ok'
|
| 230 |
+
train_time = time.time() - t0
|
| 231 |
+
|
| 232 |
+
g_mse = report.get('test_mse_per_noise', {}).get(0,
|
| 233 |
+
report.get('test_mse_per_noise', {}).get('0'))
|
| 234 |
+
cv = report.get('observed_sphere_cv', 0.0)
|
| 235 |
+
print(f" train: {train_time:.0f}s, "
|
| 236 |
+
f"G-MSE={g_mse:.5f}, CV={cv:.3f}")
|
| 237 |
+
|
| 238 |
+
# ββ Probe geometry ββ
|
| 239 |
+
print(f" probe: collecting M rows + running v3 metrics...", end=' ', flush=True)
|
| 240 |
+
t1 = time.time()
|
| 241 |
+
try:
|
| 242 |
+
model, run_cfg = load_trained(cfg, config_output_dir)
|
| 243 |
+
all_M = collect_M(model, run_cfg)
|
| 244 |
+
probe = probe_geometry(all_M)
|
| 245 |
+
probe['M_shape'] = list(all_M.shape)
|
| 246 |
+
probe['character'] = classify_character(probe)
|
| 247 |
+
report['probe'] = probe
|
| 248 |
+
print(f"{time.time()-t1:.0f}s β {probe['character']}")
|
| 249 |
+
print(f" stability={probe['stability_mean']:.3f}, "
|
| 250 |
+
f"antipodal={probe['antipodal_pairs']}/"
|
| 251 |
+
f"{probe['antipodal_max_pairs']}, "
|
| 252 |
+
f"utilization={probe['utilization']*100:.0f}%")
|
| 253 |
+
except Exception as e:
|
| 254 |
+
report['probe'] = {'error': f'{type(e).__name__}: {str(e)[:300]}'}
|
| 255 |
+
print(f"FAILED: {type(e).__name__}: {str(e)[:80]}")
|
| 256 |
+
|
| 257 |
+
except Exception as e:
|
| 258 |
+
report = {
|
| 259 |
+
'_sweep_status': f'error: {type(e).__name__}: {str(e)[:300]}',
|
| 260 |
+
'_traceback': traceback.format_exc()[:2000],
|
| 261 |
+
'config': cfg,
|
| 262 |
+
'variant': cfg['variant'],
|
| 263 |
+
}
|
| 264 |
+
print(f" ERROR: {type(e).__name__}: {str(e)[:80]}")
|
| 265 |
+
|
| 266 |
+
report['variant'] = cfg['variant']
|
| 267 |
+
report['wallclock_outer_s'] = time.time() - t0
|
| 268 |
+
results.append(report)
|
| 269 |
+
|
| 270 |
+
with open(AGGREGATE_PATH, 'w') as f:
|
| 271 |
+
json.dump(results, f, indent=2, default=str)
|
| 272 |
+
print()
|
| 273 |
+
|
| 274 |
+
# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 275 |
+
# Verdict summary
|
| 276 |
+
# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 277 |
+
|
| 278 |
+
print("=" * 70)
|
| 279 |
+
print("PHASE R RESULTS β sphere-packing hypothesis test")
|
| 280 |
+
print("=" * 70)
|
| 281 |
+
|
| 282 |
+
print(f"\n{'Variant':<45} {'G-MSE':>9} {'Char':>10} {'Stab':>6} {'Anti':>10}")
|
| 283 |
+
print("-" * 85)
|
| 284 |
+
|
| 285 |
+
n_h2like = 0
|
| 286 |
+
n_glike = 0
|
| 287 |
+
for r in results:
|
| 288 |
+
v = r.get('variant', '?')
|
| 289 |
+
probe = r.get('probe', {})
|
| 290 |
+
if 'error' in probe:
|
| 291 |
+
print(f"{v[:45]:<45} {'N/A':>9} {'PROBE_ERR':>10}")
|
| 292 |
+
continue
|
| 293 |
+
g_mse = r.get('test_mse_per_noise', {}).get(0,
|
| 294 |
+
r.get('test_mse_per_noise', {}).get('0', float('nan')))
|
| 295 |
+
char = probe.get('character', '?')
|
| 296 |
+
stab = probe.get('stability_mean', 0)
|
| 297 |
+
ap_pairs = probe.get('antipodal_pairs', 0)
|
| 298 |
+
ap_max = probe.get('antipodal_max_pairs', 0)
|
| 299 |
+
print(f"{v[:45]:<45} {g_mse:>9.5f} {char:>10} {stab:>6.3f} "
|
| 300 |
+
f"{f'{ap_pairs}/{ap_max}':>10}")
|
| 301 |
+
if char == 'H2-LIKE':
|
| 302 |
+
n_h2like += 1
|
| 303 |
+
elif char == 'G-LIKE':
|
| 304 |
+
n_glike += 1
|
| 305 |
+
|
| 306 |
+
print(f"\n H2-LIKE: {n_h2like}/{len(results)}")
|
| 307 |
+
print(f" G-LIKE: {n_glike}/{len(results)}")
|
| 308 |
+
|
| 309 |
+
print("\n" + "=" * 70)
|
| 310 |
+
print("INTERPRETATION")
|
| 311 |
+
print("=" * 70)
|
| 312 |
+
|
| 313 |
+
if n_h2like == len(results):
|
| 314 |
+
print(" All 3 packed-polytope configs produced H2-LIKE batteries.")
|
| 315 |
+
print(" β Sphere-packing hypothesis CONFIRMED.")
|
| 316 |
+
print(" β G-Class is a SYMPTOM of (V, D) geometric frustration,")
|
| 317 |
+
print(" not a battery family in its own right.")
|
| 318 |
+
print(" β Useful (V, D) pairs follow polytope vertex counts:")
|
| 319 |
+
print(" D=3: 4, 6, 8, 12, 20 (Platonic)")
|
| 320 |
+
print(" D=4: 5, 8, 16, 24, 120, 600 (4D regular polytopes)")
|
| 321 |
+
print(" Dβ₯5: most V's work (high-D sphere-packing flexible)")
|
| 322 |
+
elif n_h2like > 0:
|
| 323 |
+
print(f" Mixed: {n_h2like}/{len(results)} produced H2-LIKE.")
|
| 324 |
+
print(" β Hypothesis partially supported but more nuanced.")
|
| 325 |
+
print(" β Some packed-polytope V's work, others don't.")
|
| 326 |
+
else:
|
| 327 |
+
print(" No H2-LIKE batteries produced.")
|
| 328 |
+
print(" β Sphere-packing hypothesis FALSIFIED.")
|
| 329 |
+
print(" β G-Class behavior has a different cause.")
|
| 330 |
+
|
| 331 |
+
total = time.time() - sweep_t0
|
| 332 |
+
print(f"\nTotal time: {total/60:.1f} min")
|
| 333 |
+
print(f"Aggregate: {AGGREGATE_PATH}")
|
| 334 |
+
|
| 335 |
+
return results
|
| 336 |
+
|
| 337 |
+
|
| 338 |
+
if __name__ == '__main__':
|
| 339 |
+
results = run_sweep_with_probes()
|