Create cell_5_conduit_sweep.py
Browse files- cell_5_conduit_sweep.py +331 -0
cell_5_conduit_sweep.py
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| 1 |
+
"""
|
| 2 |
+
Cell 5 β Spatial Conv Readout on Conduit Maps
|
| 3 |
+
===============================================
|
| 4 |
+
No pooling. No flattening. Conv reads the 16Γ16 spatial grid directly.
|
| 5 |
+
|
| 6 |
+
This is the CORRECT way to evaluate whether conduit signals carry
|
| 7 |
+
class-discriminative information. The linear probe was wrong β
|
| 8 |
+
it destroyed the spatial structure that IS the signal.
|
| 9 |
+
|
| 10 |
+
Channels on the 16Γ16 grid:
|
| 11 |
+
S values: 4 channels (eigenvalues per patch)
|
| 12 |
+
Friction: 4 channels (solver struggle per mode)
|
| 13 |
+
Release error: 1 channel (reconstruction fidelity per patch)
|
| 14 |
+
Settle: 4 channels (convergence speed per mode)
|
| 15 |
+
|
| 16 |
+
Test each signal alone and combined, all through conv readout.
|
| 17 |
+
"""
|
| 18 |
+
|
| 19 |
+
import torch
|
| 20 |
+
import torch.nn as nn
|
| 21 |
+
import torch.nn.functional as F
|
| 22 |
+
import numpy as np
|
| 23 |
+
import time
|
| 24 |
+
from tqdm import tqdm
|
| 25 |
+
|
| 26 |
+
device = torch.device('cuda')
|
| 27 |
+
|
| 28 |
+
# βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 29 |
+
# LOAD
|
| 30 |
+
# βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 31 |
+
|
| 32 |
+
print("Loading Freckles v40 + CIFAR-10...")
|
| 33 |
+
from geolip_svae import load_model
|
| 34 |
+
from geolip_svae.model import extract_patches
|
| 35 |
+
import torchvision
|
| 36 |
+
import torchvision.transforms as T
|
| 37 |
+
from geolip_core.linalg.conduit import FLEighConduit
|
| 38 |
+
|
| 39 |
+
freckles, cfg = load_model(hf_version='v40_freckles_noise', device=device)
|
| 40 |
+
freckles.eval()
|
| 41 |
+
|
| 42 |
+
ps = freckles.patch_size
|
| 43 |
+
gh, gw = 64 // ps, 64 // ps
|
| 44 |
+
D = 4
|
| 45 |
+
|
| 46 |
+
transform = T.Compose([T.Resize(64), T.ToTensor()])
|
| 47 |
+
cifar_train = torchvision.datasets.CIFAR10(
|
| 48 |
+
root='/content/data', train=True, download=True, transform=transform)
|
| 49 |
+
cifar_test = torchvision.datasets.CIFAR10(
|
| 50 |
+
root='/content/data', train=False, download=True, transform=transform)
|
| 51 |
+
|
| 52 |
+
train_loader = torch.utils.data.DataLoader(
|
| 53 |
+
cifar_train, batch_size=128, shuffle=False, num_workers=4)
|
| 54 |
+
test_loader = torch.utils.data.DataLoader(
|
| 55 |
+
cifar_test, batch_size=128, shuffle=False, num_workers=4)
|
| 56 |
+
|
| 57 |
+
conduit = FLEighConduit().to(device)
|
| 58 |
+
|
| 59 |
+
CLASSES = ['airplane', 'auto', 'bird', 'cat', 'deer',
|
| 60 |
+
'dog', 'frog', 'horse', 'ship', 'truck']
|
| 61 |
+
|
| 62 |
+
|
| 63 |
+
# βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 64 |
+
# PRECOMPUTE ALL CONDUIT MAPS
|
| 65 |
+
# βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 66 |
+
|
| 67 |
+
def extract_conduit_maps(loader, desc="Extracting"):
|
| 68 |
+
"""Extract spatial conduit maps from all images.
|
| 69 |
+
|
| 70 |
+
Returns per image:
|
| 71 |
+
S_map: (gh, gw, 4) eigenvalues
|
| 72 |
+
friction_map:(gh, gw, 4) solver friction
|
| 73 |
+
settle_map: (gh, gw, 4) settle times
|
| 74 |
+
error_map: (gh, gw, 1) per-patch recon error
|
| 75 |
+
label: int
|
| 76 |
+
"""
|
| 77 |
+
all_S = []
|
| 78 |
+
all_fric = []
|
| 79 |
+
all_settle = []
|
| 80 |
+
all_error = []
|
| 81 |
+
all_labels = []
|
| 82 |
+
|
| 83 |
+
for images, labels in tqdm(loader, desc=desc):
|
| 84 |
+
with torch.no_grad():
|
| 85 |
+
images_gpu = images.to(device)
|
| 86 |
+
out = freckles(images_gpu)
|
| 87 |
+
recon = out['recon']
|
| 88 |
+
S = out['svd']['S'] # (B, N, D)
|
| 89 |
+
Vt = out['svd']['Vt'] # (B, N, D, D)
|
| 90 |
+
B_img, N, _ = S.shape
|
| 91 |
+
|
| 92 |
+
# Per-patch recon error
|
| 93 |
+
inp_p, _, _ = extract_patches(images_gpu, ps)
|
| 94 |
+
rec_p, _, _ = extract_patches(recon, ps)
|
| 95 |
+
patch_mse = (inp_p - rec_p).pow(2).mean(dim=-1) # (B, N)
|
| 96 |
+
|
| 97 |
+
# Gram matrices for conduit
|
| 98 |
+
S2 = S.pow(2)
|
| 99 |
+
G = torch.einsum('bnij,bnj,bnjk->bnik',
|
| 100 |
+
Vt.transpose(-2, -1), S2, Vt)
|
| 101 |
+
G_flat = G.reshape(B_img * N, D, D)
|
| 102 |
+
packet = conduit(G_flat)
|
| 103 |
+
|
| 104 |
+
# Reshape to spatial
|
| 105 |
+
all_S.append(S.reshape(B_img, gh, gw, D).cpu())
|
| 106 |
+
all_fric.append(packet.friction.reshape(B_img, gh, gw, D).cpu())
|
| 107 |
+
all_settle.append(packet.settle.reshape(B_img, gh, gw, D).cpu())
|
| 108 |
+
all_error.append(patch_mse.reshape(B_img, gh, gw, 1).cpu())
|
| 109 |
+
all_labels.append(labels)
|
| 110 |
+
|
| 111 |
+
return {
|
| 112 |
+
'S': torch.cat(all_S), # (N, gh, gw, 4)
|
| 113 |
+
'friction': torch.cat(all_fric), # (N, gh, gw, 4)
|
| 114 |
+
'settle': torch.cat(all_settle), # (N, gh, gw, 4)
|
| 115 |
+
'error': torch.cat(all_error), # (N, gh, gw, 1)
|
| 116 |
+
'labels': torch.cat(all_labels), # (N,)
|
| 117 |
+
}
|
| 118 |
+
|
| 119 |
+
print("\nPrecomputing train set...")
|
| 120 |
+
train_data = extract_conduit_maps(train_loader, "Train")
|
| 121 |
+
print(f" Train: {len(train_data['labels'])} images")
|
| 122 |
+
|
| 123 |
+
print("Precomputing test set...")
|
| 124 |
+
test_data = extract_conduit_maps(test_loader, "Test")
|
| 125 |
+
print(f" Test: {len(test_data['labels'])} images")
|
| 126 |
+
|
| 127 |
+
|
| 128 |
+
# βββββββββββββββββββββοΏ½οΏ½βββββββββββββββββββββββββββββββββββββββββ
|
| 129 |
+
# CONV CLASSIFIER β reads spatial maps directly
|
| 130 |
+
# βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 131 |
+
|
| 132 |
+
class SpatialConvClassifier(nn.Module):
|
| 133 |
+
"""Conv readout on 16Γ16 spatial maps. No pooling until final adaptive."""
|
| 134 |
+
|
| 135 |
+
def __init__(self, in_channels, n_classes=10):
|
| 136 |
+
super().__init__()
|
| 137 |
+
self.conv = nn.Sequential(
|
| 138 |
+
nn.Conv2d(in_channels, 64, 3, stride=2, padding=1), # 16β8
|
| 139 |
+
nn.GELU(),
|
| 140 |
+
nn.Conv2d(64, 128, 3, stride=2, padding=1), # 8β4
|
| 141 |
+
nn.GELU(),
|
| 142 |
+
nn.Conv2d(128, 128, 3, stride=1, padding=1), # 4β4
|
| 143 |
+
nn.GELU(),
|
| 144 |
+
nn.AdaptiveAvgPool2d(1), # 4β1
|
| 145 |
+
)
|
| 146 |
+
self.head = nn.Sequential(
|
| 147 |
+
nn.Linear(128, 64),
|
| 148 |
+
nn.GELU(),
|
| 149 |
+
nn.Linear(64, n_classes),
|
| 150 |
+
)
|
| 151 |
+
|
| 152 |
+
def forward(self, x):
|
| 153 |
+
# x: (B, C, H, W)
|
| 154 |
+
h = self.conv(x).squeeze(-1).squeeze(-1)
|
| 155 |
+
return self.head(h)
|
| 156 |
+
|
| 157 |
+
|
| 158 |
+
class ConduitDataset(torch.utils.data.Dataset):
|
| 159 |
+
"""Serves selected channels from precomputed conduit maps."""
|
| 160 |
+
|
| 161 |
+
def __init__(self, data, channels='S', augment=False):
|
| 162 |
+
self.labels = data['labels']
|
| 163 |
+
self.augment = augment
|
| 164 |
+
|
| 165 |
+
# Build channel tensor: (N, C, gh, gw)
|
| 166 |
+
parts = []
|
| 167 |
+
if 'S' in channels:
|
| 168 |
+
parts.append(data['S'].permute(0, 3, 1, 2)) # (N, 4, gh, gw)
|
| 169 |
+
if 'F' in channels:
|
| 170 |
+
parts.append(data['friction'].permute(0, 3, 1, 2)) # (N, 4, gh, gw)
|
| 171 |
+
if 'T' in channels:
|
| 172 |
+
parts.append(data['settle'].permute(0, 3, 1, 2)) # (N, 4, gh, gw)
|
| 173 |
+
if 'E' in channels:
|
| 174 |
+
parts.append(data['error'].permute(0, 3, 1, 2)) # (N, 1, gh, gw)
|
| 175 |
+
|
| 176 |
+
self.maps = torch.cat(parts, dim=1) # (N, total_C, gh, gw)
|
| 177 |
+
self.n_channels = self.maps.shape[1]
|
| 178 |
+
|
| 179 |
+
def __len__(self):
|
| 180 |
+
return len(self.labels)
|
| 181 |
+
|
| 182 |
+
def __getitem__(self, idx):
|
| 183 |
+
x = self.maps[idx]
|
| 184 |
+
label = self.labels[idx]
|
| 185 |
+
|
| 186 |
+
if self.augment:
|
| 187 |
+
if torch.rand(1).item() > 0.5:
|
| 188 |
+
x = x.flip(-1) # horizontal flip
|
| 189 |
+
|
| 190 |
+
return x, label
|
| 191 |
+
|
| 192 |
+
|
| 193 |
+
# βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 194 |
+
# TRAINING LOOP
|
| 195 |
+
# βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 196 |
+
|
| 197 |
+
def train_and_eval(channels, name, epochs=30, batch_size=128, lr=3e-4):
|
| 198 |
+
"""Train conv classifier on specified conduit channels."""
|
| 199 |
+
|
| 200 |
+
train_ds = ConduitDataset(train_data, channels, augment=True)
|
| 201 |
+
test_ds = ConduitDataset(test_data, channels, augment=False)
|
| 202 |
+
n_ch = train_ds.n_channels
|
| 203 |
+
|
| 204 |
+
tr_loader = torch.utils.data.DataLoader(
|
| 205 |
+
train_ds, batch_size=batch_size, shuffle=True,
|
| 206 |
+
num_workers=4, pin_memory=True, drop_last=True)
|
| 207 |
+
te_loader = torch.utils.data.DataLoader(
|
| 208 |
+
test_ds, batch_size=batch_size, shuffle=False,
|
| 209 |
+
num_workers=4, pin_memory=True)
|
| 210 |
+
|
| 211 |
+
model = SpatialConvClassifier(n_ch, 10).to(device)
|
| 212 |
+
n_params = sum(p.numel() for p in model.parameters())
|
| 213 |
+
opt = torch.optim.Adam(model.parameters(), lr=lr)
|
| 214 |
+
sched = torch.optim.lr_scheduler.CosineAnnealingLR(opt, T_max=epochs)
|
| 215 |
+
|
| 216 |
+
best_acc = 0
|
| 217 |
+
t0 = time.time()
|
| 218 |
+
|
| 219 |
+
for epoch in range(1, epochs + 1):
|
| 220 |
+
model.train()
|
| 221 |
+
correct, total = 0, 0
|
| 222 |
+
for x, y in tr_loader:
|
| 223 |
+
x, y = x.to(device), y.to(device)
|
| 224 |
+
logits = model(x)
|
| 225 |
+
loss = F.cross_entropy(logits, y)
|
| 226 |
+
opt.zero_grad()
|
| 227 |
+
loss.backward()
|
| 228 |
+
opt.step()
|
| 229 |
+
correct += (logits.argmax(-1) == y).sum().item()
|
| 230 |
+
total += len(y)
|
| 231 |
+
sched.step()
|
| 232 |
+
train_acc = correct / total
|
| 233 |
+
|
| 234 |
+
# Test
|
| 235 |
+
model.eval()
|
| 236 |
+
tc, tt = 0, 0
|
| 237 |
+
pcc = torch.zeros(10)
|
| 238 |
+
pct = torch.zeros(10)
|
| 239 |
+
with torch.no_grad():
|
| 240 |
+
for x, y in te_loader:
|
| 241 |
+
x, y = x.to(device), y.to(device)
|
| 242 |
+
preds = model(x).argmax(-1)
|
| 243 |
+
tc += (preds == y).sum().item()
|
| 244 |
+
tt += len(y)
|
| 245 |
+
for c in range(10):
|
| 246 |
+
m = y == c
|
| 247 |
+
pcc[c] += (preds[m] == y[m]).sum().item()
|
| 248 |
+
pct[c] += m.sum().item()
|
| 249 |
+
|
| 250 |
+
test_acc = tc / tt
|
| 251 |
+
if test_acc > best_acc:
|
| 252 |
+
best_acc = test_acc
|
| 253 |
+
|
| 254 |
+
if epoch % 5 == 0 or epoch == epochs:
|
| 255 |
+
print(f" ep{epoch:3d} train={train_acc:.1%} test={test_acc:.1%}")
|
| 256 |
+
|
| 257 |
+
elapsed = time.time() - t0
|
| 258 |
+
pca = pcc / (pct + 1e-8)
|
| 259 |
+
|
| 260 |
+
print(f"\n {name}")
|
| 261 |
+
print(f" Channels: {n_ch}, Params: {n_params:,}, Time: {elapsed:.0f}s")
|
| 262 |
+
print(f" Best test: {best_acc:.1%}")
|
| 263 |
+
print(f"\n {'Class':<10s} {'Acc':>6s}")
|
| 264 |
+
print(f" {'-' * 22}")
|
| 265 |
+
for c in range(10):
|
| 266 |
+
bar = 'β' * int(pca[c] * 20)
|
| 267 |
+
print(f" {CLASSES[c]:<10s} {pca[c]:5.1%} {bar}")
|
| 268 |
+
print()
|
| 269 |
+
|
| 270 |
+
return best_acc, n_params
|
| 271 |
+
|
| 272 |
+
|
| 273 |
+
# βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 274 |
+
# RUN ALL CONFIGURATIONS
|
| 275 |
+
# βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 276 |
+
|
| 277 |
+
print("\n" + "=" * 70)
|
| 278 |
+
print(" SPATIAL CONV READOUT β All conduit configurations")
|
| 279 |
+
print("=" * 70)
|
| 280 |
+
|
| 281 |
+
results = {}
|
| 282 |
+
|
| 283 |
+
configs = [
|
| 284 |
+
('S', "Eigenvalues (S) only β 4ch"),
|
| 285 |
+
('F', "Friction only β 4ch"),
|
| 286 |
+
('E', "Release error only β 1ch"),
|
| 287 |
+
('T', "Settle only β 4ch"),
|
| 288 |
+
('SF', "S + Friction β 8ch"),
|
| 289 |
+
('SE', "S + Release error β 5ch"),
|
| 290 |
+
('SFE', "S + Friction + Release β 9ch"),
|
| 291 |
+
('SFET', "FULL CONDUIT β 13ch"),
|
| 292 |
+
]
|
| 293 |
+
|
| 294 |
+
for channels, name in configs:
|
| 295 |
+
print(f"\n{'β' * 70}")
|
| 296 |
+
print(f" Training: {name}")
|
| 297 |
+
print(f"{'β' * 70}")
|
| 298 |
+
acc, params = train_and_eval(channels, name)
|
| 299 |
+
results[channels] = (acc, params, name)
|
| 300 |
+
|
| 301 |
+
|
| 302 |
+
# βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 303 |
+
# SCOREBOARD
|
| 304 |
+
# βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 305 |
+
|
| 306 |
+
print(f"\n{'=' * 70}")
|
| 307 |
+
print(" SCOREBOARD β Spatial Conv Readout")
|
| 308 |
+
print("=" * 70)
|
| 309 |
+
|
| 310 |
+
print(f"\n {'Configuration':<35s} {'Channels':>8s} {'Params':>10s} {'Test Acc':>9s}")
|
| 311 |
+
print(f" {'-' * 65}")
|
| 312 |
+
print(f" {'Chance':<35s} {'β':>8s} {'β':>10s} {'10.0%':>9s}")
|
| 313 |
+
|
| 314 |
+
for channels, (acc, params, name) in sorted(results.items(), key=lambda x: x[1][0]):
|
| 315 |
+
print(f" {name:<35s} {channels:>8s} {params:>10,d} {acc:>8.1%}")
|
| 316 |
+
|
| 317 |
+
# Reference results from earlier experiments
|
| 318 |
+
print(f"\n {'--- REFERENCE (from earlier) ---':<35s}")
|
| 319 |
+
print(f" {'Linear probe (friction flat)':<35s} {'β':>8s} {'β':>10s} {'24.3%':>9s}")
|
| 320 |
+
print(f" {'Linear probe (S flat)':<35s} {'β':>8s} {'β':>10s} {'21.0%':>9s}")
|
| 321 |
+
print(f" {'Patchwork + calibrated embeds':<35s} {'β':>8s} {'530K':>10s} {'48.0%':>9s}")
|
| 322 |
+
print(f" {'Scatter + conv (raw S)':<35s} {'β':>8s} {'2.9M':>10s} {'70.5%':>9s}")
|
| 323 |
+
print(f" {'CNN condensed (SGD)':<35s} {'β':>8s} {'730K':>10s} {'74.7%':>9s}")
|
| 324 |
+
|
| 325 |
+
# Lift analysis
|
| 326 |
+
s_acc = results.get('S', (0, 0, ''))[0]
|
| 327 |
+
best_channels, (best_acc, _, best_name) = max(results.items(), key=lambda x: x[1][0])
|
| 328 |
+
print(f"\n S-only conv: {s_acc:.1%}")
|
| 329 |
+
print(f" Best conduit: {best_acc:.1%} ({best_name})")
|
| 330 |
+
print(f" Conduit lift: {(best_acc - s_acc) * 100:+.1f}pp")
|
| 331 |
+
print(f" vs scatter+conv reference: {(best_acc - 0.705) * 100:+.1f}pp")
|