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Create mlp_ablation.py
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# Run cell 1 and cell 2, shape factory and model then run this to continue.
# ablation showed random chance without the full geometric architecture.
# =============================================================================
# CELL 5: Architecture Ablation — MLP Baseline with Same Loss
# Requires: Cell 1 + Cell 2 already executed (constants, generator, deform_grid)
# Question: Is the loss creating the behavior, or the architecture?
#
# Same composite loss, same data, same hyperparams.
# Plain MLP replaces: tracer attention, capacity cascade,
# differentiation gate, curvature head, rectified flow arbiter.
# =============================================================================
import math, time, numpy as np
import torch
import torch.nn as nn
import torch.nn.functional as F
from pathlib import Path
device = torch.device("cuda" if torch.cuda.is_available() else "cpu")
if device.type == "cuda":
torch.backends.cuda.matmul.allow_tf32 = True
torch.backends.cudnn.allow_tf32 = True
torch.backends.cudnn.benchmark = True
use_amp = device.type == "cuda"
amp_dtype = (torch.bfloat16 if (device.type == "cuda" and
torch.cuda.is_bf16_supported()) else torch.float16)
# =============================================================================
# MLP Baseline — same output contract as GeometricShapeClassifier
# =============================================================================
class MLPBaseline(nn.Module):
"""Plain MLP producing the same output dict as GeometricShapeClassifier.
No geometric inductive bias. Same loss surface."""
def __init__(self, grid_size=GS, n_classes=NUM_CLASSES,
n_curvatures=NUM_CURVATURES, trunk_dim=256):
super().__init__()
inp = grid_size ** 3 # 125
self.trunk = nn.Sequential(
nn.Linear(inp, 512), nn.GELU(),
nn.Linear(512, 512), nn.GELU(),
nn.Linear(512, trunk_dim), nn.GELU(),
nn.Linear(trunk_dim, trunk_dim), nn.GELU(),
)
# Primary classifier
self.classifier = nn.Sequential(
nn.Linear(trunk_dim, 128), nn.GELU(), nn.Dropout(0.1),
nn.Linear(128, n_classes))
# Capacity analog: fill ratios (4 dims, sigmoid)
self.fill_head = nn.Sequential(
nn.Linear(trunk_dim, 64), nn.GELU(),
nn.Linear(64, 4), nn.Sigmoid())
# Learned capacities for diversity loss
self.cap_head = nn.Sequential(
nn.Linear(trunk_dim, 32), nn.GELU(),
nn.Linear(32, 4), nn.Softplus())
# Peak dimension (4-class)
self.peak_head = nn.Sequential(
nn.Linear(trunk_dim, 32), nn.GELU(), nn.Linear(32, 4))
# Overflow (4 dims, sigmoid)
self.overflow_head = nn.Sequential(
nn.Linear(trunk_dim, 32), nn.GELU(),
nn.Linear(32, 4), nn.Sigmoid())
# Volume regression
self.volume_head = nn.Sequential(
nn.Linear(trunk_dim, 64), nn.GELU(), nn.Linear(64, 1))
# Cayley-Menger determinant sign
self.cm_head = nn.Sequential(
nn.Linear(trunk_dim, 64), nn.GELU(),
nn.Linear(64, 1), nn.Tanh())
# Curvature binary
self.curved_head = nn.Sequential(
nn.Linear(trunk_dim, 32), nn.GELU(),
nn.Linear(32, 1), nn.Sigmoid())
# Curvature type (8-class)
self.curv_type_head = nn.Sequential(
nn.Linear(trunk_dim, 64), nn.GELU(),
nn.Linear(64, n_curvatures))
# Second classifier (arbiter analog)
self.refiner = nn.Sequential(
nn.Linear(trunk_dim, 128), nn.GELU(), nn.Dropout(0.1),
nn.Linear(128, n_classes))
# Confidence and blend
self.confidence_head = nn.Sequential(
nn.Linear(trunk_dim, 32), nn.GELU(),
nn.Linear(32, 1), nn.Sigmoid())
self.blend_head = nn.Sequential(
nn.Linear(trunk_dim, 32), nn.GELU(),
nn.Linear(32, 1), nn.Sigmoid())
def forward(self, grid, labels=None):
B = grid.shape[0]
x = grid.reshape(B, -1).float()
feat = self.trunk(x)
initial_logits = self.classifier(feat)
refined_logits = self.refiner(feat)
blend = self.blend_head(feat).squeeze(-1)
class_logits = (blend.unsqueeze(-1) * initial_logits +
(1 - blend.unsqueeze(-1)) * refined_logits)
conf = self.confidence_head(feat).squeeze(-1)
return {
"class_logits": class_logits,
"initial_logits": initial_logits,
"refined_logits": refined_logits,
"fill_ratios": self.fill_head(feat),
"peak_logits": self.peak_head(feat),
"overflows": self.overflow_head(feat),
"capacities": self.cap_head(feat),
"volume_pred": self.volume_head(feat).squeeze(-1),
"cm_pred": self.cm_head(feat).squeeze(-1),
"is_curved_pred": self.curved_head(feat),
"curv_type_logits": self.curv_type_head(feat),
"trajectory_logits": [refined_logits],
"flow_loss": torch.tensor(0.0, device=grid.device),
"refined_confidence": self.confidence_head(feat),
"blend_weight": blend,
"confidence": conf,
"alternation": torch.zeros(B, device=grid.device),
"features": feat,
}
# =============================================================================
# Loss Functions (identical to Cell 3)
# =============================================================================
def _safe_bce(inp, tgt):
with torch.amp.autocast('cuda', enabled=False):
return F.binary_cross_entropy(inp.float(), tgt.float())
def capacity_fill_loss(fr, dt): return _safe_bce(fr, dt)
def overflow_reg(on, dt):
pk = dt.sum(dim=-1).long() - 1
loss = sum(on[b, pk[b].item():].sum() for b in range(on.shape[0]))
return loss / (on.shape[0] + 1e-8)
def cap_diversity(c): return -c.var()
def peak_loss(l, t): return F.cross_entropy(l, t)
def cm_loss(p, t): return F.mse_loss(p, torch.sign(t))
def curved_bce(p, t): return _safe_bce(p.squeeze(-1), t)
def ctype_loss(l, t): return F.cross_entropy(l, t)
# =============================================================================
# Data — load cached or generate + cache
# =============================================================================
DATASET_PATH = Path("./cached_dataset.pt")
N_SAMPLES = 500000
SEED = 42
if DATASET_PATH.exists():
print(f"Loading cached dataset from {DATASET_PATH}...")
t0 = time.time()
_cached = torch.load(DATASET_PATH, weights_only=True)
if _cached["n_samples"] == N_SAMPLES and _cached["seed"] == SEED:
train_ds = ShapeDataset.__new__(ShapeDataset)
val_ds = ShapeDataset.__new__(ShapeDataset)
for k in ["grids", "labels", "dim_conf", "peak_dim", "volume",
"cm_det", "is_curved", "curvature"]:
setattr(train_ds, k, _cached["train"][k])
setattr(val_ds, k, _cached["val"][k])
print(f"Loaded {len(train_ds)} train + {len(val_ds)} val in {time.time()-t0:.1f}s")
else:
print(f"Cache mismatch — regenerating")
DATASET_PATH.unlink()
if not DATASET_PATH.exists():
print("Generating dataset...")
all_samples = generate_parallel(N_SAMPLES, seed=SEED, n_workers=8)
n_train = int(len(all_samples) * 0.8)
train_ds = ShapeDataset(all_samples[:n_train])
val_ds = ShapeDataset(all_samples[n_train:])
print(f"Caching to {DATASET_PATH}...")
cache_data = {
"n_samples": N_SAMPLES, "seed": SEED,
"train": {k: getattr(train_ds, k) for k in ["grids", "labels", "dim_conf",
"peak_dim", "volume", "cm_det", "is_curved", "curvature"]},
"val": {k: getattr(val_ds, k) for k in ["grids", "labels", "dim_conf",
"peak_dim", "volume", "cm_det", "is_curved", "curvature"]},
}
torch.save(cache_data, DATASET_PATH)
size_mb = DATASET_PATH.stat().st_size / 1e6
print(f"Cached: {size_mb:.0f}MB | {len(train_ds)} train + {len(val_ds)} val")
train_loader = torch.utils.data.DataLoader(
train_ds, batch_size=4096, shuffle=True,
num_workers=4, pin_memory=True, persistent_workers=True)
val_loader = torch.utils.data.DataLoader(
val_ds, batch_size=4096, shuffle=False,
num_workers=4, pin_memory=True, persistent_workers=True)
# =============================================================================
# Train
# =============================================================================
model = MLPBaseline().to(device)
n_params = sum(p.numel() for p in model.parameters())
print(f"MLPBaseline: {n_params:,} params")
print(f"(GeometricShapeClassifier was 1,852,870 params)")
if device.type == "cuda" and hasattr(torch, 'compile'):
try:
model = torch.compile(model, mode="default")
print("torch.compile: enabled")
except Exception as e:
print(f"torch.compile: skipped ({e})")
epochs = 80
lr = 3e-3
optimizer = torch.optim.AdamW(model.parameters(), lr=lr, weight_decay=1e-4)
warmup_epochs = 5
def lr_lambda(ep):
if ep < warmup_epochs: return (ep + 1) / warmup_epochs
return 0.5 * (1 + math.cos(math.pi * (ep - warmup_epochs) / (epochs - warmup_epochs)))
scheduler = torch.optim.lr_scheduler.LambdaLR(optimizer, lr_lambda)
w = {"cls": 1.0, "fill": 0.3, "peak": 0.3, "ovf": 0.05,
"div": 0.02, "vol": 0.1, "cm": 0.1, "curved": 0.2, "ctype": 0.2,
"arb_cls": 0.8, "arb_traj": 0.2, "arb_conf": 0.1, "flow": 0.5}
use_scaler = use_amp and amp_dtype == torch.float16
scaler = torch.amp.GradScaler('cuda', enabled=use_scaler)
print(f"\nAblation: MLPBaseline vs GeometricShapeClassifier")
print(f"Same loss ({len(w)} terms), same data, same schedule")
print(f"{'='*70}")
best_val_acc = 0
t_start = time.time()
for epoch in range(epochs):
t0 = time.time()
model.train()
correct, total = 0, 0
correct_init, correct_ref = 0, 0
for grid, label, dc, pd, vol, cm, ic, ct in train_loader:
grid = grid.to(device, non_blocking=True)
label = label.to(device, non_blocking=True)
dc = dc.to(device, non_blocking=True)
pd = pd.to(device, non_blocking=True)
vol = vol.to(device, non_blocking=True)
cm = cm.to(device, non_blocking=True)
ic = ic.to(device, non_blocking=True)
ct = ct.to(device, non_blocking=True)
grid = deform_grid(grid, p_dropout=0.05, p_add=0.05, p_shift=0.08)
optimizer.zero_grad(set_to_none=True)
with torch.amp.autocast('cuda', enabled=use_amp, dtype=amp_dtype):
out = model(grid, labels=label)
loss_first = (w["cls"] * F.cross_entropy(out["initial_logits"], label) +
w["fill"] * capacity_fill_loss(out["fill_ratios"], dc) +
w["peak"] * peak_loss(out["peak_logits"], pd) +
w["ovf"] * overflow_reg(out["overflows"], dc) +
w["div"] * cap_diversity(out["capacities"]) +
w["vol"] * F.mse_loss(out["volume_pred"], torch.log1p(vol)) +
w["cm"] * cm_loss(out["cm_pred"], cm) +
w["curved"] * curved_bce(out["is_curved_pred"], ic) +
w["ctype"] * ctype_loss(out["curv_type_logits"], ct))
loss_arb = w["arb_cls"] * F.cross_entropy(out["refined_logits"], label)
traj_loss = 0
for step_i, step_logits in enumerate(out["trajectory_logits"]):
step_weight = (step_i + 1) / len(out["trajectory_logits"])
traj_loss += step_weight * F.cross_entropy(step_logits, label)
traj_loss /= len(out["trajectory_logits"])
loss_arb += w["arb_traj"] * traj_loss
loss_arb += w["flow"] * out["flow_loss"]
with torch.no_grad():
is_correct = (out["refined_logits"].argmax(1) == label).float()
loss_arb += w["arb_conf"] * _safe_bce(
out["refined_confidence"].squeeze(-1), is_correct)
with torch.no_grad():
init_correct = (out["initial_logits"].argmax(1) == label).float()
ref_correct = (out["refined_logits"].argmax(1) == label).float()
blend_target = torch.where(init_correct >= ref_correct,
torch.ones_like(init_correct) * 0.8,
torch.ones_like(init_correct) * 0.2)
loss_arb += 0.1 * _safe_bce(out["blend_weight"], blend_target)
loss_blend = w["cls"] * F.cross_entropy(out["class_logits"], label)
loss = loss_first + loss_arb + loss_blend
scaler.scale(loss).backward()
scaler.unscale_(optimizer)
torch.nn.utils.clip_grad_norm_(model.parameters(), 1.0)
scaler.step(optimizer)
scaler.update()
correct += (out["class_logits"].argmax(1) == label).sum().item()
correct_init += (out["initial_logits"].argmax(1) == label).sum().item()
correct_ref += (out["refined_logits"].argmax(1) == label).sum().item()
total += grid.size(0)
scheduler.step()
if epoch == 0 and device.type == "cuda":
peak = torch.cuda.max_memory_allocated() / 1e9
print(f"VRAM peak: {peak:.2f}GB | throughput: {total/(time.time()-t0):.0f} samples/s")
# Validate
model.eval()
vc, vt, vcc, vct = 0, 0, 0, 0
vc_init, vc_ref = 0, 0
with torch.no_grad(), torch.amp.autocast('cuda', enabled=use_amp, dtype=amp_dtype):
for grid, label, dc, pd, vol, cm, ic, ct in val_loader:
grid = grid.to(device, non_blocking=True)
label = label.to(device, non_blocking=True)
ic = ic.to(device, non_blocking=True)
out = model(grid)
vc += (out["class_logits"].argmax(1) == label).sum().item()
vc_init += (out["initial_logits"].argmax(1) == label).sum().item()
vc_ref += (out["refined_logits"].argmax(1) == label).sum().item()
vt += grid.size(0)
vcc += ((out["is_curved_pred"].squeeze(-1) > 0.5).float() == ic).sum().item()
vct += grid.size(0)
val_acc = vc / vt
val_init = vc_init / vt
val_ref = vc_ref / vt
curved_acc = vcc / vct
marker = " *" if val_acc > best_val_acc else ""
if val_acc > best_val_acc:
best_val_acc = val_acc
dt = time.time() - t0
if (epoch + 1) % 10 == 0 or epoch == 0 or marker:
print(f"Ep {epoch+1:3d}/{epochs} [{dt:.1f}s] | "
f"blend {val_acc:.3f} init {val_init:.3f} arb {val_ref:.3f} | "
f"curved {curved_acc:.3f}{marker}")
total_time = time.time() - t_start
print(f"\nDone in {total_time:.0f}s ({total_time/60:.1f}min)")
# =============================================================================
# Per-Class Breakdown
# =============================================================================
print(f"\n{'='*70}")
print(f"Per-Class Results — MLPBaseline")
print(f"{'='*70}")
model.eval()
cc_b = {n: 0 for n in CLASS_NAMES}
cc_i = {n: 0 for n in CLASS_NAMES}
cc_r = {n: 0 for n in CLASS_NAMES}
ct_c = {n: 0 for n in CLASS_NAMES}
with torch.no_grad(), torch.amp.autocast('cuda', enabled=use_amp, dtype=amp_dtype):
for grid, label, *_ in val_loader:
grid = grid.to(device, non_blocking=True)
label = label.to(device, non_blocking=True)
out = model(grid)
pb = out["class_logits"].argmax(1)
pi = out["initial_logits"].argmax(1)
pr = out["refined_logits"].argmax(1)
for k in range(len(label)):
name = CLASS_NAMES[label[k].item()]
cc_b[name] += (pb[k] == label[k]).item()
cc_i[name] += (pi[k] == label[k]).item()
cc_r[name] += (pr[k] == label[k]).item()
ct_c[name] += 1
print(f"\n{'Class':22s} | {'Blend':>5s} {'Init':>5s} {'Arb':>5s} | "
f"{'Corr':>4s}/{'Tot':>4s} | {'Type':8s} Curvature")
print("-" * 85)
for name in CLASS_NAMES:
if ct_c[name] == 0: continue
ab = cc_b[name]/ct_c[name]
ai = cc_i[name]/ct_c[name]
ar = cc_r[name]/ct_c[name]
info = SHAPE_CATALOG[name]
print(f" {name:20s} | {ab:.3f} {ai:.3f} {ar:.3f} | "
f"{cc_b[name]:4d}/{ct_c[name]:4d} | "
f"{'CURVED' if info['curved'] else 'rigid':8s} {info['curvature']}")
# =============================================================================
# Summary Comparison
# =============================================================================
print(f"\n{'='*70}")
print(f"ABLATION SUMMARY")
print(f"{'='*70}")
print(f" MLPBaseline: {n_params:>10,} params | best val acc: {best_val_acc:.4f}")
print(f" GeometricShapeClassifier: 1,852,870 params | best val acc: 0.9022")
print(f" Delta: {n_params - 1852870:>+10,} params | "
f"delta acc: {best_val_acc - 0.9022:+.4f}")
print()
if best_val_acc >= 0.89:
print(" -> Loss is doing most of the work.")
print(" The composite multi-task signal is sufficient to discover")
print(" geometric structure without architectural inductive bias.")
elif best_val_acc >= 0.80:
print(" -> Architecture contributes meaningfully.")
print(" The loss provides signal but the geometric inductive bias")
print(" (capacity cascade, tracers, flow arbiter) adds real value.")
else:
print(" -> Architecture is critical.")
print(" The MLP cannot recover the same behavior from loss alone.")
print(" Geometric inductive bias is doing the heavy lifting.")
print(f"\n Curved detection: {curved_acc:.3f}")
print(f" Training time: {total_time:.0f}s ({total_time/60:.1f}min)")