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"""
Snapshot evolution on a NO-out_ln variant of the standard ResidualMLP.
Same architecture as ResidualMLP but with the terminal LayerNorm removed
(head reads h_L directly). Trains BP and DFA from scratch on CIFAR-10 and
logs ||h_l||_2 + ||BP grad||_2 per epoch.
This is the architectural causal control for P4: if removing out_ln from the
SAME architecture rescues the residual-stream pathology, then out_ln is
causally responsible (not just correlated).
Usage:
CUDA_VISIBLE_DEVICES=2 nohup python experiments/snapshot_evolution_no_outln.py \
--output_dir results/snapshot_no_outln_v1 --epochs 100 --seed 42 \
> results/snapshot_no_outln_v1/run_s42.log 2>&1 &
"""
import os, sys, json, argparse
import numpy as np
import torch
import torch.nn as nn
import torch.nn.functional as F
import torch.optim as optim
from torch.utils.data import DataLoader
import torchvision
import torchvision.transforms as transforms
sys.path.insert(0, os.path.dirname(os.path.dirname(os.path.abspath(__file__))))
from metrics.credit_metrics import cosine_similarity_batch
class ResidualBlockPreLN(nn.Module):
"""Same as models/residual_mlp.ResidualBlock — pre-LN MLP block."""
def __init__(self, d_hidden: int):
super().__init__()
self.ln = nn.LayerNorm(d_hidden)
self.w1 = nn.Linear(d_hidden, d_hidden)
self.w2 = nn.Linear(d_hidden, d_hidden)
nn.init.normal_(self.w2.weight, std=0.01)
nn.init.zeros_(self.w2.bias)
def forward(self, h):
z = self.ln(h)
z = self.w1(z)
z = F.gelu(z)
z = self.w2(z)
return z
class ResidualMLP_NoOutLN(nn.Module):
"""Like ResidualMLP, but WITHOUT out_ln. Head reads h_L directly."""
def __init__(self, input_dim, d_hidden, num_classes, num_blocks):
super().__init__()
self.embed = nn.Linear(input_dim, d_hidden)
self.blocks = nn.ModuleList([ResidualBlockPreLN(d_hidden) for _ in range(num_blocks)])
# NO out_ln
self.out_head = nn.Linear(d_hidden, num_classes)
self.num_blocks = num_blocks
self.d_hidden = d_hidden
def forward(self, x, return_hidden=False):
h = self.embed(x)
hiddens = [h] if return_hidden else None
for block in self.blocks:
f = block(h)
h = h + f
if return_hidden:
hiddens.append(h)
logits = self.out_head(h) # NO out_ln
if return_hidden:
return logits, hiddens
return logits
def get_cifar10(batch_size=128):
tv_train = transforms.Compose([
transforms.RandomCrop(32, padding=4),
transforms.RandomHorizontalFlip(),
transforms.ToTensor(),
transforms.Normalize((0.4914, 0.4822, 0.4465), (0.2470, 0.2435, 0.2616)),
])
tv = transforms.Compose([
transforms.ToTensor(),
transforms.Normalize((0.4914, 0.4822, 0.4465), (0.2470, 0.2435, 0.2616)),
])
tr = torchvision.datasets.CIFAR10('./data', True, download=True, transform=tv_train)
te = torchvision.datasets.CIFAR10('./data', False, download=True, transform=tv)
return (DataLoader(tr, batch_size=batch_size, shuffle=True, num_workers=2),
DataLoader(te, batch_size=batch_size, shuffle=False, num_workers=2))
def fixed_eval_buffer(test_loader, device, n_samples=1024):
xs, ys = [], []
for x, y in test_loader:
xs.append(x.view(x.size(0), -1)); ys.append(y)
if sum(xb.size(0) for xb in xs) >= n_samples:
break
return torch.cat(xs)[:n_samples].to(device), torch.cat(ys)[:n_samples].to(device)
def diagnose(model, x_eval, y_eval, dfa_Bs=None):
was_training = model.training
model.eval()
L = model.num_blocks
with torch.no_grad():
_, hi = model(x_eval, return_hidden=True)
hidden_norms = [h.norm(dim=-1).median().item() for h in hi]
h0 = model.embed(x_eval.detach())
hs = [h0.clone().requires_grad_(True)]
for b in model.blocks:
hs.append(hs[-1] + b(hs[-1]))
logits = model.out_head(hs[-1]) # NO out_ln
loss = F.cross_entropy(logits, y_eval)
grads = torch.autograd.grad(loss, hs)
bp_l2 = [g.norm(dim=-1).median().item() for g in grads]
bp_full = [g.detach() for g in grads]
acc = (logits.argmax(-1) == y_eval).float().mean().item()
loss_val = loss.item()
gamma_dfa = float('nan'); per_layer_gamma = []
if dfa_Bs is not None:
with torch.no_grad():
e_T = logits.softmax(-1); e_T[torch.arange(x_eval.size(0)), y_eval] -= 1
for l in range(L):
a_dfa = (e_T @ dfa_Bs[l].T).detach()
per_layer_gamma.append(cosine_similarity_batch(a_dfa, bp_full[l]))
gamma_dfa = float(np.mean(per_layer_gamma))
if was_training: model.train()
return {
'hidden_norms': hidden_norms,
'bp_grad_per_sample_l2_med': bp_l2,
'gamma_dfa': gamma_dfa,
'gamma_dfa_per_layer': per_layer_gamma,
'acc_eval': acc, 'loss_eval': loss_val,
}
def train_bp(model, train_loader, x_eval, y_eval, device, epochs, lr, wd):
opt = optim.AdamW(model.parameters(), lr=lr, weight_decay=wd)
sch = optim.lr_scheduler.CosineAnnealingLR(opt, T_max=epochs)
log = []
d0 = diagnose(model, x_eval, y_eval); d0['epoch'] = 0; log.append(d0)
print(f" [BP-noLN] Ep 0: ||h_L||={d0['hidden_norms'][-1]:.3e} ||g||={d0['bp_grad_per_sample_l2_med'][2]:.3e} acc={d0['acc_eval']:.4f}", flush=True)
for ep in range(1, epochs + 1):
model.train()
for x, y in train_loader:
x = x.view(x.size(0), -1).to(device); y = y.to(device)
logits = model(x); loss = F.cross_entropy(logits, y)
opt.zero_grad(); loss.backward(); opt.step()
sch.step()
d = diagnose(model, x_eval, y_eval); d['epoch'] = ep; log.append(d)
if ep % 5 == 0 or ep == 1 or ep == epochs:
print(f" [BP-noLN] Ep {ep}: ||h_L||={d['hidden_norms'][-1]:.3e} ||g||={d['bp_grad_per_sample_l2_med'][2]:.3e} acc={d['acc_eval']:.4f}", flush=True)
return log
def train_dfa(model, train_loader, x_eval, y_eval, device, epochs, lr, wd):
d_hidden = model.d_hidden; L = model.num_blocks; C = 10
Bs = [torch.randn(d_hidden, C, device=device) / np.sqrt(C) for _ in range(L)]
block_opts = [optim.AdamW(b.parameters(), lr=lr, weight_decay=wd) for b in model.blocks]
embed_opt = optim.AdamW(model.embed.parameters(), lr=lr, weight_decay=wd)
head_opt = optim.AdamW(model.out_head.parameters(), lr=lr, weight_decay=wd)
all_sch = [optim.lr_scheduler.CosineAnnealingLR(o, T_max=epochs) for o in block_opts] + \
[optim.lr_scheduler.CosineAnnealingLR(embed_opt, T_max=epochs),
optim.lr_scheduler.CosineAnnealingLR(head_opt, T_max=epochs)]
log = []
d0 = diagnose(model, x_eval, y_eval, dfa_Bs=Bs); d0['epoch'] = 0; log.append(d0)
print(f" [DFA-noLN] Ep 0: ||h_L||={d0['hidden_norms'][-1]:.3e} ||g||={d0['bp_grad_per_sample_l2_med'][2]:.3e} acc={d0['acc_eval']:.4f}", flush=True)
for ep in range(1, epochs + 1):
model.train()
for x, y in train_loader:
x = x.view(x.size(0), -1).to(device); y = y.to(device)
batch = x.size(0)
with torch.no_grad():
logits, hiddens = model(x, return_hidden=True)
e_T = logits.softmax(-1); e_T[torch.arange(batch), y] -= 1
hL_det = hiddens[-1].detach()
# Head update — NO out_ln
logits_out = model.out_head(hL_det)
loss_out = F.cross_entropy(logits_out, y)
head_opt.zero_grad(); loss_out.backward(); head_opt.step()
# Block updates
for l in range(L):
h_l = hiddens[l].detach()
a_dfa = (e_T @ Bs[l].T).detach()
rms = (a_dfa ** 2).mean(dim=-1, keepdim=True).sqrt() + 1e-6
a_norm = a_dfa / rms
f_l = model.blocks[l](h_l)
local_loss = (f_l * a_norm).sum(dim=-1).mean()
block_opts[l].zero_grad(); local_loss.backward()
torch.nn.utils.clip_grad_norm_(model.blocks[l].parameters(), 1.0)
block_opts[l].step()
# Embed update
a_0 = (e_T @ Bs[0].T).detach()
rms_0 = (a_0 ** 2).mean(dim=-1, keepdim=True).sqrt() + 1e-6
h0 = model.embed(x)
embed_loss = (h0 * (a_0 / rms_0)).sum(dim=-1).mean()
embed_opt.zero_grad(); embed_loss.backward(); embed_opt.step()
for s in all_sch: s.step()
d = diagnose(model, x_eval, y_eval, dfa_Bs=Bs); d['epoch'] = ep; log.append(d)
if ep % 5 == 0 or ep == 1 or ep == epochs:
print(f" [DFA-noLN] Ep {ep}: ||h_L||={d['hidden_norms'][-1]:.3e} ||g||={d['bp_grad_per_sample_l2_med'][2]:.3e} acc={d['acc_eval']:.4f} γ={d['gamma_dfa']:.4f}", flush=True)
return log
def main():
p = argparse.ArgumentParser()
p.add_argument('--output_dir', type=str, default='results/snapshot_no_outln_v1')
p.add_argument('--epochs', type=int, default=100)
p.add_argument('--lr', type=float, default=1e-3)
p.add_argument('--wd', type=float, default=0.01)
p.add_argument('--seed', type=int, default=42)
p.add_argument('--depth', type=int, default=4)
p.add_argument('--d_hidden', type=int, default=256)
args = p.parse_args()
os.makedirs(args.output_dir, exist_ok=True)
device = torch.device('cuda:0')
print(f"NO-OUT_LN VARIANT: depth={args.depth}, d_hidden={args.d_hidden}, "
f"epochs={args.epochs}, seed={args.seed}", flush=True)
train_loader, test_loader = get_cifar10(batch_size=128)
x_eval, y_eval = fixed_eval_buffer(test_loader, device, n_samples=1024)
L, d, C = args.depth, args.d_hidden, 10
print("\n=== BP training (NO out_ln) ===", flush=True)
torch.manual_seed(args.seed); np.random.seed(args.seed); torch.cuda.manual_seed_all(args.seed)
bp_model = ResidualMLP_NoOutLN(3072, d, C, L).to(device)
bp_log = train_bp(bp_model, train_loader, x_eval, y_eval, device, args.epochs, args.lr, args.wd)
print("\n=== DFA training (NO out_ln) ===", flush=True)
torch.manual_seed(args.seed); np.random.seed(args.seed); torch.cuda.manual_seed_all(args.seed)
dfa_model = ResidualMLP_NoOutLN(3072, d, C, L).to(device)
dfa_log = train_dfa(dfa_model, train_loader, x_eval, y_eval, device, args.epochs, args.lr, args.wd)
out = {
'config': vars(args), 'depth': L, 'd_hidden': d, 'num_classes': C,
'architecture': 'ResidualMLP_NoOutLN',
'bp_log': bp_log, 'dfa_log': dfa_log,
}
out_path = os.path.join(args.output_dir, f'snapshot_noLN_s{args.seed}.json')
with open(out_path, 'w') as f:
json.dump(out, f, indent=2)
print(f"\nSaved {out_path}", flush=True)
if __name__ == '__main__':
main()
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