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"""
Phase B: Deep Residual MLP on CIFAR-10.
Compare BP, DFA, State Bridge, Credit Bridge.
CRITICAL CONSTRAINT: No hidden BP anchor for non-BP methods.
All block updates use detached hidden states and local surrogates.
"""
import os
import sys
import json
import 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
import copy
import time
sys.path.insert(0, os.path.dirname(os.path.dirname(os.path.abspath(__file__))))
from models.residual_mlp import ResidualMLP
from models.value_net import ValueNet, create_ema_model, update_ema
from models.state_bridge import StateBridgeNet
from metrics.credit_metrics import (
cosine_similarity_batch, perturbation_correlation, nudging_test,
offline_bp_cosine, feature_drift
)
def get_data(dataset='cifar10', batch_size=128):
if dataset == 'cifar10':
transform_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)),
])
transform_test = transforms.Compose([
transforms.ToTensor(),
transforms.Normalize((0.4914, 0.4822, 0.4465), (0.2470, 0.2435, 0.2616)),
])
trainset = torchvision.datasets.CIFAR10(root='./data', train=True, download=True, transform=transform_train)
testset = torchvision.datasets.CIFAR10(root='./data', train=False, download=True, transform=transform_test)
input_dim = 32 * 32 * 3
num_classes = 10
elif dataset == 'fashionmnist':
transform_train = transforms.Compose([
transforms.RandomCrop(28, padding=2),
transforms.RandomHorizontalFlip(),
transforms.ToTensor(),
transforms.Normalize((0.2860,), (0.3530,)),
])
transform_test = transforms.Compose([
transforms.ToTensor(),
transforms.Normalize((0.2860,), (0.3530,)),
])
trainset = torchvision.datasets.FashionMNIST(root='./data', train=True, download=True, transform=transform_train)
testset = torchvision.datasets.FashionMNIST(root='./data', train=False, download=True, transform=transform_test)
input_dim = 28 * 28
num_classes = 10
else:
raise ValueError(f"Unknown dataset: {dataset}")
train_loader = DataLoader(trainset, batch_size=batch_size, shuffle=True, num_workers=4, pin_memory=True)
test_loader = DataLoader(testset, batch_size=batch_size, shuffle=False, num_workers=4, pin_memory=True)
return train_loader, test_loader, input_dim, num_classes
def evaluate(model, test_loader, device):
model.eval()
correct, total = 0, 0
with torch.no_grad():
for x, y in test_loader:
x = x.view(x.size(0), -1).to(device)
y = y.to(device)
logits = model(x)
correct += (logits.argmax(1) == y).sum().item()
total += x.size(0)
return correct / total
# =============================================================================
# BP Baseline
# =============================================================================
def train_bp(model, train_loader, test_loader, device, args):
"""Standard end-to-end backprop training."""
optimizer = optim.AdamW(model.parameters(), lr=args.lr, weight_decay=args.wd)
scheduler = optim.lr_scheduler.CosineAnnealingLR(optimizer, T_max=args.epochs)
log = {'train_loss': [], 'train_acc': [], 'test_acc': []}
for epoch in range(1, args.epochs + 1):
model.train()
total_loss, correct, total = 0, 0, 0
for x, y in train_loader:
x = x.view(x.size(0), -1).to(device)
y = y.to(device)
if getattr(args, 'random_targets', False):
y = torch.randint(0, args.num_classes, y.shape, device=device)
logits = model(x)
loss = F.cross_entropy(logits, y)
optimizer.zero_grad()
loss.backward()
optimizer.step()
total_loss += loss.item() * x.size(0)
correct += (logits.argmax(1) == y).sum().item()
total += x.size(0)
scheduler.step()
train_loss = total_loss / total
train_acc = correct / total
test_acc = evaluate(model, test_loader, device)
log['train_loss'].append(train_loss)
log['train_acc'].append(train_acc)
log['test_acc'].append(test_acc)
if epoch % 10 == 0 or epoch == 1:
print(f" [BP] Epoch {epoch}: loss={train_loss:.4f}, train={train_acc:.4f}, test={test_acc:.4f}")
return log
# =============================================================================
# DFA Baseline
# =============================================================================
def train_dfa(model, train_loader, test_loader, device, args):
"""
DFA training with fixed random feedback matrices.
Each block updated with local surrogate: L_l = <F_l(h_l), sg[a_{l+1}^DFA]>.
Output head updated with exact CE gradient (h_L detached).
Embedding updated via DFA credit at h_0.
"""
d = model.d_hidden
num_classes = args.num_classes
L = model.num_blocks
# Fixed random feedback matrices, one per block
Bs = [torch.randn(d, num_classes, device=device) / np.sqrt(num_classes) for _ in range(L)]
# Separate optimizers
block_opts = [optim.AdamW(block.parameters(), lr=args.lr, weight_decay=args.wd)
for block in model.blocks]
embed_opt = optim.AdamW(model.embed.parameters(), lr=args.lr, weight_decay=args.wd)
head_opt = optim.AdamW(
list(model.out_head.parameters()) + list(model.out_ln.parameters()),
lr=args.lr, weight_decay=args.wd
)
all_schedulers = ([optim.lr_scheduler.CosineAnnealingLR(o, T_max=args.epochs) for o in block_opts]
+ [optim.lr_scheduler.CosineAnnealingLR(embed_opt, T_max=args.epochs),
optim.lr_scheduler.CosineAnnealingLR(head_opt, T_max=args.epochs)])
log = {'train_loss': [], 'train_acc': [], 'test_acc': []}
for epoch in range(1, args.epochs + 1):
model.train()
total_loss, correct, total = 0, 0, 0
for x, y in train_loader:
x = x.view(x.size(0), -1).to(device)
y = y.to(device)
if getattr(args, 'random_targets', False):
y = torch.randint(0, args.num_classes, y.shape, device=device)
batch = x.size(0)
# Forward pass (no grad for hidden states)
with torch.no_grad():
logits, hiddens = model(x, return_hidden=True)
loss_val = F.cross_entropy(logits, y)
# e_T = softmax(logits) - one_hot(y)
e_T = logits.softmax(dim=-1)
e_T[torch.arange(batch), y] -= 1 # (batch, num_classes)
# 1. Update output head: exact CE gradient, h_L detached
hL_det = hiddens[-1].detach()
logits_out = model.out_head(model.out_ln(hL_det))
loss_out = F.cross_entropy(logits_out, y)
head_opt.zero_grad()
loss_out.backward()
head_opt.step()
# 2. Update each block with DFA local surrogate
for l in range(L):
h_l = hiddens[l].detach()
# DFA credit: a_{l+1} = B_l @ e_T^T -> (d, batch) -> transpose
a_dfa = (e_T @ Bs[l].T).detach() # (batch, d) = (batch, C) @ (C, d)
# Normalize
rms = (a_dfa ** 2).mean(dim=-1, keepdim=True).sqrt() + 1e-6
a_dfa_norm = a_dfa / rms
# Local surrogate
f_l = model.blocks[l](h_l)
local_loss = (f_l * a_dfa_norm).sum(dim=-1).mean()
if getattr(args, 'penalty_lam', 0.0) > 0.0:
local_loss = local_loss + args.penalty_lam * (f_l ** 2).sum(dim=-1).mean()
block_opts[l].zero_grad()
local_loss.backward()
block_opts[l].step()
# 3. Update embedding with DFA credit at h_0
a_0_dfa = (e_T @ Bs[0].T).detach()
rms_0 = (a_0_dfa ** 2).mean(dim=-1, keepdim=True).sqrt() + 1e-6
a_0_norm = a_0_dfa / rms_0
h0 = model.embed(x)
embed_loss = (h0 * a_0_norm).sum(dim=-1).mean()
embed_opt.zero_grad()
embed_loss.backward()
embed_opt.step()
total_loss += loss_val.item() * batch
correct += (logits.argmax(1) == y).sum().item()
total += batch
for s in all_schedulers:
s.step()
train_loss = total_loss / total
train_acc = correct / total
test_acc = evaluate(model, test_loader, device)
log['train_loss'].append(train_loss)
log['train_acc'].append(train_acc)
log['test_acc'].append(test_acc)
if epoch % 10 == 0 or epoch == 1:
print(f" [DFA] Epoch {epoch}: loss={train_loss:.4f}, train={train_acc:.4f}, test={test_acc:.4f}")
return log, Bs
# =============================================================================
# Vanilla FA (Lillicrap 2016)
# =============================================================================
def train_fa(model, train_loader, test_loader, device, args):
"""
Vanilla Feedback Alignment (Lillicrap et al. 2016).
Unlike DFA (which projects output error directly to each layer via
a_l = B_l^T @ e_T), FA propagates credit sequentially backward through
the block stack using fixed random d×d feedback matrices:
a_L = exact gradient at h_L through out_head + out_ln
a_l = B_l @ a_{l+1} (random d×d replaces block Jacobian transpose)
Each block is updated with the same local loss as DFA: <f_l(h_l), a_l>.
"""
d = model.d_hidden
num_classes = args.num_classes
L = model.num_blocks
# Fixed random feedback matrices: d × d (one per block).
# These replace the transpose of the block Jacobian dF_l/dh_l in the
# backward pass. Contrast with DFA's B_l which are d × num_classes.
Bs = [torch.randn(d, d, device=device) / np.sqrt(d) for _ in range(L)]
# Same optimizer structure as DFA
block_opts = [optim.AdamW(block.parameters(), lr=args.lr, weight_decay=args.wd)
for block in model.blocks]
embed_opt = optim.AdamW(model.embed.parameters(), lr=args.lr, weight_decay=args.wd)
head_opt = optim.AdamW(
list(model.out_head.parameters()) + list(model.out_ln.parameters()),
lr=args.lr, weight_decay=args.wd
)
all_schedulers = ([optim.lr_scheduler.CosineAnnealingLR(o, T_max=args.epochs) for o in block_opts]
+ [optim.lr_scheduler.CosineAnnealingLR(embed_opt, T_max=args.epochs),
optim.lr_scheduler.CosineAnnealingLR(head_opt, T_max=args.epochs)])
log = {'train_loss': [], 'train_acc': [], 'test_acc': []}
for epoch in range(1, args.epochs + 1):
model.train()
total_loss, correct, total = 0, 0, 0
for x, y in train_loader:
x = x.view(x.size(0), -1).to(device)
y = y.to(device)
if getattr(args, 'random_targets', False):
y = torch.randint(0, args.num_classes, y.shape, device=device)
batch = x.size(0)
# Forward pass
with torch.no_grad():
logits, hiddens = model(x, return_hidden=True)
loss_val = F.cross_entropy(logits, y)
# 1. Update output head (exact CE gradient, h_L detached)
hL_det = hiddens[-1].detach().requires_grad_(True)
logits_out = model.out_head(model.out_ln(hL_det))
loss_out = F.cross_entropy(logits_out, y)
head_opt.zero_grad()
loss_out.backward()
head_opt.step()
# Exact gradient at h_L — FA's starting credit signal
a_credit = hL_det.grad.detach() # (batch, d)
# 2. Update each block with FA credit (backward sequential)
for l in range(L - 1, -1, -1):
h_l = hiddens[l].detach()
# Normalize credit
rms = (a_credit ** 2).mean(dim=-1, keepdim=True).sqrt() + 1e-6
a_norm = a_credit / rms
# Local surrogate (same form as DFA)
f_l = model.blocks[l](h_l)
local_loss = (f_l * a_norm).sum(dim=-1).mean()
if getattr(args, 'penalty_lam', 0.0) > 0.0:
local_loss = local_loss + args.penalty_lam * (f_l ** 2).sum(dim=-1).mean()
block_opts[l].zero_grad()
local_loss.backward()
block_opts[l].step()
# Propagate credit backward: FA replaces block Jacobian^T with B_l
a_credit = (a_credit @ Bs[l]).detach()
# 3. Update embedding with FA credit at h_0
rms_0 = (a_credit ** 2).mean(dim=-1, keepdim=True).sqrt() + 1e-6
a_0_norm = a_credit / rms_0
h0 = model.embed(x)
embed_loss = (h0 * a_0_norm).sum(dim=-1).mean()
embed_opt.zero_grad()
embed_loss.backward()
embed_opt.step()
total_loss += loss_val.item() * batch
correct += (logits.argmax(1) == y).sum().item()
total += batch
for s in all_schedulers:
s.step()
train_loss = total_loss / total
train_acc = correct / total
test_acc = evaluate(model, test_loader, device)
log['train_loss'].append(train_loss)
log['train_acc'].append(train_acc)
log['test_acc'].append(test_acc)
if epoch % 10 == 0 or epoch == 1:
print(f" [FA] Epoch {epoch}: loss={train_loss:.4f}, train={train_acc:.4f}, test={test_acc:.4f}")
return log, Bs
# =============================================================================
# State Bridge
# =============================================================================
def train_state_bridge(model, train_loader, test_loader, device, args):
"""
State Bridge: predict terminal h_L from (h_l, t_l, s), derive credit as
a_l = grad_{h_l} CE(W_out * LN(G_psi(h_l, t_l, s)), y).
"""
d = model.d_hidden
num_classes = args.num_classes
L = model.num_blocks
state_pred = StateBridgeNet(
d_hidden=d, s_dim=num_classes, time_embed_dim=32, hidden_dim=256, num_layers=3
).to(device)
block_opts = [optim.AdamW(block.parameters(), lr=args.lr, weight_decay=args.wd)
for block in model.blocks]
embed_opt = optim.AdamW(model.embed.parameters(), lr=args.lr, weight_decay=args.wd)
head_opt = optim.AdamW(
list(model.out_head.parameters()) + list(model.out_ln.parameters()),
lr=args.lr, weight_decay=args.wd
)
state_opt = optim.Adam(state_pred.parameters(), lr=args.lr_fb)
all_schedulers = ([optim.lr_scheduler.CosineAnnealingLR(o, T_max=args.epochs) for o in block_opts]
+ [optim.lr_scheduler.CosineAnnealingLR(embed_opt, T_max=args.epochs),
optim.lr_scheduler.CosineAnnealingLR(head_opt, T_max=args.epochs)])
log = {'train_loss': [], 'train_acc': [], 'test_acc': [], 'state_pred_error': []}
for epoch in range(1, args.epochs + 1):
model.train()
state_pred.train()
total_loss, correct, total = 0, 0, 0
total_se = 0
for x, y in train_loader:
x = x.view(x.size(0), -1).to(device)
y = y.to(device)
if getattr(args, 'random_targets', False):
y = torch.randint(0, args.num_classes, y.shape, device=device)
batch = x.size(0)
with torch.no_grad():
logits, hiddens = model(x, return_hidden=True)
loss_val = F.cross_entropy(logits, y)
e_T = logits.softmax(dim=-1)
e_T[torch.arange(batch), y] -= 1
s = e_T.detach()
hL_det = hiddens[-1].detach()
# Train state predictor: G_psi(h_l, t_l, s) -> h_L
# Predict the *residual* from h_l to h_L for numerical stability
state_loss = 0.0
for l in range(L):
h_l_det = hiddens[l].detach()
t_l = torch.full((batch,), l / L, device=device)
pred_hL = state_pred(h_l_det, t_l, s)
# Target: h_L (use normalized MSE for stability)
target = hL_det
target_norm = target.norm(dim=-1, keepdim=True).clamp(min=1.0)
state_loss = state_loss + (((pred_hL - target) / target_norm) ** 2).sum(dim=-1).mean()
state_loss = state_loss / L
state_opt.zero_grad()
state_loss.backward()
state_opt.step()
total_se += state_loss.item() * batch
# Compute credits: a_l = grad_{h_l} CE(out_head(LN(G(h_l, t_l, s))), y)
credits = []
for l in range(L):
h_l_det = hiddens[l].detach().requires_grad_(True)
t_l = torch.full((batch,), l / L, device=device)
pred_hL = state_pred(h_l_det, t_l, s)
pred_logits = model.out_head(model.out_ln(pred_hL))
pred_loss = F.cross_entropy(pred_logits, y, reduction='sum')
a_l = torch.autograd.grad(pred_loss, h_l_det, create_graph=False)[0]
credits.append(a_l.detach())
# Update output head
logits_out = model.out_head(model.out_ln(hL_det))
loss_out = F.cross_entropy(logits_out, y)
head_opt.zero_grad()
loss_out.backward()
head_opt.step()
# Update blocks
for l in range(L):
h_l = hiddens[l].detach()
a = credits[l]
rms = (a ** 2).mean(dim=-1, keepdim=True).sqrt() + 1e-6
a_norm = a / rms
f_l = model.blocks[l](h_l)
local_loss = (f_l * a_norm).sum(dim=-1).mean()
if getattr(args, 'penalty_lam', 0.0) > 0.0:
local_loss = local_loss + args.penalty_lam * (f_l ** 2).sum(dim=-1).mean()
block_opts[l].zero_grad()
local_loss.backward()
block_opts[l].step()
# Update embedding with credit at layer 0
a_0 = credits[0]
rms_0 = (a_0 ** 2).mean(dim=-1, keepdim=True).sqrt() + 1e-6
a_0_norm = a_0 / rms_0
h0 = model.embed(x)
embed_loss = (h0 * a_0_norm).sum(dim=-1).mean()
embed_opt.zero_grad()
embed_loss.backward()
embed_opt.step()
total_loss += loss_val.item() * batch
correct += (logits.argmax(1) == y).sum().item()
total += batch
for sch in all_schedulers:
sch.step()
train_loss = total_loss / total
train_acc = correct / total
test_acc = evaluate(model, test_loader, device)
se = total_se / total
log['train_loss'].append(train_loss)
log['train_acc'].append(train_acc)
log['test_acc'].append(test_acc)
log['state_pred_error'].append(se)
if epoch % 10 == 0 or epoch == 1:
print(f" [SB] Epoch {epoch}: loss={train_loss:.4f}, train={train_acc:.4f}, "
f"test={test_acc:.4f}, state_err={se:.4f}")
return log, state_pred
# =============================================================================
# Credit Bridge
# =============================================================================
def train_credit_bridge(model, train_loader, test_loader, device, args):
"""
Credit Bridge: learn V_phi(h_l, t_l, s) -> scalar value.
Credit: a_l = grad_{h_l} V_phi.
Training: terminal boundary + bridge consistency + terminal gradient matching.
The terminal gradient is local (output layer only), NOT hidden BP.
Uses a warmup phase: first warmup_epochs, only train value net + output head,
then start using credit bridge signals to update blocks.
During warmup, blocks get DFA-style updates as a fallback.
"""
d = model.d_hidden
num_classes = args.num_classes
L = model.num_blocks
warmup_epochs = max(1, args.epochs // 5) # 20% warmup
value_net = ValueNet(
d_hidden=d, s_dim=num_classes, time_embed_dim=32, hidden_dim=256, num_layers=3
).to(device)
value_net_ema = create_ema_model(value_net)
# DFA fallback matrices for warmup
Bs_fallback = [torch.randn(d, num_classes, device=device) / np.sqrt(num_classes)
for _ in range(L)]
block_opts = [optim.AdamW(block.parameters(), lr=args.lr, weight_decay=args.wd)
for block in model.blocks]
embed_opt = optim.AdamW(model.embed.parameters(), lr=args.lr, weight_decay=args.wd)
head_opt = optim.AdamW(
list(model.out_head.parameters()) + list(model.out_ln.parameters()),
lr=args.lr, weight_decay=args.wd
)
value_opt = optim.Adam(value_net.parameters(), lr=args.lr_fb)
all_schedulers = ([optim.lr_scheduler.CosineAnnealingLR(o, T_max=args.epochs) for o in block_opts]
+ [optim.lr_scheduler.CosineAnnealingLR(embed_opt, T_max=args.epochs),
optim.lr_scheduler.CosineAnnealingLR(head_opt, T_max=args.epochs)])
lam = args.lam
K_samples = args.K
sigma_bridge = args.sigma_bridge
ema_momentum = args.ema_momentum
term_grad_weight = args.term_grad_weight
log = {'train_loss': [], 'train_acc': [], 'test_acc': [], 'value_loss': []}
print(f" [CB] Warmup phase: {warmup_epochs} epochs (DFA fallback + value net training)")
for epoch in range(1, args.epochs + 1):
model.train()
value_net.train()
total_loss, correct, total = 0, 0, 0
total_vloss = 0
# Blend factor: 0 during warmup, linearly increases to 1 after warmup
if epoch <= warmup_epochs:
credit_blend = 0.0
else:
credit_blend = min(1.0, (epoch - warmup_epochs) / max(1, warmup_epochs))
for x, y in train_loader:
x = x.view(x.size(0), -1).to(device)
y = y.to(device)
if getattr(args, 'random_targets', False):
y = torch.randint(0, args.num_classes, y.shape, device=device)
batch = x.size(0)
with torch.no_grad():
logits, hiddens = model(x, return_hidden=True)
loss_val = F.cross_entropy(logits, y)
e_T = logits.softmax(dim=-1)
e_T[torch.arange(batch), y] -= 1
s = e_T.detach()
true_loss = F.cross_entropy(logits, y, reduction='none').detach()
hL_det = hiddens[-1].detach()
# ---- Train value net (always) ----
t_L = torch.ones(batch, device=device)
V_terminal = value_net(hL_det, t_L, s)
loss_term = ((V_terminal - true_loss) ** 2).mean()
# Terminal gradient matching
loss_tgrad = torch.tensor(0.0, device=device)
if term_grad_weight > 0:
hL_req = hL_det.clone().requires_grad_(True)
V_at_L = value_net(hL_req, t_L, s)
grad_V_L = torch.autograd.grad(V_at_L.sum(), hL_req, create_graph=True)[0]
hL_req2 = hL_det.clone().requires_grad_(True)
logits_tgt = model.out_head(model.out_ln(hL_req2))
ce_loss = F.cross_entropy(logits_tgt, y, reduction='sum')
a_L_exact = torch.autograd.grad(ce_loss, hL_req2, create_graph=False)[0].detach()
loss_tgrad = ((grad_V_L - a_L_exact) ** 2).sum(dim=-1).mean()
# Bridge consistency
loss_bridge = 0.0
for l in range(L):
h_l_det = hiddens[l].detach()
t_l = torch.full((batch,), l / L, device=device)
t_l_next = torch.full((batch,), (l + 1) / L, device=device)
V_l = value_net(h_l_det, t_l, s)
with torch.no_grad():
h_next_det = hiddens[l + 1].detach()
log_terms = []
for k in range(K_samples):
noise = sigma_bridge * torch.randn_like(h_next_det)
V_next = value_net_ema(h_next_det + noise, t_l_next, s)
log_terms.append(-V_next / lam)
log_stack = torch.stack(log_terms, dim=-1)
V_target = -lam * (torch.logsumexp(log_stack, dim=-1) - np.log(K_samples))
loss_bridge = loss_bridge + ((V_l - V_target.detach()) ** 2).mean()
loss_bridge = loss_bridge / L
value_loss = loss_term + loss_bridge + term_grad_weight * loss_tgrad
value_opt.zero_grad()
value_loss.backward()
torch.nn.utils.clip_grad_norm_(value_net.parameters(), 1.0)
value_opt.step()
update_ema(value_net, value_net_ema, ema_momentum)
total_vloss += value_loss.item() * batch
# ---- Compute credits ----
# Credit bridge credits
cb_credits = []
for l in range(L):
h_l_det = hiddens[l].detach().requires_grad_(True)
t_l = torch.full((batch,), l / L, device=device)
V_l = value_net(h_l_det, t_l, s)
a_l = torch.autograd.grad(V_l.sum(), h_l_det, create_graph=False)[0]
cb_credits.append(a_l.detach())
# DFA fallback credits
dfa_credits = [(e_T @ Bs_fallback[l].T).detach() for l in range(L)]
# Blend credits
credits = []
for l in range(L):
if credit_blend >= 1.0:
a = cb_credits[l]
elif credit_blend <= 0.0:
a = dfa_credits[l]
else:
# Normalize both before blending
cb_rms = (cb_credits[l] ** 2).mean(dim=-1, keepdim=True).sqrt() + 1e-6
dfa_rms = (dfa_credits[l] ** 2).mean(dim=-1, keepdim=True).sqrt() + 1e-6
a = credit_blend * (cb_credits[l] / cb_rms) + (1 - credit_blend) * (dfa_credits[l] / dfa_rms)
credits.append(a)
# ---- Update output head ----
logits_out = model.out_head(model.out_ln(hL_det))
loss_out = F.cross_entropy(logits_out, y)
head_opt.zero_grad()
loss_out.backward()
head_opt.step()
# ---- Update blocks ----
for l in range(L):
h_l = hiddens[l].detach()
a = credits[l]
rms = (a ** 2).mean(dim=-1, keepdim=True).sqrt() + 1e-6
a_norm = a / rms
f_l = model.blocks[l](h_l)
local_loss = (f_l * a_norm).sum(dim=-1).mean()
if getattr(args, 'penalty_lam', 0.0) > 0.0:
local_loss = local_loss + args.penalty_lam * (f_l ** 2).sum(dim=-1).mean()
block_opts[l].zero_grad()
local_loss.backward()
block_opts[l].step()
# ---- Update embedding ----
a_0 = credits[0]
rms_0 = (a_0 ** 2).mean(dim=-1, keepdim=True).sqrt() + 1e-6
a_0_norm = a_0 / rms_0
h0 = model.embed(x)
embed_loss = (h0 * a_0_norm).sum(dim=-1).mean()
embed_opt.zero_grad()
embed_loss.backward()
embed_opt.step()
total_loss += loss_val.item() * batch
correct += (logits.argmax(1) == y).sum().item()
total += batch
for sch in all_schedulers:
sch.step()
train_loss = total_loss / total
train_acc = correct / total
test_acc = evaluate(model, test_loader, device)
vloss = total_vloss / total
log['train_loss'].append(train_loss)
log['train_acc'].append(train_acc)
log['test_acc'].append(test_acc)
log['value_loss'].append(vloss)
if epoch % 10 == 0 or epoch == 1:
phase = "warmup" if epoch <= warmup_epochs else f"blend={credit_blend:.2f}"
print(f" [CB] Epoch {epoch} ({phase}): loss={train_loss:.4f}, train={train_acc:.4f}, "
f"test={test_acc:.4f}, vloss={vloss:.6f}")
return log, value_net, value_net_ema
# =============================================================================
# Diagnostics
# =============================================================================
def compute_diagnostics(model, method_name, test_loader, device, args,
value_net=None, state_predictor=None, dfa_Bs=None):
"""Compute all diagnostic metrics for a trained model."""
model.eval()
if value_net is not None:
value_net.eval()
if state_predictor is not None:
state_predictor.eval()
d = model.d_hidden
L = model.num_blocks
num_classes = args.num_classes
# Get one batch for diagnostics
for x, y in test_loader:
x = x.view(x.size(0), -1).to(device)
y = y.to(device)
break
batch = x.size(0)
# Forward with hidden states, need grad for BP cosine
logits_bp, hiddens_bp = model(x, return_hidden=True)
for l in range(L + 1):
hiddens_bp[l].retain_grad()
loss_bp = F.cross_entropy(logits_bp, y)
loss_bp.backward()
bp_grads = {l: hiddens_bp[l].grad.detach().clone() for l in range(L + 1)}
# Forward again without grad for clean hidden states
with torch.no_grad():
logits, hiddens = model(x, return_hidden=True)
e_T = logits.softmax(dim=-1)
e_T[torch.arange(batch), y] -= 1
s = e_T.detach()
# Per-layer hidden norms (median across batch) and BP grad norms (per-sample L2, median)
hidden_norms_per_layer = [float(hiddens[l].detach().norm(dim=-1).median().item()) for l in range(L + 1)]
bp_grad_norms_per_layer = [float(bp_grads[l].norm(dim=-1).median().item()) for l in range(L + 1)]
results = {
'bp_cosine': [],
'perturbation_rho': [],
'nudging': {'0.001': [], '0.003': [], '0.01': []},
'hidden_norms_per_layer': hidden_norms_per_layer,
'bp_grad_norms_per_layer': bp_grad_norms_per_layer,
}
# Pre-compute FA credits if needed (sequential backward from exact h_L gradient)
_fa_credits = None
if method_name == 'fa' and dfa_Bs is not None:
hL_req = hiddens[L].detach().requires_grad_(True)
logits_fa = model.out_head(model.out_ln(hL_req))
loss_fa = F.cross_entropy(logits_fa, y, reduction='sum')
_fa_a_L = torch.autograd.grad(loss_fa, hL_req)[0].detach()
_fa_credits = [None] * L
_fa_credits[L - 1] = _fa_a_L
for ll in range(L - 2, -1, -1):
_fa_credits[ll] = (_fa_credits[ll + 1] @ dfa_Bs[ll + 1]).detach()
for l in range(L):
h_l = hiddens[l].detach()
t_l = torch.full((batch,), l / L, device=device)
# Get credit
if method_name == 'bp':
a_l = bp_grads[l]
elif method_name == 'dfa':
a_l = (e_T @ dfa_Bs[l].T).detach()
elif method_name == 'fa':
a_l = _fa_credits[l]
elif method_name == 'state_bridge':
h_l_req = h_l.clone().requires_grad_(True)
pred_hL = state_predictor(h_l_req, t_l, s)
pred_logits = model.out_head(model.out_ln(pred_hL))
pred_loss = F.cross_entropy(pred_logits, y, reduction='sum')
a_l = torch.autograd.grad(pred_loss, h_l_req, create_graph=False)[0].detach()
elif method_name == 'credit_bridge':
h_l_req = h_l.clone().requires_grad_(True)
V_l = value_net(h_l_req, t_l, s)
a_l = torch.autograd.grad(V_l.sum(), h_l_req, create_graph=False)[0].detach()
else:
raise ValueError(f"Unknown method: {method_name}")
# BP cosine
bp_cos = cosine_similarity_batch(a_l, bp_grads[l])
results['bp_cosine'].append(bp_cos)
# Forward function for perturbation and nudging
def make_fwd_fn(start_l):
def fwd_fn(h):
with torch.no_grad():
curr = h
for i in range(start_l, L):
curr = curr + model.blocks[i](curr)
out = model.out_head(model.out_ln(curr))
return F.cross_entropy(out, y, reduction='none')
return fwd_fn
fwd_fn = make_fwd_fn(l)
rho = perturbation_correlation(h_l, a_l, fwd_fn, epsilon=1e-3, M=16)
results['perturbation_rho'].append(rho)
for eta in [0.001, 0.003, 0.01]:
nud = nudging_test(h_l, a_l, fwd_fn, eta=eta)
results['nudging'][str(eta)].append(nud)
return results
# =============================================================================
# Main
# =============================================================================
def run_experiment(args):
device = torch.device(f'cuda:{args.gpu}' if torch.cuda.is_available() else 'cpu')
print(f"Using device: {device}")
os.makedirs(args.output_dir, exist_ok=True)
all_results = {}
for seed in args.seeds:
print(f"\n{'='*60}")
print(f"Seed {seed}")
print(f"{'='*60}")
torch.manual_seed(seed)
np.random.seed(seed)
torch.cuda.manual_seed_all(seed)
train_loader, test_loader, input_dim, num_classes = get_data(args.dataset, args.batch_size)
args.num_classes = num_classes
seed_results = {}
methods_to_run = getattr(args, 'methods', ['bp', 'dfa', 'state_bridge', 'credit_bridge'])
# ---- BP ----
if 'bp' in methods_to_run:
print("\n--- BP ---")
model_bp = ResidualMLP(input_dim, args.d_hidden, num_classes, args.num_blocks).to(device)
init_bp = {n: p.clone().detach() for n, p in model_bp.named_parameters()}
bp_log = train_bp(model_bp, train_loader, test_loader, device, args)
bp_diag = compute_diagnostics(model_bp, 'bp', test_loader, device, args)
bp_drift = feature_drift(init_bp, {n: p.detach() for n, p in model_bp.named_parameters()})
seed_results['bp'] = {'log': bp_log, 'diagnostics': bp_diag, 'drift': bp_drift}
print(f" Final test acc: {bp_log['test_acc'][-1]:.4f}")
# ---- DFA ----
if 'dfa' in methods_to_run:
print("\n--- DFA ---")
torch.manual_seed(seed)
np.random.seed(seed)
torch.cuda.manual_seed_all(seed)
model_dfa = ResidualMLP(input_dim, args.d_hidden, num_classes, args.num_blocks).to(device)
init_dfa = {n: p.clone().detach() for n, p in model_dfa.named_parameters()}
dfa_log, dfa_Bs = train_dfa(model_dfa, train_loader, test_loader, device, args)
dfa_diag = compute_diagnostics(model_dfa, 'dfa', test_loader, device, args, dfa_Bs=dfa_Bs)
dfa_drift = feature_drift(init_dfa, {n: p.detach() for n, p in model_dfa.named_parameters()})
seed_results['dfa'] = {'log': dfa_log, 'diagnostics': dfa_diag, 'drift': dfa_drift}
print(f" Final test acc: {dfa_log['test_acc'][-1]:.4f}")
# ---- FA (vanilla Feedback Alignment, Lillicrap 2016) ----
if 'fa' in methods_to_run:
print("\n--- FA ---")
torch.manual_seed(seed)
np.random.seed(seed)
torch.cuda.manual_seed_all(seed)
model_fa = ResidualMLP(input_dim, args.d_hidden, num_classes, args.num_blocks).to(device)
init_fa = {n: p.clone().detach() for n, p in model_fa.named_parameters()}
fa_log, fa_Bs = train_fa(model_fa, train_loader, test_loader, device, args)
fa_diag = compute_diagnostics(model_fa, 'fa', test_loader, device, args, dfa_Bs=fa_Bs)
fa_drift = feature_drift(init_fa, {n: p.detach() for n, p in model_fa.named_parameters()})
seed_results['fa'] = {'log': fa_log, 'diagnostics': fa_diag, 'drift': fa_drift}
print(f" Final test acc: {fa_log['test_acc'][-1]:.4f}")
# ---- State Bridge ----
if 'state_bridge' in methods_to_run:
print("\n--- State Bridge ---")
torch.manual_seed(seed)
np.random.seed(seed)
torch.cuda.manual_seed_all(seed)
model_sb = ResidualMLP(input_dim, args.d_hidden, num_classes, args.num_blocks).to(device)
init_sb = {n: p.clone().detach() for n, p in model_sb.named_parameters()}
sb_log, state_pred = train_state_bridge(model_sb, train_loader, test_loader, device, args)
sb_diag = compute_diagnostics(model_sb, 'state_bridge', test_loader, device, args,
state_predictor=state_pred)
sb_drift = feature_drift(init_sb, {n: p.detach() for n, p in model_sb.named_parameters()})
seed_results['state_bridge'] = {'log': sb_log, 'diagnostics': sb_diag, 'drift': sb_drift}
print(f" Final test acc: {sb_log['test_acc'][-1]:.4f}")
# ---- Credit Bridge ----
if 'credit_bridge' in methods_to_run:
print("\n--- Credit Bridge ---")
torch.manual_seed(seed)
np.random.seed(seed)
torch.cuda.manual_seed_all(seed)
model_cb = ResidualMLP(input_dim, args.d_hidden, num_classes, args.num_blocks).to(device)
init_cb = {n: p.clone().detach() for n, p in model_cb.named_parameters()}
cb_log, vnet, vnet_ema = train_credit_bridge(model_cb, train_loader, test_loader, device, args)
cb_diag = compute_diagnostics(model_cb, 'credit_bridge', test_loader, device, args,
value_net=vnet)
cb_drift = feature_drift(init_cb, {n: p.detach() for n, p in model_cb.named_parameters()})
seed_results['credit_bridge'] = {'log': cb_log, 'diagnostics': cb_diag, 'drift': cb_drift}
print(f" Final test acc: {cb_log['test_acc'][-1]:.4f}")
all_results[seed] = seed_results
# Save
def serialize(obj):
if isinstance(obj, dict):
return {str(k): serialize(v) for k, v in obj.items()}
elif isinstance(obj, list):
return [serialize(v) for v in obj]
elif isinstance(obj, (np.floating, np.integer)):
return float(obj)
elif isinstance(obj, np.ndarray):
return obj.tolist()
elif isinstance(obj, torch.Tensor):
return obj.cpu().numpy().tolist()
return obj
save_data = serialize(all_results)
save_data['config'] = serialize(vars(args))
out_path = os.path.join(args.output_dir, f'results_{args.dataset}.json')
with open(out_path, 'w') as f:
json.dump(save_data, f, indent=2)
print(f"\nAll results saved to {out_path}")
return all_results
def main():
parser = argparse.ArgumentParser()
parser.add_argument('--dataset', type=str, default='cifar10')
parser.add_argument('--d_hidden', type=int, default=512)
parser.add_argument('--num_blocks', type=int, default=12)
parser.add_argument('--batch_size', type=int, default=128)
parser.add_argument('--epochs', type=int, default=100)
parser.add_argument('--lr', type=float, default=1e-3)
parser.add_argument('--lr_fb', type=float, default=1e-3)
parser.add_argument('--wd', type=float, default=0.01)
parser.add_argument('--lam', type=float, default=0.1)
parser.add_argument('--K', type=int, default=4)
parser.add_argument('--sigma_bridge', type=float, default=0.05)
parser.add_argument('--ema_momentum', type=float, default=0.995)
parser.add_argument('--term_grad_weight', type=float, default=1.0)
parser.add_argument('--seeds', type=int, nargs='+', default=[42, 123, 456])
parser.add_argument('--gpu', type=int, default=1)
parser.add_argument('--output_dir', type=str, default='results/cifar10')
parser.add_argument('--methods', type=str, nargs='+', default=['bp', 'dfa', 'fa', 'state_bridge', 'credit_bridge'],
help='Subset of methods to run. fa = vanilla Feedback Alignment (Lillicrap 2016).')
parser.add_argument('--random_targets', action='store_true',
help='Replace each minibatch label with i.i.d. random class targets (Mode 1 data-agnostic test).')
parser.add_argument('--penalty_lam', type=float, default=0.0,
help='Per-block residual-branch penalty strength: add penalty_lam * mean(||f_l(h_l)||^2) '
'to each block local loss for DFA/SB/CB. Codex round 38 Mode 2 cross-method test.')
args = parser.parse_args()
run_experiment(args)
if __name__ == '__main__':
main()
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