""" Snapshot evolution on a ViT-Mini (modern transformer-style architecture) trained with BP and block-level DFA on CIFAR-10. Logs ||h_l||, ||BP grad||, Γ per epoch. This is the P4 generalization test: does the residual-stream pathology + LayerNorm gradient collapse mechanism (verified on pre-LN ResMLP with terminal LN) also appear on an actual transformer architecture? If yes → strong P4 in modern setting. Block-level DFA: each TransformerBlock is a "layer". The DFA credit `a_l = e_T @ B_l^T` is broadcast across all tokens at that block's input. The local block loss is `` summed over tokens. Usage: CUDA_VISIBLE_DEVICES=2 nohup python experiments/snapshot_evolution_vit.py \ --output_dir results/snapshot_vit_v1 --epochs 60 --seed 42 \ > results/snapshot_vit_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 models.vit_mini import ViTMini, TransformerBlock from metrics.credit_metrics import cosine_similarity_batch 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); 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): """Compute per-block ||h_l|| and ||BP grad at h_l||, plus optional Γ vs DFA credit.""" was_training = model.training model.eval() L = model.num_blocks # Hidden states (no grad) with torch.no_grad(): _, hiddens = model(x_eval, return_hidden=True) # hiddens[l] is shape (B, n_tokens, d_model) # Reduce to per-sample by taking the cls-token norm OR by flattening across tokens # We'll report cls-token norm (the one that actually flows to the head) hidden_norms_cls = [h[:, 0].norm(dim=-1).median().item() for h in hiddens] hidden_norms_avg = [h.norm(dim=-1).mean().item() for h in hiddens] # avg across tokens then over batch # BP gradients h0 = model.embed(x_eval.detach()) hs = [h0.clone().requires_grad_(True)] for b in model.blocks: hs.append(b(hs[-1])) h_cls = model.out_ln(hs[-1][:, 0]) logits = model.out_head(h_cls) loss = F.cross_entropy(logits, y_eval) grads = torch.autograd.grad(loss, hs) # grads[l] is shape (B, n_tokens, d_model) # Per-sample L2 norm: take Frobenius over tokens × d_model bp_grad_per_sample_l2 = [g.flatten(1).norm(dim=-1).median().item() for g in grads] bp_grad_F = [g.norm().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): # Block-level DFA credit: per-sample (B, d_model), broadcast to (B, n_tokens, d_model) a_dfa_per_sample = (e_T @ dfa_Bs[l].T).detach() # (B, d_model) a_dfa_broadcast = a_dfa_per_sample.unsqueeze(1).expand_as(bp_full[l]) # (B, n_tokens, d_model) # Cosine using flattened (per-sample) representation per_layer_gamma.append(cosine_similarity_batch( a_dfa_broadcast.flatten(1), bp_full[l].flatten(1))) gamma_dfa = float(np.mean(per_layer_gamma)) if was_training: model.train() return { 'hidden_norms_cls': hidden_norms_cls, 'hidden_norms_avg': hidden_norms_avg, 'bp_grad_per_sample_l2_med': bp_grad_per_sample_l2, 'bp_grad_F': bp_grad_F, '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-vit] Ep 0: ||h_L_cls||={d0['hidden_norms_cls'][-1]:.3e} ||g_2||={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.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-vit] Ep {ep}: ||h_L_cls||={d['hidden_norms_cls'][-1]:.3e} ||g_2||={d['bp_grad_per_sample_l2_med'][2]:.3e} acc={d['acc_eval']:.4f}", flush=True) return log def train_dfa_block_level(model, train_loader, x_eval, y_eval, device, epochs, lr, wd): """Block-level DFA on ViT. Each TransformerBlock is treated as a unit; DFA credit is broadcast across all tokens at the block's input. """ d_model = model.d_hidden L = model.num_blocks C = 10 Bs = [torch.randn(d_model, 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( list(model.patch_embed.parameters()) + [model.cls_token, model.pos_embed], lr=lr, weight_decay=wd) head_opt = optim.AdamW( list(model.out_head.parameters()) + list(model.out_ln.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-vit] Ep 0: ||h_L_cls||={d0['hidden_norms_cls'][-1]:.3e} ||g_2||={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.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 via direct CE on cls token h_cls = model.out_ln(hL_det[:, 0]) logits_out = model.out_head(h_cls) loss_out = F.cross_entropy(logits_out, y) head_opt.zero_grad(); loss_out.backward(); head_opt.step() # Block updates: each block's local loss = for l in range(L): h_l = hiddens[l].detach() # (B, n_tokens, d) a_dfa = (e_T @ Bs[l].T).detach() # (B, d) a_dfa_broadcast = a_dfa.unsqueeze(1).expand_as(h_l) # (B, n_tokens, d) rms = (a_dfa_broadcast ** 2).mean(dim=-1, keepdim=True).sqrt() + 1e-6 a_norm = a_dfa_broadcast / 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 (patch embed + cls + pos) 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) # (B, n_tokens, d) a_0_broadcast = a_0.unsqueeze(1).expand_as(h0) embed_loss = (h0 * (a_0_broadcast / rms_0.unsqueeze(1))).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-vit] Ep {ep}: ||h_L_cls||={d['hidden_norms_cls'][-1]:.3e} ||g_2||={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_vit_v1') p.add_argument('--epochs', type=int, default=60) p.add_argument('--lr', type=float, default=1e-3) p.add_argument('--wd', type=float, default=0.05) p.add_argument('--seed', type=int, default=42) p.add_argument('--depth', type=int, default=4) p.add_argument('--d_model', type=int, default=128) p.add_argument('--n_heads', type=int, default=4) args = p.parse_args() os.makedirs(args.output_dir, exist_ok=True) device = torch.device('cuda:0') print(f"ViT-MINI: depth={args.depth}, d_model={args.d_model}, n_heads={args.n_heads}, " 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) print("\n=== BP training (ViT-Mini) ===", flush=True) torch.manual_seed(args.seed); np.random.seed(args.seed); torch.cuda.manual_seed_all(args.seed) bp_model = ViTMini(num_blocks=args.depth, d_model=args.d_model, n_heads=args.n_heads).to(device) print(f" n_params={sum(p.numel() for p in bp_model.parameters())}", flush=True) bp_log = train_bp(bp_model, train_loader, x_eval, y_eval, device, args.epochs, args.lr, args.wd) print("\n=== DFA training (ViT-Mini, block-level DFA) ===", flush=True) torch.manual_seed(args.seed); np.random.seed(args.seed); torch.cuda.manual_seed_all(args.seed) dfa_model = ViTMini(num_blocks=args.depth, d_model=args.d_model, n_heads=args.n_heads).to(device) dfa_log = train_dfa_block_level(dfa_model, train_loader, x_eval, y_eval, device, args.epochs, args.lr, args.wd) out = { 'config': vars(args), 'depth': args.depth, 'd_model': args.d_model, 'architecture': 'ViTMini', 'bp_log': bp_log, 'dfa_log': dfa_log, } out_path = os.path.join(args.output_dir, f'snapshot_vit_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()