"""Supplement A2 with BP baseline: 10 seeds, CIFAR-10, L=4, d=256.""" import os, sys, json, csv, argparse, numpy as np, torch, torch.nn as nn, torch.nn.functional as F import torch.optim as optim from torch.utils.data import DataLoader import torchvision, torchvision.transforms as transforms sys.path.insert(0, os.path.dirname(os.path.dirname(os.path.abspath(__file__)))) from models.residual_mlp import ResidualMLP from metrics.credit_metrics import cosine_similarity_batch, perturbation_correlation def get_cifar10(bs=128): tt=transforms.Compose([transforms.RandomCrop(32,4),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))]) return (DataLoader(torchvision.datasets.CIFAR10('./data',True,download=True,transform=tt),bs,True,num_workers=4,pin_memory=True), DataLoader(torchvision.datasets.CIFAR10('./data',False,download=True,transform=tv),bs,False,num_workers=4,pin_memory=True)) def evaluate(m,tl,dev): m.eval();c,t=0,0 with torch.no_grad(): for x,y in tl:x=x.view(x.size(0),-1).to(dev);y=y.to(dev);c+=(m(x).argmax(1)==y).sum().item();t+=x.size(0) return c/t def compute_naive_state_err(model, test_loader, device, eval_layer=None): model.eval(); L=model.num_blocks if eval_layer is None: eval_layer=L//2 te,n=0.0,0 with torch.no_grad(): for x,y in test_loader: x=x.view(x.size(0),-1).to(device);_,hi=model(x,return_hidden=True) hL=hi[-1];hl=hi[eval_layer];norm=hL.norm(-1,keepdim=True).clamp(min=1.0) te+=((hl-hL)/norm).pow(2).sum(-1).mean().item()*x.size(0);n+=x.size(0) return te/n def compute_bp_diagnostics(model, test_loader, device): model.eval(); L=model.num_blocks for x,y in test_loader: x=x.view(x.size(0),-1).to(device);y=y.to(device);break batch=x.size(0) lo,hbp=model(x,return_hidden=True) for l in range(L+1):hbp[l].retain_grad() F.cross_entropy(lo,y).backward() bp={l:hbp[l].grad.detach().clone() for l in range(L+1)} # BP credit = BP grad, so Gamma=1.0 by definition, rho≈1.0 # But let's compute rho properly with torch.no_grad():_,hi=model(x,return_hidden=True) gammas,rhos=[],[] for l in range(L): gammas.append(1.0) # BP cosine with itself h_l=hi[l].detach();a_l=bp[l] def make_fwd(sl): def f(h): with torch.no_grad(): c=h for i in range(sl,L):c=c+model.blocks[i](c) return F.cross_entropy(model.out_head(model.out_ln(c)),y,reduction='none') return f rhos.append(perturbation_correlation(h_l,a_l,make_fwd(l),epsilon=1e-3,M=16)) return float(np.mean(gammas)),float(np.mean(rhos)) def main(): p=argparse.ArgumentParser() p.add_argument('--gpu',type=int,default=3) p.add_argument('--output_dir',type=str,default='results/confirmatory') a=p.parse_args() device=torch.device(f'cuda:{a.gpu}') os.makedirs(a.output_dir,exist_ok=True) seeds=[42,123,456,789,1024,2048,3000,4000,5000,6000] L,d=4,256;trl,tel=get_cifar10() rows_main=[];rows_naive=[] for seed in seeds: torch.manual_seed(seed);np.random.seed(seed);torch.cuda.manual_seed_all(seed) model=ResidualMLP(3072,d,10,L).to(device) opt=optim.AdamW(model.parameters(),lr=1e-3,weight_decay=0.01) sch=optim.lr_scheduler.CosineAnnealingLR(opt,T_max=100) print(f" BP seed={seed}: training...",flush=True) for ep in range(1,101): model.train() for x,y in trl: x=x.view(x.size(0),-1).to(device);y=y.to(device) loss=F.cross_entropy(model(x),y);opt.zero_grad();loss.backward();opt.step() sch.step() if ep%20==0:print(f" Ep {ep}: acc={evaluate(model,tel,device):.4f}",flush=True) acc=evaluate(model,tel,device) gamma,rho=compute_bp_diagnostics(model,tel,device) nse=compute_naive_state_err(model,tel,device) rows_main.append({'method':'bp','seed':seed,'StateErr':float('nan'),'Gamma':gamma,'rho':rho,'acc':acc}) rows_naive.append({'method':'bp','seed':seed,'naive_StateErr':nse}) print(f" BP seed={seed}: acc={acc:.4f}, Gamma={gamma:.4f}, rho={rho:.4f}, naive_StateErr={nse:.6f}",flush=True) # Append to A2 CSV a2_path=os.path.join(a.output_dir,'A2_cifar_state_vs_credit.csv') with open(a2_path,'a',newline='') as f: w=csv.DictWriter(f,fieldnames=['method','seed','StateErr','Gamma','rho','acc']);w.writerows(rows_main) print(f"Appended {len(rows_main)} BP rows to {a2_path}",flush=True) # Append to naive CSV naive_path=os.path.join(a.output_dir,'A2_naive_state_err.csv') with open(naive_path,'a',newline='') as f: w=csv.DictWriter(f,fieldnames=['method','seed','naive_StateErr']);w.writerows(rows_naive) print(f"Appended {len(rows_naive)} BP rows to {naive_path}",flush=True) # Also save standalone bp_path=os.path.join(a.output_dir,'A2_bp_supplement.csv') with open(bp_path,'w',newline='') as f: w=csv.DictWriter(f,fieldnames=['method','seed','StateErr','Gamma','rho','acc','naive_StateErr']) w.writeheader() for m,n in zip(rows_main,rows_naive): w.writerow({**m,'naive_StateErr':n['naive_StateErr']}) print(f"Saved standalone to {bp_path}",flush=True) if __name__=='__main__':main()