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+"""
+Phase 5A: Vector Credit Field Audit.
+
+Verify that the vector field's gains are real, not implementation artifacts.
+
+4 mandatory sanity checks:
+A. Train/eval direction split (independent random directions)
+B. Shuffled-target control (permute g_j within batch)
+C. No-terminal ablation (L_term = 0)
+D. One-sided vs symmetric finite difference
+"""
+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
+import copy
+
+sys.path.insert(0, os.path.dirname(os.path.dirname(os.path.abspath(__file__))))
+
+from models.value_net import ValueNet, SinusoidalTimeEmbed, create_ema_model, update_ema
+from metrics.credit_metrics import (
+ cosine_similarity_batch, perturbation_correlation, nudging_test
+)
+
+
+# =============================================================================
+# Synthetic teacher-student
+# =============================================================================
+class TeacherNet(nn.Module):
+ def __init__(self, d_hidden, num_classes, num_blocks, alpha=1.0, seed=0):
+ super().__init__()
+ self.d_hidden = d_hidden
+ self.num_blocks = num_blocks
+ self.alpha = alpha
+ rng = torch.Generator().manual_seed(seed)
+ self.Ws = nn.ParameterList()
+ for _ in range(num_blocks):
+ W = torch.randn(d_hidden, d_hidden, generator=rng) * 0.3 / (d_hidden ** 0.5)
+ U, S, Vh = torch.linalg.svd(W, full_matrices=False)
+ S_clamped = S.clamp(max=0.3)
+ W = U @ torch.diag(S_clamped) @ Vh
+ self.Ws.append(nn.Parameter(W, requires_grad=False))
+ self.U = nn.Parameter(
+ torch.randn(num_classes, d_hidden, generator=rng) / (d_hidden ** 0.5),
+ requires_grad=False)
+
+ def phi(self, z):
+ return (1 - self.alpha) * z + self.alpha * torch.tanh(z)
+
+ def forward(self, x):
+ h = x
+ for W in self.Ws:
+ h = h + self.phi(h @ W.T)
+ return h @ self.U.T
+
+
+class StudentBlock(nn.Module):
+ def __init__(self, d_hidden, alpha=1.0):
+ super().__init__()
+ self.ln = nn.LayerNorm(d_hidden)
+ self.w = nn.Linear(d_hidden, d_hidden, bias=False)
+ nn.init.normal_(self.w.weight, std=0.01)
+ self.alpha = alpha
+
+ def phi(self, z):
+ return (1 - self.alpha) * z + self.alpha * torch.tanh(z)
+
+ def forward(self, h):
+ return self.w(self.phi(self.ln(h)))
+
+
+class StudentNet(nn.Module):
+ def __init__(self, d_hidden, num_classes, num_blocks, alpha=1.0):
+ super().__init__()
+ self.blocks = nn.ModuleList([StudentBlock(d_hidden, alpha) for _ in range(num_blocks)])
+ self.out_head = nn.Linear(d_hidden, num_classes)
+ self.d_hidden = d_hidden
+ self.num_blocks = num_blocks
+
+ def forward(self, x, return_hidden=False):
+ h = 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)
+ if return_hidden:
+ return logits, hiddens
+ return logits
+
+ def forward_from_layer(self, h, start_layer):
+ for i in range(start_layer, self.num_blocks):
+ f = self.blocks[i](h)
+ h = h + f
+ return self.out_head(h)
+
+
+class VectorCreditNet(nn.Module):
+ """Direct vector credit field: a_phi(h_l, t_l, s) -> R^d."""
+ def __init__(self, d_hidden, s_dim, time_embed_dim=32, hidden_dim=256, num_layers=3):
+ super().__init__()
+ self.ln = nn.LayerNorm(d_hidden)
+ self.time_embed = SinusoidalTimeEmbed(time_embed_dim)
+ input_dim = d_hidden + time_embed_dim + s_dim
+ layers = []
+ for i in range(num_layers):
+ in_d = input_dim if i == 0 else hidden_dim
+ layers.append(nn.Linear(in_d, hidden_dim))
+ layers.append(nn.GELU())
+ layers.append(nn.Linear(hidden_dim, d_hidden))
+ self.net = nn.Sequential(*layers)
+
+ def forward(self, h, t, s):
+ h_normed = self.ln(h)
+ t_emb = self.time_embed(t)
+ inp = torch.cat([h_normed, t_emb, s], dim=-1)
+ return self.net(inp)
+
+
+def generate_batch(teacher, d_hidden, num_classes, batch_size, device):
+ x = torch.randn(batch_size, d_hidden, device=device)
+ with torch.no_grad():
+ teacher_logits = teacher(x)
+ y = teacher_logits.argmax(dim=-1)
+ return x, y
+
+
+# =============================================================================
+# Training: vector field with audit controls
+# =============================================================================
+def train_vector_field_audit(model, teacher, device, args, M=4,
+ use_terminal=True,
+ shuffle_targets=False,
+ use_central_diff=True,
+ tag='vec'):
+ """
+ Train vector credit field with configurable audit controls.
+
+ Args:
+ use_terminal: if False, L_term = 0 (no-terminal ablation)
+ shuffle_targets: if True, permute g_j within batch (leak check)
+ use_central_diff: if True, central difference; if False, one-sided
+ tag: label for printing
+ """
+ d = model.d_hidden
+ L = model.num_blocks
+ num_classes = args.num_classes
+
+ vector_net = VectorCreditNet(d_hidden=d, s_dim=num_classes, time_embed_dim=32,
+ hidden_dim=256, num_layers=3).to(device)
+
+ Bs = [torch.randn(d, num_classes, device=device) / np.sqrt(num_classes) for _ in range(L)]
+
+ block_opts = [optim.AdamW(b.parameters(), lr=args.lr, weight_decay=0.01) for b in model.blocks]
+ head_opt = optim.AdamW(model.out_head.parameters(), lr=args.lr, weight_decay=0.01)
+ vec_opt = optim.Adam(vector_net.parameters(), lr=args.lr_fb)
+
+ warmup_epochs = max(1, int(args.epochs * args.warmup_ratio))
+ eps = args.pert_eps
+ beta = args.pert_beta
+
+ for epoch in range(1, args.epochs + 1):
+ model.train()
+ vector_net.train()
+
+ if epoch <= warmup_epochs:
+ credit_blend = 0.0
+ else:
+ credit_blend = min(1.0, (epoch - warmup_epochs) / max(1, warmup_epochs))
+
+ total_loss, correct, total = 0, 0, 0
+ total_vloss = 0
+
+ for _ in range(args.steps_per_epoch):
+ x, y = generate_batch(teacher, d, num_classes, args.batch_size, 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()
+
+ # --- Terminal matching ---
+ loss_term = torch.tensor(0.0, device=device)
+ if use_terminal:
+ t_L = torch.ones(batch, device=device)
+ a_terminal = vector_net(hL_det, t_L, s)
+ hL_req = hL_det.clone().requires_grad_(True)
+ logits_tgt = model.out_head(hL_req)
+ ce = F.cross_entropy(logits_tgt, y, reduction='sum')
+ delta_L = torch.autograd.grad(ce, hL_req, create_graph=False)[0].detach()
+ loss_term = ((a_terminal - delta_L) ** 2).sum(dim=-1).mean()
+
+ # --- Perturbation directional targets ---
+ # IMPORTANT: training directions are sampled fresh each step.
+ # Evaluation uses independently sampled directions (see compute_diagnostics).
+ loss_proj = torch.tensor(0.0, device=device)
+ for l in range(L):
+ h_l_det = hiddens[l].detach()
+ t_l = torch.full((batch,), l / L, device=device)
+ a_l = vector_net(h_l_det, t_l, s)
+
+ layer_proj_loss = 0.0
+ for _ in range(M):
+ v = torch.randn_like(h_l_det)
+ v = v / (v.norm(dim=-1, keepdim=True) + 1e-8)
+
+ with torch.no_grad():
+ if use_central_diff:
+ # Central difference: [loss(h+eps*v) - loss(h-eps*v)] / (2*eps)
+ logits_plus = model.forward_from_layer(h_l_det + eps * v, l)
+ loss_plus = F.cross_entropy(logits_plus, y, reduction='none')
+ logits_minus = model.forward_from_layer(h_l_det - eps * v, l)
+ loss_minus = F.cross_entropy(logits_minus, y, reduction='none')
+ g_j = (loss_plus - loss_minus) / (2 * eps)
+ else:
+ # One-sided difference: [loss(h+eps*v) - loss(h)] / eps
+ logits_base = model.forward_from_layer(h_l_det, l)
+ loss_base = F.cross_entropy(logits_base, y, reduction='none')
+ logits_plus = model.forward_from_layer(h_l_det + eps * v, l)
+ loss_plus = F.cross_entropy(logits_plus, y, reduction='none')
+ g_j = (loss_plus - loss_base) / eps
+
+ # Shuffled-target control: permute g_j within batch
+ if shuffle_targets:
+ perm = torch.randperm(batch, device=device)
+ g_j = g_j[perm]
+
+ pred_j = (a_l * v).sum(dim=-1)
+ layer_proj_loss = layer_proj_loss + ((pred_j - g_j.detach()) ** 2).mean()
+
+ loss_proj = loss_proj + layer_proj_loss / M
+ loss_proj = loss_proj / L
+
+ vec_loss = loss_term + beta * loss_proj
+ vec_opt.zero_grad()
+ vec_loss.backward()
+ torch.nn.utils.clip_grad_norm_(vector_net.parameters(), 1.0)
+ vec_opt.step()
+ total_vloss += vec_loss.item() * batch
+
+ # --- Block updates ---
+ with torch.no_grad():
+ vec_credits = []
+ for l in range(L):
+ h_l_det = hiddens[l].detach()
+ t_l = torch.full((batch,), l / L, device=device)
+ a_l = vector_net(h_l_det, t_l, s)
+ vec_credits.append(a_l.detach())
+
+ dfa_credits = [(e_T @ Bs[l].T).detach() for l in range(L)]
+
+ credits = []
+ for l in range(L):
+ if credit_blend >= 1.0:
+ credits.append(vec_credits[l])
+ elif credit_blend <= 0.0:
+ credits.append(dfa_credits[l])
+ else:
+ vc_rms = (vec_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
+ credits.append(credit_blend * vec_credits[l] / vc_rms +
+ (1 - credit_blend) * dfa_credits[l] / dfa_rms)
+
+ 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()
+
+ for l in range(L):
+ h_l = hiddens[l].detach()
+ a = credits[l]
+ rms = (a ** 2).mean(dim=-1, keepdim=True).sqrt() + 1e-6
+ f_l = model.blocks[l](h_l)
+ local_loss = (f_l * (a / rms)).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()
+
+ total_loss += loss_val.item() * batch
+ correct += (logits.argmax(1) == y).sum().item()
+ total += batch
+
+ if epoch % 20 == 0 or epoch == 1:
+ acc = correct / total
+ print(f" [{tag}] Ep {epoch}: loss={total_loss/total:.4f}, acc={acc:.4f}, "
+ f"vloss={total_vloss/total:.6f}")
+
+ return vector_net
+
+
+def train_scalar_cb(model, teacher, device, args):
+ """Scalar credit bridge baseline."""
+ d = model.d_hidden
+ L = model.num_blocks
+ num_classes = args.num_classes
+
+ 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)
+
+ Bs = [torch.randn(d, num_classes, device=device) / np.sqrt(num_classes) for _ in range(L)]
+
+ block_opts = [optim.AdamW(b.parameters(), lr=args.lr, weight_decay=0.01) for b in model.blocks]
+ head_opt = optim.AdamW(model.out_head.parameters(), lr=args.lr, weight_decay=0.01)
+ value_opt = optim.Adam(value_net.parameters(), lr=args.lr_fb)
+
+ warmup_epochs = max(1, int(args.epochs * args.warmup_ratio))
+
+ for epoch in range(1, args.epochs + 1):
+ model.train()
+ value_net.train()
+
+ if epoch <= warmup_epochs:
+ credit_blend = 0.0
+ else:
+ credit_blend = min(1.0, (epoch - warmup_epochs) / max(1, warmup_epochs))
+
+ total_loss, correct, total = 0, 0, 0
+ for _ in range(args.steps_per_epoch):
+ x, y = generate_batch(teacher, d, num_classes, args.batch_size, 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()
+ t_L = torch.ones(batch, device=device)
+ V_term = value_net(hL_det, t_L, s)
+ loss_term = ((V_term - true_loss) ** 2).mean()
+
+ 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(hL_req2)
+ ce = F.cross_entropy(logits_tgt, y, reduction='sum')
+ a_L_exact = torch.autograd.grad(ce, hL_req2, create_graph=False)[0].detach()
+ loss_tgrad = ((grad_V_L - a_L_exact) ** 2).sum(dim=-1).mean()
+
+ 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_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 = hiddens[l + 1].detach()
+ log_terms = []
+ for k in range(args.K):
+ noise = args.sigma_bridge * torch.randn_like(h_next)
+ V_next = value_net_ema(h_next + noise, t_next, s)
+ log_terms.append(-V_next / args.lam)
+ log_stack = torch.stack(log_terms, dim=-1)
+ V_target = -args.lam * (torch.logsumexp(log_stack, dim=-1) - np.log(args.K))
+ loss_bridge += ((V_l - V_target.detach()) ** 2).mean()
+ loss_bridge /= L
+
+ vloss = loss_term + loss_bridge + args.term_grad_weight * loss_tgrad
+ value_opt.zero_grad()
+ vloss.backward()
+ torch.nn.utils.clip_grad_norm_(value_net.parameters(), 1.0)
+ value_opt.step()
+ update_ema(value_net, value_net_ema, args.ema_momentum)
+
+ 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_credits = [(e_T @ Bs[l].T).detach() for l in range(L)]
+
+ credits = []
+ for l in range(L):
+ if credit_blend >= 1.0:
+ credits.append(cb_credits[l])
+ elif credit_blend <= 0.0:
+ credits.append(dfa_credits[l])
+ else:
+ 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
+ credits.append(credit_blend * cb_credits[l] / cb_rms +
+ (1 - credit_blend) * dfa_credits[l] / dfa_rms)
+
+ 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()
+
+ for l in range(L):
+ h_l = hiddens[l].detach()
+ a = credits[l]
+ rms = (a ** 2).mean(dim=-1, keepdim=True).sqrt() + 1e-6
+ f_l = model.blocks[l](h_l)
+ local_loss = (f_l * (a / rms)).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()
+
+ total_loss += loss_val.item() * batch
+ correct += (logits.argmax(1) == y).sum().item()
+ total += batch
+
+ if epoch % 20 == 0 or epoch == 1:
+ print(f" [scalar_cb] Ep {epoch}: loss={total_loss/total:.4f}, acc={correct/total:.4f}")
+
+ return value_net
+
+
+def train_dfa(model, teacher, device, args):
+ """DFA baseline."""
+ d = model.d_hidden
+ L = model.num_blocks
+ num_classes = args.num_classes
+ Bs = [torch.randn(d, num_classes, device=device) / np.sqrt(num_classes) for _ in range(L)]
+
+ block_opts = [optim.AdamW(b.parameters(), lr=args.lr, weight_decay=0.01) for b in model.blocks]
+ head_opt = optim.AdamW(model.out_head.parameters(), lr=args.lr, weight_decay=0.01)
+
+ for epoch in range(1, args.epochs + 1):
+ model.train()
+ total_loss, correct, total = 0, 0, 0
+ for _ in range(args.steps_per_epoch):
+ x, y = generate_batch(teacher, d, num_classes, args.batch_size, 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
+ hL_det = hiddens[-1].detach()
+ 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()
+ for l in range(L):
+ h_l = hiddens[l].detach()
+ a = (e_T @ Bs[l].T).detach()
+ rms = (a ** 2).mean(dim=-1, keepdim=True).sqrt() + 1e-6
+ f_l = model.blocks[l](h_l)
+ local_loss = (f_l * (a / rms)).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()
+ total_loss += loss_val.item() * batch
+ correct += (logits.argmax(1) == y).sum().item()
+ total += batch
+ if epoch % 20 == 0 or epoch == 1:
+ print(f" [DFA] Ep {epoch}: loss={total_loss/total:.4f}, acc={correct/total:.4f}")
+ return Bs
+
+
+# =============================================================================
+# Diagnostics — uses INDEPENDENT eval directions (check A)
+# =============================================================================
+def compute_diagnostics(model, teacher, device, method_name, args,
+ value_net=None, vector_net=None, dfa_Bs=None):
+ """
+ Compute Gamma, rho, nudging per layer.
+ IMPORTANT: perturbation_correlation uses its own freshly-sampled directions,
+ completely independent of any training directions. This ensures check A.
+ """
+ model.eval()
+ if value_net is not None:
+ value_net.eval()
+ if vector_net is not None:
+ vector_net.eval()
+
+ d = model.d_hidden
+ L = model.num_blocks
+ num_classes = args.num_classes
+
+ # Use a fixed eval seed different from training
+ eval_rng = torch.Generator(device=device)
+ eval_rng.manual_seed(99999)
+
+ x = torch.randn(512, d, device=device, generator=eval_rng)
+ with torch.no_grad():
+ teacher_logits = teacher(x)
+ y = teacher_logits.argmax(dim=-1)
+ batch = x.size(0)
+
+ # BP gradients (evaluation only — never used for training)
+ h = x.detach().requires_grad_(True)
+ hiddens_bp = [h]
+ for block in model.blocks:
+ f = block(hiddens_bp[-1])
+ h_next = hiddens_bp[-1] + f
+ hiddens_bp.append(h_next)
+ logits_bp = model.out_head(hiddens_bp[-1])
+ loss_bp = F.cross_entropy(logits_bp, y)
+ grads = torch.autograd.grad(loss_bp, hiddens_bp, retain_graph=False)
+ bp_grads = {l: grads[l].detach().clone() for l in range(L + 1)}
+
+ 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()
+
+ results = {'bp_cosine': [], 'perturbation_rho': [], 'nudging': []}
+
+ for l in range(L):
+ h_l = hiddens[l].detach()
+ t_l = torch.full((batch,), l / L, device=device)
+
+ if method_name == 'dfa':
+ a_l = (s @ dfa_Bs[l].T).detach()
+ elif method_name == 'scalar_cb':
+ 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()
+ elif method_name.startswith('vec'):
+ a_l = vector_net(h_l, t_l, s).detach()
+ else:
+ raise ValueError(f"Unknown: {method_name}")
+
+ bp_cos = cosine_similarity_batch(a_l, bp_grads[l])
+ results['bp_cosine'].append(float(bp_cos))
+
+ # perturbation_correlation uses its own random directions internally
+ # (from metrics/credit_metrics.py — independent of training directions)
+ def make_fwd_fn(start_l):
+ def fwd_fn(h):
+ with torch.no_grad():
+ logits = model.forward_from_layer(h, start_l)
+ return F.cross_entropy(logits, 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=32)
+ results['perturbation_rho'].append(float(rho))
+
+ nud = nudging_test(h_l, a_l, fwd_fn, eta=0.003)
+ results['nudging'].append(float(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 L in args.depths:
+ for seed in args.seeds:
+ print(f"\n{'='*60}")
+ print(f"L={L}, seed={seed}")
+ print(f"{'='*60}")
+
+ teacher = TeacherNet(args.d_hidden, args.num_classes, L,
+ alpha=args.alpha, seed=seed * 1000).to(device)
+
+ # --- DFA ---
+ print("\n --- DFA ---")
+ torch.manual_seed(seed)
+ np.random.seed(seed)
+ torch.cuda.manual_seed_all(seed)
+ model_dfa = StudentNet(args.d_hidden, args.num_classes, L, alpha=args.alpha).to(device)
+ Bs = train_dfa(model_dfa, teacher, device, args)
+ diag = compute_diagnostics(model_dfa, teacher, device, 'dfa', args, dfa_Bs=Bs)
+ r = {'method': 'dfa', 'L': L, 'seed': seed,
+ 'mean_gamma': float(np.mean(diag['bp_cosine'])),
+ 'mean_rho': float(np.mean(diag['perturbation_rho'])),
+ 'mean_nudge': float(np.mean(diag['nudging'])),
+ 'per_layer': diag}
+ print(f" Result: Gamma={r['mean_gamma']:.4f}, rho={r['mean_rho']:.4f}, nudge={r['mean_nudge']:.6f}")
+ all_results.append(r)
+
+ # --- Scalar CB ---
+ print("\n --- Scalar CB ---")
+ torch.manual_seed(seed)
+ np.random.seed(seed)
+ torch.cuda.manual_seed_all(seed)
+ model_cb = StudentNet(args.d_hidden, args.num_classes, L, alpha=args.alpha).to(device)
+ vnet = train_scalar_cb(model_cb, teacher, device, args)
+ diag = compute_diagnostics(model_cb, teacher, device, 'scalar_cb', args, value_net=vnet)
+ r = {'method': 'scalar_cb', 'L': L, 'seed': seed,
+ 'mean_gamma': float(np.mean(diag['bp_cosine'])),
+ 'mean_rho': float(np.mean(diag['perturbation_rho'])),
+ 'mean_nudge': float(np.mean(diag['nudging'])),
+ 'per_layer': diag}
+ print(f" Result: Gamma={r['mean_gamma']:.4f}, rho={r['mean_rho']:.4f}, nudge={r['mean_nudge']:.6f}")
+ all_results.append(r)
+
+ # --- Vector Field M4 (central diff, with terminal) ---
+ print("\n --- vec_eT_M4 (central, +term) ---")
+ torch.manual_seed(seed)
+ np.random.seed(seed)
+ torch.cuda.manual_seed_all(seed)
+ model_v4 = StudentNet(args.d_hidden, args.num_classes, L, alpha=args.alpha).to(device)
+ vnet4 = train_vector_field_audit(model_v4, teacher, device, args, M=4,
+ use_terminal=True, shuffle_targets=False,
+ use_central_diff=True, tag='vec_eT_M4')
+ diag = compute_diagnostics(model_v4, teacher, device, 'vec_eT_M4', args, vector_net=vnet4)
+ r = {'method': 'vec_eT_M4', 'L': L, 'seed': seed,
+ 'mean_gamma': float(np.mean(diag['bp_cosine'])),
+ 'mean_rho': float(np.mean(diag['perturbation_rho'])),
+ 'mean_nudge': float(np.mean(diag['nudging'])),
+ 'per_layer': diag}
+ print(f" Result: Gamma={r['mean_gamma']:.4f}, rho={r['mean_rho']:.4f}, nudge={r['mean_nudge']:.6f}")
+ all_results.append(r)
+
+ # --- Vector Field M8 (central diff, with terminal) ---
+ if 8 in args.M_values:
+ print("\n --- vec_eT_M8 (central, +term) ---")
+ torch.manual_seed(seed)
+ np.random.seed(seed)
+ torch.cuda.manual_seed_all(seed)
+ model_v8 = StudentNet(args.d_hidden, args.num_classes, L, alpha=args.alpha).to(device)
+ vnet8 = train_vector_field_audit(model_v8, teacher, device, args, M=8,
+ use_terminal=True, shuffle_targets=False,
+ use_central_diff=True, tag='vec_eT_M8')
+ diag = compute_diagnostics(model_v8, teacher, device, 'vec_eT_M8', args, vector_net=vnet8)
+ r = {'method': 'vec_eT_M8', 'L': L, 'seed': seed,
+ 'mean_gamma': float(np.mean(diag['bp_cosine'])),
+ 'mean_rho': float(np.mean(diag['perturbation_rho'])),
+ 'mean_nudge': float(np.mean(diag['nudging'])),
+ 'per_layer': diag}
+ print(f" Result: Gamma={r['mean_gamma']:.4f}, rho={r['mean_rho']:.4f}, nudge={r['mean_nudge']:.6f}")
+ all_results.append(r)
+
+ # =================================================================
+ # SANITY CHECKS (only for first seed to save time, unless full mode)
+ # =================================================================
+ if seed == args.seeds[0] or args.full_audit:
+ # --- Check B: Shuffled-target control ---
+ print("\n --- vec_eT_M4_shuffleCtrl ---")
+ torch.manual_seed(seed)
+ np.random.seed(seed)
+ torch.cuda.manual_seed_all(seed)
+ model_shuf = StudentNet(args.d_hidden, args.num_classes, L, alpha=args.alpha).to(device)
+ vnet_shuf = train_vector_field_audit(model_shuf, teacher, device, args, M=4,
+ use_terminal=True, shuffle_targets=True,
+ use_central_diff=True, tag='vec_shuffleCtrl')
+ diag = compute_diagnostics(model_shuf, teacher, device, 'vec_shuffleCtrl', args, vector_net=vnet_shuf)
+ r = {'method': 'vec_eT_M4_shuffleCtrl', 'L': L, 'seed': seed,
+ 'mean_gamma': float(np.mean(diag['bp_cosine'])),
+ 'mean_rho': float(np.mean(diag['perturbation_rho'])),
+ 'mean_nudge': float(np.mean(diag['nudging'])),
+ 'per_layer': diag}
+ print(f" Result: Gamma={r['mean_gamma']:.4f}, rho={r['mean_rho']:.4f}, nudge={r['mean_nudge']:.6f}")
+ all_results.append(r)
+
+ # --- Check C: No-terminal ablation ---
+ print("\n --- vec_eT_M4_noTerm ---")
+ torch.manual_seed(seed)
+ np.random.seed(seed)
+ torch.cuda.manual_seed_all(seed)
+ model_nt = StudentNet(args.d_hidden, args.num_classes, L, alpha=args.alpha).to(device)
+ vnet_nt = train_vector_field_audit(model_nt, teacher, device, args, M=4,
+ use_terminal=False, shuffle_targets=False,
+ use_central_diff=True, tag='vec_noTerm')
+ diag = compute_diagnostics(model_nt, teacher, device, 'vec_noTerm', args, vector_net=vnet_nt)
+ r = {'method': 'vec_eT_M4_noTerm', 'L': L, 'seed': seed,
+ 'mean_gamma': float(np.mean(diag['bp_cosine'])),
+ 'mean_rho': float(np.mean(diag['perturbation_rho'])),
+ 'mean_nudge': float(np.mean(diag['nudging'])),
+ 'per_layer': diag}
+ print(f" Result: Gamma={r['mean_gamma']:.4f}, rho={r['mean_rho']:.4f}, nudge={r['mean_nudge']:.6f}")
+ all_results.append(r)
+
+ # --- Check D: One-sided difference ---
+ print("\n --- vec_eT_M4_onesided ---")
+ torch.manual_seed(seed)
+ np.random.seed(seed)
+ torch.cuda.manual_seed_all(seed)
+ model_os = StudentNet(args.d_hidden, args.num_classes, L, alpha=args.alpha).to(device)
+ vnet_os = train_vector_field_audit(model_os, teacher, device, args, M=4,
+ use_terminal=True, shuffle_targets=False,
+ use_central_diff=False, tag='vec_onesided')
+ diag = compute_diagnostics(model_os, teacher, device, 'vec_onesided', args, vector_net=vnet_os)
+ r = {'method': 'vec_eT_M4_onesided', 'L': L, 'seed': seed,
+ 'mean_gamma': float(np.mean(diag['bp_cosine'])),
+ 'mean_rho': float(np.mean(diag['perturbation_rho'])),
+ 'mean_nudge': float(np.mean(diag['nudging'])),
+ 'per_layer': diag}
+ print(f" Result: Gamma={r['mean_gamma']:.4f}, rho={r['mean_rho']:.4f}, nudge={r['mean_nudge']:.6f}")
+ all_results.append(r)
+
+ # =================================================================
+ # Summary
+ # =================================================================
+ print(f"\n{'='*80}")
+ print("AUDIT SUMMARY")
+ print(f"{'='*80}")
+ print(f"{'Method':<30} {'L':>3} {'seed':>5} {'Gamma':>8} {'rho':>8} {'nudge':>10}")
+ print("-" * 70)
+ for r in all_results:
+ print(f"{r['method']:<30} {r['L']:>3} {r['seed']:>5} "
+ f"{r['mean_gamma']:>8.4f} {r['mean_rho']:>8.4f} {r['mean_nudge']:>10.6f}")
+
+ # Check verdicts
+ print(f"\n{'='*60}")
+ print("SANITY CHECK VERDICTS")
+ print(f"{'='*60}")
+
+ for L in args.depths:
+ seed0 = args.seeds[0]
+ vec_main = [r for r in all_results if r['method'] == 'vec_eT_M4' and r['L'] == L and r['seed'] == seed0]
+ scalar_cb = [r for r in all_results if r['method'] == 'scalar_cb' and r['L'] == L and r['seed'] == seed0]
+ shuf = [r for r in all_results if r['method'] == 'vec_eT_M4_shuffleCtrl' and r['L'] == L and r['seed'] == seed0]
+ noterm = [r for r in all_results if r['method'] == 'vec_eT_M4_noTerm' and r['L'] == L and r['seed'] == seed0]
+ onesided = [r for r in all_results if r['method'] == 'vec_eT_M4_onesided' and r['L'] == L and r['seed'] == seed0]
+
+ if not vec_main or not scalar_cb:
+ continue
+ v = vec_main[0]
+ cb = scalar_cb[0]
+
+ print(f"\n L={L}:")
+ delta_gamma = v['mean_gamma'] - cb['mean_gamma']
+ delta_rho = v['mean_rho'] - cb['mean_rho']
+ print(f" vec_M4 vs scalar_cb: delta_Gamma={delta_gamma:+.4f}, delta_rho={delta_rho:+.4f}")
+
+ if shuf:
+ s = shuf[0]
+ print(f" Check B (shuffle): Gamma={s['mean_gamma']:.4f}, rho={s['mean_rho']:.4f}")
+ if s['mean_gamma'] < v['mean_gamma'] * 0.5 and s['mean_rho'] < v['mean_rho'] * 0.5:
+ print(f" -> PASS: shuffled control collapses (Gamma dropped by {v['mean_gamma']-s['mean_gamma']:.3f})")
+ else:
+ print(f" -> FAIL: shuffled control too close to main result!")
+
+ if noterm:
+ n = noterm[0]
+ print(f" Check C (noTerm): Gamma={n['mean_gamma']:.4f}, rho={n['mean_rho']:.4f}")
+ if n['mean_gamma'] < v['mean_gamma'] * 0.8:
+ print(f" -> PASS: terminal matching contributes (Gamma dropped by {v['mean_gamma']-n['mean_gamma']:.3f})")
+ else:
+ print(f" -> NOTE: terminal removal didn't collapse result. Perturbation target alone is sufficient.")
+
+ if onesided:
+ o = onesided[0]
+ print(f" Check D (onesided): Gamma={o['mean_gamma']:.4f}, rho={o['mean_rho']:.4f}")
+ if abs(o['mean_gamma'] - v['mean_gamma']) < 0.15:
+ print(f" -> PASS: one-sided ≈ central (difference = {abs(o['mean_gamma']-v['mean_gamma']):.3f})")
+ else:
+ print(f" -> NOTE: one-sided differs from central by {abs(o['mean_gamma']-v['mean_gamma']):.3f}")
+
+ # Final verdict
+ print(f"\n{'='*60}")
+ print("OVERALL AUDIT VERDICT")
+ print(f"{'='*60}")
+ all_pass = True
+ for L in args.depths:
+ for seed in args.seeds:
+ v = [r for r in all_results if r['method'] == 'vec_eT_M4' and r['L'] == L and r['seed'] == seed]
+ cb = [r for r in all_results if r['method'] == 'scalar_cb' and r['L'] == L and r['seed'] == seed]
+ if v and cb:
+ dg = v[0]['mean_gamma'] - cb[0]['mean_gamma']
+ dr = v[0]['mean_rho'] - cb[0]['mean_rho']
+ if dg < 0.2 or dr < 0.2:
+ print(f" L={L} seed={seed}: delta_Gamma={dg:.3f}, delta_rho={dr:.3f} - BELOW THRESHOLD")
+ all_pass = False
+ else:
+ print(f" L={L} seed={seed}: delta_Gamma={dg:.3f}, delta_rho={dr:.3f} - PASS")
+
+ shuf_results = [r for r in all_results if 'shuffleCtrl' in r['method']]
+ for s in shuf_results:
+ if s['mean_rho'] > 0.3:
+ print(f" SHUFFLE CONTROL WARNING: L={s['L']} rho={s['mean_rho']:.3f} too high!")
+ all_pass = False
+
+ if all_pass:
+ print("\n AUDIT PASSED. Vector field gains are real.")
+ else:
+ print("\n AUDIT FAILED or INCOMPLETE. Investigate before proceeding.")
+
+ # Save
+ save_data = []
+ for r in all_results:
+ save_r = {k: v for k, v in r.items() if k != 'per_layer'}
+ save_r['per_layer_gamma'] = r['per_layer']['bp_cosine']
+ save_r['per_layer_rho'] = r['per_layer']['perturbation_rho']
+ save_r['per_layer_nudge'] = r['per_layer']['nudging']
+ save_data.append(save_r)
+
+ out_path = os.path.join(args.output_dir, 'audit_results.json')
+ with open(out_path, 'w') as f:
+ json.dump(save_data, f, indent=2)
+ print(f"\nResults saved to {out_path}")
+
+
+def main():
+ parser = argparse.ArgumentParser(description='Phase 5A: Vector Credit Field Audit')
+ parser.add_argument('--d_hidden', type=int, default=128)
+ parser.add_argument('--num_classes', type=int, default=10)
+ parser.add_argument('--alpha', type=float, default=1.0)
+ parser.add_argument('--depths', type=int, nargs='+', default=[4])
+ parser.add_argument('--M_values', type=int, nargs='+', default=[4, 8])
+ parser.add_argument('--epochs', type=int, default=80)
+ parser.add_argument('--steps_per_epoch', type=int, default=50)
+ parser.add_argument('--batch_size', type=int, default=256)
+ parser.add_argument('--lr', type=float, default=1e-3)
+ parser.add_argument('--lr_fb', type=float, default=1e-3)
+ parser.add_argument('--warmup_ratio', type=float, default=0.05)
+ parser.add_argument('--term_grad_weight', type=float, default=1.0)
+ 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('--pert_eps', type=float, default=1e-3)
+ parser.add_argument('--pert_beta', type=float, default=1.0)
+ parser.add_argument('--seeds', type=int, nargs='+', default=[42])
+ parser.add_argument('--gpu', type=int, default=2)
+ parser.add_argument('--output_dir', type=str, default='results/vector_audit')
+ parser.add_argument('--full_audit', action='store_true',
+ help='Run sanity checks for all seeds (default: first seed only)')
+ args = parser.parse_args()
+ run_experiment(args)
+
+
+if __name__ == '__main__':
+ main()