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6.43 kB
| """EAPT — Edge-Attribution-Patching Topology (Phase 4, idx 11). | |
| Simplified port of EAP-IG (Hanna et al. COLM 2024). Instead of patching | |
| arbitrary edges between MLPs/attention heads at activation-tensor | |
| granularity (which requires a full circuit tracer), we treat each | |
| attention head ``(l, h)`` as a node and score its causal contribution | |
| to the predicted class via integrated-gradients on the attention output: | |
| score(l, h) = ∫_0^1 (clean − corrupt)_{l,h} · ∂L/∂(activation)_{l,h} dα | |
| where ``corrupt`` is a per-token-mean baseline. We approximate the | |
| integral with K_STEPS = 4 Riemann steps. Top-TOP_EDGES = 144 head-scores | |
| define a similarity graph; we run Ripser persistence on it plus a small | |
| set of spectral / SCC scalars. | |
| Output dim = 18 + 5 = 23. | |
| """ | |
| from __future__ import annotations | |
| import numpy as np | |
| import torch | |
| import torch.nn.functional as F | |
| from .persistence_summary import ripser_summary_from_distance, column_names as pcol | |
| K_STEPS = 4 | |
| L = 12 | |
| H = 12 | |
| def _columns(): | |
| cols = list(pcol("eapt_pers")) | |
| cols.extend(["eapt_spec_rad", "eapt_lap_eig1", "eapt_scc_n", | |
| "eapt_top10_sum", "eapt_top10_std"]) | |
| return cols | |
| COLUMNS = _columns() | |
| DIM = len(COLUMNS) | |
| def _attention_modules(model): | |
| if hasattr(model, "roberta"): | |
| return [l.attention.output.dense for l in model.roberta.encoder.layer] | |
| if hasattr(model, "electra"): | |
| return [l.attention.output.dense for l in model.electra.encoder.layer] | |
| return [l.attention.output.dense for l in model.encoder.layer] | |
| def extract_eapt(model, input_ids, attention_mask, cache, pred_label=None): | |
| """Return (features (B, 23), columns).""" | |
| B = input_ids.shape[0] | |
| feats = np.zeros((B, DIM), dtype=np.float32) | |
| if pred_label is None: | |
| with torch.no_grad(): | |
| pred_label = model(input_ids=input_ids, attention_mask=attention_mask).logits.argmax(dim=-1) | |
| attn_dense_modules = _attention_modules(model) | |
| for b in range(B): | |
| ids = input_ids[b:b + 1] | |
| att = attention_mask[b:b + 1] | |
| tgt = pred_label[b:b + 1] | |
| # Clean activation outputs of attention.output.dense (per layer) | |
| clean_acts = {} | |
| handles = [] | |
| def make_clean_hook(idx): | |
| def fn(mod, inputs, output): | |
| clean_acts[idx] = output.detach().clone() | |
| return fn | |
| for l, m in enumerate(attn_dense_modules): | |
| handles.append(m.register_forward_hook(make_clean_hook(l))) | |
| with torch.no_grad(): | |
| model(input_ids=ids, attention_mask=att) | |
| for h in handles: h.remove() | |
| # Corrupt activation: per-token mean across batch position (here B=1 so just mean across tokens) | |
| corrupt_acts = {l: clean_acts[l].mean(dim=1, keepdim=True).expand_as(clean_acts[l]) | |
| for l in clean_acts} | |
| # IG: K_STEPS Riemann steps, accumulate (clean - corrupt) * grad | |
| edge_score = np.zeros((L, H), dtype=np.float32) | |
| head_dim = model.config.hidden_size // H | |
| for step in range(K_STEPS): | |
| alpha = (step + 0.5) / K_STEPS | |
| mix = {l: alpha * clean_acts[l] + (1.0 - alpha) * corrupt_acts[l] | |
| for l in clean_acts} | |
| # Replace each layer's attention.output.dense output with mix via hooks | |
| patch_handles = [] | |
| def make_patch_hook(idx): | |
| def fn(mod, inputs, output): | |
| return mix[idx] | |
| return fn | |
| for l, m in enumerate(attn_dense_modules): | |
| # Make the hook leaf require grad by replacing the output | |
| mix[l].requires_grad_(True) | |
| patch_handles.append(m.register_forward_hook(make_patch_hook(l))) | |
| model.zero_grad(set_to_none=True) | |
| out = model(input_ids=ids, attention_mask=att) | |
| loss = F.cross_entropy(out.logits, tgt) | |
| grads = torch.autograd.grad(loss, [mix[l] for l in range(L)], allow_unused=True) | |
| for h in patch_handles: h.remove() | |
| # score(l, h) = sum over tokens, hidden_dim of head h, of (clean - corrupt) * grad | |
| for l in range(L): | |
| if grads[l] is None: continue | |
| delta = clean_acts[l] - corrupt_acts[l] # (1, T, D) | |
| contrib = (delta * grads[l]).sum(dim=1) # (1, D) | |
| # Project per head | |
| contrib_h = contrib.view(1, H, head_dim).sum(dim=-1).cpu().numpy() | |
| edge_score[l] += contrib_h[0] / K_STEPS | |
| # Top edges → graph | |
| # Build (L*H) × (L*H) similarity from outer product of head scores | |
| scores_flat = edge_score.flatten() | |
| S = np.outer(np.abs(scores_flat), np.abs(scores_flat)) | |
| N = S.shape[0] | |
| # Persistence on (1 - normalised S) as a distance | |
| S_n = S / (S.max() + 1e-12) | |
| Dmat = 1.0 - S_n | |
| np.fill_diagonal(Dmat, 0.0) | |
| pers, _ = ripser_summary_from_distance(Dmat, maxdim=1, prefix="eapt_pers") | |
| feats[b, 0:18] = pers | |
| # Spectral radius of S | |
| try: | |
| ev = np.linalg.eigvalsh(0.5 * (S + S.T)) | |
| spec_rad = float(np.max(np.abs(ev))) | |
| except np.linalg.LinAlgError: | |
| spec_rad = 0.0 | |
| feats[b, 18] = spec_rad | |
| # Top eigenvalue of normalised Laplacian | |
| Aabs = np.abs(S_n); np.fill_diagonal(Aabs, 0.0) | |
| d = Aabs.sum(axis=1); d = np.where(d > 0, d, 1.0) | |
| Dinv = 1.0 / np.sqrt(d) | |
| Lap = np.eye(N) - (Dinv[:, None] * Aabs * Dinv[None, :]) | |
| try: | |
| le = np.linalg.eigvalsh(0.5 * (Lap + Lap.T)) | |
| feats[b, 19] = float(np.sort(le)[::-1][0]) | |
| except np.linalg.LinAlgError: | |
| pass | |
| # Number of strongly-connected components of |S| > 0.1 quantile threshold | |
| thr = np.quantile(Aabs[Aabs > 0], 0.5) if (Aabs > 0).any() else 0.0 | |
| Adj = (Aabs > thr).astype(np.int8) | |
| # SCC via SciPy | |
| try: | |
| from scipy.sparse.csgraph import connected_components | |
| n_scc, _ = connected_components(Adj, directed=False, connection="strong") | |
| feats[b, 20] = float(n_scc) | |
| except Exception: | |
| feats[b, 20] = 0.0 | |
| # Top-10 statistics of |scores_flat| | |
| top10 = np.sort(np.abs(scores_flat))[::-1][:10] | |
| feats[b, 21] = float(top10.sum()) | |
| feats[b, 22] = float(top10.std()) | |
| return feats, COLUMNS | |