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"""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