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"""PReP — Perturbation-Robustness Probes (Phase 4, idx 10).
Run K=16 noisy forward passes per sample with Gaussian noise injected
on the input embeddings: e_k = e_0 + σ · N(0, I) where σ = SIGMA_REL ·
‖e_0‖ / √(numel(e_0)). Collect anchor-layer [CLS] hidden states
Z_l = {z_l^(k)}_{k=0}^{15} for l ∈ {0, 4, 8, 12} and summarise:
per-anchor:
effective rank of cov(Z_l) (1)
mean displacement from clean (1)
cross-anchor (4 layer pairs × 18 Ripser scalars):
persistence on the 16×16 distance matrix between perturbations
at each anchor pair (4 × 18 = 72)
Output dim = 4·2 + 4·18 = 80.
Memory: noise is shared across the batch, so the per-batch cost is
roughly 16 × (one forward). Disables ``torch.no_grad`` is unnecessary —
forwards are pure inference.
"""
from __future__ import annotations
import numpy as np
import torch
from .persistence_summary import ripser_summary_from_distance, column_names as pcol
ANCHORS = [0, 4, 8, 12]
K = 16
SIGMA_REL = 0.05
def _columns():
cols = []
for l in ANCHORS:
cols.append(f"prep_L{l}_effrank")
cols.append(f"prep_L{l}_displacement")
for k in range(len(ANCHORS)):
cols.extend(pcol(f"prep_anchor{ANCHORS[k]}"))
return cols
COLUMNS = _columns()
DIM = len(COLUMNS)
def _input_embed_module(model):
if hasattr(model, "roberta"):
return model.roberta.embeddings
if hasattr(model, "electra"):
return model.electra.embeddings
return model.embeddings
@torch.no_grad()
def _forward_with_embedding_noise(model, ids, att, noise, anchors_set):
"""Single forward with noise added on input embeddings; capture anchor outputs."""
emb_mod = _input_embed_module(model)
captured = {}
handles = []
def make_hook(l_idx, label):
def fn(module, inputs, output):
if isinstance(output, tuple): output = output[0]
captured[label] = output.detach().clone()
return fn
# Intercept the embedding output and add noise
def emb_post_hook(module, inputs, output):
return output + noise
handles.append(emb_mod.register_forward_hook(emb_post_hook))
# Capture anchor layer outputs (using HF's hidden_states convention)
# We use the encoder's per-layer hook (covers anchors > 0).
if hasattr(model, "roberta"):
encoder_layers = model.roberta.encoder.layer
elif hasattr(model, "electra"):
encoder_layers = model.electra.encoder.layer
else:
encoder_layers = model.encoder.layer
for l in anchors_set:
if l == 0:
# anchor 0 == embedding output
handles.append(emb_mod.register_forward_hook(make_hook(l, l)))
else:
handles.append(encoder_layers[l - 1].register_forward_hook(make_hook(l, l)))
try:
_ = model(input_ids=ids, attention_mask=att, return_dict=True)
finally:
for h in handles: h.remove()
return captured
def extract_prep(model, input_ids, attention_mask, cache, pred_label=None):
"""Return (features (B, 80), columns)."""
device = input_ids.device
B = input_ids.shape[0]
feats = np.zeros((B, DIM), dtype=np.float32)
emb_mod = _input_embed_module(model)
# Clean embedding to scale noise
with torch.no_grad():
e0 = emb_mod(input_ids) # (B, T, D)
sigma = SIGMA_REL * e0.norm() / float(np.sqrt(e0.numel()))
# Anchors → list of (K+1) (B, T, D) tensors at each anchor
anchors_set = set(ANCHORS)
# Clean pass: anchor states
clean = _forward_with_embedding_noise(model, input_ids, attention_mask,
noise=torch.zeros_like(e0),
anchors_set=anchors_set)
# Noisy passes
perturbed = {l: [] for l in ANCHORS}
for k in range(K):
noise = sigma * torch.randn_like(e0)
cap = _forward_with_embedding_noise(model, input_ids, attention_mask,
noise=noise, anchors_set=anchors_set)
for l in ANCHORS:
perturbed[l].append(cap[l][:, 0, :].cpu().numpy()) # (B, D)
# Per-sample features
for b in range(B):
for ai, l in enumerate(ANCHORS):
# Z_l: (K, D) at sample b
Z = np.stack([perturbed[l][k][b] for k in range(K)], axis=0)
clean_b = clean[l][b, 0, :].cpu().numpy()
# Effective rank of cov(Z)
Zc = Z - Z.mean(axis=0, keepdims=True)
cov = Zc.T @ Zc / max(K - 1, 1)
try:
sv = np.linalg.svd(cov, compute_uv=False)
p = sv / (sv.sum() + 1e-12)
eff_rank = float(np.exp(-(p * np.log(p + 1e-12)).sum()))
except np.linalg.LinAlgError:
eff_rank = 0.0
displacement = float(np.linalg.norm(Z - clean_b[None, :], axis=1).mean())
feats[b, ai * 2 + 0] = eff_rank
feats[b, ai * 2 + 1] = displacement
# Persistence on the K×K distance matrix of perturbations at anchor l
Zn = Z / (np.linalg.norm(Z, axis=1, keepdims=True) + 1e-12)
cos = Zn @ Zn.T
D = 1.0 - cos
np.fill_diagonal(D, 0.0)
pers, _ = ripser_summary_from_distance(D, maxdim=1,
prefix=f"prep_anchor{l}")
base = len(ANCHORS) * 2 + ai * 18
feats[b, base : base + 18] = pers
return feats, COLUMNS