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Cross-seed replication analysis for a single SAE training run.
For a given trained SAE (from a non-default seed, e.g. seed=43 / seed=44):
1. Load it from `models/sae_main_dl_seed{N}/trainer_0/ae.pt`.
2. Score all features by induction_score on our 2,000 induction probes vs controls.
3. Identify the top-100 induction features.
4. Run feature ablation: zero the top-50 induction features and measure ICL accuracy drop.
5. Save results to `results/seed{N}_replication.json`.
Output is self-contained — does NOT overwrite v9c artifacts. Read by the
writeup's replication section to verify the qualitative findings hold.
python scripts/replicate_seed.py --seed 43
"""
import argparse
import json
import random
import time
from pathlib import Path
import numpy as np
import pandas as pd
import torch
from safetensors.torch import save_file
from sae_gemma.model_utils import load_model
from sae_gemma.paths import HOOK_NAME, INDUCTION_PROBES_PATH, REPO_ROOT, RESULTS_DIR
from sae_gemma.induction_probes import _safe_vocab_range
def load_dl_sae_as_saelens(seed: int, device: str):
"""Convert dl ae.pt into in-memory SAELens TopKSAE, no disk write."""
dl_dir = REPO_ROOT / "models" / f"sae_main_dl_seed{seed}" / "trainer_0"
ae_pt = dl_dir / "ae.pt"
cfg_path = dl_dir / "config.json"
if not ae_pt.exists():
raise FileNotFoundError(f"{ae_pt} not found")
sd = torch.load(ae_pt, map_location="cpu")
dl_cfg = json.loads(cfg_path.read_text(encoding="utf-8"))
k = dl_cfg.get("trainer", {}).get("k", 100)
d_sae, d_in = sd["encoder.weight"].shape
# Build SAELens TopKSAE in memory
from sae_lens.saes.topk_sae import TopKSAE, TopKSAEConfig
cfg = TopKSAEConfig(
d_in=int(d_in),
d_sae=int(d_sae),
dtype="float32",
device=device,
apply_b_dec_to_input=True,
normalize_activations="expected_average_only_in",
k=int(k),
rescale_acts_by_decoder_norm=False,
reshape_activations="none",
)
sae = TopKSAE(cfg)
state = {
"W_enc": sd["encoder.weight"].T.contiguous().float(),
"W_dec": sd["decoder.weight"].T.contiguous().float(),
"b_enc": sd["encoder.bias"].float(),
"b_dec": sd["b_dec"].float(),
}
sae.load_state_dict(state, strict=False, assign=True)
sae = sae.to(device)
sae.eval()
return sae
@torch.no_grad()
def get_final_pos_features(model, sae, token_seqs, device, batch_size=16, return_logits=False):
"""Return per-probe SAE feature activations at final position. [n_probes, d_sae].
If return_logits, also return final-position logits [n_probes, vocab]."""
all_feats = []
all_logits = []
for i in range(0, len(token_seqs), batch_size):
batch = token_seqs[i: i + batch_size]
max_len = max(len(seq) for seq in batch)
padded = torch.zeros(len(batch), max_len, dtype=torch.long, device=device)
seq_lens = []
for j, seq in enumerate(batch):
padded[j, : len(seq)] = seq
seq_lens.append(len(seq))
captured = {}
def cap_resid(value, hook):
captured["resid"] = value
return value
out = model.run_with_hooks(padded, fwd_hooks=[(HOOK_NAME, cap_resid)])
resid = captured["resid"] # [B, S, D]
final_resid = torch.stack([resid[j, seq_lens[j] - 1, :] for j in range(len(batch))])
z = sae.encode(final_resid.float())
all_feats.append(z.cpu().numpy())
if return_logits:
final_logits = torch.stack([out[j, seq_lens[j] - 1, :] for j in range(len(batch))])
all_logits.append(final_logits.cpu().numpy())
feats = np.concatenate(all_feats, axis=0)
if return_logits:
logits = np.concatenate(all_logits, axis=0)
return feats, logits
return feats
@torch.no_grad()
def measure_icl_accuracy_with_ablation(model, sae, probes_df, ablate_ids: set, device, batch_size=16):
"""Run model with SAE-patch + ablation; return top-1 ICL accuracy."""
mask = torch.zeros(sae.cfg.d_sae, dtype=torch.bool, device=device)
if ablate_ids:
mask[list(ablate_ids)] = True
correct = 0
total = 0
tokens_list = [torch.tensor(t, dtype=torch.long, device=device) for t in probes_df["tokens"]]
answers = probes_df["B"].tolist()
for i in range(0, len(tokens_list), batch_size):
batch = tokens_list[i: i + batch_size]
max_len = max(len(seq) for seq in batch)
padded = torch.zeros(len(batch), max_len, dtype=torch.long, device=device)
seq_lens = []
for j, seq in enumerate(batch):
padded[j, : len(seq)] = seq
seq_lens.append(len(seq))
def patch_hook(value, hook):
B, S, D = value.shape
flat = value.reshape(B * S, D).float()
z = sae.encode(flat)
z_abl = z * (~mask).float()
recon = sae.decode(z_abl)
recon_orig = sae.decode(z)
delta = (recon - recon_orig).reshape(B, S, D).to(value.dtype)
return value + delta
logits = model.run_with_hooks(padded, fwd_hooks=[(HOOK_NAME, patch_hook)])
for j in range(len(batch)):
pred = logits[j, seq_lens[j] - 1].argmax().item()
if pred == answers[i + j]:
correct += 1
total += 1
return correct / total
def main():
parser = argparse.ArgumentParser()
parser.add_argument("--seed", type=int, required=True, help="Seed of the SAE training run (43 or 44).")
parser.add_argument("--batch-size", type=int, default=16)
parser.add_argument("--device", default="cuda")
parser.add_argument("--top-n", type=int, default=100)
parser.add_argument("--n-ablate", type=int, default=50)
parser.add_argument("--n-controls", type=int, default=2000)
parser.add_argument("--n-vocab-min", type=int, default=1000)
parser.add_argument("--n-vocab-max", type=int, default=20000)
args = parser.parse_args()
try:
from dotenv import load_dotenv
load_dotenv(REPO_ROOT / ".env")
except ImportError:
pass
print(f"[replicate] Loading model + seed-{args.seed} SAE ...", flush=True)
model = load_model(device=args.device)
sae = load_dl_sae_as_saelens(args.seed, args.device)
# Probes + controls
probes_df = pd.read_parquet(INDUCTION_PROBES_PATH)
probe_tokens = [torch.tensor(t, dtype=torch.long, device=args.device) for t in probes_df["tokens"]]
# Build matched control sequences (same length distribution, no A-B repeat)
tokenizer = model.tokenizer
vocab_size = tokenizer.vocab_size if hasattr(tokenizer, "vocab_size") else len(tokenizer)
safe_lo, safe_hi = _safe_vocab_range(vocab_size)
# Clip to user-specified range too
safe_lo = max(safe_lo, args.n_vocab_min)
safe_hi = min(safe_hi, args.n_vocab_max)
rng = random.Random(123)
control_tokens = []
lengths = [len(t) for t in probe_tokens]
for ln in lengths[: args.n_controls]:
# uniformly random tokens of same length
seq = torch.tensor([rng.randint(safe_lo, safe_hi - 1) for _ in range(ln)],
dtype=torch.long, device=args.device)
control_tokens.append(seq)
t0 = time.monotonic()
print(f"[replicate] Computing feature activations on {len(probe_tokens)} induction + {len(control_tokens)} control probes ...", flush=True)
feats_ind = get_final_pos_features(model, sae, probe_tokens, args.device, args.batch_size)
feats_ctrl = get_final_pos_features(model, sae, control_tokens, args.device, args.batch_size)
print(f"[replicate] features: induction mean={feats_ind.mean():.4f} control mean={feats_ctrl.mean():.4f} ({(time.monotonic() - t0)/60:.1f}m)", flush=True)
# Score
induction_mean = feats_ind.mean(axis=0) # [d_sae]
control_mean = feats_ctrl.mean(axis=0)
induction_score = induction_mean - control_mean
ranking = np.argsort(-induction_score) # descending
top_n_ids = ranking[: args.top_n].tolist()
# Ablation
print(f"[replicate] Running ablation: zero top-{args.n_ablate} induction features ...", flush=True)
baseline_acc = measure_icl_accuracy_with_ablation(model, sae, probes_df, set(), args.device, args.batch_size)
ablate_ids = set(top_n_ids[: args.n_ablate])
ablated_acc = measure_icl_accuracy_with_ablation(model, sae, probes_df, ablate_ids, args.device, args.batch_size)
drop = baseline_acc - ablated_acc
print(f"[replicate] baseline acc = {baseline_acc:.4f}", flush=True)
print(f"[replicate] ablated acc = {ablated_acc:.4f} (drop = {drop:+.4f} = {drop*100:+.2f}pp)", flush=True)
out = {
"seed": args.seed,
"n_probes": len(probe_tokens),
"n_controls": len(control_tokens),
"top_feature_id": int(top_n_ids[0]),
"top_induction_score": float(induction_score[top_n_ids[0]]),
"top_induction_mean": float(induction_mean[top_n_ids[0]]),
"top_control_mean": float(control_mean[top_n_ids[0]]),
"top20_ids": [int(x) for x in top_n_ids[:20]],
"top20_scores": [float(induction_score[x]) for x in top_n_ids[:20]],
"top20_mean_score": float(np.mean([induction_score[x] for x in top_n_ids[:20]])),
"n_ablate": args.n_ablate,
"baseline_accuracy": float(baseline_acc),
"ablated_accuracy": float(ablated_acc),
"drop_pp": float(drop * 100),
}
out_path = RESULTS_DIR / f"seed{args.seed}_replication.json"
out_path.write_text(json.dumps(out, indent=2), encoding="utf-8")
print(f"\n[replicate] === SEED {args.seed} SUMMARY ===", flush=True)
print(f" Top induction feature: F{out['top_feature_id']} (induction score = {out['top_induction_score']:.3f})", flush=True)
print(f" Top-20 mean induction score: {out['top20_mean_score']:.3f}", flush=True)
print(f" Top-50 ablation drop: {out['drop_pp']:.2f}pp ({out['baseline_accuracy']*100:.2f}% -> {out['ablated_accuracy']*100:.2f}%)", flush=True)
print(f" Saved to {out_path}", flush=True)
if __name__ == "__main__":
main()
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