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"""Evaluate centered Hopfield on 100 questions.
Memory bank is mean-centered (M̃ = M - μ), query is centered (q̃ = q - μ).
β_critical = 37.6: below it origin is stable attractor, above it dynamics escape.
Grid: β spanning both sides of β_critical, iter = [0, 1, 2, 3, 5, 8].
No residual — pure Hopfield update on centered space.
Usage:
CUDA_VISIBLE_DEVICES=1 nohup python -u scripts/eval_centered_grid.py \
--memory-bank data/processed/hotpotqa_memory_bank.pt \
--questions data/processed/hotpotqa_questions.jsonl \
--device cuda --max-samples 100 \
> data/processed/centered_grid.log 2>&1 &
"""
import argparse
import json
import logging
import sys
import time
from pathlib import Path
from typing import Dict, List, Tuple
import numpy as np
import torch
import torch.nn.functional as F
import yaml
from hag.config import EncoderConfig, GeneratorConfig, MemoryBankConfig
from hag.energy import compute_attention_entropy
from hag.encoder import Encoder
from hag.generator import Generator
from hag.memory_bank import MemoryBank
from hag.metrics import exact_match, f1_score
from hag.retriever_faiss import FAISSRetriever
logging.basicConfig(
level=logging.INFO,
format="%(asctime)s %(levelname)s %(name)s: %(message)s",
stream=sys.stdout,
)
logger = logging.getLogger(__name__)
def load_questions(path: str, max_samples: int) -> Tuple[List[str], List[str]]:
questions, gold_answers = [], []
with open(path) as f:
for line in f:
r = json.loads(line)
questions.append(r["question"])
gold_answers.append(r["answer"])
if len(questions) >= max_samples:
break
return questions, gold_answers
@torch.no_grad()
def hopfield_retrieve_centered(
query: torch.Tensor,
memory_centered: torch.Tensor,
mean: torch.Tensor,
beta: float,
max_iter: int,
top_k: int,
) -> Tuple[torch.Tensor, float]:
"""Pure Hopfield retrieval on centered memory bank.
Args:
query: (batch, d) raw query embeddings
memory_centered: (d, N) centered memory bank (M̃ = M - μ)
mean: (d,) memory bank mean
beta, max_iter, top_k: Hopfield params
Returns:
(top_k_indices (batch, top_k), avg_entropy)
"""
# Center the query
q = query - mean.unsqueeze(0) # (batch, d)
for _ in range(max_iter):
logits = beta * (q @ memory_centered) # (batch, N)
alpha = torch.softmax(logits, dim=-1) # (batch, N)
q = alpha @ memory_centered.T # (batch, d)
# Final attention
logits = beta * (q @ memory_centered)
alpha = torch.softmax(logits, dim=-1)
_, indices = torch.topk(alpha, top_k, dim=-1)
entropy = compute_attention_entropy(alpha)
return indices, entropy
def main() -> None:
parser = argparse.ArgumentParser(description="Centered Hopfield grid evaluation")
parser.add_argument("--config", type=str, default="configs/hotpotqa.yaml")
parser.add_argument("--memory-bank", type=str, required=True)
parser.add_argument("--questions", type=str, required=True)
parser.add_argument("--device", type=str, default="cpu")
parser.add_argument("--max-samples", type=int, default=100)
parser.add_argument("--output", type=str, default="data/processed/centered_grid_results.json")
parser.add_argument("--top-k", type=int, default=5)
args = parser.parse_args()
with open(args.config) as f:
cfg = yaml.safe_load(f)
# Grid: span β_critical ≈ 37.6
betas = [10.0, 20.0, 30.0, 38.0, 40.0, 45.0, 50.0, 60.0, 75.0, 100.0, 150.0, 200.0]
max_iters_list = [0, 1, 2, 3, 5, 8]
top_k = args.top_k
total_configs = len(betas) * len(max_iters_list)
logger.info("=" * 60)
logger.info("Centered Hopfield Grid Search")
logger.info(" β_critical ≈ 37.6")
logger.info(" betas: %s", betas)
logger.info(" max_iters: %s", max_iters_list)
logger.info(" total configs: %d", total_configs)
logger.info("=" * 60)
t_start = time.time()
questions, gold_answers = load_questions(args.questions, args.max_samples)
n = len(questions)
logger.info("Loaded %d questions", n)
# Load memory bank (uncentered)
mb = MemoryBank(MemoryBankConfig(**cfg.get("memory", {})))
mb.load(args.memory_bank, device=args.device)
M_raw = mb.embeddings # (d, N)
d, N = M_raw.shape
logger.info("Memory bank: %d passages, dim=%d", N, d)
# Center the memory bank
mu = M_raw.mean(dim=1) # (d,)
M_cent = M_raw - mu.unsqueeze(1) # (d, N)
logger.info("Centered memory bank. ‖μ‖=%.4f, ‖M̃·1/N‖=%.2e",
mu.norm().item(), M_cent.mean(dim=1).norm().item())
# Compute β_critical
S = torch.linalg.svdvals(M_cent)
lambda_max_C = (S[0].item() ** 2) / N
beta_crit = 1.0 / lambda_max_C
logger.info("β_critical = %.2f (λ_max(C)=%.4f, σ_max=%.4f)", beta_crit, lambda_max_C, S[0].item())
encoder = Encoder(EncoderConfig(**cfg.get("encoder", {})), device=args.device)
generator = Generator(GeneratorConfig(**cfg.get("generator", {})), device=args.device)
logger.info("Encoding questions...")
all_embs = []
batch_size = cfg.get("encoder", {}).get("batch_size", 64)
for i in range(0, n, batch_size):
all_embs.append(encoder.encode(questions[i : i + batch_size]))
Q = torch.cat(all_embs, dim=0) # (n, d)
logger.info("Encoded, shape=%s", Q.shape)
# FAISS baseline (on raw embeddings)
logger.info("Running FAISS baseline...")
emb_np = M_raw.T.cpu().numpy().astype(np.float32)
faiss_ret = FAISSRetriever(top_k=top_k)
faiss_ret.build_index(emb_np, mb.passages)
faiss_indices: Dict[int, Tuple[int, ...]] = {}
llm_cache: Dict[Tuple[int, frozenset], str] = {}
for i in range(n):
q_np = Q[i].cpu().numpy().astype(np.float32)
result = faiss_ret.retrieve(q_np)
idx_tuple = tuple(sorted(result.indices.tolist()))
faiss_indices[i] = idx_tuple
cache_key = (i, frozenset(idx_tuple))
answer = generator.generate(questions[i], result.passages)
llm_cache[cache_key] = answer
if (i + 1) % 20 == 0:
ems = [exact_match(llm_cache[(j, frozenset(faiss_indices[j]))], gold_answers[j]) for j in range(i + 1)]
f1s = [f1_score(llm_cache[(j, frozenset(faiss_indices[j]))], gold_answers[j]) for j in range(i + 1)]
logger.info(" FAISS %d/%d: EM=%.3f F1=%.3f", i + 1, n, np.mean(ems), np.mean(f1s))
faiss_em = np.mean([exact_match(llm_cache[(i, frozenset(faiss_indices[i]))], gold_answers[i]) for i in range(n)])
faiss_f1 = np.mean([f1_score(llm_cache[(i, frozenset(faiss_indices[i]))], gold_answers[i]) for i in range(n)])
logger.info("FAISS baseline: EM=%.4f F1=%.4f", faiss_em, faiss_f1)
# Phase 2: Retrieve all configs (centered)
logger.info("Phase 2: Retrieving all %d configs (centered)...", total_configs)
t_ret = time.time()
retrieval_data: Dict[str, List[Tuple[Tuple[int, ...], float]]] = {}
for beta in betas:
for max_iter in max_iters_list:
config_key = f"β={beta}_iter={max_iter}"
indices_batch, entropy = hopfield_retrieve_centered(
Q, M_cent, mu, beta=beta, max_iter=max_iter, top_k=top_k,
)
per_q = []
for i in range(n):
idx_tuple = tuple(sorted(indices_batch[i].tolist()))
per_q.append((idx_tuple, entropy))
retrieval_data[config_key] = per_q
logger.info("Retrieval done in %.1fs, %d configs", time.time() - t_ret, len(retrieval_data))
# Phase 3: Dedup + generate
needed: Dict[Tuple[int, frozenset], Tuple[int, Tuple[int, ...]]] = {}
for key, per_q in retrieval_data.items():
for i, (idx_tuple, _) in enumerate(per_q):
cache_key = (i, frozenset(idx_tuple))
if cache_key not in llm_cache and cache_key not in needed:
needed[cache_key] = (i, idx_tuple)
logger.info("Unique LLM calls needed: %d (cache has %d)", len(needed), len(llm_cache))
t_gen = time.time()
for call_idx, (cache_key, (q_idx, idx_tuple)) in enumerate(needed.items()):
passages = mb.get_passages_by_indices(torch.tensor(list(idx_tuple), dtype=torch.long))
answer = generator.generate(questions[q_idx], passages)
llm_cache[cache_key] = answer
if (call_idx + 1) % 50 == 0:
elapsed = time.time() - t_gen
rate = (call_idx + 1) / elapsed
logger.info(" Generated %d/%d (%.1f/s, ~%.0fs left)",
call_idx + 1, len(needed), rate, (len(needed) - call_idx - 1) / rate)
logger.info("Generation done: %d calls in %.1fs", len(needed), time.time() - t_gen)
# Phase 4: Evaluate
logger.info("Phase 4: Evaluating...")
results = []
for config_key, per_q in retrieval_data.items():
ems, f1s, overlaps = [], [], []
for i, (idx_tuple, ent) in enumerate(per_q):
cache_key = (i, frozenset(idx_tuple))
answer = llm_cache[cache_key]
ems.append(exact_match(answer, gold_answers[i]))
f1s.append(f1_score(answer, gold_answers[i]))
overlaps.append(len(set(idx_tuple) & set(faiss_indices[i])) / top_k)
em, f1 = np.mean(ems), np.mean(f1s)
# Parse beta from config_key
beta_val = float(config_key.split("_")[0].split("=")[1])
iter_val = int(config_key.split("_")[1].split("=")[1])
r = {
"config": config_key,
"beta": beta_val,
"max_iter": iter_val,
"em": round(em, 4),
"f1": round(f1, 4),
"avg_faiss_overlap": round(np.mean(overlaps), 4),
"avg_entropy": round(per_q[0][1], 4),
"above_beta_crit": beta_val > beta_crit,
}
results.append(r)
results.sort(key=lambda x: x["f1"], reverse=True)
# Count how many beat FAISS
n_beat = sum(1 for r in results if r["f1"] > faiss_f1)
logger.info("\n%d/%d configs beat FAISS F1=%.3f", n_beat, len(results), faiss_f1)
# Log top 20
logger.info("\nTop 20 configs:")
for i, r in enumerate(results[:20]):
marker = " ***" if r["f1"] > faiss_f1 else ""
crit = ">" if r["above_beta_crit"] else "<"
logger.info(" %2d. %-25s EM=%.3f F1=%.3f overlap=%.3f H=%.2f β%sβ_c%s",
i + 1, r["config"], r["em"], r["f1"], r["avg_faiss_overlap"],
r["avg_entropy"], crit, marker)
# Summary by β: best iter for each β
logger.info("\nBest iter per β:")
for beta in betas:
beta_results = [r for r in results if r["beta"] == beta]
if beta_results:
best = beta_results[0]
crit = ">" if best["above_beta_crit"] else "<"
logger.info(" β=%6.1f (β%sβ_c): best iter=%d EM=%.3f F1=%.3f overlap=%.3f",
beta, crit, best["max_iter"], best["em"], best["f1"], best["avg_faiss_overlap"])
t_total = time.time() - t_start
output = {
"meta": {
"n_questions": n,
"total_configs": len(retrieval_data),
"unique_llm_calls": len(needed),
"total_time_s": round(t_total, 1),
"beta_critical": round(beta_crit, 2),
},
"faiss_baseline": {"em": round(faiss_em, 4), "f1": round(faiss_f1, 4)},
"grid_results": results,
"best_config": results[0],
"top10": results[:10],
}
Path(args.output).parent.mkdir(parents=True, exist_ok=True)
with open(args.output, "w") as f:
json.dump(output, f, indent=2)
logger.info("=" * 60)
logger.info("RESULTS SUMMARY")
logger.info(" FAISS: EM=%.4f F1=%.4f", faiss_em, faiss_f1)
logger.info(" β_critical = %.2f", beta_crit)
logger.info(" Configs beating FAISS: %d/%d", n_beat, len(results))
logger.info(" Top 5:")
for i, r in enumerate(results[:5]):
logger.info(" %d. %-25s EM=%.3f F1=%.3f overlap=%.3f",
i + 1, r["config"], r["em"], r["f1"], r["avg_faiss_overlap"])
logger.info(" Total time: %.1fs", t_total)
logger.info(" Saved to: %s", args.output)
logger.info("=" * 60)
if __name__ == "__main__":
main()
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