| """Bootstrap confidence intervals and paired significance tests. |
| |
| Reads the per-problem diagnosed traces in results/diagnosis/ and, for each |
| (model, benchmark, quantization) cell, computes: |
| |
| - 95% bootstrap CIs for accuracy, average FFS, and ECR (5000 resamples). |
| - A full SSR curve CI band (per-depth bootstrap). |
| - For (base, restored) pairs: a paired bootstrap significance test on |
| ΔAccuracy (uses the SAME sampled problem ids for base and restored in |
| each resample, so the null cancels properly). |
| |
| Emits one *_ci.json next to each existing *_metrics.json, plus one pair-level |
| *_sig.json per (model, benchmark, method) restoration comparison. |
| |
| These are real, defensible uncertainty estimates given a SINGLE inference run: |
| they capture variance across problems, not variance across seeds. For a Q1 |
| paper you want both — this script delivers the first half for free; the |
| seed-variance half requires re-running inference with NUM_RUNS>=3. |
| """ |
|
|
| from __future__ import annotations |
|
|
| import argparse |
| import glob |
| import json |
| import os |
| import re |
| from typing import Dict, List, Optional, Tuple |
|
|
| import numpy as np |
|
|
|
|
| BENCHMARKS = ("gsm8k", "math500", "gpqa") |
| QUANT_METHODS = ("awq_w4", "gptq_w4", "bnb_nf4_w4") |
|
|
|
|
| |
| |
| |
|
|
| def first_failure_step(steps: List[dict]) -> Optional[int]: |
| for s in steps: |
| if s.get("is_correct") is False: |
| return s.get("index") |
| return None |
|
|
|
|
| def cascade_rate(steps: List[dict]) -> Optional[float]: |
| """Fraction of steps AFTER the first failure that are also incorrect. |
| Returns None for problems with no failure (so the aggregate only averages |
| over problems that actually failed — matches aggregate_metrics.ecr).""" |
| ffs = first_failure_step(steps) |
| if ffs is None: |
| return None |
| tail = [s for s in steps if s.get("index", 0) > ffs] |
| if not tail: |
| return None |
| return sum(1 for s in tail if s.get("is_correct") is False) / len(tail) |
|
|
|
|
| def survival_at_depth(steps: List[dict], depth: int) -> Optional[bool]: |
| """True if all of steps[0..depth] are correct, None if the trace is shorter.""" |
| if len(steps) <= depth: |
| return None |
| return all(s.get("is_correct", True) for s in steps[: depth + 1]) |
|
|
|
|
| def load_per_problem(jsonl_path: str) -> List[dict]: |
| """Return a list of per-problem records with the fields bootstrapping needs.""" |
| out = [] |
| with open(jsonl_path) as f: |
| for line in f: |
| t = json.loads(line) |
| steps = t.get("steps", []) or [] |
| out.append({ |
| "problem_id": t.get("problem_id"), |
| "is_correct": bool(t.get("is_correct_final", False)), |
| "ffs": first_failure_step(steps), |
| "ecr": cascade_rate(steps), |
| "step_correct": [s.get("is_correct", True) for s in steps], |
| }) |
| return out |
|
|
|
|
| |
| |
| |
|
|
| def _ci(samples: np.ndarray, alpha: float = 0.05) -> Tuple[float, float]: |
| lo, hi = np.percentile(samples, [100 * alpha / 2, 100 * (1 - alpha / 2)]) |
| return float(lo), float(hi) |
|
|
|
|
| def bootstrap_single(records: List[dict], n_boot: int = 5000, |
| rng: Optional[np.random.Generator] = None) -> dict: |
| """Bootstrap accuracy, avg_ffs, ecr, and the SSR curve for one cell.""" |
| rng = rng or np.random.default_rng(0) |
| n = len(records) |
| if n == 0: |
| return {} |
|
|
| acc_vec = np.array([r["is_correct"] for r in records], dtype=float) |
| ffs_vec = np.array([r["ffs"] if r["ffs"] is not None else np.nan for r in records], dtype=float) |
| ecr_vec = np.array([r["ecr"] if r["ecr"] is not None else np.nan for r in records], dtype=float) |
|
|
| |
| max_depth = 30 |
| alive = np.full((n, max_depth), np.nan) |
| for i, r in enumerate(records): |
| steps = r["step_correct"] |
| for d in range(max_depth): |
| if d < len(steps): |
| alive[i, d] = float(all(steps[: d + 1])) |
|
|
| acc_samples = np.empty(n_boot) |
| ffs_samples = np.empty(n_boot) |
| ecr_samples = np.empty(n_boot) |
| ssr_samples = np.full((n_boot, max_depth), np.nan) |
|
|
| for b in range(n_boot): |
| idx = rng.integers(0, n, size=n) |
| acc_samples[b] = acc_vec[idx].mean() |
| f = ffs_vec[idx] |
| ffs_samples[b] = np.nanmean(f) if np.any(~np.isnan(f)) else np.nan |
| e = ecr_vec[idx] |
| ecr_samples[b] = np.nanmean(e) if np.any(~np.isnan(e)) else np.nan |
| for d in range(max_depth): |
| col = alive[idx, d] |
| valid = ~np.isnan(col) |
| if valid.any(): |
| ssr_samples[b, d] = col[valid].mean() |
|
|
| def summarize(x): |
| x = x[~np.isnan(x)] |
| if x.size == 0: |
| return None |
| lo, hi = _ci(x) |
| return {"mean": float(x.mean()), "ci_lo": lo, "ci_hi": hi} |
|
|
| ssr_ci_lo = np.nanpercentile(ssr_samples, 2.5, axis=0) |
| ssr_ci_hi = np.nanpercentile(ssr_samples, 97.5, axis=0) |
| ssr_mean = np.nanmean(ssr_samples, axis=0) |
|
|
| return { |
| "n": int(n), |
| "accuracy": summarize(acc_samples), |
| "avg_ffs": summarize(ffs_samples), |
| "ecr": summarize(ecr_samples), |
| "ssr_curve_ci": { |
| "mean": [None if np.isnan(v) else float(v) for v in ssr_mean], |
| "ci_lo": [None if np.isnan(v) else float(v) for v in ssr_ci_lo], |
| "ci_hi": [None if np.isnan(v) else float(v) for v in ssr_ci_hi], |
| }, |
| } |
|
|
|
|
| def paired_bootstrap_sig(base: List[dict], rest: List[dict], |
| n_boot: int = 5000, |
| rng: Optional[np.random.Generator] = None) -> dict: |
| """Paired bootstrap on ΔAccuracy between base and restored. |
| |
| Problems are paired by problem_id. For each bootstrap resample we draw the |
| SAME indices in both conditions, compute the delta, and accumulate. The |
| two-sided p-value is 2 * min(P(Δ<=0), P(Δ>=0)). |
| """ |
| rng = rng or np.random.default_rng(0) |
| base_by_id = {r["problem_id"]: r for r in base} |
| rest_by_id = {r["problem_id"]: r for r in rest} |
| shared = sorted(set(base_by_id) & set(rest_by_id)) |
| if not shared: |
| return {"n_pairs": 0} |
|
|
| b_vec = np.array([base_by_id[pid]["is_correct"] for pid in shared], dtype=float) |
| r_vec = np.array([rest_by_id[pid]["is_correct"] for pid in shared], dtype=float) |
|
|
| n = len(shared) |
| deltas = np.empty(n_boot) |
| for i in range(n_boot): |
| idx = rng.integers(0, n, size=n) |
| deltas[i] = r_vec[idx].mean() - b_vec[idx].mean() |
|
|
| observed = float(r_vec.mean() - b_vec.mean()) |
| p_two = 2 * min((deltas <= 0).mean(), (deltas >= 0).mean()) |
| lo, hi = _ci(deltas) |
| return { |
| "n_pairs": int(n), |
| "delta_acc_observed": observed, |
| "delta_acc_ci_lo": lo, |
| "delta_acc_ci_hi": hi, |
| "p_value": float(p_two), |
| } |
|
|
|
|
| |
| |
| |
|
|
| def _discover_cells(diagnosis_dir: str): |
| """Yield (model, benchmark, quant, jsonl_path) tuples for everything on disk.""" |
| for quant_dir in sorted(glob.glob(os.path.join(diagnosis_dir, "*"))): |
| if not os.path.isdir(quant_dir): |
| continue |
| quant = os.path.basename(quant_dir) |
| for model_dir in sorted(glob.glob(os.path.join(quant_dir, "*"))): |
| if not os.path.isdir(model_dir): |
| continue |
| model = os.path.basename(model_dir) |
| for jsonl in sorted(glob.glob(os.path.join(model_dir, "*_run0.jsonl"))): |
| base = os.path.basename(jsonl) |
| m = re.match(r"(.+)_run0\.jsonl$", base) |
| if not m: |
| continue |
| bench = m.group(1) |
| if bench not in BENCHMARKS: |
| continue |
| yield model, bench, quant, jsonl |
|
|
|
|
| def main(): |
| parser = argparse.ArgumentParser() |
| parser.add_argument("--diagnosis", default="results/diagnosis", |
| help="Root diagnosis dir (quant/model/<bench>_run0.jsonl)") |
| parser.add_argument("--output", default="results/metrics", |
| help="Where to drop *_ci.json and *_sig.json") |
| parser.add_argument("--n-boot", type=int, default=5000) |
| parser.add_argument("--seed", type=int, default=0) |
| args = parser.parse_args() |
|
|
| os.makedirs(args.output, exist_ok=True) |
| rng = np.random.default_rng(args.seed) |
|
|
| |
| cells = list(_discover_cells(args.diagnosis)) |
| print(f"Found {len(cells)} diagnosis cells to bootstrap") |
|
|
| per_problem_cache: Dict[Tuple[str, str, str], List[dict]] = {} |
| for model, bench, quant, jsonl in cells: |
| records = load_per_problem(jsonl) |
| per_problem_cache[(model, bench, quant)] = records |
| ci = bootstrap_single(records, n_boot=args.n_boot, rng=rng) |
| out_path = os.path.join(args.output, f"{model}_{quant}_{bench}_run0_ci.json") |
| with open(out_path, "w") as f: |
| json.dump(ci, f, indent=2) |
| print(f" wrote {len(cells)} *_ci.json files") |
|
|
| |
| n_sig = 0 |
| for (model, bench, quant), base_recs in per_problem_cache.items(): |
| if quant.endswith("_restored"): |
| continue |
| rest_recs = per_problem_cache.get((model, bench, quant + "_restored")) |
| if not rest_recs: |
| continue |
| sig = paired_bootstrap_sig(base_recs, rest_recs, n_boot=args.n_boot, rng=rng) |
| out_path = os.path.join(args.output, f"{model}_{quant}_{bench}_run0_sig.json") |
| with open(out_path, "w") as f: |
| json.dump(sig, f, indent=2) |
| n_sig += 1 |
| print(f" wrote {n_sig} *_sig.json files (paired base vs restored)") |
|
|
|
|
| if __name__ == "__main__": |
| main() |
|
|