"""Bootstrap confidence intervals and paired model comparisons. Reads the per-query JSON written by `eval_clap_tf.py --per-query`, so every number carries an interval derived from the actual queries rather than a single point estimate. python analysis.py results_final # writes analysis.json + prints python analysis.py results_final --paired clotho Bootstrap: 2000 resamples over queries, fixed seed. The paired comparison uses the shared fixture fingerprint to guarantee both checkpoints scored the same clip/caption sequence, then resamples queries *together* (paired bootstrap) and reports a McNemar exact test on the discordant pairs. """ from __future__ import annotations import argparse import json import math from pathlib import Path import numpy as np SEED = 12345 N_BOOT = 2000 def _ci(values: np.ndarray, stat, n_boot: int = N_BOOT, seed: int = SEED): """Percentile bootstrap. Returns (low, high, standard error).""" rng = np.random.default_rng(seed) n = len(values) draws = np.empty(n_boot, dtype=np.float64) for i in range(n_boot): idx = rng.integers(0, n, n) draws[i] = stat(values[idx]) return (float(np.percentile(draws, 2.5)), float(np.percentile(draws, 97.5)), float(draws.std(ddof=1))) def cell_stats(d: dict) -> dict: """Recompute headline metrics from per-query arrays and bootstrap them.""" t2a, a2t = d["metrics"]["t2a"], d["metrics"]["a2t"] tr = np.asarray(t2a["first_hit_rank"], dtype=np.int64) ar = np.asarray(a2t["first_hit_rank"], dtype=np.int64) aap = np.asarray(a2t["ap"], dtype=np.float64) out = {"model": d["model"], "dataset": d["dataset"], "tag": d.get("tag"), "audio_batch": d["protocol"]["audio_batch"], "trim_seconds": d["protocol"]["trim_seconds"], "fixture_fingerprint": d.get("fixture_fingerprint"), "counts": d["counts"], "metrics": {}} specs = [ ("t2a_r1", tr, lambda v: float((v == 1).mean()), t2a["r@1"]), ("t2a_r5", tr, lambda v: float((v <= 5).mean()), t2a["r@5"]), ("t2a_r10", tr, lambda v: float((v <= 10).mean()), t2a["r@10"]), ("t2a_mrr", tr, lambda v: float((1.0 / v).mean()), t2a["map"]), ("a2t_r1", ar, lambda v: float((v == 1).mean()), a2t["r@1"]), ("a2t_r5", ar, lambda v: float((v <= 5).mean()), a2t["r@5"]), ("a2t_r10", ar, lambda v: float((v <= 10).mean()), a2t["r@10"]), ("a2t_map", aap, lambda v: float(v.mean()), a2t["map"]), ] for name, arr, stat, reported in specs: point = stat(arr) lo, hi, se = _ci(arr, stat) # the bootstrap point must reproduce the harness's own number assert abs(point - reported) < 1e-6, (name, point, reported) out["metrics"][name] = {"value": point, "ci95": [lo, hi], "se": se} out["metrics"]["n_queries"] = {"t2a": int(len(tr)), "a2t": int(len(ar))} # kept in memory for the paired tests; stripped before the JSON is written out["_pq"] = {"t2a": tr, "a2t": ar, "a2t_ap": aap} return out def paired(a: dict, b: dict, metric: str = "r@1") -> dict: """Paired bootstrap on two cells of the same fixture, plus McNemar for hits.""" assert a["fixture_fingerprint"] == b["fixture_fingerprint"], ( "fixtures differ; paired comparison is not legitimate") if metric.endswith("map"): va = a["_pq"]["a2t_ap"].astype(np.float64) vb = b["_pq"]["a2t_ap"].astype(np.float64) n = len(va) diff = float(vb.mean() - va.mean()) rng = np.random.default_rng(SEED) deltas = np.empty(N_BOOT) for i in range(N_BOOT): idx = rng.integers(0, n, n) deltas[i] = vb[idx].mean() - va[idx].mean() return {"a": a["model"], "b": b["model"], "metric": metric, "delta": diff, "ci95": [float(np.percentile(deltas, 2.5)), float(np.percentile(deltas, 97.5))], "n": n, "discordant_a_only": None, "discordant_b_only": None, "mcnemar_exact_p": None} if metric.startswith("t2a"): xa, xb = a["_pq"]["t2a"], b["_pq"]["t2a"] else: xa, xb = a["_pq"]["a2t"], b["_pq"]["a2t"] k = int(metric.split("r@")[1]) ha, hb = xa <= k, xb <= k n = len(ha) diff = float(hb.mean() - ha.mean()) rng = np.random.default_rng(SEED) deltas = np.empty(N_BOOT) for i in range(N_BOOT): idx = rng.integers(0, n, n) deltas[i] = hb[idx].mean() - ha[idx].mean() lo, hi = float(np.percentile(deltas, 2.5)), float(np.percentile(deltas, 97.5)) n01 = int((~ha & hb).sum()) # a misses, b hits n10 = int((ha & ~hb).sum()) # a hits, b misses m = n01 + n10 # exact two-sided binomial under p=0.5 if m == 0: p = 1.0 else: tail = sum(math.comb(m, i) for i in range(0, min(n01, n10) + 1)) / 2 ** m p = min(1.0, 2 * tail) return {"a": a["model"], "b": b["model"], "metric": metric, "delta": diff, "ci95": [lo, hi], "n": n, "discordant_a_only": n10, "discordant_b_only": n01, "mcnemar_exact_p": p} def main() -> int: ap = argparse.ArgumentParser() ap.add_argument("dir", nargs="?", default="results_final") ap.add_argument("--out", default="analysis.json") args = ap.parse_args() files = sorted(Path(args.dir).glob("*.json")) files = [f for f in files if "summary" not in f.name] if not files: print(f"no result JSONs in {args.dir}") return 1 cells = [] for f in files: d = json.loads(f.read_text(encoding="utf-8")) if "first_hit_rank" not in d["metrics"]["t2a"]: print(f"skip {f.name}: no per-query arrays (rerun with --per-query)") continue cells.append(cell_stats(d)) pairs = [] by_key = {} for c in cells: if c["audio_batch"] == 1 and c["trim_seconds"] == 10.0: by_key.setdefault(c["dataset"], {})[c["model"]] = c for ds, models in by_key.items(): ids = sorted(models) if len(ids) == 2 and "clap-htsat-fused" in ids[0] + ids[1]: a, b = models[ids[0]], models[ids[1]] for metric in ("t2a r@1", "a2t r@1", "a2t map"): pairs.append(paired(a, b, metric)) print(f"{'model':<28}{'ds':<10}{'metric':<10}{'value':>8} 95% CI") for c in cells: for k, v in c["metrics"].items(): if k == "n_queries": continue print(f"{c['model']:<28}{c['dataset']:<10}{k:<10}{v['value']:>8.3f} " f"[{v['ci95'][0]:.3f}, {v['ci95'][1]:.3f}]") if pairs: print("\npaired comparisons (same fixture, resampled together)") for p in pairs: mcn = ("n/a" if p["mcnemar_exact_p"] is None else f"{p['mcnemar_exact_p']:.3g}") disc = ("n/a" if p["discordant_a_only"] is None else f"{p['discordant_a_only']}/{p['discordant_b_only']}") print(f"{p['a']} -> {p['b']} | {p['metric']}: delta {p['delta']:+.3f} " f"[{p['ci95'][0]:+.3f}, {p['ci95'][1]:+.3f}], " f"discordant {disc}, McNemar p={mcn}") # per-query arrays are large and only needed in memory slim = [{k: v for k, v in c.items() if k != "_pq"} for c in cells] Path(args.out).write_text( json.dumps({"cells": slim, "paired": pairs}, indent=2), encoding="utf-8") print(f"\nwrote {args.out}") return 0 if __name__ == "__main__": raise SystemExit(main())