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9.33 kB
| """Tests for src.decode. Run with `python -m pytest tests` or `python tests/test_decode.py`.""" | |
| import itertools | |
| import math | |
| import sys | |
| from pathlib import Path | |
| import numpy as np | |
| sys.path.insert(0, str(Path(__file__).resolve().parents[1])) | |
| from src.decode import (best_subset, decode_all, decode_arrays, # noqa: E402 | |
| expected_f05_topk, threshold_decode) | |
| from src.metric import f05_entity # noqa: E402 | |
| # --------------------------------------------------------------------------- | |
| # helpers: independent reference implementations | |
| # --------------------------------------------------------------------------- | |
| def _pb_pmf(p): | |
| pmf = np.array([1.0]) | |
| for x in p: | |
| pmf = np.convolve(pmf, [1.0 - x, x]) | |
| return pmf | |
| def _expected_naive(p): | |
| """O(m^3) prefix x suffix double sum, straight from the definition.""" | |
| p = np.sort(np.asarray(p, float))[::-1] | |
| m = len(p) | |
| out = np.zeros(m + 1) | |
| out[0] = np.prod(1 - p) | |
| for k in range(1, m + 1): | |
| pre, suf = _pb_pmf(p[:k]), _pb_pmf(p[k:]) | |
| for a in range(1, k + 1): | |
| for b in range(len(suf)): | |
| out[k] += pre[a] * suf[b] * 1.25 * (a / k) * (a / (a + b)) / (0.25 * a / k + a / (a + b)) | |
| return out | |
| def _expected_enumerate(p): | |
| """Exact expectation by enumerating all 2^m label vectors, scored with src.metric.""" | |
| p = np.sort(np.asarray(p, float))[::-1] | |
| m = len(p) | |
| out = np.zeros(m + 1) | |
| for y in itertools.product([0, 1], repeat=m): | |
| w = np.prod([pi if yi else 1 - pi for pi, yi in zip(p, y)]) | |
| true = {i for i in range(m) if y[i]} | |
| for k in range(m + 1): | |
| out[k] += w * f05_entity(set(range(k)), true) | |
| return out | |
| def _crossover(p1=0.95, lo=0.0, hi=None, iters=60): | |
| """Smallest p2 at which predicting both beats predicting only the first.""" | |
| hi = p1 if hi is None else hi | |
| assert best_subset([p1, lo])[0] == 1 and best_subset([p1, hi])[0] == 2 | |
| for _ in range(iters): | |
| mid = 0.5 * (lo + hi) | |
| if best_subset([p1, mid])[0] == 2: | |
| hi = mid | |
| else: | |
| lo = mid | |
| return 0.5 * (lo + hi) | |
| # --------------------------------------------------------------------------- | |
| # (a) single candidate: include iff p > 0.5 | |
| # --------------------------------------------------------------------------- | |
| def test_single_candidate(): | |
| assert best_subset(np.array([0.49]))[0] == 0 | |
| assert best_subset(np.array([0.51]))[0] == 1 | |
| k, v = best_subset(np.array([0.49])) | |
| assert math.isclose(v, 0.51) | |
| k, v = best_subset(np.array([0.51])) | |
| assert math.isclose(v, 0.51) | |
| assert best_subset(np.array([0.5]))[0] == 0 # tie -> prefer the smaller set | |
| assert best_subset(np.array([]))[0] == 0 | |
| assert best_subset(np.array([]))[1] == 1.0 | |
| # --------------------------------------------------------------------------- | |
| # (b) second-candidate crossover with p1 = 0.95 | |
| # --------------------------------------------------------------------------- | |
| def test_two_candidate_crossover(): | |
| x = _crossover(0.95) | |
| # closed form: E1 = p1 (1 - p2/6), E2 = 5/9 (p1 + p2 - 2 p1 p2) + p1 p2 | |
| p1 = 0.95 | |
| analytic = (p1 - 5 / 9 * p1) / (5 / 9 * (1 - 2 * p1) + p1 + p1 / 6) | |
| print(f" p2 crossover at p1=0.95: {x:.6f} (closed form {analytic:.6f})") | |
| assert 0.65 < x < 0.72 | |
| assert abs(x - analytic) < 1e-9 | |
| # --------------------------------------------------------------------------- | |
| # (c) Monte Carlo agreement, and exact agreement with brute force | |
| # --------------------------------------------------------------------------- | |
| def test_monte_carlo_matches_dp(): | |
| rng = np.random.default_rng(12345) | |
| n_draws = 200_000 | |
| worst = 0.0 | |
| for trial in range(16): | |
| m = int(rng.integers(1, 9)) | |
| if trial % 3 == 0: | |
| p = rng.random(m) | |
| elif trial % 3 == 1: | |
| p = rng.beta(0.5, 0.5, m) | |
| else: | |
| p = rng.beta(0.4, 3.0, m) | |
| p = np.sort(p)[::-1] | |
| dp = expected_f05_topk(p) | |
| y = rng.random((n_draws, m)) < p # independent labels | |
| n = y.sum(axis=1) | |
| tp = np.cumsum(y, axis=1) | |
| mc = np.empty(m + 1) | |
| mc[0] = (n == 0).mean() | |
| for k in range(1, m + 1): | |
| t = tp[:, k - 1] | |
| mc[k] = np.where(t > 0, 5.0 * t / (4.0 * k + n), 0.0).mean() | |
| err = np.abs(mc - dp).max() | |
| worst = max(worst, err) | |
| assert err < 0.005, (p, mc, dp) | |
| print(f" max |MC - DP| over 16 vectors: {worst:.5f}") | |
| def test_exact_vs_enumeration_and_naive(): | |
| rng = np.random.default_rng(7) | |
| for m in range(1, 9): | |
| p = rng.random(m) | |
| dp = expected_f05_topk(p) | |
| assert np.allclose(dp, _expected_enumerate(p), atol=1e-12, rtol=0) | |
| assert np.allclose(dp, _expected_naive(p), atol=1e-12, rtol=0) | |
| # large m against the O(m^3) reference | |
| for m in (30, 60): | |
| p = np.concatenate([rng.beta(5, 1, 3), rng.beta(0.3, 6, m - 3)]) | |
| dp = expected_f05_topk(p) | |
| assert np.allclose(dp, _expected_naive(p), atol=1e-12, rtol=0) | |
| assert (dp >= -1e-15).all() and (dp <= 1 + 1e-12).all() | |
| def test_input_order_irrelevant_and_edge_probs(): | |
| p = np.array([0.1, 0.9, 0.0, 1.0, 0.3]) | |
| assert np.allclose(expected_f05_topk(p), expected_f05_topk(p[::-1])) | |
| k, v = best_subset(np.array([1.0, 1.0, 0.0])) | |
| assert k == 2 and math.isclose(v, 1.0) | |
| assert best_subset(np.array([np.nan, 0.2]))[0] == 0 | |
| def test_min_prob_and_max_k(): | |
| p = np.array([0.99, 0.97, 0.96, 0.95]) | |
| assert best_subset(p)[0] == 4 | |
| assert best_subset(p, max_k=2)[0] == 2 | |
| assert best_subset(p, min_prob=0.965)[0] == 2 | |
| E = expected_f05_topk(p) | |
| assert math.isclose(best_subset(p, max_k=2)[1], E[:3].max()) | |
| assert best_subset(np.array([0.6]), min_prob=0.7)[0] == 0 | |
| def test_threshold_decode(): | |
| p = np.array([0.2, 0.5, 0.51, 0.9]) | |
| assert threshold_decode(p, 0.5).tolist() == [False, False, True, True] | |
| # --------------------------------------------------------------------------- | |
| # (d) decode_all agrees with best_subset per entity | |
| # --------------------------------------------------------------------------- | |
| def _synthetic(n_ent=3000, max_m=60, seed=3): | |
| rng = np.random.default_rng(seed) | |
| m = rng.integers(1, max_m + 1, size=n_ent) | |
| ids = np.array([f"S1-{i:06d}" for i in range(n_ent)], dtype=object) | |
| s1 = np.repeat(ids, m) | |
| N = int(m.sum()) | |
| p = np.where(rng.random(N) < 0.08, rng.beta(4, 1, N), rng.beta(0.4, 4, N)) | |
| perm = rng.permutation(N) # rows not grouped by entity | |
| return s1[perm], p[perm] | |
| def _check_against_best_subset(s1, p, out, **kw): | |
| by_ent = {} | |
| for i, sid in enumerate(s1.tolist()): | |
| by_ent.setdefault(sid, []).append(i) | |
| assert set(out) == set(by_ent) | |
| for sid, rows in by_ent.items(): | |
| rows = np.array(rows) | |
| k, _ = best_subset(p[rows], **kw) | |
| top = rows[np.argsort(-p[rows], kind="stable")[:k]] | |
| assert sorted(out[sid]) == sorted(top.tolist()), sid | |
| def test_decode_all_matches_best_subset(): | |
| s1, p = _synthetic() | |
| assert len(p) > 50_000 # large enough to use the pool | |
| out_mp = decode_all(s1, p, n_jobs=2) | |
| out_1 = decode_all(s1, p, n_jobs=1) | |
| assert out_mp == out_1 | |
| _check_against_best_subset(s1, p, out_mp) | |
| # expected values agree too | |
| r = decode_arrays(s1, p, n_jobs=1) | |
| for e in range(0, len(r.entity_ids), 97): | |
| rows = np.flatnonzero(s1 == r.entity_ids[e]) | |
| k, v = best_subset(p[rows]) | |
| assert k == r.k[e] and math.isclose(v, r.expected_f05[e], rel_tol=1e-12) | |
| def test_decode_all_caps_and_threshold(): | |
| s1, p = _synthetic(n_ent=800, seed=11) | |
| out = decode_all(s1, p, n_jobs=1, max_k=2, min_prob=0.3) | |
| _check_against_best_subset(s1, p, out, max_k=2, min_prob=0.3) | |
| out_t = decode_all(s1, p, n_jobs=1, method="threshold", threshold=0.4) | |
| mask = threshold_decode(p, 0.4) | |
| assert sorted(i for v in out_t.values() for i in v) == np.flatnonzero(mask).tolist() | |
| def test_decode_frame_roundtrip(): | |
| import pandas as pd | |
| from src.decode import decode_frame, pred_dict_from_frame | |
| from src.metric import macro_f05 | |
| df = pd.DataFrame({ | |
| "source1_entity_id": ["a", "a", "b", "c", "c", "c"], | |
| "candidate_entity_id": ["x1", "x2", "y1", "z1", "z2", "z3"], | |
| "prob": [0.9, 0.2, 0.3, 0.97, 0.96, 0.1], | |
| }) | |
| fr = decode_frame(df, n_jobs=1) | |
| pred = pred_dict_from_frame(fr) | |
| assert pred == {"a": {"x1"}, "b": set(), "c": {"z1", "z2"}} | |
| assert fr.set_index("source1_entity_id").loc["c", "matched_entity_ids"] == ["z1", "z2"] | |
| truth = {"a": {"x1"}, "b": set(), "c": {"z1", "z2"}, "d": set()} | |
| assert macro_f05(pred, truth) == 1.0 | |
| def _run_all(): | |
| mod = sys.modules[__name__] | |
| names = [n for n in dir(mod) if n.startswith("test_") and callable(getattr(mod, n))] | |
| failed = 0 | |
| for n in names: | |
| try: | |
| getattr(mod, n)() | |
| print(f"PASS {n}") | |
| except Exception as e: # noqa: BLE001 | |
| failed += 1 | |
| import traceback | |
| traceback.print_exc() | |
| print(f"FAIL {n}: {type(e).__name__}: {e}") | |
| print(f"{len(names) - failed}/{len(names)} passed") | |
| return failed | |
| if __name__ == "__main__": | |
| raise SystemExit(1 if _run_all() else 0) | |