amlc-work / code /tests /test_decode.py
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"""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)