merge: testing → main (reconcile 2-week divergence)
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179
tests/clustering/metrics.py
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179
tests/clustering/metrics.py
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"""
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Clustering metric harness — see development/CAMPAIGN_CLUSTERING.md §3.
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Decided BEFORE any clustering algorithm exists, on purpose: if the
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metrics get picked after seeing results, they'll flatter whatever the
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algorithm happens to produce.
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Four metrics, none on its own sufficient:
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* Adjusted Rand Index — headline number, chance-corrected agreement
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between predicted clusters and ground truth.
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* Homogeneity — each predicted cluster contains only one true class.
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Catches FALSE MERGES (campaigns wrongly fused).
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* Completeness — every member of a true class lands in the same
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predicted cluster. Catches FALSE SPLITS (one campaign wrongly torn
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apart).
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* Singleton recall — fraction of ground-truth singletons (lone wolves,
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background noise) that are kept singleton by the clusterer.
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Implemented from first principles in pure Python so the test harness
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doesn't pull sklearn/numpy into the runtime dependency surface.
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"""
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from __future__ import annotations
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import math
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from collections import Counter, defaultdict
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def _comb2(n: int) -> int:
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"""C(n, 2) — number of unordered pairs from n items."""
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return n * (n - 1) // 2 if n >= 2 else 0
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def adjusted_rand_index(truth: dict[str, str], pred: dict[str, str]) -> float:
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"""
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Adjusted Rand Index between two clusterings over the same item set.
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Range: typically [0, 1]; can dip negative for worse-than-random
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labelings. 1.0 = identical partitions (up to label renaming),
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0.0 ≈ chance agreement.
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Both args map item_id -> cluster_id. Items must align exactly.
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"""
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if set(truth) != set(pred):
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raise ValueError(
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"ARI requires identical item sets in truth and pred "
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f"(missing in pred: {set(truth) - set(pred)}, "
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f"missing in truth: {set(pred) - set(truth)})"
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)
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n = len(truth)
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if n < 2:
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return 1.0 # trivially "agree" on <2 items
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# Build the contingency table n_ij = |cluster_i ∩ class_j|.
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contingency: dict[tuple[str, str], int] = defaultdict(int)
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for item, t_label in truth.items():
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p_label = pred[item]
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contingency[(p_label, t_label)] += 1
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sum_comb = sum(_comb2(v) for v in contingency.values())
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a_counts = Counter(pred.values()) # row sums (predicted clusters)
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b_counts = Counter(truth.values()) # column sums (true classes)
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sum_a = sum(_comb2(v) for v in a_counts.values())
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sum_b = sum(_comb2(v) for v in b_counts.values())
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total_pairs = _comb2(n)
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expected = (sum_a * sum_b) / total_pairs if total_pairs else 0.0
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max_index = (sum_a + sum_b) / 2
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if max_index == expected:
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# Degenerate: both clusterings are trivially equal in structure
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# (both all-singletons, or both one-big-cluster). The math forces
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# this — see the algebra of max_index = expected. The induced
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# partitions are necessarily identical, so ARI is 1.0. (sklearn
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# adopts the same convention.)
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return 1.0
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return (sum_comb - expected) / (max_index - expected)
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def _entropy(counts: list[int], total: int) -> float:
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if total == 0:
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return 0.0
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h = 0.0
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for c in counts:
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if c == 0:
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continue
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p = c / total
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h -= p * math.log(p)
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return h
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def _conditional_entropy(
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contingency: dict[tuple[str, str], int],
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given_counts: dict[str, int],
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total: int,
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) -> float:
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"""H(rows | cols) — i.e. entropy of class within each cluster."""
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if total == 0:
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return 0.0
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h = 0.0
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by_col: dict[str, list[int]] = defaultdict(list)
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for (row, col), v in contingency.items():
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by_col[col].append(v)
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for col, vs in by_col.items():
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col_total = given_counts[col]
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if col_total == 0:
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continue
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col_entropy = _entropy(vs, col_total)
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h += (col_total / total) * col_entropy
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return h
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def homogeneity(truth: dict[str, str], pred: dict[str, str]) -> float:
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"""
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1 - H(truth | pred) / H(truth). 1.0 = each predicted cluster
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contains only members of a single true class (no false merges).
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"""
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n = len(truth)
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if n == 0:
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return 1.0
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contingency: dict[tuple[str, str], int] = defaultdict(int)
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for item, t in truth.items():
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contingency[(t, pred[item])] += 1
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truth_counts = Counter(truth.values())
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pred_counts = Counter(pred.values())
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h_truth = _entropy(list(truth_counts.values()), n)
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if h_truth == 0:
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return 1.0
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h_truth_given_pred = _conditional_entropy(contingency, dict(pred_counts), n)
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return 1.0 - (h_truth_given_pred / h_truth)
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def completeness(truth: dict[str, str], pred: dict[str, str]) -> float:
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"""
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1 - H(pred | truth) / H(pred). 1.0 = all members of each true class
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are assigned to the same predicted cluster (no false splits).
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"""
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n = len(truth)
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if n == 0:
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return 1.0
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contingency: dict[tuple[str, str], int] = defaultdict(int)
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for item, t in truth.items():
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contingency[(pred[item], t)] += 1
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pred_counts = Counter(pred.values())
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truth_counts = Counter(truth.values())
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h_pred = _entropy(list(pred_counts.values()), n)
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if h_pred == 0:
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return 1.0
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h_pred_given_truth = _conditional_entropy(contingency, dict(truth_counts), n)
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return 1.0 - (h_pred_given_truth / h_pred)
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def singleton_recall(truth: dict[str, str], pred: dict[str, str]) -> float:
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"""
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Fraction of ground-truth singletons that the clusterer kept singleton.
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A "true singleton" is an item whose truth-campaign has exactly one
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member (lone wolves, background noise scanners). The metric exists
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because ARI/homogeneity/completeness all dilute the cost of a
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clusterer that absorbs noise into real campaigns — and noise
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absorption is the failure mode that makes campaign attribution
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useless in practice.
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"""
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truth_counts = Counter(truth.values())
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true_singletons = [item for item, t in truth.items() if truth_counts[t] == 1]
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if not true_singletons:
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return 1.0
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pred_counts = Counter(pred.values())
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kept = sum(1 for item in true_singletons if pred_counts[pred[item]] == 1)
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return kept / len(true_singletons)
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def score(truth: dict[str, str], pred: dict[str, str]) -> dict[str, float]:
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"""One-shot bundle the four metrics for fixture reports."""
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return {
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"adjusted_rand_index": adjusted_rand_index(truth, pred),
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"homogeneity": homogeneity(truth, pred),
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"completeness": completeness(truth, pred),
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"singleton_recall": singleton_recall(truth, pred),
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}
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