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| """Explicit pilot diagnostics for association-only corruption and abstention. | |
| These metrics are defined in the benchmark specification, not replacements for | |
| canonical HOTA/IDF1. Detections stay fixed. One global identity alignment is allowed. | |
| """ | |
| from __future__ import annotations | |
| import itertools | |
| import numpy as np | |
| import pandas as pd | |
| from scipy.optimize import linear_sum_assignment | |
| from sklearn.metrics import average_precision_score, roc_auc_score | |
| from cell_tracking.data.wormtrack_verify.adapters import TRUSTED, XYZ, validate_tracks | |
| def corrupt_tracks(tracks, *, kind, seed, start_frame, stop_frame=None, pair=None): | |
| """Deterministic swaps/fragmentation with row-level error labels and fixed observations. | |
| Labels mark correspondence to the original reference identity. Purely global | |
| renaming is not an error; start_frame must follow the first reference frame. | |
| Original images, detection IDs, and coordinates are preserved. | |
| """ | |
| validate_tracks(tracks) | |
| if not set(tracks.annotation_type).issubset(TRUSTED): | |
| raise ValueError("Corruptions require independently trusted source annotations") | |
| if tracks.recording_id.nunique() != 1 or tracks.label_set.nunique() != 1: | |
| raise ValueError("Corrupt one recording and one label set at a time") | |
| frames = sorted(tracks.frame_index.unique()) | |
| if start_frame <= frames[0] or start_frame > frames[-1]: | |
| raise ValueError("Corruption must follow the identity anchor and lie inside the recording") | |
| stop_frame = frames[-1] + 1 if stop_frame is None else stop_frame | |
| if stop_frame <= start_frame or stop_frame > frames[-1] + 1: | |
| raise ValueError("Invalid corruption interval") | |
| rng = np.random.default_rng(seed) | |
| ids = sorted(tracks.track_id.unique()) | |
| if pair is None: | |
| if len(ids) < 2: | |
| raise ValueError("Need two tracks") | |
| pair = list(rng.choice(ids, 2, replace=False)) | |
| if len(pair) != 2 or pair[0] == pair[1] or not set(pair).issubset(ids): | |
| raise ValueError("Pair must identify two distinct source tracks") | |
| df = tracks.copy() | |
| df["reference_track_id"] = df.track_id | |
| interval = (df.frame_index >= start_frame) & (df.frame_index < stop_frame) | |
| affected = interval & df.track_id.isin(pair) | |
| if not affected.any(): | |
| raise ValueError("No observations in the selected corruption interval") | |
| if kind in {"single_frame_swap", "persistent_swap", "swap_recovery", "nearby_swap"}: | |
| if kind == "single_frame_swap": | |
| affected &= df.frame_index == start_frame | |
| df.loc[affected, "track_id"] = df.loc[affected, "track_id"].map( | |
| {pair[0]: pair[1], pair[1]: pair[0]} | |
| ) | |
| elif kind == "fragmentation": | |
| affected = interval & (df.track_id == pair[0]) | |
| df.loc[affected, "track_id"] = pair[0] + f":fragment:{seed}" | |
| elif kind == "dropout": | |
| affected = interval & (df.track_id == pair[0]) | |
| df.loc[affected, "validity"] = False | |
| else: | |
| raise ValueError(f"Unsupported pilot corruption: {kind}") | |
| df["is_error"] = affected | |
| df["corruption_type"] = kind | |
| df["seed"] = seed | |
| df["scenario_id"] = f"{kind}:seed{seed}" | |
| return df | |
| def association_metrics(reference, prediction): | |
| """Score shared oracle detections with one recording-wide identity permutation. | |
| Missing predictions count against coverage and correct-observation rate. | |
| Switches are changes in predicted identity along each reference trajectory; | |
| fragmented runs also count reappearance after a missing prediction. Evaluation | |
| covers only source-supported reference observations, not unannotated frames. | |
| """ | |
| validate_tracks(reference) | |
| validate_tracks(prediction) | |
| if reference.recording_id.nunique() != 1 or prediction.recording_id.nunique() != 1: | |
| raise ValueError("Evaluate each independent recording separately") | |
| if reference.recording_id.iloc[0] != prediction.recording_id.iloc[0]: | |
| raise ValueError("Mismatched recording") | |
| key = ["frame_index", "detection_id"] | |
| valid_prediction = prediction.loc[prediction.validity] | |
| joined = reference.loc[reference.validity].merge( | |
| valid_prediction[key + ["track_id"]], | |
| on=key, | |
| how="left", | |
| suffixes=("_gt", "_pred"), | |
| validate="one_to_one", | |
| ) | |
| gt = sorted(joined.track_id_gt.unique()) | |
| pred = sorted(valid_prediction.track_id.unique()) | |
| counts = ( | |
| pd.crosstab(joined.track_id_gt, joined.track_id_pred) | |
| .reindex(index=gt, columns=pred, fill_value=0) | |
| .to_numpy() | |
| ) | |
| mapping = {} | |
| if counts.size: | |
| rows, cols = linear_sum_assignment(-counts) | |
| mapping = {pred[c]: gt[r] for r, c in zip(rows, cols, strict=True)} | |
| correct = joined.track_id_pred.map(mapping).eq(joined.track_id_gt) | |
| switches = fragments = 0 | |
| for _, group in joined.sort_values("frame_index").groupby("track_id_gt"): | |
| ids = group.track_id_pred.tolist() | |
| observed = [i for i in ids if pd.notna(i)] | |
| switches += sum(a != b for a, b in itertools.pairwise(observed)) | |
| fragments += max( | |
| 0, | |
| sum( | |
| pd.notna(v) and (j == 0 or pd.isna(ids[j - 1]) or v != ids[j - 1]) | |
| for j, v in enumerate(ids) | |
| ) | |
| - 1, | |
| ) | |
| extra = len( | |
| valid_prediction.merge(joined[key], on=key, how="left", indicator=True).query( | |
| '_merge == "left_only"' | |
| ) | |
| ) | |
| return { | |
| "reference_observations": len(joined), | |
| "predicted_observations": len(valid_prediction), | |
| "coverage": float(joined.track_id_pred.notna().mean()), | |
| "correct_observation_rate": float(correct.mean()), | |
| "identity_switches": int(switches), | |
| "fragmentations": int(fragments), | |
| "extra_observations": int(extra), | |
| } | |
| def reference_residual_scores(tracks, reference_cloud, *, physical=True): | |
| """Identity-sensitive distance from the fixed first-frame reference. | |
| This intentionally simple consistency diagnostic includes genuine tissue motion. | |
| It is not an independent deformation model or a certificate of correctness. | |
| Reference cloud must come from an independently trusted reference observation. | |
| """ | |
| cols = [f"{a}_um" for a in "xyz"] if physical else XYZ | |
| ref = reference_cloud.set_index("track_id") | |
| if ref.index.duplicated().any(): | |
| raise ValueError("Reference identities must be unique") | |
| a = tracks[cols].to_numpy(dtype=float) | |
| b = ref.reindex(tracks.track_id)[cols].to_numpy(dtype=float) | |
| scores = np.linalg.norm(a - b, axis=1) | |
| scores[~tracks.validity.to_numpy()] = np.inf | |
| # Unseen fragment IDs are unsupported; preserve absence rather than fit a new anatomy. | |
| scores[np.isnan(scores)] = np.inf | |
| return scores | |
| def verifier_metrics(scores, is_error, *, threshold): | |
| """Fixed-population selective risk/coverage; ties enter a risk curve together. | |
| False certification = accepted errors / all labeled errors. Selective risk = | |
| accepted errors / accepted observations. Unsupported scores abstain. Threshold | |
| must be specified before evaluation; this function does not select it. | |
| """ | |
| scores = np.asarray(scores, dtype=float) | |
| labels = np.asarray(is_error, dtype=bool) | |
| if len(scores) != len(labels) or not len(scores) or np.isnan(scores).any(): | |
| raise ValueError("Scores and labels must be aligned, nonempty, and non-NaN") | |
| if np.isnan(threshold): | |
| raise ValueError("Threshold cannot be NaN") | |
| accept = np.isfinite(scores) & (scores <= threshold) | |
| # Infinity denotes abstention; map it above all finite scores for ranking metrics. | |
| finite = scores[np.isfinite(scores)] | |
| ranked = np.where(np.isfinite(scores), scores, (finite.max() + 1 if len(finite) else 1)) | |
| both = labels.any() and not labels.all() | |
| curve = [] | |
| order = np.flatnonzero(np.isfinite(scores)) | |
| order = order[np.argsort(scores[order], kind="stable")] | |
| if len(order): | |
| ordered_scores = scores[order] | |
| cumulative_errors = np.cumsum(labels[order]) | |
| ends = np.r_[np.flatnonzero(np.diff(ordered_scores) != 0), len(order) - 1] | |
| curve = [ | |
| { | |
| "threshold": float(ordered_scores[i]), | |
| "coverage": float((i + 1) / len(scores)), | |
| "risk": float(cumulative_errors[i] / (i + 1)), | |
| } | |
| for i in ends | |
| ] | |
| return { | |
| "observations": len(scores), | |
| "error_prevalence": float(labels.mean()), | |
| "auroc": float(roc_auc_score(labels, ranked)) if both else None, | |
| "auprc": float(average_precision_score(labels, ranked)) if both else None, | |
| "false_certification_rate": float((accept & labels).sum() / labels.sum()) | |
| if labels.any() | |
| else None, | |
| "certified_coverage": float(accept.mean()), | |
| "selective_risk": float(labels[accept].mean()) if accept.any() else None, | |
| "correct_certified_coverage": float((accept & ~labels).mean()), | |
| "threshold": float(threshold), | |
| "risk_coverage": curve, | |
| } | |
| def oracle_association_baseline(detections, *, method="hungarian", physical=True): | |
| """Untrained Euclidean nearest-neighbor or bipartite association on fixed detections.""" | |
| if method not in {"nearest_neighbor", "hungarian"}: | |
| raise ValueError(method) | |
| cols = [f"{a}_um" for a in "xyz"] if physical else XYZ | |
| output = [] | |
| previous = None | |
| next_id = 0 | |
| for frame, points in detections.sort_values("frame_index").groupby("frame_index"): | |
| points = points.copy().reset_index(drop=True) | |
| xyz = points[cols].to_numpy(dtype=float) | |
| if not np.isfinite(xyz).all(): | |
| raise ValueError("Baseline requires valid coordinates in the selected units") | |
| ids = [None] * len(points) | |
| if previous is not None: | |
| old_xyz, old_ids = previous | |
| distance = np.linalg.norm(old_xyz[:, None] - xyz[None], axis=2) | |
| if method == "hungarian": | |
| rows, columns = linear_sum_assignment(distance) | |
| else: | |
| pairs = sorted((distance[i, j], i, j) for i, j in enumerate(distance.argmin(1))) | |
| chosen = set() | |
| matches = [] | |
| for _, i, j in pairs: | |
| if j not in chosen: | |
| matches.append((i, j)) | |
| chosen.add(j) | |
| rows = [p[0] for p in matches] | |
| columns = [p[1] for p in matches] | |
| for i, j in zip(rows, columns, strict=True): | |
| ids[j] = old_ids[i] | |
| for i, identity in enumerate(ids): | |
| if identity is None: | |
| ids[i] = f"baseline:{next_id}" | |
| next_id += 1 | |
| points["track_id"] = ids | |
| points["annotation_type"] = "algorithm_prediction" | |
| points["label_set"] = "prediction" | |
| output.append(points) | |
| previous = xyz, ids | |
| return pd.concat(output, ignore_index=True) | |