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Localization Recall Precision (LRP)

uq_detr.lrp(detections, ground_truths, ...)

LRP combines false positives, false negatives, and localization error into a single performance score.

Definition

\[ \text{LRP} = \frac{\text{FP} + \text{FN} + \sum_{i \in \text{TP}} \frac{1 - \text{IoU}_i}{1 - \tau}}{\text{TP} + \text{FP} + \text{FN}} \]

where \(\tau\) is the IoU threshold and the localization error term penalizes TPs that are not perfectly localized.

LRP = 0 means perfect detection (all objects found, no false positives, perfect localization). LRP = 1 means complete failure.

Usage

import uq_detr

result = uq_detr.lrp(detections, ground_truths, iou_threshold=0.5)
print(result.score)

Parameters

Parameter Type Default Description
detections list[Detections] required Predictions per image
ground_truths list[GroundTruth] required Annotations per image
iou_threshold float 0.5 IoU threshold for TP assignment

Note

LRP uses COCO-style exclusive greedy matching internally (detections sorted by descending confidence, each GT matched at most once).

References

  • Oksuz et al., "Localization Recall Precision (LRP): A New Performance Metric for Object Detection", ECCV 2018.