Ranking vs. Assignment: The Metric Mismatch in Multi-View Object Association

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Main Authors: Shelukhan, Matvei, Mamedov, Timur, Chukhrov, Aleksandr, Kvanchiani, Karina
Format: Preprint
Published: 2026
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author Shelukhan, Matvei
Mamedov, Timur
Chukhrov, Aleksandr
Kvanchiani, Karina
author_facet Shelukhan, Matvei
Mamedov, Timur
Chukhrov, Aleksandr
Kvanchiani, Karina
contents Multi-view object association is an important computer vision problem that underlies many multi-camera perception tasks. While this task is naturally formulated as a constrained one-to-one matching problem, recent works heavily rely on pairwise ranking metrics like AP and FPR-95 for model evaluation. We highlight a fundamental mismatch between these metrics and the actual assignment objective. Theoretically, we show that AP and FPR-95 can be imperfect even when the assignment is already correct, and that Sinkhorn-based normalization can make them perfect. Conversely, optimal pairwise ranking can still lead to incorrect assignments. We validate this mismatch in practice by using our Sinkhorn-based normalization as a controlled post-processing stress test. We show that optimizing just a few post-processing parameters significantly boosts AP and FPR-95 without corresponding improvements in assignment-level metrics such as ACC and IPAA.
format Preprint
id arxiv_https___arxiv_org_abs_2606_02022
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Ranking vs. Assignment: The Metric Mismatch in Multi-View Object Association
Shelukhan, Matvei
Mamedov, Timur
Chukhrov, Aleksandr
Kvanchiani, Karina
Computer Vision and Pattern Recognition
Artificial Intelligence
Machine Learning
Multi-view object association is an important computer vision problem that underlies many multi-camera perception tasks. While this task is naturally formulated as a constrained one-to-one matching problem, recent works heavily rely on pairwise ranking metrics like AP and FPR-95 for model evaluation. We highlight a fundamental mismatch between these metrics and the actual assignment objective. Theoretically, we show that AP and FPR-95 can be imperfect even when the assignment is already correct, and that Sinkhorn-based normalization can make them perfect. Conversely, optimal pairwise ranking can still lead to incorrect assignments. We validate this mismatch in practice by using our Sinkhorn-based normalization as a controlled post-processing stress test. We show that optimizing just a few post-processing parameters significantly boosts AP and FPR-95 without corresponding improvements in assignment-level metrics such as ACC and IPAA.
title Ranking vs. Assignment: The Metric Mismatch in Multi-View Object Association
topic Computer Vision and Pattern Recognition
Artificial Intelligence
Machine Learning
url https://arxiv.org/abs/2606.02022