IoUCert: Robustness Verification for Anchor-based Object Detectors

Fuente: arXiv
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Autori principali: Brückner, Benedikt, Mercado, Alejandro J., Zhang, Yanghao, Kouvaros, Panagiotis, Lomuscio, Alessio
Natura: Preprint
Pubblicazione: 2026
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author Brückner, Benedikt
Mercado, Alejandro J.
Zhang, Yanghao
Kouvaros, Panagiotis
Lomuscio, Alessio
author_facet Brückner, Benedikt
Mercado, Alejandro J.
Zhang, Yanghao
Kouvaros, Panagiotis
Lomuscio, Alessio
contents While formal robustness verification has seen significant success in image classification, scaling these guarantees to object detection remains notoriously difficult due to complex non-linear coordinate transformations and Intersection-over-Union (IoU) metrics. We introduce IoUCert, a novel formal verification framework designed specifically to overcome these bottlenecks in foundational anchor-based object detection architectures. Focusing on the object localisation component in single-object settings, we propose a coordinate transformation that enables our algorithm to circumvent precision-degrading relaxations of non-linear box prediction functions. This allows us to optimise bounds directly with respect to the anchor box offsets which enables a novel Interval Bound Propagation method that derives optimal IoU bounds. We demonstrate that our method enables, for the first time, the robustness verification of realistic, anchor-based models including SSD, YOLOv2, and YOLOv3 variants against various input perturbations.
format Preprint
id arxiv_https___arxiv_org_abs_2603_03043
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle IoUCert: Robustness Verification for Anchor-based Object Detectors
Brückner, Benedikt
Mercado, Alejandro J.
Zhang, Yanghao
Kouvaros, Panagiotis
Lomuscio, Alessio
Machine Learning
Artificial Intelligence
Cryptography and Security
Computer Vision and Pattern Recognition
While formal robustness verification has seen significant success in image classification, scaling these guarantees to object detection remains notoriously difficult due to complex non-linear coordinate transformations and Intersection-over-Union (IoU) metrics. We introduce IoUCert, a novel formal verification framework designed specifically to overcome these bottlenecks in foundational anchor-based object detection architectures. Focusing on the object localisation component in single-object settings, we propose a coordinate transformation that enables our algorithm to circumvent precision-degrading relaxations of non-linear box prediction functions. This allows us to optimise bounds directly with respect to the anchor box offsets which enables a novel Interval Bound Propagation method that derives optimal IoU bounds. We demonstrate that our method enables, for the first time, the robustness verification of realistic, anchor-based models including SSD, YOLOv2, and YOLOv3 variants against various input perturbations.
title IoUCert: Robustness Verification for Anchor-based Object Detectors
topic Machine Learning
Artificial Intelligence
Cryptography and Security
Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2603.03043