Gaussian Combined Distance: A Generic Metric for Object Detection

Fuente: arXiv
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Autori principali: Guan, Ziqian, Fu, Xieyi, Huang, Pengjun, Zhang, Hengyuan, Du, Hubin, Liu, Yongtao, Wang, Yinglin, Ma, Qang
Natura: Preprint
Pubblicazione: 2025
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author Guan, Ziqian
Fu, Xieyi
Huang, Pengjun
Zhang, Hengyuan
Du, Hubin
Liu, Yongtao
Wang, Yinglin
Ma, Qang
author_facet Guan, Ziqian
Fu, Xieyi
Huang, Pengjun
Zhang, Hengyuan
Du, Hubin
Liu, Yongtao
Wang, Yinglin
Ma, Qang
contents In object detection, a well-defined similarity metric can significantly enhance model performance. Currently, the IoU-based similarity metric is the most commonly preferred choice for detectors. However, detectors using IoU as a similarity metric often perform poorly when detecting small objects because of their sensitivity to minor positional deviations. To address this issue, recent studies have proposed the Wasserstein Distance as an alternative to IoU for measuring the similarity of Gaussian-distributed bounding boxes. However, we have observed that the Wasserstein Distance lacks scale invariance, which negatively impacts the model's generalization capability. Additionally, when used as a loss function, its independent optimization of the center attributes leads to slow model convergence and unsatisfactory detection precision. To address these challenges, we introduce the Gaussian Combined Distance (GCD). Through analytical examination of GCD and its gradient, we demonstrate that GCD not only possesses scale invariance but also facilitates joint optimization, which enhances model localization performance. Extensive experiments on the AI-TOD-v2 dataset for tiny object detection show that GCD, as a bounding box regression loss function and label assignment metric, achieves state-of-the-art performance across various detectors. We further validated the generalizability of GCD on the MS-COCO-2017 and Visdrone-2019 datasets, where it outperforms the Wasserstein Distance across diverse scales of datasets. Code is available at https://github.com/MArKkwanGuan/mmdet-GCD.
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id arxiv_https___arxiv_org_abs_2510_27649
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Gaussian Combined Distance: A Generic Metric for Object Detection
Guan, Ziqian
Fu, Xieyi
Huang, Pengjun
Zhang, Hengyuan
Du, Hubin
Liu, Yongtao
Wang, Yinglin
Ma, Qang
Computer Vision and Pattern Recognition
In object detection, a well-defined similarity metric can significantly enhance model performance. Currently, the IoU-based similarity metric is the most commonly preferred choice for detectors. However, detectors using IoU as a similarity metric often perform poorly when detecting small objects because of their sensitivity to minor positional deviations. To address this issue, recent studies have proposed the Wasserstein Distance as an alternative to IoU for measuring the similarity of Gaussian-distributed bounding boxes. However, we have observed that the Wasserstein Distance lacks scale invariance, which negatively impacts the model's generalization capability. Additionally, when used as a loss function, its independent optimization of the center attributes leads to slow model convergence and unsatisfactory detection precision. To address these challenges, we introduce the Gaussian Combined Distance (GCD). Through analytical examination of GCD and its gradient, we demonstrate that GCD not only possesses scale invariance but also facilitates joint optimization, which enhances model localization performance. Extensive experiments on the AI-TOD-v2 dataset for tiny object detection show that GCD, as a bounding box regression loss function and label assignment metric, achieves state-of-the-art performance across various detectors. We further validated the generalizability of GCD on the MS-COCO-2017 and Visdrone-2019 datasets, where it outperforms the Wasserstein Distance across diverse scales of datasets. Code is available at https://github.com/MArKkwanGuan/mmdet-GCD.
title Gaussian Combined Distance: A Generic Metric for Object Detection
topic Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2510.27649