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Tiny object detection is becoming one of the most challenging tasks in computer vision because of the limited object size and lack of information. The label assignment strategy is a key factor affecting the accuracy of object detection.…

Computer Vision and Pattern Recognition · Computer Science 2024-07-29 Shuohao Shi , Qiang Fang , Tong Zhao , Xin Xu

Wasserstein distance, which measures the discrepancy between distributions, shows efficacy in various types of natural language processing (NLP) and computer vision (CV) applications. One of the challenges in estimating Wasserstein distance…

Machine Learning · Statistics 2022-06-27 Makoto Yamada , Yuki Takezawa , Ryoma Sato , Han Bao , Zornitsa Kozareva , Sujith Ravi

Infrared small target detection (IRSTD) poses a significant challenge in the field of computer vision. While substantial efforts have been made over the past two decades to improve the detection capabilities of IRSTD algorithms, there has…

Computer Vision and Pattern Recognition · Computer Science 2024-08-27 Saed Moradi , Alireza Memarmoghadam , Payman Moallem , Mohamad Farzan Sabahi

The superior performance of object detectors is often established under the condition that the test samples are in the same distribution as the training data. However, in many practical applications, out-of-distribution (OOD) instances are…

Computer Vision and Pattern Recognition · Computer Science 2023-10-31 Tianhao Zhang , Shenglin Wang , Nidhal Bouaynaya , Radu Calinescu , Lyudmila Mihaylova

Wasserstein Discriminant Analysis (WDA) is a new supervised method that can improve classification of high-dimensional data by computing a suitable linear map onto a lower dimensional subspace. Following the blueprint of classical Linear…

Machine Learning · Statistics 2018-09-21 Rémi Flamary , Marco Cuturi , Nicolas Courty , Alain Rakotomamonjy

In recent years, object detection has experienced impressive progress. Despite these improvements, there is still a significant gap in the performance between the detection of small and large objects. We analyze the current state-of-the-art…

Computer Vision and Pattern Recognition · Computer Science 2019-02-21 Mate Kisantal , Zbigniew Wojna , Jakub Murawski , Jacek Naruniec , Kyunghyun Cho

This paper addresses the significant challenge in open-set object detection (OSOD): the tendency of state-of-the-art detectors to erroneously classify unknown objects as known categories with high confidence. We present a novel approach…

Computer Vision and Pattern Recognition · Computer Science 2024-01-22 Prakash Mallick , Feras Dayoub , Jamie Sherrah

Optimal Transport (OT) metrics allow for defining discrepancies between two probability measures. Wasserstein distance is for longer the celebrated OT-distance frequently-used in the literature, which seeks probability distributions to be…

Machine Learning · Computer Science 2021-10-14 Mokhtar Z. Alaya , Gilles Gasso , Maxime Berar , Alain Rakotomamonjy

Current anchor-free object detectors are quite simple and effective yet lack accurate label assignment methods, which limits their potential in competing with classic anchor-based models that are supported by well-designed assignment…

Computer Vision and Pattern Recognition · Computer Science 2021-04-30 Jiachen Li , Bowen Cheng , Rogerio Feris , Jinjun Xiong , Thomas S. Huang , Wen-Mei Hwu , Humphrey Shi

Existing approaches to depth or disparity estimation output a distribution over a set of pre-defined discrete values. This leads to inaccurate results when the true depth or disparity does not match any of these values. The fact that this…

Computer Vision and Pattern Recognition · Computer Science 2021-03-30 Divyansh Garg , Yan Wang , Bharath Hariharan , Mark Campbell , Kilian Q. Weinberger , Wei-Lun Chao

Confluence is a novel non-Intersection over Union (IoU) alternative to Non-Maxima Suppression (NMS) in bounding box post-processing in object detection. It overcomes the inherent limitations of IoU-based NMS variants to provide a more…

Computer Vision and Pattern Recognition · Computer Science 2022-08-04 Andrew Shepley , Greg Falzon , Paul Kwan

The Quasi Manhattan Wasserstein Distance (QMWD) is a metric designed to quantify the dissimilarity between two matrices by combining elements of the Wasserstein Distance with specific transformations. It offers improved time and space…

Machine Learning · Computer Science 2023-10-20 Evan Unit Lim

This paper uses sample data to study the problem of comparing populations on finite-dimensional parallelizable Riemannian manifolds and more general trivial vector bundles. Utilizing triviality, our framework represents populations as…

Methodology · Statistics 2023-11-29 Michael Wilson , Tom Needham , Chiwoo Park , Suprateek Kundu , Anuj Srivastava

The accuracy of object detectors and trackers is most commonly evaluated by the Intersection over Union (IoU) criterion. To date, most approaches are restricted to axis-aligned or oriented boxes and, as a consequence, many datasets are only…

Computer Vision and Pattern Recognition · Computer Science 2018-07-27 Tobias Bottger , Patrick Follmann , Michael Fauser

Wasserstein distance is a key metric for quantifying data divergence from a distributional perspective. However, its application in privacy-sensitive environments, where direct sharing of raw data is prohibited, presents significant…

Machine Learning · Computer Science 2025-02-04 Wenqian Li , Yan Pang

We introduce the observable Wasserstein distance, a framework for deriving lower bounds on the Wasserstein distance between probability measures on Polish metric spaces, designed to bypass the computational intractability of exact optimal…

Metric Geometry · Mathematics 2026-05-12 Edivaldo Lopes dos Santos , Leandro Vicente Mauri , Washington Mio , Tom Needham

Understanding proper distance measures between distributions is at the core of several learning tasks such as generative models, domain adaptation, clustering, etc. In this work, we focus on mixture distributions that arise naturally in…

Machine Learning · Computer Science 2019-10-30 Yogesh Balaji , Rama Chellappa , Soheil Feizi

Bounding box regression is the crucial step in object detection. In existing methods, while $\ell_n$-norm loss is widely adopted for bounding box regression, it is not tailored to the evaluation metric, i.e., Intersection over Union (IoU).…

Computer Vision and Pattern Recognition · Computer Science 2019-11-20 Zhaohui Zheng , Ping Wang , Wei Liu , Jinze Li , Rongguang Ye , Dongwei Ren

We introduce a modified Benamou-Brenier type approach leading to a Wasserstein type distance that allows global invariance, specifically, isometries, and we show that the problem can be summarized to orthogonal transformations. This…

Machine Learning · Statistics 2025-03-24 Kevine Meugang Toukam

Differing from the well-developed horizontal object detection area whereby the computing-friendly IoU based loss is readily adopted and well fits with the detection metrics. In contrast, rotation detectors often involve a more complicated…

Computer Vision and Pattern Recognition · Computer Science 2023-02-07 Xue Yang , Yue Zhou , Gefan Zhang , Jirui Yang , Wentao Wang , Junchi Yan , Xiaopeng Zhang , Qi Tian