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Multi-Object Tracking (MOT) has been notoriously difficult to evaluate. Previous metrics overemphasize the importance of either detection or association. To address this, we present a novel MOT evaluation metric, HOTA (Higher Order Tracking…

Computer Vision and Pattern Recognition · Computer Science 2020-10-09 Jonathon Luiten , Aljosa Osep , Patrick Dendorfer , Philip Torr , Andreas Geiger , Laura Leal-Taixe , Bastian Leibe

This paper addresses an Optimal Transport (OT)-based efficient multi-robot exploration problem, considering the energy constraints of a multi-robot system. The efficiency in this problem implies how a team of robots (agents) covers a given…

Systems and Control · Electrical Eng. & Systems 2020-09-03 Rabiul Hasan Kabir , Kooktae Lee

Weakly-supervised image segmentation has recently attracted increasing research attentions, aiming to avoid the expensive pixel-wise labeling. In this paper, we present an effective method, namely Point2Mask, to achieve high-quality…

Computer Vision and Pattern Recognition · Computer Science 2023-08-04 Wentong Li , Yuqian Yuan , Song Wang , Jianke Zhu , Jianshu Li , Jian Liu , Lei Zhang

Current LLM alignment techniques use pairwise human preferences at a sample level, and as such, they do not imply an alignment on the distributional level. We propose in this paper Alignment via Optimal Transport (AOT), a novel method for…

Data association is a crucial component for any multiple object tracking (MOT) method that follows the tracking-by-detection paradigm. To generate complete trajectories such methods employ a data association process to establish assignments…

Computer Vision and Pattern Recognition · Computer Science 2025-05-09 Athena Psalta , Vasileios Tsironis , Konstantinos Karantzalos

Network alignment, which aims to find node correspondence across different networks, is the cornerstone of various downstream multi-network and Web mining tasks. Most of the embedding-based methods indirectly model cross-network node…

Artificial Intelligence · Computer Science 2025-02-27 Qi Yu , Zhichen Zeng , Yuchen Yan , Lei Ying , R. Srikant , Hanghang Tong

We study unsupervised generative modeling in terms of the optimal transport (OT) problem between true (but unknown) data distribution $P_X$ and the latent variable model distribution $P_G$. We show that the OT problem can be equivalently…

Optimal transport (OT) aims to find a map $T$ that transports mass from one probability measure to another while minimizing a cost function. Recently, neural OT solvers have gained popularity in high dimensional biological applications such…

Machine Learning · Computer Science 2025-05-20 Peter Chen , Yue Xie , Qingpeng Zhang

Separating sources is a common challenge in applications such as speech enhancement and telecommunications, where distinguishing between overlapping sounds helps reduce interference and improve signal quality. Additionally, in multichannel…

Audio and Speech Processing · Electrical Eng. & Systems 2025-03-25 Linda Fabiani , Sebastian J. Schlecht , Isabel Haasler , Filip Elvander

Detecting anomalies in datasets is a longstanding problem in machine learning. In this context, anomalies are defined as a sample that significantly deviates from the remaining data. Meanwhile, optimal transport (OT) is a field of…

Machine Learning · Statistics 2025-07-09 Eduardo Fernandes Montesuma , Adel El Habazi , Fred Ngole Mboula

Transportation cost is an attractive similarity measure between probability distributions due to its many useful theoretical properties. However, solving optimal transport exactly can be prohibitively expensive. Therefore, there has been…

Machine Learning · Computer Science 2019-11-04 Nathaniel Lahn , Deepika Mulchandani , Sharath Raghvendra

An optimal transport (OT) problem seeks to find the cheapest mapping between two distributions with equal total density, given the cost of transporting density from one place to another. Unbalanced OT allows for different total density in…

Optimization and Control · Mathematics 2025-07-28 Jacob J. M. Francis , Colin J. Cotter , Marion P. Mittermaier

We demonstrate the effectiveness of one of the many multi-tracer analyses enabled by Optimal Transport (OT) reconstruction. Leveraging a semi-discrete OT algorithm, we determine the displacements between initial and observed positions of…

Cosmology and Nongalactic Astrophysics · Physics 2024-03-19 Farnik Nikakhtar , Ravi K. Sheth , Nikhil Padmanabhan , Bruno Lévy , Roya Mohayaee

Optimal transport (OT) has gained popularity due to its various applications in fields such as machine learning, statistics, and signal processing. However, the balanced mass requirement limits its performance in practical problems. To…

Machine Learning · Computer Science 2024-04-24 Yikun Bai , Ivan Medri , Rocio Diaz Martin , Rana Muhammad Shahroz Khan , Soheil Kolouri

Active learning (AL) for real-world object detection faces computational and reliability challenges that limit practical deployment. Developing new AL methods requires training multiple detectors across iterations to compare against…

Computer Vision and Pattern Recognition · Computer Science 2025-08-28 Moussa Kassem Sbeyti , Nadja Klein , Michelle Karg , Christian Wirth , Sahin Albayrak

In this paper, we aim to improve the performance of a deep learning model towards image classification tasks, proposing a novel anchor-based training methodology, named \textit{Online Anchor-based Training} (OAT). The OAT method, guided by…

Computer Vision and Pattern Recognition · Computer Science 2024-06-19 Maria Tzelepi , Vasileios Mezaris

We introduce a novel neural network-based algorithm to compute optimal transport (OT) plans for general cost functionals. In contrast to common Euclidean costs, i.e., $\ell^1$ or $\ell^2$, such functionals provide more flexibility and allow…

Machine Learning · Computer Science 2024-05-31 Arip Asadulaev , Alexander Korotin , Vage Egiazarian , Petr Mokrov , Evgeny Burnaev

Traffic assignment (TA) is crucial in optimizing transportation systems and consists in efficiently assigning routes to a collection of trips. Existing TA algorithms often do not adequately consider real-time traffic conditions, resulting…

Multiagent Systems · Computer Science 2024-01-23 Giuliano Cornacchia , Mirco Nanni , Luca Pappalardo

In this paper, we propose to tackle the problem of reducing discrepancies between multiple domains referred to as multi-source domain adaptation and consider it under the target shift assumption: in all domains we aim to solve a…

Machine Learning · Statistics 2019-03-15 Ievgen Redko , Nicolas Courty , Rémi Flamary , Devis Tuia

Optimal transport (OT) provides effective tools for comparing and mapping probability measures. We propose to leverage the flexibility of neural networks to learn an approximate optimal transport map. More precisely, we present a new and…

Machine Learning · Computer Science 2022-07-06 Florentin Coeurdoux , Nicolas Dobigeon , Pierre Chainais
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