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Optimal transport (OT) has become a widely used tool in the machine learning field to measure the discrepancy between probability distributions. For instance, OT is a popular loss function that quantifies the discrepancy between an…

Machine Learning · Computer Science 2022-12-27 Shintaro Nakamura , Han Bao , Masashi Sugiyama

Optimal transport (OT) is a framework that can guide the design of efficient resource allocation strategies in a network of multiple sources and targets. This paper applies discrete OT to a swarm of UAVs in a novel way to achieve…

Multiagent Systems · Computer Science 2022-12-01 Jason Hughes , Dominic Larkin , Charles O'Donnell , Christopher Korpela

This paper concerns the application of techniques from optimal transport (OT) to mean field control, in which the probability measures of interest in OT correspond to empirical distributions associated with a large collection of controlled…

Optimization and Control · Mathematics 2025-06-23 Thomas Le Corre , Ana Busic , Sean Meyn

We present a 2-step optimal transport approach that performs a mapping from a source distribution to a target distribution. Here, the target has the particularity to present new classes not present in the source domain. The first step of…

Machine Learning · Computer Science 2020-10-05 Marwa Kechaou , Romain Hérault , Mokhtar Z. Alaya , Gilles Gasso

With the widespread application of optimal transport (OT), its calculation becomes essential, and various algorithms have emerged. However, the existing methods either have low efficiency or cannot represent discontinuous maps. A novel…

Computer Vision and Pattern Recognition · Computer Science 2023-11-14 Zezeng Li , Shenghao Li , Lianbao Jin , Na Lei , Zhongxuan Luo

Optimal transport (OT) is attracting increasing attention in machine learning. It aims to transport a source distribution to a target one at minimal cost. In its vanilla form, the source and target distributions are predetermined, which…

Machine Learning · Computer Science 2024-01-23 Liangliang Shi , Zhaoqi Shen , Junchi Yan

The goal of optimal transport (OT) is to find optimal assignments or matchings between data sets which minimize the total cost for a given cost function. However, sometimes the cost function is unknown but we have access to (parts of) the…

Optimization and Control · Mathematics 2026-05-28 Alberto González-Sanz , Michel Groppe , Axel Munk

Reward specification is one of the most tricky problems in Reinforcement Learning, which usually requires tedious hand engineering in practice. One promising approach to tackle this challenge is to adopt existing expert video demonstrations…

Artificial Intelligence · Computer Science 2024-11-05 Yuwei Fu , Haichao Zhang , Di Wu , Wei Xu , Benoit Boulet

With the emergence of transformer-based architectures and large language models (LLMs), the accuracy of road scene perception has substantially advanced. Nonetheless, current road scene segmentation approaches are predominantly trained on…

Computer Vision and Pattern Recognition · Computer Science 2025-08-19 Mi Zheng , Guanglei Yang , Zitong Huang , Zhenhua Guo , Kevin Han , Wangmeng Zuo

We investigate the problem of efficiently computing optimal transport (OT) distances, which is equivalent to the node-capacitated minimum cost maximum flow problem in a bipartite graph. We compare runtimes in computing OT distances on data…

Data Structures and Algorithms · Computer Science 2020-07-07 Yihe Dong , Yu Gao , Richard Peng , Ilya Razenshteyn , Saurabh Sawlani

Imbalanced data pose challenges for deep learning based classification models. One of the most widely-used approaches for tackling imbalanced data is re-weighting, where training samples are associated with different weights in the loss…

Machine Learning · Computer Science 2022-08-08 Dandan Guo , Zhuo Li , Meixi Zheng , He Zhao , Mingyuan Zhou , Hongyuan Zha

Optimal Transport (OT) naturally arises in many machine learning applications, yet the heavy computational burden limits its wide-spread uses. To address the scalability issue, we propose an implicit generative learning-based framework…

Machine Learning · Computer Science 2019-06-26 Yujia Xie , Minshuo Chen , Haoming Jiang , Tuo Zhao , Hongyuan Zha

Multimodal Entity Linking (MEL) aims to link ambiguous mentions in multimodal contexts to entities in a multimodal knowledge graph. A pivotal challenge is to fully leverage multi-element correlations between mentions and entities to bridge…

Computation and Language · Computer Science 2024-06-06 Zefeng Zhang , Jiawei Sheng , Chuang Zhang , Yunzhi Liang , Wenyuan Zhang , Siqi Wang , Tingwen Liu

In this paper, we tackle the transductive semi-supervised learning problem that aims to obtain label predictions for the given unlabeled data points according to Vapnik's principle. Our proposed approach is based on optimal transport, a…

Machine Learning · Computer Science 2021-10-05 Mourad El Hamri , Younès Bennani , Issam Falih

Optimal Transport (OT) is a resource allocation problem with applications in biology, data science, economics and statistics, among others. In some of the applications, practitioners have access to samples which approximate the continuous…

Optimal Transport (OT) is a mathematical framework that first emerged in the eighteenth century and has led to a plethora of methods for answering many theoretical and applied questions. The last decade has been a witness to the remarkable…

Machine Learning · Computer Science 2024-03-25 Abdelwahed Khamis , Russell Tsuchida , Mohamed Tarek , Vivien Rolland , Lars Petersson

Data association is a fundamental component of effective multi-object tracking. Current approaches to data-association tend to frame this as an assignment problem relying on gating and distance-based cost matrices, or offset the challenge…

Computer Vision and Pattern Recognition · Computer Science 2021-05-04 Michael Burke , Subramanian Ramamoorthy

Optimal transport is a machine learning problem with applications including distribution comparison, feature selection, and generative adversarial networks. In this paper, we propose feature-robust optimal transport (FROT) for…

Open-vocabulary semantic segmentation (OVSS) entails assigning semantic labels to each pixel in an image using textual descriptions, typically leveraging world models such as CLIP. To enhance out-of-domain generalization, we propose Cost…

Computer Vision and Pattern Recognition · Computer Science 2025-06-05 Aditya Gandhamal , Aniruddh Sikdar , Suresh Sundaram

We study the use of amortized optimization to predict optimal transport (OT) maps from the input measures, which we call Meta OT. This helps repeatedly solve similar OT problems between different measures by leveraging the knowledge and…

Machine Learning · Computer Science 2023-06-06 Brandon Amos , Samuel Cohen , Giulia Luise , Ievgen Redko