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In many scenarios of practical interest, labeled data from a target distribution are scarce while labeled data from a related source distribution are abundant. One particular setting of interest arises when the target label space is a…

Machine Learning · Computer Science 2025-06-04 Jayadev Naram , Fredrik Hellström , Ziming Wang , Rebecka Jörnsten , Giuseppe Durisi

The performance of a machine learning model degrades when it is applied to data from a similar but different domain than the data it has initially been trained on. To mitigate this domain shift problem, domain adaptation (DA) techniques…

Machine Learning · Computer Science 2024-10-08 Felix Ott , David Rügamer , Lucas Heublein , Bernd Bischl , Christopher Mutschler

The power and flexibility of Optimal Transport (OT) have pervaded a wide spectrum of problems, including recent Machine Learning challenges such as unsupervised domain adaptation. Its essence of quantitatively relating two probability…

Image and Video Processing · Electrical Eng. & Systems 2023-04-18 Bo Jiang , Hamid Krim , Tianfu Wu , Derya Cansever

The problem of domain adaptation on an unlabeled target dataset using knowledge from multiple labelled source datasets is becoming increasingly important. A key challenge is to design an approach that overcomes the covariate and target…

Machine Learning · Computer Science 2022-06-03 Rosanna Turrisi , Rémi Flamary , Alain Rakotomamonjy , Massimiliano Pontil

Universal Domain Adaptation (UniDA) aims to transfer knowledge from a source domain to a target domain without any constraints on label sets. Since both domains may hold private classes, identifying target common samples for domain…

Computer Vision and Pattern Recognition · Computer Science 2023-01-12 Wanxing Chang , Ye Shi , Hoang Duong Tuan , Jingya Wang

Partial domain adaptation (PDA) problem requires aligning cross-domain samples while distinguishing the outlier classes for accurate knowledge transfer. The widely used weighting framework tries to address the outlier classes by introducing…

Machine Learning · Computer Science 2025-06-11 Zi-Ying Chen , Chuan-Xian Ren , Hong Yan

Recently, linear regression models incorporating an optimal transport (OT) loss have been explored for applications such as supervised unmixing of spectra, music transcription, and mass spectrometry. However, these task-specific approaches…

Optimal Transport (OT) has established itself as a robust framework for quantifying differences between distributions, with applications that span fields such as machine learning, data science, and computer vision. This paper offers a…

Data Structures and Algorithms · Computer Science 2025-01-14 Sina Moradi

Multi-source Domain Adaptation (MDA) seeks to adapt models trained on data from multiple labeled source domains to perform effectively on an unlabeled target domain data, assuming access to sources data. To address the challenges of model…

Machine Learning · Computer Science 2024-08-20 Omar Ghannou , Younès Bennani

Optimal transport (OT) theory has attracted much attention in machine learning and signal processing applications. OT defines a notion of distance between probability distributions of source and target data points. A crucial factor that…

Machine Learning · Computer Science 2024-09-17 Pratik Jawanpuria , Dai Shi , Bamdev Mishra , Junbin Gao

Neural network-based optimal transport (OT) is a recent and fruitful direction in the generative modeling community. It finds its applications in various fields such as domain translation, image super-resolution, computational biology and…

Machine Learning · Computer Science 2026-02-25 Roman Tarasov , Petr Mokrov , Milena Gazdieva , Evgeny Burnaev , Alexander Korotin

Optimal Transport (OT) problem aims to find a transport plan that bridges two distributions while minimizing a given cost function. OT theory has been widely utilized in generative modeling. In the beginning, OT distance has been used as a…

Machine Learning · Computer Science 2024-03-08 Jaemoo Choi , Jaewoong Choi , Myungjoo Kang

Optimal Transport (OT) theory has seen an increasing amount of attention from the computer science community due to its potency and relevance in modeling and machine learning. It introduces means that serve as powerful ways to compare…

Machine Learning · Computer Science 2021-06-04 Luis Caicedo Torres , Luiz Manella Pereira , M. Hadi Amini

We investigate the problem of sampling from posterior distributions with intractable normalizing constants in Bayesian inference. Our solution is a new generative modeling approach based on optimal transport (OT) that learns a deterministic…

Computation · Statistics 2026-03-03 Ke Li , Wei Han , Yuexi Wang , Yun Yang

Optimal transport (OT) is a powerful geometric tool used to compare and align probability measures following the least effort principle. Despite its widespread use in machine learning (ML), OT problem still bears its computational burden,…

Machine Learning · Computer Science 2023-08-14 Oliver Struckmeier , Ievgen Redko , Anton Mallasto , Karol Arndt , Markus Heinonen , Ville Kyrki

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

Domain adaptation (DA) aims to enable a learning model trained from a source domain to generalize well on a target domain, despite the mismatch of data distributions between the two domains. State-of-the-art DA methods have so far focused…

Computer Vision and Pattern Recognition · Computer Science 2021-01-13 Lingkun Luo , Liming Chen , Shiqiang Hu

We address the problem of unsupervised domain adaptation under the setting of generalized target shift (joint class-conditional and label shifts). For this framework, we theoretically show that, for good generalization, it is necessary to…

Machine Learning · Computer Science 2021-10-20 Alain Rakotomamonjy , Rémi Flamary , Gilles Gasso , Mokhtar Z. Alaya , Maxime Berar , Nicolas Courty

The optimal transport (OT) map offers the most economical way to transfer one probability measure distribution to another. Classical OT theory does not involve a discussion of preserving topological connections and orientations in…

General Topology · Mathematics 2025-07-03 Yuping Lv , Qi Zhao , Xuebin Chang , Wei Zeng

This thesis examines self-attention training through the lens of Optimal Transport (OT) and develops an OT-based alternative for tabular classification. The study tracks intermediate projections of the self-attention layer during training…

Machine Learning · Statistics 2026-02-19 Alessandro Quadrio , Antonio Candelieri