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We present a new approach for Neural Optimal Transport (NOT) training procedure, capable of accurately and efficiently estimating optimal transportation plan via specific regularization on dual Kantorovich potentials. The main bottleneck of…

Machine Learning · Computer Science 2024-10-21 Nazar Buzun , Maksim Bobrin , Dmitry V. Dylov

Entropic optimal transport (EOT) in continuous spaces with quadratic cost is a classical tool for solving the domain translation problem. In practice, recent approaches optimize a weak dual EOT objective depending on a single potential, but…

Machine Learning · Computer Science 2026-02-03 Roman Dyachenko , Nikita Gushchin , Kirill Sokolov , Petr Mokrov , Evgeny Burnaev , Alexander Korotin

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

Domain adaptation aims to transfer knowledge of labeled instances obtained from a source domain to a target domain to fill the gap between the domains. Most domain adaptation methods assume that the source and target domains have the same…

Machine Learning · Computer Science 2022-09-13 Toshimitsu Aritake , Hideitsu Hino

This paper explores transfer learning in heterogeneous multi-source environments with distributional divergence between target and auxiliary domains. To address challenges in statistical bias and computational efficiency, we propose a…

Machine Learning · Statistics 2025-04-08 Chenqi Gong , Hu Yang

In many unpaired image domain translation problems, e.g., style transfer or super-resolution, it is important to keep the translated image similar to its respective input image. We propose the extremal transport (ET) which is a mathematical…

Machine Learning · Computer Science 2023-11-03 Milena Gazdieva , Alexander Korotin , Daniil Selikhanovych , Evgeny Burnaev

Optimal Transport is a useful metric to compare probability distributions and to compute a pairing given a ground cost. Its entropic regularization variant (eOT) is crucial to have fast algorithms and reflect fuzzy/noisy matchings. This…

Statistics Theory · Mathematics 2024-03-12 Francisco Andrade , Gabriel Peyre , Clarice Poon

In this paper, we address the problem of unsupervised Domain Adaptation. The need for such an adaptation arises when the distribution of the target data differs from that which is used to develop the model and the ground truth information…

Machine Learning · Computer Science 2022-10-04 Siddharth Roheda , Ashkan Panahi , Hamid Krim

This paper presents a novel discriminator-constrained optimal transport network (DOTN) that performs unsupervised domain adaptation for speech enhancement (SE), which is an essential regression task in speech processing. The DOTN aims to…

Sound · Computer Science 2021-11-12 Hsin-Yi Lin , Huan-Hsin Tseng , Xugang Lu , Yu Tsao

Transfer learning across heterogeneous data distributions (a.k.a. domains) and distinct tasks is a more general and challenging problem than conventional transfer learning, where either domains or tasks are assumed to be the same. While…

Machine Learning · Computer Science 2021-03-26 Yang Tan , Yang Li , Shao-Lun Huang

Gradual domain adaptation (GDA) aims to mitigate domain shift by progressively adapting models from the source domain to the target domain via intermediate domains. However, real intermediate domains are often unavailable or ineffective,…

Machine Learning · Computer Science 2026-02-03 Zhichao Chen , Zhan Zhuang , Yunfei Teng , Hao Wang , Fangyikang Wang , Zhengnan Li , Tianqiao Liu , Haoxuan Li , Zhouchen Lin

We propose a novel neural algorithm for the fundamental problem of computing the entropic optimal transport (EOT) plan between continuous probability distributions which are accessible by samples. Our algorithm is based on the saddle point…

Machine Learning · Computer Science 2023-11-02 Nikita Gushchin , Alexander Kolesov , Alexander Korotin , Dmitry Vetrov , Evgeny Burnaev

Visual domain adaptation aims to learn discriminative and domain-invariant representation for an unlabeled target domain by leveraging knowledge from a labeled source domain. Partial domain adaptation (PDA) is a general and practical…

Computer Vision and Pattern Recognition · Computer Science 2025-05-06 Yi-Ming Zhai , Chuan-Xian Ren , Hong Yan

Domain Translation is the problem of finding a meaningful correspondence between two domains. Since in a majority of settings paired supervision is not available, much work focuses on Unsupervised Domain Translation (UDT) where data samples…

Machine Learning · Computer Science 2019-06-05 Emmanuel de Bézenac , Ibrahim Ayed , Patrick Gallinari

Given two probability densities on related data spaces, we seek a map pushing one density to the other while satisfying application-dependent constraints. For maps to have utility in a broad application space (including domain translation,…

Machine Learning · Computer Science 2023-04-19 Nishant Panda , Natalie Klein , Dominic Yang , Patrick Gasda , Diane Oyen

Getting deep convolutional neural networks to perform well requires a large amount of training data. When the available labelled data is small, it is often beneficial to use transfer learning to leverage a related larger dataset (source) in…

Machine Learning · Computer Science 2021-10-26 Lukas Hedegaard Morsing , Omar Ali Sheikh-Omar , Alexandros Iosifidis

Machine learning algorithms typically require abundant data under a stationary environment. However, environments are nonstationary in many real-world applications. Critical issues lie in how to effectively adapt models under an…

Machine Learning · Statistics 2020-06-29 Masaaki Takada , Hironori Fujisawa

In computer vision and machine learning for geographic data, out-of-domain generalization is a pervasive challenge, arising from uneven global data coverage and distribution shifts across geographic regions. Though models are frequently…

Machine Learning · Computer Science 2026-04-20 Haoran Zhang , Livia Betti , Konstantin Klemmer , Esther Rolf , David Alvarez-Melis

Optimal transport (OT) serves as a natural framework for comparing probability measures, with applications in statistics, machine learning, and applied mathematics. Alas, statistical estimation and exact computation of the OT distances…

Statistics Theory · Mathematics 2024-05-14 Tao Wang , Ziv Goldfeld

Transfer learning is a recent field of machine learning research that aims to resolve the challenge of dealing with insufficient training data in the domain of interest. This is a particular issue with traditional deep neural networks where…

Computer Vision and Pattern Recognition · Computer Science 2015-12-21 Mohammad Javad Shafiee , Parthipan Siva , Paul Fieguth , Alexander Wong
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