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Optimal transport distances have become a classic tool to compare probability distributions and have found many applications in machine learning. Yet, despite recent algorithmic developments, their complexity prevents their direct use on…

Machine Learning · Statistics 2021-01-07 Kilian Fatras , Younes Zine , Szymon Majewski , Rémi Flamary , Rémi Gribonval , Nicolas Courty

Optimal transport distances are powerful tools to compare probability distributions and have found many applications in machine learning. Yet their algorithmic complexity prevents their direct use on large scale datasets. To overcome this…

Machine Learning · Statistics 2021-10-14 Kilian Fatras , Younes Zine , Rémi Flamary , Rémi Gribonval , Nicolas Courty

Mini-batch optimal transport (m-OT) has been successfully used in practical applications that involve probability measures with a very high number of supports. The m-OT solves several smaller optimal transport problems and then returns the…

Machine Learning · Statistics 2022-06-08 Khai Nguyen , Dang Nguyen , Quoc Nguyen , Tung Pham , Hung Bui , Dinh Phung , Trung Le , Nhat Ho

Machine learning systems operate under the assumption that training and test data are sampled from a fixed probability distribution. However, this assumptions is rarely verified in practice, as the conditions upon which data was acquired…

Machine Learning · Computer Science 2025-07-09 Eduardo Fernandes Montesuma , Fred Maurice Ngolè Mboula , Antoine Souloumiac

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

In this paper, we propose a new feature selection method for unsupervised domain adaptation based on the emerging optimal transportation theory. We build upon a recent theoretical analysis of optimal transport in domain adaptation and show…

Machine Learning · Computer Science 2018-06-29 Léo Gautheron , Ievgen Redko , Carole Lartizien

Current machine learning systems are brittle in the face of distribution shifts (DS), where the target distribution that the system is tested on differs from the source distribution used to train the system. This problem of robustness to DS…

Machine Learning · Computer Science 2025-03-12 Okan Koç , Alexander Soen , Chao-Kai Chiang , Masashi Sugiyama

Domain adaptation from one data space (or domain) to another is one of the most challenging tasks of modern data analytics. If the adaptation is done correctly, models built on a specific data space become more robust when confronted to…

Machine Learning · Computer Science 2016-06-23 Nicolas Courty , Rémi Flamary , Devis Tuia , Alain Rakotomamonjy

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

Optimal transport (OT) compares probability distributions by computing a meaningful alignment between their samples. CO-optimal transport (COOT) takes this comparison further by inferring an alignment between features as well. While this…

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

Unsupervised domain adaptation is one of the challenging problems in computer vision. This paper presents a novel approach to unsupervised domain adaptations based on the optimal transport-based distance. Our approach allows aligning target…

Computer Vision and Pattern Recognition · Computer Science 2022-05-24 Thanh-Dat Truong , Naga Venkata Sai Raviteja Chappa , Xuan Bac Nguyen , Ngan Le , Ashley Dowling , Khoa Luu

To remedy the drawbacks of full-mass or fixed-mass constraints in classical optimal transport, we propose adaptive optimal transport which is distinctive from the classical optimal transport in its ability of adaptive-mass preserving. It…

Machine Learning · Computer Science 2025-03-10 Pei Yang , Qi Tan , Guihua Wen

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

Solving large scale entropic optimal transport problems with the Sinkhorn algorithm remains challenging, and domain decomposition has been shown to be an efficient strategy for problems on large grids. Unbalanced optimal transport is a…

Optimization and Control · Mathematics 2026-01-26 Ismael Medina , The Sang Nguyen , Bernhard Schmitzer

Deep learning classifiers are now known to have flaws in the representations of their class. Adversarial attacks can find a human-imperceptible perturbation for a given image that will mislead a trained model. The most effective methods to…

Machine Learning · Computer Science 2021-05-19 Quentin Bouniot , Romaric Audigier , Angélique Loesch

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

Optimal Transport has received much attention in Machine Learning as it allows to compare probability distributions by exploiting the geometry of the underlying space. However, in its original formulation, solving this problem suffers from…

Machine Learning · Computer Science 2023-11-27 Clément Bonet

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

Optimal Transport has recently gained interest in machine learning for applications ranging from domain adaptation, sentence similarities to deep learning. Yet, its ability to capture frequently occurring structure beyond the "ground…

Machine Learning · Statistics 2017-12-19 David Alvarez-Melis , Tommi S. Jaakkola , Stefanie Jegelka
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