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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

Optimal transport (OT) is a central framework for modeling distribution shifts. Because OT compares distributions directly in input space, a well-designed ground metric between observations is essential to ensure that the optimizer does not…

Machine Learning · Computer Science 2026-05-07 Philip Naumann , Jacob Kauffmann , Klaus-Robert Müller , Grégoire Montavon

In many applications of optimal transport (OT), the object of primary interest is the optimal transport map. This map rearranges mass from one probability distribution to another in the most efficient way possible by minimizing a specified…

Statistics Theory · Mathematics 2025-06-25 Sivaraman Balakrishnan , Tudor Manole , Larry Wasserman

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…

Decision making algorithms, in practice, are often trained on data that exhibits a variety of biases. Decision-makers often aim to take decisions based on some ground-truth target that is assumed or expected to be unbiased, i.e., equally…

Machine Learning · Statistics 2022-07-05 Miriam Rateike , Ayan Majumdar , Olga Mineeva , Krishna P. Gummadi , Isabel Valera

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…

Optimal transport (OT) and unbalanced optimal transport (UOT) are central in many machine learning, statistics and engineering applications. 1D OT is easily solved, with complexity O(n log n), but no efficient algorithm was known for 1D…

Performance · Computer Science 2024-02-15 Gabriel Gouvine

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

Algorithms are now routinely used to make consequential decisions that affect human lives. Examples include college admissions, medical interventions or law enforcement. While algorithms empower us to harness all information hidden in vast…

Machine Learning · Computer Science 2020-12-10 Bahar Taskesen , Jose Blanchet , Daniel Kuhn , Viet Anh Nguyen

In computer vision, one is often confronted with problems of domain shifts, which occur when one applies a classifier trained on a source dataset to target data sharing similar characteristics (e.g. same classes), but also different latent…

Computer Vision and Pattern Recognition · Computer Science 2018-09-06 Bharath Bhushan Damodaran , Benjamin Kellenberger , Rémi Flamary , Devis Tuia , Nicolas Courty

Our goal is to perform out-of-distribution (OOD) detection, i.e., to detect when a robot is operating in environments drawn from a different distribution than the ones used to train the robot. We leverage Probably Approximately Correct…

Robotics · Computer Science 2023-11-08 Alec Farid , Sushant Veer , Divyanshu Pachisia , Anirudha Majumdar

Flow Matching (FM) generative models offer efficient simulation-free training and deterministic sampling, but their practical deployment is challenged by high-precision parameter requirements. We adapt optimal transport (OT)-based…

Machine Learning · Computer Science 2025-11-17 Dara Varam , Diaa A. Abuhani , Imran Zualkernan , Raghad AlDamani , Lujain Khalil

Real-world datasets often encode stereotypes and societal biases. Such biases can be implicitly captured by trained models, leading to biased predictions and exacerbating existing societal preconceptions. Existing debiasing methods, such as…

Machine Learning · Computer Science 2022-05-06 Aili Shen , Xudong Han , Trevor Cohn , Timothy Baldwin , Lea Frermann

Learned Image Signal Processing (ISP) pipelines offer powerful end-to-end performance but are critically dependent on large-scale paired raw-to-sRGB datasets. This reliance on costly-to-acquire paired data remains a significant bottleneck.…

Computer Vision and Pattern Recognition · Computer Science 2025-12-08 Georgy Perevozchikov , Nancy Mehta , Egor Ershov , Radu Timofte

We research relations between optimal transport theory (OTT) and approximate Bayesian computation (ABC) possibly connected to relevant metrics defined on probability measures. Those of ABC are computational methods based on Bayesian…

Statistics Theory · Mathematics 2021-05-06 Marco Tarsia , Antonietta Mira , Daniele Cassani

Data used by automated decision-making systems, such as Machine Learning models, often reflects discriminatory behavior that occurred in the past. These biases in the training data are sometimes related to label noise, such as in COMPAS,…

Machine Learning · Computer Science 2024-10-15 Inês Oliveira e Silva , Sérgio Jesus , Hugo Ferreira , Pedro Saleiro , Inês Sousa , Pedro Bizarro , Carlos Soares

We consider the problem of online allocation subject to a long-term fairness penalty. Contrary to existing works, however, we do not assume that the decision-maker observes the protected attributes -- which is often unrealistic in practice.…

Machine Learning · Computer Science 2023-12-05 Mathieu Molina , Nicolas Gast , Patrick Loiseau , Vianney Perchet

Dynamical formulations of optimal transport (OT) frame the task of comparing distributions as a variational problem which searches for a path between distributions minimizing a kinetic energy functional. In applications, it is frequently…

Optimization and Control · Mathematics 2025-12-11 Martin Bauer , Nicolas Charon , Tom Needham , Mao Nishino

In many machine learning applications, it is necessary to meaningfully aggregate, through alignment, different but related datasets. Optimal transport (OT)-based approaches pose alignment as a divergence minimization problem: the aim is to…

Machine Learning · Statistics 2019-11-05 John Lee , Max Dabagia , Eva L. Dyer , Christopher J. Rozell

We consider the problem of transforming samples from one continuous source distribution into samples from another target distribution. We demonstrate with optimal transport theory that when the source distribution can be easily sampled from…

Machine Learning · Statistics 2015-09-30 Sanggyun Kim , Diego Mesa , Rui Ma , Todd P. Coleman