Search Results for author: Thibault Séjourné

Found 7 papers, 4 papers with code

Unbalanced Optimal Transport meets Sliced-Wasserstein

no code implementations12 Jun 2023 Thibault Séjourné, Clément Bonet, Kilian Fatras, Kimia Nadjahi, Nicolas Courty

In parallel, unbalanced OT was designed to allow comparisons of more general positive measures, while being more robust to outliers.

Unbalanced Optimal Transport, from Theory to Numerics

no code implementations16 Nov 2022 Thibault Séjourné, Gabriel Peyré, François-Xavier Vialard

Optimal Transport (OT) has recently emerged as a central tool in data sciences to compare in a geometrically faithful way point clouds and more generally probability distributions.

Faster Unbalanced Optimal Transport: Translation invariant Sinkhorn and 1-D Frank-Wolfe

no code implementations3 Jan 2022 Thibault Séjourné, François-Xavier Vialard, Gabriel Peyré

In this work, we identify the cause for this deficiency, namely the lack of a global normalization of the iterates, which equivalently corresponds to a translation of the dual OT potentials.

Translation

Unbalanced minibatch Optimal Transport; applications to Domain Adaptation

2 code implementations5 Mar 2021 Kilian Fatras, Thibault Séjourné, Nicolas Courty, Rémi Flamary

Optimal transport distances have found many applications in machine learning for their capacity to compare non-parametric probability distributions.

Domain Adaptation

Sinkhorn Divergences for Unbalanced Optimal Transport

4 code implementations28 Oct 2019 Thibault Séjourné, Jean Feydy, François-Xavier Vialard, Alain Trouvé, Gabriel Peyré

Optimal transport induces the Earth Mover's (Wasserstein) distance between probability distributions, a geometric divergence that is relevant to a wide range of problems.

Interpolating between Optimal Transport and MMD using Sinkhorn Divergences

1 code implementation18 Oct 2018 Jean Feydy, Thibault Séjourné, François-Xavier Vialard, Shun-ichi Amari, Alain Trouvé, Gabriel Peyré

Comparing probability distributions is a fundamental problem in data sciences.

Statistics Theory Statistics Theory 62

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