72 citations · 191 across the 22 of their papers we have counts for
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Fast Optimal Transport through Sliced Wasserstein Generalized Geodesics
Guillaume Mahey, Laetitia Chapel, Gilles Gasso +2
Wasserstein distance (WD) and the associated optimal transport plan have been proven useful in many applications where probability measures are at stake. In this paper, we propose…
Theoretical Guarantees for Bridging Metric Measure Embedding and Optimal Transport
Mokhtar Z. Alaya, Maxime Bérar, Gilles Gasso +1
We propose a novel approach for comparing distributions whose supports do not necessarily lie on the same metric space. Unlike Gromov-Wasserstein (GW) distance which compares pairw…
Partial Optimal Transport with Applications on Positive-Unlabeled Learning
Laetitia Chapel, Mokhtar Z. Alaya, Gilles Gasso
Classical optimal transport problem seeks a transportation map that preserves the total mass betwenn two probability distributions, requiring their mass to be the same. This may be…
Screening Sinkhorn Algorithm for Regularized Optimal Transport
Mokhtar Z. Alaya, Maxime Bérar, Gilles Gasso +1
We introduce in this paper a novel strategy for efficiently approximating the Sinkhorn distance between two discrete measures. After identifying neglectable components of the dual…