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5 papers · 1 filter

math.AP2025

A Generalization of Caffarelli's Contraction Theorem to Nearly Spherical Manifolds

Yuxin Ge, Jordan Serres

We show that every nearly spherical manifold can be realized as the volume-preserving image of a round sphere, via the Brenier-McCann optimal transport map. This theorem extends Ca…

stat.ML2025

Decreasing Entropic Regularization Averaged Gradient for Semi-Discrete Optimal Transport

Ferdinand Genans, Antoine Godichon-Baggioni, François-Xavier Vialard +1

Adding entropic regularization to Optimal Transport (OT) problems has become a standard approach for designing efficient and scalable solvers. However, regularization introduces a…

math.ST2025

Stochastic Optimization in Semi-Discrete Optimal Transport: Convergence Analysis and Minimax Rate

Ferdinand Genans, Antoine Godichon-Baggioni, François-Xavier Vialard +1

We investigate the semi-discrete Optimal Transport (OT) problem, where a continuous source measure is transported to a discrete target measure , with particular attention to…

stat.ML2025

Attention-based clustering

Rodrigo Maulen-Soto, Pierre Marion, Claire Boyer

Transformers have emerged as a powerful neural network architecture capable of tackling a wide range of learning tasks. In this work, we provide a theoretical analysis of their abi…

cs.LG2025

Transductive Conformal Inference for Full Ranking

Jean-Baptiste Fermanian, Pierre Humbert, Gilles Blanchard

We introduce a method based on Conformal Prediction (CP) to quantify the uncertainty of full ranking algorithms. We focus on a specific scenario where items are to be ranked…