output
20142022
most citedStochastic Optimization for Large-scale Optimal Transport

147 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

collaborating institutions
Showing 2016Show all

5 papers · 1 filter

cs.GR2016★ 35 cited

Quantum Optimal Transport for Tensor Field Processing

Gabriel Peyré, Lenaïc Chizat, François-Xavier Vialard +1

This article introduces a new notion of optimal transport (OT) between tensor fields, which are measures whose values are positive semidefinite (PSD) matrices. This "quantum" formu…

math.OC2016★ 147 cited

Stochastic Optimization for Large-scale Optimal Transport

Genevay Aude, Marco Cuturi, Gabriel Peyré +1

Optimal transport (OT) defines a powerful framework to compare probability distributions in a geometrically faithful way. However, the practical impact of OT is still limited becau…

math.NA2016★ 5 cited

A Lagrangian scheme for the incompressible Euler equation using optimal transport

Thomas Gallouët, Quentin Mérigot

We approximate the regular solutions of the incompressible Euler equation by the solution of ODEs on finite-dimensional spaces. Our approach combines Arnold's interpretation of the…

math.PR2016★ 4 cited

An algebra of Stein operators

Robert E. Gaunt, Guillaume Mijoule, Yvik Swan

We build upon recent advances on the distributional aspect of Stein's method to propose a novel and flexible technique for computing Stein operators for random variables that can b…

math.OC2016★ 90 cited

Geometric properties of solutions to the total variation denoising problem

Antonin Chambolle, Vincent Duval, Gabriel Peyré +1

This article studies the denoising performance of total variation (TV) image regularization. More precisely, we study geometrical properties of the solution to the so-called Rudin-…