output
20142022
most citedStochastic Optimization for Large-scale Optimal Transport

147 citations

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

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5 papers · 1 filter

math.NA2022

Quantitative Stability of Barycenters in the Wasserstein Space

Guillaume Carlier, Alex Delalande, Quentin Merigot

Wasserstein barycenters define averages of probability measures in a geometrically meaningful way. Their use is increasingly popular in applied fields, such as image, geometry or l…

math.NA2017★ 2 cited

Minimal convex extensions and finite difference discretization of the quadratic Monge-Kantorovich problem

Jean-David Benamou, Vincent Duval

We present an adaptation of the MA-LBR scheme to the Monge-Amp{è}re equation with second boundary value condition, provided the target is a convex set. This yields a fast adaptive…

math.NA2017★ 3 cited

Optimal Transport for Diffeomorphic Registration

Jean Feydy, Benjamin Charlier, François-Xavier Vialard +1

This paper introduces the use of unbalanced optimal transport methods as a similarity measure for diffeomorphic matching of imaging data. The similarity measure is a key object in…

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.NA2014★ 4 cited

Monotone and Consistent discretization of the Monge-Ampere operator

Jean-David Benamou, Francis Collino, Jean-Marie Mirebeau

We introduce a novel discretization of the Monge-Ampere operator, simultaneously consistent and degenerate elliptic, hence accurate and robust in applications. These properties are…