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20142022
most citedStochastic Optimization for Large-scale Optimal Transport

147 citations

Showing 2017Show all

5 papers · 1 filter

math.OC2017★ 14 cited

A Low-Rank Approach to Off-The-Grid Sparse Deconvolution

Paul Catala, Vincent Duval, Gabriel Peyré

We propose a new solver for the sparse spikes deconvolution problem over the space of Radon measures. A common approach to off-the-grid deconvolution considers semidefinite (SDP) r…

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.OC2017

A study of the dual problem of the one-dimensional L-infinity optimal transport problem with applications

Luigi De Pascale, Jean Louet

The Monge-Kantorovich problem for the infinite Wasserstein distance presents several peculiarities. Among them the lack of convexity and then of a direct duality. We study in dimen…

math.OC2017★ 5 cited

The entropic regularization of the Monge problem on the real line

Simone Di Marino, Jean Louet

We study the entropic regularization of the optimal transport problem in dimension 1 when the cost function is the distance c(x, y) = |y -- x|. The selected plan at the limit is, a…