147 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Centre de Recherche en Mathématiques de la DécisionFR19 papers
- Centre National de la Recherche ScientifiqueFR11 papers
- Institut national de recherche en sciences et technologies du numériqueFR11 papers
- Université Paris Dauphine-PSLFR7 papers
- Département de mathématiques et applicationsFR6 papers
- École Normale Supérieure - PSLFR4 papers
- Laboratoire d'Informatique Gaspard-MongeFR4 papers
- Université Gustave EiffelFR4 papers
- Centre de Mathématiques Appliquées de l'École polytechniqueFR3 papers
- École PolytechniqueFR3 papers
- Laboratoire de Probabilités, Statistique et ModélisationFR3 papers
- Kyoto UniversityJP2 papers
5 papers · 1 filter
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…
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…
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…
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…
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…