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
Regularity theory and geometry of unbalanced optimal transport
Thomas Gallouët, Roberta Ghezzi, François-Xavier Vialard
Using the dual formulation only, we show that the regularity of unbalanced optimal transport also called entropy-transport inherits from the regularity of standard optimal transpor…
Model-based Clustering with Missing Not At Random Data
Aude Sportisse, Matthieu Marbac, Fabien Laporte +4
Model-based unsupervised learning, as any learning task, stalls as soon as missing data occurs. This is even more true when the missing data are informative, or said missing not at…
Parameter tuning and model selection in optimal transport with semi-dual Brenier formulation
Adrien Vacher, François-Xavier Vialard
Over the past few years, numerous computational models have been developed to solve Optimal Transport (OT) in a stochastic setting, where distributions are represented by samples a…
Convergence of a Lagrangian discretization for barotropic fluids and porous media flow
Thomas Gallouët, Quentin Merigot, Andrea Natale
When expressed in Lagrangian variables, the equations of motion for compressible (barotropic) fluids have the structure of a classical Hamiltonian system in which the potential ene…
Towards Off-the-grid Algorithms for Total Variation Regularized Inverse Problems
Yohann de Castro, Vincent Duval, Romain Petit
We introduce an algorithm to solve linear inverse problems regularized with the total (gradient) variation in a gridless manner. Contrary to most existing methods, that produce an…