output
20142022
most citedStochastic Optimization for Large-scale Optimal Transport

147 citations

Showing 2021Show all

5 papers · 1 filter

math.OC2021★ 3 cited

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…

stat.ML2021★ 2 cited

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…

math.ST2021

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…

math.AP2021

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…

eess.SP2021★ 6 cited

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…