most citedTowards Off-the-grid Algorithms for Total Variation Regularized Inverse Problems

6 citations

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10 papers

math.DG2022★ 2 cited

A geometric Laplace method

Flavien Léger, François-Xavier Vialard

A classical tool for approximating integrals is the Laplace method. The first-order, as well as the higher-order Laplace formula is most often written in coordinates without any ge…

math.AP2022

From geodesic extrapolation to a variational BDF2 scheme for Wasserstein gradient flows

Thomas Gallouët, Andrea Natale, Gabriele Todeschi

We introduce a time discretization for Wasserstein gradient flows based on the classical Backward Differentiation Formula of order two. The main building block of the scheme is the…

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.AP2022

Mass concentration in rescaled first order integral functionals

Antonin Monteil, Paul Pegon

We consider first order local minimization problems of the form under a mass constraint . We prove that the minimal…

math.ST2022

Is interpolation benign for random forest regression?

Ludovic Arnould, Claire Boyer, Erwan Scornet

Statistical wisdom suggests that very complex models, interpolating training data, will be poor at predicting unseen examples.Yet, this aphorism has been recently challenged by the…

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…