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Publications

Cette page présente les publications du Centre Borelli déposées sur le serveur HAL.

Affichage des publications 831 à 840 sur 1260 au total

Image Processing

Gromov-Wasserstein Distances between Gaussian Distributions

The Gromov-Wasserstein distances were proposed a few years ago to compare distributions which do not lie in the same space. In particular, they offer an interesting alternative to the Wasserstein distances for comparing probability measures living…

Antoine Salmona, Julie Delon, Agnès Desolneux

Journal of Applied Probability -

Statistics Theory

Bayesian imaging using Plug & Play priors: when Langevin meets Tweedie

Since the seminal work of Venkatakrishnan et al. [82] in 2013, Plug & Play (PnP) methods have become ubiquitous in Bayesian imaging. These methods derive estimators for inverse problems in imaging by combining an explicit likelihood function…

Rémi Laumont, Valentin de Bortoli, Andrés Almansa, Julie Delon, Alain Durmus, Marcelo Pereyra

SIAM Journal on Imaging Sciences -

Analysis of PDEs

A linear finite-difference scheme for approximating Randers distances on Cartesian grids

Randers distances are an asymmetric generalization of Riemannian distances, and arise in optimal control problems subject to a drift term, among other applications. We show that Randers eikonal equation can be approximated by a logarithmic…

Frédéric Bonnans, Guillaume Bonnet, Jean-Marie Mirebeau

ESAIM: Control, Optimisation and Calculus of Variations -

Analysis of PDEs

Monotone discretization of the Monge-Ampère equation of optimal transport

We design a monotone finite difference discretization of the second boundary value problem for the Monge-Ampère equation, whose main application is optimal transport. We prove the existence of solutions to a class of monotone numerical schemes for…

Guillaume Bonnet, Jean-Marie Mirebeau