90 citations · 408 across the 55 of their papers we have counts for
6 papers · 2 filters
Inclusion and estimates for the jumps of minimizers in variational denoising
Antonin Chambolle, Michał Łasica
We study stability and inclusion of the jump set of minimizers of convex denoising functionals, such as the celebrated "Rudin-Osher-Fatemi" functional, for scalar or vectorial sign…
The Total Variation-Wasserstein Problem
Antonin Chambolle, Vincent Duval, Joao Miguel Machado
In this work we analyze the Total Variation-Wasserstein minimization problem. We propose an alternative form of deriving optimality conditions from the approach of Calier\&Poon'18,…
Ising systems, measures on the sphere, and zonoids
Andrea Braides, Antonin Chambolle
We give an interpretation of a class of discrete-to-continuum results for Ising systems using the theory of zonoids. We define the classes of rational zonotopes and zonoids, as tho…
One-dimensional approximation of measures in Wasserstein distances
Antonin Chambolle, Vincent Duval, Joao Miguel Machado
We propose a variational approach to approximate measures with measures uniformly distributed over a 1 dimentional set. The problem consists in minimizing a Wasserstein distance as…
-gradient flow of convex functionals
Antonin Chambolle, Matteo Novaga
We are interested in the gradient flow of a general first order convex functional with respect to the -topology. By means of an implicit minimization scheme, we show existence…
A free discontinuity approach to optimal profiles in Stokes flows
Dorin Bucur, Antonin Chambolle, Alessandro Giacomini +1
In this paper we study obstacles immerged in a Stokes flow with Navier boundary conditions. We prove the existence and regularity of an obstacle with minimal drag, among all shapes…