90 citations · 408 across the 55 of their papers we have counts for
8 papers · 1 filter
Convex Regularization and Representer Theorems
Claire Boyer, Antonin Chambolle, Yohann de Castro +3
We establish a result which states that regularizing an inverse problem with the gauge of a convex set yields solutions which are linear combinations of a few extreme points or…
A convex variational model for learning convolutional image atoms from incomplete data
Antonin Chambolle, Martin Holler Thomas Pock
A variational model for learning convolutional image atoms from corrupted and/or incomplete data is introduced and analyzed both in function space and numerically. Building on lift…
Phase-field approximation for a class of cohesive fracture energies with an activation threshold
Antonin Chambolle, Vito Crismale
We study the -limit of Ambrosio-Tortorelli-type functionals , whose dependence on the symmetrised gradient is different in and in $e(u)…
Existence of strong solutions to the Dirichlet problem for the Griffith energy
Antonin Chambolle, Vito Crismale
In this paper we continue the study of the Griffith brittle fracture energy minimisation under Dirichlet boundary conditions, suggested by Francfort and Marigo in 1998. In a recent…
Strong approximation in h-mass of rectifiable currents under homological constraint
Antonin Chambolle, Luca Alberto Davide Ferrari, Benoït Merlet
Let h : R R+ be a lower semi-continuous subbadditive and even function such that h(0) = 0 and h() || for some > 0. The h-mass of a k-polyhedral cha…
On Representer Theorems and Convex Regularization
Claire Boyer, Antonin Chambolle, Yohann De Castro +3
We establish a general principle which states that regularizing an inverse problem with a convex function yields solutions which are convex combinations of a small number of atoms.…