activity
20122023
most citedA simple phase-field approximation of the Steiner problem in dimension two

6 citations · 6 across the 6 of their papers we have counts for

collaborators

6 papers

math.OC2023

Convergent plug-and-play with proximal denoiser and unconstrained regularization parameter

Samuel Hurault, Antonin Chambolle, Arthur Leclaire +1

In this work, we present new proofs of convergence for Plug-and-Play (PnP) algorithms. PnP methods are efficient iterative algorithms for solving image inverse problems where regul…

math.AP2023

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,…

math.NA2023

Learned Discretization Schemes for the Second-Order Total Generalized Variation

Lea Bogensperger, Antonin Chambolle, Alexander Effland +1

The total generalized variation extends the total variation by incorporating higher-order smoothness. Thus, it can also suffer from similar discretization issues related to isotrop…

math.AP20166 cited

A simple phase-field approximation of the Steiner problem in dimension two

A. Chambolle, B. Merlet, L. Ferrari

In this paper we consider the branched transportation problem in 2D associated with a cost per unit length of the form where denotes the amount of transported mass and…

math.AP2014

Energy release rate for non smooth cracks in planar elasticity

Jean-François Babadjian, Antonin Chambolle, Antoine Lemenant

This paper is devoted to the characterization of the energy release rate of a crack which is merely closed, connected, and with density at the tip. First, the blow-up limit o…

math.AP2012

Plane-like minimizers and differentiability of the stable norm

Antonin Chambolle, Michael Goldman, Matteo Novaga

In this paper we investigate the strict convexity and the differentiability properties of the stable norm, which corresponds to the homogenized surface tension for a periodic perim…