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Antonin Chambolle

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Présentation

Antonin Chambolle est Directeur de recherches CNRS au [CEREMADE](https://www.ceremade.dauphine.fr), Université Paris-Dauphine et membre de l'équipe-projet commune CNRS/INRIA/Dauphine « [Mokaplan](https://www.inria.fr/fr/mokaplan) ».

Publications

Ising systems, measures on the sphere, and zonoids

Andrea Braides , Antonin Chambolle
Tunisian Journal of Mathematics, inPress
Article dans une revue hal-04320040v1
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Equilibrium Configurations For Nonhomogeneous Linearly Elastic Materials With Surface Discontinuities

Antonin Chambolle , Vito Crismale
Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 2023, XXIV (3), pp.1575-1610. ⟨10.2422/2036-2145.202006_002⟩
Article dans une revue hal-02667936v2
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A free discontinuity approach to optimal profiles in stokes flows

Dorin Bucur , Antonin Chambolle , Alessandro Giacomini , Mickaël Nahon
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, inPress
Article dans une revue hal-03920819v2
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Minimizing Movements for Anisotropic and Inhomogeneous Mean Curvature Flows

Antonin Chambolle , Daniele de Gennaro , Massimiliano Morini
Advances in Calculus of Variation, 2023, ⟨10.1515/acv-2022-0102⟩
Article dans une revue hal-03894146v2
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A general compactness theorem in G(S)BD

Antonin Chambolle , Vito Crismale
Indiana University Mathematics Journal, inPress
Article dans une revue hal-03807668v1
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Error estimates for finite differences approximations of the total variation

Corentin Caillaud , Antonin Chambolle
IMA Journal of Numerical Analysis, 2023, 43 (2), pp.692--736. ⟨10.1093/imanum/drac001⟩
Article dans une revue hal-02539136v2
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Convergence to line and surface energies in nematic liquid crystal colloids with external magnetic field

François Alouges , Antonin Chambolle , Dominik Stantejsky
Calculus of Variations and Partial Differential Equations, inPress
Article dans une revue hal-03583697v4
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KORN AND POINCARÉ-KORN INEQUALITIES FOR FUNCTIONS WITH SMALL JUMP SET

Filippo Cagnetti , Antonin Chambolle , Lucia Scardia
Mathematische Annalen, 2022, 383 (3-4), pp.1179--1216. ⟨10.1007/s00208-021-02210-w⟩
Article dans une revue hal-02775095v2
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Crystallinity of the Homogenized Energy Density of Periodic Lattice Systems

Antonin Chambolle , Leonard Kreutz
Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2022, 21 (1), pp.34--79. ⟨10.1137/21M1442073⟩
Article dans une revue hal-03326337v3
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"FISTA" in Banach spaces with adaptive discretisations

Antonin Chambolle , Robert Tovey
Computational Optimization and Applications, 2022, 83 (3), pp.845--892. ⟨10.1007/s10589-022-00418-3⟩
Article dans une revue hal-03119773v1
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Accelerated Bregman primal-dual methods applied to optimal transport and Wasserstein Barycenter problems

Antonin Chambolle , Juan Pablo Contreras
SIAM Journal on Mathematics of Data Science, 2022, 4 (4), pp.1369-1395. ⟨10.1137/22M1481865⟩
Article dans une revue hal-03806188v1
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Anisotropic and crystalline mean curvature flow of mean-convex sets

Antonin Chambolle , Matteo Novaga
Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 2022, 23 (2), pp.623-643. ⟨10.2422/2036-2145.202005_009⟩
Article dans une revue hal-02525796v2
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Convergence of a Piggyback-style method for the differentiation of solutions of standard saddle-point problems

Lea Bogensperger , Antonin Chambolle , Thomas Pock
SIAM Journal on Mathematics of Data Science, 2022, 4 (3), pp.1003-1030. ⟨10.1137/21M1455887⟩
Article dans une revue hal-03516542v2
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Nonlinear spectral decompositions by gradient flows of one-homogeneous functionals

Leon Bungert , Martin Burger , Antonin Chambolle , Matteo Novaga
Analysis & PDE, 2021, 14 (3), pp.823-860. ⟨10.2140/apde.2021.14.823⟩
Article dans une revue hal-03348801v1
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Learning Consistent Discretizations of the Total Variation

Antonin Chambolle , Thomas Pock
SIAM Journal on Imaging Sciences, 2021, 14 (2), pp.778--813. ⟨10.1137/20M1377199⟩
Article dans une revue hal-02982082v2
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Strong approximation in h-mass of rectifiable currents under homological constraint

Antonin Chambolle , Luca Alberto Davide Ferrari , Benoît Merlet
Advances in Calculus of Variation, 2021, 14 (3), pp.343--363. ⟨10.1515/acv-2018-0079⟩
Article dans une revue hal-01813234v1
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The saturn ring effect in nematic liquid crystals with external field: effective energy and hysteresis

François Alouges , Antonin Chambolle , Dominik Stantejsky
Archive for Rational Mechanics and Analysis, 2021, 241, pp.1403--1457. ⟨10.1007/s00205-021-01674-z⟩
Article dans une revue hal-02571060v2
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Phase-field approximation for a class of cohesive fracture energies with an activation threshold

Antonin Chambolle , Vito Crismale
Advances in Calculus of Variation, 2021, 14 (4), pp.475-497. ⟨10.1515/acv-2019-0018⟩
Article dans une revue hal-03908450v1
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MULLINS-SEKERKA AS THE WASSERSTEIN FLOW OF THE PERIMETER

Antonin Chambolle , Tim Laux
Proceedings of the American Mathematical Society, 2021, 149, pp.2943--2956. ⟨10.1090/proc/15401⟩
Article dans une revue hal-02306665v2
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ANISOTROPIC TUBULAR NEIGHBORHOODS OF SETS

Antonin Chambolle , Luca Lussardi , Elena Villa
Mathematische Zeitschrift, 2021, 299 (3-4), pp.1257-1274. ⟨10.1007/s00209-021-02715-9⟩
Article dans une revue hal-03357180v1
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AN EXTENSION RESULT FOR GENERALISED SPECIAL FUNCTIONS OF BOUNDED DEFORMATION

Filippo Cagnetti , Antonin Chambolle , Matteo Perugini , Lucia Scardia
Journal of Convex Analysis, 2020, 28 (2), pp.457--470
Article dans une revue hal-03347722v1

A Convex Variational Model for Learning Convolutional Image Atoms from Incomplete Data

Antonin Chambolle , M. Holler , T. Pock
Journal of Mathematical Imaging and Vision, 2020, 62 (3), pp.417-444. ⟨10.1007/s10851-019-00919-7⟩
Article dans une revue hal-02959406v1
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Inexact First-Order Primal-Dual Algorithms

Julian Rasch , Antonin Chambolle
Computational Optimization and Applications, 2020, 76, pp.381--430. ⟨10.1007/s10589-020-00186-y⟩
Article dans une revue hal-02489330v1
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Crouzeix-Raviart approximation of the total variation on simplicial meshes

Antonin Chambolle , Thomas Pock
Journal of Mathematical Imaging and Vision, 2020, 62 (6-7), pp.872--899. ⟨10.1007/s10851-019-00939-3⟩
Article dans une revue hal-01787012v3
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MUMFORD -SHAH FUNCTIONALS ON GRAPHS AND THEIR ASYMPTOTICS

Marco Caroccia , Antonin Chambolle , Dejan Slepčev
Nonlinearity, 2020, 33 (8), pp.3846--3888. ⟨10.1088/1361-6544/ab81ee⟩
Article dans une revue hal-02342959v1

Minimizing movements for forced anisotropic mean curvature flow of partitions with mobilities

Giovanni Bellettini , Antonin Chambolle , Shokhrukh Kholmatov
Proceedings of the Royal Society of Edinburgh: Section A, Mathematics, 2020, 151 (4), pp.1135--1170. ⟨10.1017/prm.2020.53⟩
Article dans une revue hal-02959423v1
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Compactness and Lower-Semicontinuity in GSBD

Antonin Chambolle , Vito Crismale
Journal of the European Mathematical Society, 2020, 23 (3), pp.701--719. ⟨10.4171/jems/1021⟩
Article dans une revue hal-01704866v1
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On the Convergence Rate of some Nonlocal Energies

Antonin Chambolle , Matteo Novaga , Valerio Pagliari
Nonlinear Analysis: Theory, Methods and Applications, 2020, 200 (112016), 23pp. ⟨10.1016/j.na.2020.112016⟩
Article dans une revue hal-02164431v2
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A phase-field approximation of the Steiner problem in dimension two

Antonin Chambolle , Luca Alberto Davide Ferrari , Benoît Merlet
Advances in Calculus of Variation, 2019, 12 (2), pp.157-179. ⟨10.1515/acv-2016-0034⟩
Article dans une revue hal-01359483v2
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Variational approximation of size-mass energies for k-dimensional currents

Antonin Chambolle , Luca A.D. Ferrari , Benoit Merlet
ESAIM: Control, Optimisation and Calculus of Variations, 2019, 25, pp.43. ⟨10.1051/cocv/2018027⟩
Article dans une revue hal-02952640v1
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Backtracking strategies for accelerated descent methods with smooth composite objectives

Luca Calatroni , Antonin Chambolle
SIAM Journal on Optimization, 2019, 29 (3), pp.1772--1798
Article dans une revue hal-01596103v1
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Total roto-translational variation

Antonin Chambolle , Thomas Pock
Numerische Mathematik, 2019, 142 (3), pp.611-666. ⟨10.1007/s00211-019-01026-w⟩
Article dans une revue hal-01831614v2
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Existence and uniqueness for anisotropic and crystalline mean curvature flows

Antonin Chambolle , Massimiliano Morini , Matteo Novaga , Marcello Ponsiglione
Journal of the American Mathematical Society, 2019, pp.1. ⟨10.1090/jams/919⟩
Article dans une revue hal-01463880v2
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Approximation of functions with small jump sets and existence of strong minimizers of Griffith's energy

Antonin Chambolle , Sergio Conti , Flaviana Iurlano
Journal de Mathématiques Pures et Appliquées, 2019, 128 (9), pp.119--139. ⟨10.1016/j.matpur.2019.02.001⟩
Article dans une revue hal-01610691v2
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A DENSITY RESULT IN $GSBD^p$ WITH APPLICATIONS TO THE APPROXIMATION OF BRITTLE FRACTURE ENERGIES

Antonin Chambolle , Vito Crismale
Archive for Rational Mechanics and Analysis, 2019, 232 (3), pp.1329--1378
Article dans une revue hal-01573936v1

Pointwise Besov Space Smoothing of Images

Gregery Buzzard , Antonin Chambolle , Jonathan Cohen , Stacey Levine , Bradley Lucier
Journal of Mathematical Imaging and Vision, 2019, 61 (1), pp.1-20. ⟨10.1007/s10851-018-0821-1⟩
Article dans une revue hal-02158833v1

Existence of strong solutions to the Dirichlet problem for the Griffith energy

Antonin Chambolle , Vito Crismale
Calculus of Variations and Partial Differential Equations, 2019, 58 (136), ⟨10.1007/s00526-019-1571-7⟩
Article dans une revue hal-01927842v1
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On Representer Theorems and Convex Regularization

Claire Boyer , Antonin Chambolle , Yohann de Castro , Vincent Duval , Frédéric de Gournay
SIAM Journal on Optimization, 2019, 29 (2), pp.1260-1281. ⟨10.1137/18M1200750⟩
Article dans une revue hal-01823135v3
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Variational approximation of size-mass energies for k-dimensional currents

Antonin Chambolle , Luca Alberto Davide Ferrari , Benoît Merlet
ESAIM: Control, Optimisation and Calculus of Variations, 2019, 25 (2019) (43), pp.39. ⟨10.1051/cocv/2018027⟩
Article dans une revue hal-01622540v3
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Approximation of a Brittle Fracture Energy with a Constraint of Non-Interpenetration

Antonin Chambolle , Sergio Conti , Gilles A Francfort
Archive for Rational Mechanics and Analysis, 2018, 228 (3), pp.867-889. ⟨10.1007/s00205-017-1207-z⟩
Article dans une revue hal-01584963v2
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GENERALIZED CRYSTALLINE EVOLUTIONS AS LIMITS OF FLOWS WITH SMOOTH ANISOTROPIES

Antonin Chambolle , Massimiliano Morini , Matteo Novaga , Marcello Ponsiglione
Analysis & PDE, 2018, 12 (3), pp.789-813
Article dans une revue hal-01632948v1
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STOCHASTIC PRIMAL-DUAL HYBRID GRADIENT ALGORITHM WITH ARBITRARY SAMPLING AND IMAGING APPLICATIONS

Antonin Chambolle , Matthias J Ehrhardt , Peter Richtarik , Carola-Bibiane Schönlieb
SIAM Journal on Optimization, 2018, 28 (4), pp.2783-2808. ⟨10.1137/17M1134834⟩
Article dans une revue hal-01569426v2
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Regularity for the optimal compliance problem with length penalization

Antonin Chambolle , Jimmy Lamboley , Antoine Lemenant , Eugene Stepanov
SIAM Journal on Mathematical Analysis, 2017
Article dans une revue hal-01248284v3
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Accelerated Alternating Descent Methods for Dykstra-like problems

Antonin Chambolle , Pauline Tan , Samuel Vaiter
Journal of Mathematical Imaging and Vision, 2017, 59 (3), pp.481-497. ⟨10.1007/s10851-017-0724-6⟩
Article dans une revue hal-01346532v1
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Some results on anisotropic fractional mean curvature flows

Antonin Chambolle , Matteo Novaga , Berardo Ruffini
Interfaces and Free Boundaries : Mathematical Analysis, Computation and Applications, 2017, 19 (3), pp.393-415. ⟨10.4171/IFB/387⟩
Article dans une revue hal-01291718v1

Geometric properties of solutions to the total variation denoising problem

Antonin Chambolle , Vincent Duval , Gabriel Peyré , Clarice Poon
Inverse Problems, 2016
Article dans une revue hal-01323720v1

Korn-Poincare inequalities for functions with a small jump set

Antonin Chambolle , Sergio Conti , Gilles A Francfort
Indiana University Mathematics Journal, 2016, 65 (4), pp.1373 - 1399. ⟨10.1512/iumj.2016.65.5852⟩
Article dans une revue hal-01721846v1
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On the ergodic convergence rates of a first-order primal-dual algorithm.

Antonin Chambolle , Thomas Pock
Mathematical Programming, Series A, 2016, 159 (1-2), pp.253-287
Article dans une revue hal-01151629v2
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An introduction to continuous optimization for imaging

Antonin Chambolle , Thomas Pock
Acta Numerica, 2016, Acta Numerica, 25, pp.161-319. ⟨10.1017/S096249291600009X⟩
Article dans une revue hal-01346507v1
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Existence and Uniqueness for a Crystalline Mean Curvature Flow

Antonin Chambolle , Massimiliano Morini , Marcello Ponsiglione
Communications on Pure and Applied Mathematics, 2016, ⟨10.1002/cpa.21668⟩
Article dans une revue hal-01371384v1
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On the convergence of the iterates of "FISTA"

Antonin Chambolle , Charles H Dossal
Journal of Optimization Theory and Applications, 2015, Volume 166 ( Issue 3), pp.25
Article dans une revue hal-01060130v3
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Nonlocal Curvature Flows

Antonin Chambolle , Massimiliano Morini , Marcello Ponsiglione
Archive for Rational Mechanics and Analysis, 2015, 218 (3), pp.1263. ⟨10.1007/s00205-015-0880-z⟩
Article dans une revue hal-01371387v1
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Fine properties of the subdifferential for a class of one-homogeneous functionals

Antonin Chambolle , Michael Goldman , Matteo Novaga
Advances in Calculus of Variation, 2015
Article dans une revue hal-00746958v2
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A remark on accelerated block coordinate descent for computing the proximity operators of a sum of convex functions.

Antonin Chambolle , Thomas Pock
SMAI Journal of Computational Mathematics, 2015, 1, pp.29 - 54. ⟨10.5802/smai-jcm.3⟩
Article dans une revue hal-01099182v3
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Energy release rate for non smooth cracks in planar elasticity

Jean-François Babadjian , Antonin Chambolle , Antoine Lemenant
Journal de l'École polytechnique — Mathématiques, 2015, 2, pp.117-152
Article dans une revue hal-01015179v1
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Plane-like minimizers and differentiability of the stable norm

Antonin Chambolle , Michael Goldman , Matteo Novaga
Journal of Geometric Analysis, 2014
Article dans une revue hal-00694872v2
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The $\Gamma$-limit for singularly perturbed functionals of Perona-Malik type in arbitrary dimension

Giovanni Bellettini , Antonin Chambolle , Michael Goldman
Mathematical Models and Methods in Applied Sciences, 2014
Article dans une revue hal-00779609v1
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Representation, relaxation and convexity for variational problems in Wiener spaces

Antonin Chambolle , Michael Goldman , Matteo Novaga
Journal de Mathématiques Pures et Appliquées, 2013
Article dans une revue hal-00627083v4

Macroscopic contact angle and liquid drops on rough solid surfaces via homogenization and numerical simulations

Simone Cacace , Antonin Chambolle , Antonio Desimone , Livio Fedeli
ESAIM: Mathematical Modelling and Numerical Analysis, 2013, 47 (3), pp.837-858. ⟨10.1051/m2an/2012048⟩
Article dans une revue hal-00854862v1
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On the gradient flow of a one-homogeneous functional

Ariela Briani , Antonin Chambolle , Matteo Novaga , Giandomenico Orlandi
Confluentes Mathematici, 2012, 03 (04), pp.617-635. ⟨10.1142/S1793744211000461⟩
Article dans une revue hal-00627812v2

Consistency result for a non monotone scheme for anisotropic mean curvature flow

Eric Bonnetier , Elie Bretin , Antonin Chambolle
Interfaces and Free Boundaries : Mathematical Analysis, Computation and Applications, 2012, 14 (1), pp.1-35. ⟨10.4171/IFB/272⟩
Article dans une revue hal-00748056v1
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Mean curvature flow with obstacles

Luís Almeida , Antonin Chambolle , Matteo Novaga
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2012, 29 (5), pp.667 - 681. ⟨10.1016/j.anihpc.2012.03.002⟩
Article dans une revue hal-00643453v2
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A posteriori error estimates for the effective Hamiltonian of dislocation dynamics

Simone Cacace , Antonin Chambolle , Régis Monneau
Numerische Mathematik, 2011, 55 p. ⟨10.1007/s00211-011-0430-z⟩
Article dans une revue hal-00432605v1
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Revisiting energy release rates in brittle fracture

Antonin Chambolle , Gilles A. Francfort , Jean-Jacques Marigo
Journal of Nonlinear Science, 2010, 20 (4), pp.395-424. ⟨10.1007/s00332-010-9061-2⟩
Article dans une revue hal-00490537v1
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The volume preserving crystalline mean curvature flow of convex sets in R^N

Giovanni Bellettini , Vicent Caselles , Antonin Chambolle , Matteo Novaga
Journal de Mathématiques Pures et Appliquées, 2009, 92 (5), pp.499-527. ⟨10.1016/j.matpur.2009.05.016⟩
Article dans une revue hal-00440091v1

"Homogenization of interfacial energies and construction of plane-like minimizers in periodic media through a cell problem"

Antonin Chambolle , Gilles Thouroude
Networks and Heterogeneous Media, 2009, 4 (1), pp.127-152. ⟨10.3934/nhm.2009.4.127⟩
Article dans une revue hal-00381326v1
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Implicit time discretization of the mean curvature flow with a discontinuous forcing term.

Antonin Chambolle , Matteo Novaga
Interfaces and Free Boundaries : Mathematical Analysis, Computation and Applications, 2008, 10 (3), pp.283--300
Article dans une revue hal-00381471v1
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Crack initiation in brittle materials.

Antonin Chambolle , Alessandro Giacomini , Marcello Ponsiglione
Archive for Rational Mechanics and Analysis, 2008, 188 (2), pp.309-349. ⟨10.1007/s00205-007-0080-6⟩
Article dans une revue hal-00381652v1

Image decomposition into a bounded variation component and an oscillating component

Jean-François Aujol , Gilles Aubert , Laure Blanc-Féraud , Antonin Chambolle
Journal of Mathematical Imaging and Vision, 2005, 22 (1), p. 71-88
Article dans une revue hal-00202001v1

Dual norms and image decomposition models

Jean-François Aujol , Antonin Chambolle
International Journal of Computer Vision, 2005, 63 (1), p. 85-104. ⟨10.1007/s11263-005-4948-3⟩
Article dans une revue hal-00201999v1
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TIME-DELAY REGULARIZATION OF ANISOTROPIC DIFFUSION AND IMAGE PROCESSING

Abdelmounim Belahmidi , Antonin Chambolle
ESAIM: Mathematical Modelling and Numerical Analysis, 2005, Vol.39, No.2., pp. 231-251. ⟨10.1051/m2an:2005010⟩
Article dans une revue hal-00001401v1

Image decomposition. Application to SAR images.

Jean-François Aujol , Gilles Aubert , Laure Blanc-Féraud , Antonin Chambolle
Lecture Notes in Computer Science, 2003, Scale Space Methods in Computer Vision (2695), p. 297-312. ⟨10.1007/3-540-44935-3⟩
Article dans une revue hal-00202010v1

A relaxed proximal gradient descent algorithm for convergent plug-and-play with proximal denoiser

Samuel Hurault , Antonin Chambolle , Arthur Leclaire , Nicolas Papadakis
International Conference on Scale Space and Variational Methods in Computer Vision (SSVM'23), May 2023, Santa Margherita di Pula, Italy. ⟨10.1007/978-3-031-31975-4_29⟩
Communication dans un congrès hal-03967018v1

Explicit Diffusion of Gaussian Mixture Model Based Image Priors

Martin Zach , Thomas Pock , Erich Kobler , Antonin Chambolle
9th International Conference on Scale Space and Variational Methods in Computer Vision, SSVM 2023, Università di Bologna, May 2023, Santa Margherita di Pula (Cagliari), Italy. pp.3-15, ⟨10.1007/978-3-031-31975-4_1⟩
Communication dans un congrès hal-04239963v1

Learned Discretization Schemes for the Second-Order Total Generalized Variation

Lea Bogensperger , Antonin Chambolle , Alexander Effland , Thomas Pock
9th International Conference on Scale Space and Variational Methods in Computer Vision. SSVM 2023, Università di Bologna, Italie, May 2023, Santa Margherita di Pula (Cagliari), Italy. pp.484-497, ⟨10.1007/978-3-031-31975-4_37⟩
Communication dans un congrès hal-04239970v1

The Total Variation-Wasserstein Problem

Antonin Chambolle , Vincent Duval , João Miguel Machado
Geometric Science of Information. GSI 2023, F. Nielsen, F. Barbaresco, Aug 2023, Saint Malo (FR), France. pp.610-619, ⟨10.1007/978-3-031-38271-0_61⟩
Communication dans un congrès hal-04113284v1
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Classification and feature selection using a primal-dual method and projection on structured constraints

Michel Barlaud , Antonin Chambolle , Jean-Baptiste Caillau
ICPR 2020 - 25th International Conference on Pattern Recognition, Jan 2021, Milan, Italy. pp.6538-6545, ⟨10.1109/ICPR48806.2021.9412873⟩
Communication dans un congrès hal-03039073v1
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Occlusion Detection in Dense Stereo Estimation with Convex Optimization

Antonin Chambolle , Pascal Monasse , Pauline Tan
ICIP'17, IEEE International Conference on Image Processing, Sep 2017, Pekin, China. ⟨10.1109/ICIP.2017.8296741⟩
Communication dans un congrès hal-01700678v1
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Existence and qualitative properties of isoperimetric sets in periodic media

Antonin Chambolle , Michael Goldman , Matteo Novaga
Geometric Partial Differential Equations, 2012, Pise, France
Communication dans un congrès hal-00749580v2
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Restauration d'images floutées & bruitées par une variante originale de la variation totale

Khalid Jalalzai , Antonin Chambolle
ORASIS'09 - Congrès des jeunes chercheurs en vision par ordinateur, 2009, Trégastel, France, France
Communication dans un congrès inria-00404634v1
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Une méthode de champ de phase pour l'optimisation topologique

Blaise Bourdin , Antonin Chambolle
7e colloque national en calcul des structures, CSMA, May 2005, Giens, France
Communication dans un congrès hal-01812888v1

A l1-unified variational framework for image restoration

Julien Bect , Laure Blanc-Féraud , Gilles Aubert , Antonin Chambolle
8th European Conference on Computer Vision (ECCV 2004), May 2004, Prague, Czech Republic. pp.1-13, ⟨10.1007/b97873⟩
Communication dans un congrès hal-00217251v1
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Approximating the Total Variation with Finite Differences or Finite Elements

Antonin Chambolle , Thomas Pock
Handbook of Numerical Analysis: Geometric Partial Differential Equations II, 22, , pp.383--417, 2021, Handbook of Numerical Analysis: Geometric Partial Differential Equations II, ISSN 1570-8659. ⟨10.1016/bs.hna.2020.10.005⟩
Chapitre d'ouvrage hal-02959358v2
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Discrete-to-continuous crystalline curvature flows

Antonin Chambolle , Daniele de Gennaro , Massimiliano Morini
2024
Pré-publication, Document de travail hal-04500307v2
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Stochastic Primal Dual Hybrid Gradient Algorithm with Adaptive Step-Sizes

Antonin Chambolle , Claire Delplancke , Matthias J Ehrhardt , Carola-Bibiane Schönlieb , Junqi Tang
2023
Pré-publication, Document de travail hal-03927644v3
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Existence of minimizers in the variational approach to brittle fracture

Antonin Chambolle
2023
Pré-publication, Document de travail hal-04279405v3
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Inclusion and estimates for the jumps of minimizers in variational denoising

Antonin Chambolle , Michał Łasica
2023
Pré-publication, Document de travail hal-04323807v1
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1D approximation of measures in Wasserstein spaces

Antonin Chambolle , Vincent Duval , Joao Miguel Machado
2023
Pré-publication, Document de travail hal-04082932v1

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

Samuel Hurault , Antonin Chambolle , Arthur Leclaire , Nicolas Papadakis
2023
Pré-publication, Document de travail hal-04269033v1
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Stability of optimal shapes and convergence of thresholding algorithms in linear and spectral optimal control problems

Antonin Chambolle , Idriss Mazari-Fouquer , Yannick Privat
2023
Pré-publication, Document de travail hal-04140177v1
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Stability of optimal shapes and convergence of thresholding algorithms in linear and spectral optimal control problems: Supplementary material

Antonin Chambolle , Idriss Mazari-Fouquer , Yannick Privat
2023
Pré-publication, Document de travail hal-04140334v1
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L1-Gradient Flow of Convex Functionals

Antonin Chambolle , Matteo Novaga
2023
Pré-publication, Document de travail hal-03805962v2
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Robust supervised classification and feature selection using a primal-dual method

Michel Barlaud , Antonin Chambolle , Jean-Baptiste Caillau
2019
Pré-publication, Document de travail hal-01992399v2
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Total Roto-Translational Variation

Antonin Chambolle , Thomas Pock
2017
Pré-publication, Document de travail hal-01593823v1
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Korn-Poincaré inequalities for functions with a small jump set

Antonin Chambolle , Sergio Conti , Gilles Francfort
2014
Pré-publication, Document de travail hal-01091710v1
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Existence and uniqueness for planar anisotropic and crystalline curvature flow.

Antonin Chambolle , Matteo Novaga
2013
Pré-publication, Document de travail hal-00786387v1
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A Non-Local Mean Curvature Flow and its semi-implicit time-discrete approximation

Antonin Chambolle , Massimiliano Morini , Marcello Ponsiglione
2012
Pré-publication, Document de travail hal-00662722v1
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A Remark on the Anisotropic Outer Minkowski content

Antonin Chambolle , Stefano Lisini , Luca Lussardi
2012
Pré-publication, Document de travail hal-00681922v2
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The Stress-Intensity Factor for nonsmooth fractures in antiplane elasticity.

Antonin Chambolle , Antoine Lemenant
2011
Pré-publication, Document de travail hal-00634460v2
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A first-order primal-dual algorithm for convex problems with applications to imaging

Antonin Chambolle , Thomas Pock
2010
Pré-publication, Document de travail hal-00490826v1
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The Hö̈lder infinite Laplacian and Hö̈lder extensions

Antonin Chambolle , Erik Lindgren , Régis Monneau
2010
Pré-publication, Document de travail hal-00488915v2
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Some Variations on Total Variation--Based Image Smoothing

Antonin Chambolle , Stacey Levine , Bradley Lucier
2009
Pré-publication, Document de travail hal-00370195v1
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An introduction to Total Variation for Image Analysis

Antonin Chambolle , Vicent Caselles , Matteo Novaga , Daniel Cremers , Thomas Pock
2009
Pré-publication, Document de travail hal-00437581v1
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Continuous limits of discrete perimeters

Antonin Chambolle , Alessandro Giacomini , Luca Lussardi
2009
Pré-publication, Document de travail hal-00360865v1
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Total Variation Minimization and Graph Cuts for Moving Objects Segmentation

Florent Ranchin , Antonin Chambolle , Françoise Dibos
2006
Pré-publication, Document de travail hal-00092007v1