CEREMADE
Chambolle Antonin
CNRS Senior Researcher
Biography
Antonin Chambolle is a CNRS senior scientist, specialist in numerical analysis and optimisation of non-smooth problems with applications in image analysis and reconstruction, fracture mechanics, interface evolution. From 2003 to 2020 he was with the CMAP, Centre de Mathématiques Appliquées of Ecole Polytechnique and CNRS (Palaiseau, France). He was the head of the CMAP from 2009 until 2015. He spent then a year in the Cambridge Image Analysis group in DAMTP, U. Cambridge, UK, and as a "French Government Fellow" in Churchill College. He was then until 2020 the head of the scientific committee of the "PGMO" (Programme Gaspard Monge pour l'Optimisation et la Recherche Opérationnelle, Fondation Mathématique Jacques Hadamard) and in 2019-2020 one of the deputy directors of the doctoral studies at Ecole Doctorale Mathématique Hadamard (EDMH). He is now with CEREMADE since Sept. 2020, member of the board of the Doctoral school "SDOSE" and coordinator of the "PDE-AI" project of the national initiative "PEPR-IA" launched in 2023.
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Publications
Articles
Alouges F., Chambolle A., Stantejsky D. (2024), Convergence to line and surface energies in nematic liquid crystal colloids with external magnetic field, Calculus of Variations and Partial Differential Equations, vol. 63, n°129 
Braides A., Chambolle A. (2024), Ising systems, measures on the sphere, and zonoids, Tunisian Journal of Mathematics, vol. 6, n°2, p. 299–319
Caillaud C., Chambolle A. (2023), Error estimates for finite differences approximations of the total variation, IMA Journal of Numerical Analysis, vol. 43, n°2, p. 692–736
Chambolle A., De Gennaro D., Morini M. (2023), Minimizing Movements for Anisotropic and Inhomogeneous Mean Curvature Flows, Advances in Calculus of Variations, p. 43
Chambolle A., Crismale V. (2023), Equilibrium Configurations For Nonhomogeneous Linearly Elastic Materials With Surface Discontinuities, Annali della Scuola Normale Superiore di Pisa, vol. XXIV, n°3, p. 1575-1610
Chambolle A., Kreutz L. (2023), Crystallinity of the homogenized energy density of periodic lattice systems, Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, vol. 21, n°1
Chambolle A., Tovey R. (2022), FISTA" in Banach spaces with adaptive discretisations", Computational Optimization and Applications, p. 36
Bogensperger L., Chambolle A., Pock T. (2022), Convergence of a Piggyback-style method for the differentiation of solutions of standard saddle-point problems, SIAM Journal on Mathematics of Data Science, vol. 4, n°3
Chambolle A., Novaga M. (2022), Anisotropic and crystalline mean curvature flow of mean-convex sets, Annali della Scuola Normale Superiore di Pisa, vol. XXIII, n°2, p. 623-643
Cagnetti F., Chambolle A., Scardia L. (2022), Korn and Poincaré-Korn inequalities for functions with a small jump set, Mathematische Annalen, vol. 383, p. 1179–1216
Chambolle A., Contreras J. (2022), Accelerated Bregman primal-dual methods applied to optimal transport and Wasserstein Barycenter problems, SIAM Journal on Mathematics of Data Science, vol. 4, n°4
Chambolle A., Crismale V. (2021), Compactness and lower semicontinuity in GSBD, Journal of the European Mathematical Society
Cagnetti F., Chambolle A., Perugini M., Scardia L. (2021), An Extension Result for Generalised Special Functions of Bounded Deformation, Journal of Convex Analysis, vol. 28, n°2, p. 457--470
Alouges F., Chambolle A., Stantejsky D. (2021), The Saturn Ring Effect in Nematic Liquid Crystals with External Field: Effective Energy and Hysteresis, Archive for Rational Mechanics and Analysis, vol. 241, p. 1403-1457
Chambolle A., Pock T. (2021), Learning Consistent Discretizations of the Total Variation, SIAM Journal on Imaging Sciences, vol. 14, n°2, p. 778-813
Chambolle A., Laux T. (2021), Mullins-Sekerka as the Wasserstein flow of the perimeter, Proceedings of the American Mathematical Society, vol. 149, n°7, p. 2943-2956
Bungert L., Burger M., Chambolle A., Novaga M. (2021), Nonlinear spectral decompositions by gradient flows of one-homogeneous functionals, Analysis & PDE, vol. 14, n°3, p. 823-860
Chambolle A., Lussardi L., Villa E. (2021), Anisotropic tubular neighborhoods of sets, Mathematische Zeitschrift, vol. 299, p. 1257–1274
Bellettini G., Chambolle A., Kholmatov S. (2020), Minimizing movements for forced anisotropic mean curvature flow of partitions with mobilities, Proceedings of the Royal Society of Edinburgh. Section A, Mathematical and Physical Sciences, vol. 151, n°4, p. 1135-1170
Chambolle A., Novaga M., Pagliari V. (2020), On the convergence rate of some nonlocal energies, Journal of Nonlinear Analysis and Optimization: Theory & Applications, vol. 200, n°Novembre 2020, p. 112016
Rasch J., Chambolle A. (2020), Inexact first-order primal–dual algorithms, Computational Optimization and Applications, vol. 76, n°2, p. 381-430
Chambolle A., Pock T. (2020), Crouzeix–Raviart Approximation of the Total Variation on Simplicial Meshes, Journal of Mathematical Imaging and Vision, vol. 62, n°6-7, p. 872-899
Caroccia M., Chambolle A., Slepčev D. (2020), Mumford–Shah functionals on graphs and their asymptotics, Nonlinearity, vol. 33, n°8, p. 3846-3888
Chambolle A., Holler M., Pock T. (2020), A Convex Variational Model for Learning Convolutional Image Atoms from Incomplete Data, Journal of Mathematical Imaging and Vision, vol. 62, n°3, p. 417-444
Chambolle A., Crismale V. (2020), Phase-field approximation for a class of cohesive fracture energies with an activation threshold, Advances in Calculus of Variations
Chambolle A., Morini M., Novaga M., Ponsiglione M. (2019), Existence and uniqueness for anisotropic and crystalline mean curvature flows, Journal of the American Mathematical Society, vol. 32, n°3, p. 779-824
Calatroni L., Chambolle A. (2019), Backtracking Strategies for Accelerated Descent Methods with Smooth Composite Objectives, SIAM Journal on Optimization, vol. 29, n°3, p. 1772-1798
Chambolle A., Crismale V. (2019), Existence of strong solutions to the Dirichlet problem for the Griffith energy, Calculus of Variations and Partial Differential Equations, vol. 58, n°4
Chambolle A., Crismale V. (2019), A Density Result in GSBDp with Applications to the Approximation of Brittle Fracture Energies, Archive for Rational Mechanics and Analysis, vol. 232, n°3, p. 1329-1378
Chambolle A., Pock T. (2019), Total roto-translational variation, Numerische Mathematik, vol. 142, n°3, p. 611-666
Chambolle A., Ferrari L., Merlet B. (2019), Strong approximation in h-mass of rectifiable currents under homological constraint, Advances in Calculus of Variations
Buzzard G., Chambolle A., Cohen J., Levine S., Lucier B. (2019), Pointwise Besov Space Smoothing of Images, Journal of Mathematical Imaging and Vision, vol. 61, n°1, p. 1-20
Chambolle A., Ferrari L., Merlet B. (2019), A phase-field approximation of the Steiner problem in dimension two, Advances in Calculus of Variations, vol. 12, n°2, p. 157-179
Chambolle A., Morini M., Novaga M., Ponsiglione M. (2019), Generalized crystalline evolutions as limits of flows with smooth anisotropies, Analysis & PDE, vol. 12, n°3, p. 789-813
Boyer C., Chambolle A., De Castro Y., Duval V., de Gournay F., Weiss P. (2019), On Representer Theorems and Convex Regularization, SIAM Journal on Optimization, vol. 29, n°2, p. 1260–1281
Chambolle A., Conti S., Iurlano F. (2019), Approximation of functions with small jump sets and existence of strong minimizers of Griffith's energy, Journal de mathématiques pures et appliquées, vol. 128, n°Aît 2019, p. 119-139
Chambolle A., Ferrari L., Merlet B. (2019), Variational approximation of size-mass energies for k-dimensional currents, ESAIM. Control, Optimisation and Calculus of Variations, vol. 25, p. 43
Chambolle A., Pock T. (2016), An introduction to continuous optimization for imaging, Acta Numerica, vol. 25, p. 161-319
Chambolle A., Pock T. (2011), A First-Order Primal-Dual Algorithm for Convex Problems with Applications to Imaging, Journal of Mathematical Imaging and Vision, vol. 40, n°1, p. 120-145
Belahmidi A., Chambolle A. (2005), Time-delay regularization of anisotropic diffusion and image processing, ESAIM: Mathematical Modelling and Numerical Analysis, vol. Vol.39, n°2, p. 231-251
Chapitres d'ouvrage
Chambolle A., Pock T. (2021), Approximating the total variation with finite differences or finite elements, in Andrea Bonito, Ricardo H. Nochetto, Handbook of Numerical Analysis: Geometric Partial Differential Equations II, volume 22 Elsevier, p. 383-417
Communications avec actes
Hurault S., Chambolle A., Leclaire A., Papadakis N. (2023), A relaxed proximal gradient descent algorithm for convergent plug-and-play with proximal denoiser, in Calatroni, L., Donatelli, M., Morigi, S., Prato, M., Santacesaria, M., Springer, 379–392 p.
Bogensperger L., Chambolle A., Effland A., Pock T. (2023), Learned Discretization Schemes for the Second-Order Total Generalized Variation, in Luca Calatroni, Marco Donatelli, Serena Morigi, Marco Prato, Matteo Santacesaria, Springer, 484-497 p.
Chambolle A., Duval V., Machado J. (2023), The Total Variation-Wasserstein Problem, in Nielsen, F., Barbaresco, F. (eds), Berlin Heidelberg, Springer International Publishing, 610-619 p.
Zach M., Pock T., Kobler E., Chambolle A. (2023), Explicit Diffusion of Gaussian Mixture Model Based Image Priors, in Luca Calatroni, Marco Donatelli, Serena Morigi, Marco Prato, Matteo Santacesaria, Santa Margherita di Pula (Cagliari), Lecture Notes in Computer Science, 3-15 p.
Chambolle A., Duval V., Peyré G., Poon C. (2016), Total Variation Denoising and Support Localization of the Gradient, in , Cachan, Journal of Physics. Conference Series
Prépublications / Cahiers de recherche
Chambolle A., De Gennaro D., Morini M. (2024), Discrete-to-continuous crystalline curvature flows, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 37 p.
Chambolle A., Łasica M. (2023), Inclusion and estimates for the jumps of minimizers in variational denoising, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 31 p.
Bucur D., Chambolle A., Giacomini A., Nahon M. (2023), A free discontinuity approach to optimal profiles in stokes flows, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 41 p.
Chambolle A., Mazari I., Privat Y. (2023), Stability of optimal shapes and convergence of thresholding algorithms in linear and spectral optimal control problems, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 32 p.
Chambolle A., Delplancke C., Ehrhardt M., Schönlieb C-B., Tang J. (2023), Stochastic Primal Dual Hybrid Gradient Algorithm with Adaptive Step-Sizes, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 24 p.
Chambolle A. (2023), Existence of minimizers in the variational approach to brittle fracture, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 19 p.
Hurault S., Chambolle A., Leclaire A., Papadakis N. (2023), Convergent plug-and-play with proximal denoiser and unconstrained regularization parameter, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 39 p.
Chambolle A., Mazari I., Privat Y. (2023), Stability of optimal shapes and convergence of thresholding algorithms in linear and spectral optimal control problems: Supplementary material, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 19 p.
Chambolle A., Duval V., Machado J. (2023), 1D approximation of measures in Wasserstein spaces, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 38 p.
Chambolle A., Crismale V. (2022), A general compactness theorem in G(S)BD, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 12 p.
Chambolle A., Novaga M. (2022), L1-Gradient Flow of Convex Functionals, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 24 p.