Chambolle Antonin - CV

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Chambolle Antonin

Directeur de recherche CNRS

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Biographie

Antonin Chambolle est directeur de recherches au CNRS. Il est spécialiste d'analyse, analyse numérique et optimisation de problèmes variationnels non réguliers, avec notamment des applications en traitement d'images et de données ou en mécanique. Il était, de 2003 à 2020, membre du CMAP, Centre de Mathématiques Appliquées, UMR7641 du CNRS à l'École polytechnique (Palaiseau). Il a dirigé le CMAP de 2009 à 2015, puis, après une année passée en temps que "French Government Fellow" à Churchill College, Cambridge et au Cambridge Image Analysis group (département de mathématiques appliquées et physique théorique, U. Cambridge), il a été jusqu'en 2020 président du conseil scientifique du Programme Gaspard Monge pour l'Optimisation et la Recherche Opérationnelle (PGMO, Fondation Mathématique Jacques Hadamard), dont il est toujours membre du comité de pilotage et du conseil scientifique. En en 2019-2020, il a été directeur adjoint de l'Ecole Doctoral Mathématique Hadamard (EDMH). Il est membre du CEREMADE depuis septembre 2020, représentant adjoint des mathématiques auprès de l'école doctorale SDOSE, et coordinateur du projet "PDE-AI" du PEPR IA lancé en 2023.

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Publications

Articles

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., De Gennaro D., Morini M. (2023), Minimizing Movements for Anisotropic and Inhomogeneous Mean Curvature Flows, Advances in Calculus of Variations, p. 43

Chambolle A., Kreutz L. (2023), Crystallinity of the homogenized energy density of periodic lattice systems, 1540-3459, vol. 21, n°1

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., 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

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

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., Tovey R. (2022), FISTA" in Banach spaces with adaptive discretisations", Computational Optimization and Applications, p. 36

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

  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., 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

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., 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

Bellettini G., Chambolle A., Kholmatov S. (2020), Minimizing movements for forced anisotropic mean curvature flow of partitions with mobilities, 0308-2105, 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., 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

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., 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

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

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

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, 2199-1413, vol. 58, n°4

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, 0764583X, 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.

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., Machado J. (2023), The Total Variation-Wasserstein Problem, in Nielsen, F., Barbaresco, F. (eds), Berlin Heidelberg, Springer International Publishing, 610-619 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

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: Supplementary material, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 19 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.

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.

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. (2023), Existence of minimizers in the variational approach to brittle fracture, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 19 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., 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.

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