Articles

Chambolle A., Duval V., Machado J. (2025), One-dimensional approximation of measures in Wasserstein distance, Journal de l'école Polytechnique. Mathématiques, vol. 12 (2025), p. 101-145

Chambolle A., Łasica . (2024), Inclusion and Estimates for the Jumps of Minimizers in Variational Denoising, SIAM Journal on Imaging Sciences, vol. 17, n°3, p. 1844 - 1878

Chambolle A., Delplancke C., Ehrhardt M., Schönlieb C-B., Tang J. (2024), Stochastic Primal–Dual Hybrid Gradient Algorithm with Adaptive Step Sizes, Journal of Mathematical Imaging and Vision, vol. 66, n°3, p. 294-313

Braides A., Chambolle A. (2024), Ising systems, measures on the sphere, and zonoids, Tunisian Journal of Mathematics, vol. 6, n°2, p. 299–319

Bucur D., Chambolle A., Giacomini A., Nahon M. (2024), A free discontinuity approach to optimal profiles in Stokes flows, Annales de l'Institut Henri Poincaré (C) Analyse non linéaire, p. 41

Zach M., Kobler E., Chambolle A., Pock T. (2024), Product of Gaussian Mixture Diffusion Models, Journal of Mathematical Imaging and Vision, vol. 66, p. 504-528

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

Chambolle A., Novaga M. (2024), L1-Gradient Flow of Convex Functionals, SIAM Journal on Mathematical Analysis, vol. 56, n°5, p. 5747-5781

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

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., 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., Crismale V. (2023), A general compactness theorem in G(S)BD, Indiana University Mathematics Journal, p. 12

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

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

  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., Lussardi L., Villa E. (2021), Anisotropic tubular neighborhoods of sets, Mathematische Zeitschrift, vol. 299, p. 1257–1274

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

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., 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

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

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., 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

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., 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

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

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

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

Chambolle A., Lamboley J., Lemenant A., Stepanov E. (2017), Regularity for the optimal compliance problem with length penalization, SIAM Journal on Mathematical Analysis, vol. 49, n°2, p. 1166–1224

Chambolle A., Pock T. (2016), An introduction to continuous optimization for imaging, Acta Numerica, vol. 25, p. 161-319

Chambolle A., Duval V., Peyré G., Poon C. (2016), Geometric properties of solutions to the total variation denoising problem, Inverse Problems, vol. 33, n°1

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

Alter F., Caselles V., Chambolle A. (2005), Evolution of characteristic functions of convex sets in the plane by the minimizing total variation flow, Interfaces and Free Boundaries, vol. 7, n°1, p. 29-53

Grandmont C., Chambolle A., Esteban M., Desjardins B. (2005), Existence of Weak Solutions for the Unsteady Interaction of a Viscous Fluid with an Elastic Plate, Journal of Mathematical Fluid Mechanics, vol. 7, n°3, p. 368-404

Aujol J-F., Aubert G., Chambolle A., Blanc Feraud L. (2005), Image decomposition into a bounded variation component and an oscillating component, Journal of Mathematical Imaging and Vision, vol. 22, n°1, p. 71-88

Chambolle A., Alter F., Caselles V. (2005), A characterization of convex calibrable sets in IRⁿ, Mathematische Annalen, vol. 332, n°2, p. 329-366

Chambolle A., Belahmidi A. (2005), Time-Delay Regularization of Anisotropic Diffusion and Image Processing, ESAIM: Mathematical Modelling and Numerical Analysis, vol. 39, n°2, p. 231-251

Chambolle A. (2004), An Algorithm for Total Variation Minimization and Applications, Journal of Mathematical Imaging and Vision, vol. 20, n°1-2, p. 89-97

Chambolle A. (2004), An approximation result for special functions with bounded deformation, Journal de mathématiques pures et appliquées, vol. 83, n°7, p. 929-954

Chambolle A. (2004), An algorithm for Mean Curvature Motion, Interfaces and Free Boundaries, vol. 6, n°2, p. 195-218

Chambolle A., Larsen C. (2003), C∞ regularity of the free boundary for a two–dimensional optimal compliance problem, Calculus of Variations and Partial Differential Equations, vol. 18, n°1, p. 77-94

Chambolle A. (2003), A Density Result in Two-Dimensional Linearized Elasticity, and Applications, Archive for Rational Mechanics and Analysis, vol. 167, n°3, p. 211-233

Chambolle A., Bourdin B. (2003), Design-dependent loads in topology optimization, ESAIM. Control, Optimisation and Calculus of Variations, vol. 9, p. 19-48

Chambolle A., Bonnetier E. (2002), Computing the Equilibrium Configuration of Epitaxially Strained Crystalline Films, SIAM Journal on Applied Mathematics, vol. 62, n°4, p. 1093-1121

Chambolle A. (2001), Convex Representation for Lower Semicontinuous Envelopes of Functionals in L1, Journal of Convex Analysis, vol. 8, n°1, p. 149-170

Chambolle A., Bourdin B. (2000), Implementation of an adaptive finite-element approximation of the Mumford-Shah functional, Numerische Mathematik, vol. 85, n°4, p. 609-646

Chambolle A. (1999), Finite-differences discretizations of the Mumford-Shah functional, ESAIM: Mathematical Modelling and Numerical Analysis, vol. 33, n°3, p. 261-288

Chambolle A., Dal Maso G. (1999), Discrete approximation of the Mumford-Shah functional in dimension two, ESAIM: Mathematical Modelling and Numerical Analysis, vol. 33, n°4, p. 651-672

Chambolle A., Lee N-Y., Lucier B., DeVore R. (1998), Nonlinear Wavelet Image Processing: Variational Problems, Compression, and Noise Removal through Wavelet Shrinkage, IEEE Transactions on Image Processing, vol. 7, n°3, p. 319-335

Chambolle A., Lions P-L. (1997), Image recovery via total variation minimization and related problems, Numerische Mathematik, vol. 76, n°2, p. 167-188

Chambolle A. (1995), Image Segmentation by Variational Methods: Mumford and Shah Functional and the Discrete Approximations, SIAM Journal on Applied Mathematics, vol. 55, n°3, p. 827-863

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

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.

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., Peyré G., Poon C. (2016), Total Variation Denoising and Support Localization of the Gradient, in , Cachan, Journal of Physics. Conference Series

Chambolle A., Dibos F., Ranchin F. (2010), Total Variation Minimization and Graph Cuts for Moving Objects Segmentation, in Sgallari, Fiorella, Scale Space and Variational Methods in Computer Vision, Ischia, Springer, 931 p.

Aubert G., Chambolle A., Blanc Feraud L., Bect J. (2004), A l1-unified variational framework for image restoration, in Pajdla, Tomas, Computer Vision - ECCV 2004. 8th European Conference on Computer Vision, Prague, Czech Republic, May 11-14, 2004. Proceedings, Part IV., Prague, Springer, 633 p.

Prépublications / Cahiers de recherche

Bretin É., Chambolle A., Masnou S. (2024), A Cahn--Hilliard--Willmore phase field model for non-oriented interfaces, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 31 p.

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., 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.

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, 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.

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

Chambolle A., Novaga M. (2022), L1-Gradient Flow of Convex Functionals, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 24 p.