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., 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
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., ?asica M. (2024), Inclusion and Estimates for the Jumps of Minimizers in Variational Denoising, SIAM Journal on Imaging Sciences, vol. 17, n°3, p. 1844 - 1878
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
Chambolle A., Novaga M. (2024), L1-Gradient Flow of Convex Functionals, SIAM Journal on Mathematical Analysis, vol. 56, n°5, p. 5747-5781
Braides A., Chambolle A. (2024), Ising systems, measures on the sphere, and zonoids, Tunisian Journal of Mathematics, vol. 6, n°2, p. 299–319
Chambolle A., Crismale V. (2023), A general compactness theorem in G(S)BD, Indiana University Mathematics Journal, p. 12
Chambolle A., De Gennaro D., Morini M. (2023), Minimizing Movements for Anisotropic and Inhomogeneous Mean Curvature Flows, Advances in Calculus of Variations, p. 43
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., 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
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., 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
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., 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
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., 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
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., 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., Slep?ev D. (2020), Mumford–Shah functionals on graphs and their asymptotics, Nonlinearity, vol. 33, n°8, p. 3846-3888
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., 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., 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., 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
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., 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., 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
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
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., 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), Generalized crystalline evolutions as limits of flows with smooth anisotropies, Analysis & PDE, vol. 12, n°3, p. 789-813
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., 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., 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
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., 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.
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.
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., 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., Novaga M. (2022), L1-Gradient Flow of Convex Functionals, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 24 p.
