Articles

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., 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

Caillaud C., Chambolle A. (2022), Error estimates for finite differences approximations of the total variation, IMA Journal of Numerical Analysis, p. 47

Chambolle A., Crismale V. (2022), Equilibrium Configurations For Nonhomogeneous Linearly Elastic Materials With Surface Discontinuities, Annali della Scuola Normale Superiore di Pisa, p. 25

  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., 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

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, 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., 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

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

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, 2199-1413, 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., 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

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.

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.

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., 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., 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., Duval V., Machado J. (2023), 1D approximation of measures in Wasserstein spaces, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 38 p.

Bucur D., Chambolle A., Giacomini A., Nahon M. (2023), A free discontinuity approach to optimal profiles in stokes flows, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 41 p.

Chambolle A., De Gennaro D., Morini M. (2022), Minimizing Movements for Anisotropic and Inhomogeneous Mean Curvature Flows, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 43 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.

Alouges F., Chambolle A., Stantejsky D. (2022), Convergence to line and surface energies in nematic liquid crystal colloids with external magnetic field, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 42 p.