Articles

Cagnetti F., Chambolle A., Scardia L. (2021), Korn and Poincaré-Korn inequalities for functions with a small jump set, Mathematische Annalen, p. 29

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., 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., Novaga M. (2021), Anisotropic and crystalline mean curvature flow of mean-convex sets, Annali della Scuola Normale Superiore di Pisa, p. 17

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

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., 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

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., 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

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

Prépublications / Cahiers de recherche

Bogensperger L., Chambolle A., Pock T. (2022), Convergence of a Piggyback-style method for the differentiation of solutions of standard saddle-point problems, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 22 p.

Chambolle A., Tovey R. (2021), "FISTA" in Banach spaces with adaptive discretisations, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 36 p.

Chambolle A., Crismale V. (2021), Equilibrium Configurations For Nonhomogeneous Linearly Elastic Materials With Surface Discontinuities, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 25 p.

Chambolle A., Kreutz L. (2021), Crystallinity of the homogenized energy density of periodic lattice systems, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 38 p.

Caillaud C., Chambolle A. (2020), Error estimates for finite differences approximations of the total variation, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 47 p.