Search Results - "Chambolle, Antonin"

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  1. 1

    On the ergodic convergence rates of a first-order primal–dual algorithm by Chambolle, Antonin, Pock, Thomas

    Published in Mathematical programming (01-09-2016)
    “…We revisit the proofs of convergence for a first order primal–dual algorithm for convex optimization which we have studied a few years ago. In particular, we…”
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    Journal Article
  2. 2

    Inexact first-order primal–dual algorithms by Rasch, Julian, Chambolle, Antonin

    “…We investigate the convergence of a recently popular class of first-order primal–dual algorithms for saddle point problems under the presence of errors in the…”
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    Journal Article
  3. 3

    Crouzeix–Raviart Approximation of the Total Variation on Simplicial Meshes by Chambolle, Antonin, Pock, Thomas

    Published in Journal of mathematical imaging and vision (01-07-2020)
    “…We propose an adaptive implementation of a Crouzeix–Raviart-based discretization of the total variation, which has the property of approximating from below the…”
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    Journal Article
  4. 4

    On Total Variation Minimization and Surface Evolution Using Parametric Maximum Flows by Chambolle, Antonin, Darbon, Jérôme

    Published in International journal of computer vision (01-09-2009)
    “…In a recent paper Boykov et al. (LNCS, Vol. 3953, pp. 409–422, 2006 ) propose an approach for computing curve and surface evolution using a variational…”
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    Journal Article
  5. 5

    Korn and Poincaré-Korn inequalities for functions with a small jump set by Cagnetti, Filippo, Chambolle, Antonin, Scardia, Lucia

    Published in Mathematische annalen (01-08-2022)
    “…In this paper we prove a regularity and rigidity result for displacements in G S B D p , for every p > 1 and any dimension n ≥ 2 . We show that a displacement…”
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    Journal Article
  6. 6

    Existence and Uniqueness for a Crystalline Mean Curvature Flow by Chambolle, Antonin, Morini, Massimiliano, Ponsiglione, Marcello

    “…An existence and uniqueness result, up to fattening, for a class of crystalline mean curvature flows with natural mobility is proved. The results are valid in…”
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    Journal Article
  7. 7

    Anisotropic tubular neighborhoods of sets by Chambolle, Antonin, Lussardi, Luca, Villa, Elena

    Published in Mathematische Zeitschrift (01-12-2021)
    “…Let E ⊂ R N be a compact set and C ⊂ R N be a convex body with 0 ∈ int C . We prove that the topological boundary of the anisotropic enlargement E + r C is…”
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    Journal Article
  8. 8

    Convergence to line and surface energies in nematic liquid crystal colloids with external magnetic field by Alouges, François, Chambolle, Antonin, Stantejsky, Dominik

    “…We use the Landau-de Gennes energy to describe a particle immersed into nematic liquid crystals with a constant applied magnetic field. We derive a limit…”
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    Journal Article
  9. 9

    The Saturn Ring Effect in Nematic Liquid Crystals with External Field: Effective Energy and Hysteresis by Alouges, François, Chambolle, Antonin, Stantejsky, Dominik

    “…In this work we consider the Landau–de Gennes model for liquid crystals with an external magnetic field to model the occurrence of the Saturn ring effect under…”
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    Journal Article
  10. 10

    Product of Gaussian Mixture Diffusion Models by Zach, Martin, Kobler, Erich, Chambolle, Antonin, Pock, Thomas

    “…In this work, we tackle the problem of estimating the density f X of a random variable X by successive smoothing, such that the smoothed random variable Y…”
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    Journal Article
  11. 11

    Convergent Plug-and-Play with Proximal Denoiser and Unconstrained Regularization Parameter by Hurault, Samuel, Chambolle, Antonin, Leclaire, Arthur, Papadakis, Nicolas

    “…In this work, we present new proofs of convergence for plug-and-play (PnP) algorithms. PnP methods are efficient iterative algorithms for solving image inverse…”
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    Journal Article
  12. 12

    Diagonal preconditioning for first order primal-dual algorithms in convex optimization by Pock, T., Chambolle, A.

    “…In this paper we study preconditioning techniques for the first-order primal-dual algorithm proposed in [5]. In particular, we propose simple and easy to…”
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    Conference Proceeding
  13. 13
  14. 14

    Stochastic Primal–Dual Hybrid Gradient Algorithm with Adaptive Step Sizes by Chambolle, Antonin, Delplancke, Claire, Ehrhardt, Matthias J., Schönlieb, Carola-Bibiane, Tang, Junqi

    Published in Journal of mathematical imaging and vision (01-06-2024)
    “…In this work, we propose a new primal–dual algorithm with adaptive step sizes. The stochastic primal–dual hybrid gradient (SPDHG) algorithm with constant step…”
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    Journal Article
  15. 15

    Anisotropic curvature-driven flow of convex sets by Caselles, Vicent, Chambolle, Antonin

    Published in Nonlinear analysis (01-10-2006)
    “…We study in this paper the mean curvature evolution, and in particular the anisotropic mean curvature evolution, of convex sets in R N (without driving…”
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    Journal Article
  16. 16

    A First-Order Primal-Dual Algorithm for Convex Problems with Applications to Imaging by Chambolle, Antonin, Pock, Thomas

    Published in Journal of mathematical imaging and vision (01-05-2011)
    “…In this paper we study a first-order primal-dual algorithm for non-smooth convex optimization problems with known saddle-point structure. We prove convergence…”
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    Journal Article
  17. 17
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    Compactness and lower semicontinuity in $GSBD by Chambolle, Antonin, Crismale, Vito

    “…In this paper we prove a compactness and semicontinuity result in GSBD for sequences with bounded Griffith energy. This generalises classical results in ( G )…”
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    Journal Article
  19. 19

    Total roto-translational variation by Chambolle, Antonin, Pock, Thomas

    Published in Numerische Mathematik (01-07-2019)
    “…We consider curvature depending variational models for image regularization, such as Euler’s elastica. These models are known to provide strong priors for the…”
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    Journal Article
  20. 20

    Existence of strong solutions to the Dirichlet problem for the Griffith energy by Chambolle, Antonin, Crismale, Vito

    “…In this paper we continue the study of the Griffith brittle fracture energy minimisation under Dirichlet boundary conditions, suggested by Francfort and Marigo…”
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    Journal Article