Search Results - "Chambolle, Antonin"
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On the ergodic convergence rates of a first-order primal–dual algorithm
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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Inexact first-order primal–dual algorithms
Published in Computational optimization and applications (01-06-2020)“…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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Crouzeix–Raviart Approximation of the Total Variation on Simplicial Meshes
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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On Total Variation Minimization and Surface Evolution Using Parametric Maximum Flows
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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Korn and Poincaré-Korn inequalities for functions with a small jump set
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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Existence and Uniqueness for a Crystalline Mean Curvature Flow
Published in Communications on pure and applied mathematics (01-06-2017)“…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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Anisotropic tubular neighborhoods of sets
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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Convergence to line and surface energies in nematic liquid crystal colloids with external magnetic field
Published in Calculus of variations and partial differential equations (01-06-2024)“…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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The Saturn Ring Effect in Nematic Liquid Crystals with External Field: Effective Energy and Hysteresis
Published in Archive for rational mechanics and analysis (01-09-2021)“…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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Product of Gaussian Mixture Diffusion Models
Published in Journal of mathematical imaging and vision (2024)“…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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Convergent Plug-and-Play with Proximal Denoiser and Unconstrained Regularization Parameter
Published in Journal of mathematical imaging and vision (2024)“…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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Diagonal preconditioning for first order primal-dual algorithms in convex optimization
Published in 2011 International Conference on Computer Vision (01-11-2011)“…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 -
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Preface to the Special Issue on Optimization for Data Sciences
Published in Applied mathematics & optimization (01-12-2020)Get full text
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Stochastic Primal–Dual Hybrid Gradient Algorithm with Adaptive Step Sizes
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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Anisotropic curvature-driven flow of convex sets
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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A First-Order Primal-Dual Algorithm for Convex Problems with Applications to Imaging
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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Image recovery via total variation minimization and related problems
Published in Numerische Mathematik (01-04-1997)Get full text
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18
Compactness and lower semicontinuity in $GSBD
Published in Journal of the European Mathematical Society : JEMS (01-01-2021)“…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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Total roto-translational variation
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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Existence of strong solutions to the Dirichlet problem for the Griffith energy
Published in Calculus of variations and partial differential equations (01-08-2019)“…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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