1. Exact recovery of the support of piecewise constant images via total variation regularization

    Yohann De Castro, Vincent Duval, Romain Petit. HAL preprint, 2023

  2. 1D approximation of measures in Wasserstein spaces

    Antonin Chambolle, Vincent Duval, Joao-Miguel Machado. HAL preprint, 2023

Journal Papers

  1. Dynamical Programming for off-the-grid dynamic Inverse Problems

    Robert Tovey, Vincent Duval. Accepted for publication at ESAIM: Control, Optimisation and Calculus of Variations, 2023

  2. Towards Off-the-grid Algorithms for Total Variation Regularized Inverse Problems

    Yohann De Castro, Vincent Duval, Romain Petit. Journal of Mathematical Imaging and Vision, 2022

  3. An Epigraphical Approach to the Representer Theorem

    Vincent Duval. Journal of Convex Analysis, 28 (3), 2021

  4. Sparse analysis for mesoscale convective systems tracking

    Jean-Baptiste Courbot, Vincent Duval, Bernard Legras. Signal Processing: Image Communication, 85, 2020

  5. The Sliding Frank-Wolfe Algorithm and its Application to Super-Resolution Microscopy

    Q. Denoyelle, V. Duval, G. Peyré, E. Soubies. Inverse Problems, 36 (1), 2019

  6. On Representer Theorems and Convex Regularization

    C. Boyer, A. Chambolle, Y. De Castro, V. Duval, F. de Gournay, P. Weiss. SIAM J. on Optimization, 29 (2), 2019

  7. A Characterization of the Non-Degenerate Source Condition in Super-Resolution

    Vincent Duval. Information and Inference: A Journal of the IMA, 9 (1), 2019

  8. A Low-Rank Approach to Off-The-Grid Sparse Deconvolution

    Paul Catala, Vincent Duval, Gabriel Peyré. SIAM Journal on Imaging Sciences, 12 (3), 2019

  9. Minimal convex extensions and finite difference discretization of the quadratic Monge-Kantorovich problem

    Jean-David Benamou, Vincent Duval. European Journal of Applied Mathematics, 30 (6), 2019

  10. Sampling the Fourier transform along radial lines

    Charles Dossal, Vincent Duval, Clarice Poon. SIAM J. on Numerical Analysis, 55 (6), 2017

  11. Sparse Spikes Super-resolution on Thin grids II: the Continuous Basis-Pursuit

    Vincent Duval, Gabriel Peyré. Inverse Problems, 33 (9), 2017

  12. Sparse Spikes Super-resolution on Thin grids I: the LASSO

    Vincent Duval, Gabriel Peyré. Inverse Problems, 33 (5), 2017

  13. Convergence of Entropic Schemes for Optimal Transport and Gradient Flows

    Guillaume Carlier, Vincent Duval, Gabriel Peyré, Bernhard Schmitzer. SIAM Journal on Mathematical Analysis, 49 (2), 2017

  14. Geometric properties of solutions to the total variation denoising problem

    Antonin Chambolle, Vincent Duval, Gabriel Peyré, Clarice Poon. Inverse Problems, 33 (1), 2016

  15. Support Recovery for Sparse Super-Resolution of Positive Measures

    Quentin Denoyelle, Vincent Duval, Gabriel Peyré. J. of Fourier Analysis and Applications, 2016, DOI 10.1007/s00041-016-9502-x

  16. A Gamma-Convergence Result for the Upper Bound Limit Analysis of Plates

    Jérémy Bleyer, Guillaume Carlier, Vincent Duval, Jean-Marie Mirebeau, Gabriel Peyré. ESAIM: Mathematical Modelling and Numerical Analysis, 50 (1) January 2016

    The original manuscript publication is available at

  17. Exact Support Recovery for Sparse Spikes Deconvolution

    Vincent Duval, Gabriel Peyré. J. of Foundations of Computational Mathematics, DOI 10.1007/s10208-014-9228-6, pp. 1-41, 2014

  18. Non-local Methods with Shape-Adaptive Patches (NLM-SAP)

    Charles-Alban Deledalle, Vincent Duval, Joseph Salmon. J. Math. Imaging Vis., 43 (2), pp. 103-120, 2012

  19. A bias-varance approach for the non-local means

    Vincent Duval, Jean-François Aujol, Yann Gousseau. SIAM Journal on Imaging Sciences, 4 (2), pp. 760-788, 2011

  20. Mathematical Modeling of Textures: Application to Color Image Decomposition with a Projected Gradient Algorithm

    Vincent Duval, Jean-François Aujol, Luminita Vese. J. Math. Imaging Vis., 37 (3), pp. 232-248, 2010

  21. The TVL1 model: a Geometric Point of View

    Vincent Duval, Jean-François Aujol, Yann Gousseau. SIAM Journal on Multiscale Model. Simul., 8 (1), pp. 154-189, 2009

Refeered conference papers

PhD Thesis and others

  • (Habilitation thesis) Faces and extreme points of convex sets for the resolution of inverse problems

    Vincent Duval

  • A comparative analysis of the TVL1 and the TV-G models

    Vincent Duval

    HAL preprint, December 2013. This report was written to apply to the Vincent Caselles Student Award.

  • (PhD thesis) Variational and non-local methods in image processing: a geometric study

    Vincent Duval

    Advisors: Yann Gousseau, Jean-François Aujol