Preprints

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

    Q. Denoyelle, V. Duval, G. Peyré, E. Soubies. Hal preprint, November 2018

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

    Paul Catala, Vincent Duval, Gabriel Peyré. arXiv preprint, December 2017


Journal Papers

  1. On Representer Theorems and Convex Regularization

    C. Boyer, A. Chambolle, Y. De Castro, V. Duval, F. de Gournay, P. Weiss. Accepted for publication at SIAM J. on Optimization, 2019

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

    Vincent Duval. Accepted for publication at Information and Inference: A Journal of the IMA, 2019

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

    Jean-David Benamou, Vincent Duval. Accepted for publication at European Journal of Applied Mathematics, 2018

  4. Sampling the Fourier transform along radial lines

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

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

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

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

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

  7. 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

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

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

  9. 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

  10. 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 www.esaim-m2an.org

  11. 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

  12. 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

  13. 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

  14. 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

  15. 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

  • 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.

  • Variational and non-local methods in image processing: a geometric study

    Vincent Duval

    Advisors: Yann Gousseau, Jean-François Aujol