Curriculum vitae

Duval Vincent

INRIA Researcher
CEREMADE

vduvalping@ceremade.dauphinepong.fr
Office : C618bis
Personal URL

Biography

Vincent Duval is an INRIA researcher in the MOKAPLAN team. After completing his engineering studies in applied mathematics at Ecole polytechnique and Télécom ParisTech, he obtained a PhD degree in 20011 at Télécom ParisTech for his thesis on denoising methods in imaging. Then, he worked for almost two years at the ANSSI as an engineer. In 2013, he joined Gabriel Peyré's team for a postdoc in CEREMADE. In 2014, he obtained a position as an INRIA researcher (détaché du corps des Mines) in the MOKAPLAN team. He obtained the "habilitation à diriger des recherches" in 2022. His research interests include variational problems in the space of measures, with applications in image processing or physics.

Latest publications

Articles

De Castro Y., Duval V., Petit R. (2022), Towards Off-the-Grid Algorithms for Total Variation Regularized Inverse Problems, Journal of Mathematical Imaging and Vision, p. 25

Duval V. (2021), An Epigraphical Approach to the Representer Theorem, Journal of Convex Analysis, vol. 28, n°3, p. 819-836

Courbot J-B., Duval V., Legras B. (2020), Sparse analysis for mesoscale convective systems tracking, Signal Processing: Image Communication, vol. 85, p. 115854

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

Denoyelle Q., Duval V., Peyré G., Soubies E. (2019), The Sliding Frank-Wolfe Algorithm and its Application to Super-Resolution Microscopy, Inverse Problems, vol. 36, n°1, p. 014001

Catala P., Duval V., Peyré G. (2019), A Low-Rank Approach to Off-the-Grid Sparse Superresolution, SIAM Journal on Imaging Sciences, vol. 12, n°3, p. 1464-1500

Duval V. (2019), A characterization of the Non-Degenerate Source Condition in super-resolution, Information and Inference, p. 1-31

Duval V., Benamou J-D. (2018), Minimal convex extensions and finite difference discretisation of the quadratic Monge–Kantorovich problem, European Journal of Applied Mathematics, p. 1-38

Catala P., Duval V., Peyré G. (2017), A Low-Rank Approach to Off-The-Grid Sparse Deconvolution, Journal of Physics. Conference Series, vol. 904, n°conférence 1

Duval V., Peyré G. (2017), Sparse Spikes Super-resolution on Thin Grids II: the Continuous Basis Pursuit, Inverse Problems, vol. 33, n°9

Duval V., Peyré G. (2017), Sparse Regularization on Thin Grids I: the LASSO, Inverse Problems, vol. 33, n°5

Dossal C., Duval V., Poon C. (2017), Sampling the Fourier transform along radial lines, SIAM Journal on Numerical Analysis, vol. 55, n°6, p. 2540-2564

Carlier G., Duval V., Peyré G., Schmitzer B. (2017), Convergence of Entropic Schemes for Optimal Transport and Gradient Flows, SIAM Journal on Mathematical Analysis, vol. 49, n°2, p. 1385-1418

Bleyer J., Carlier G., Duval V., Mirebeau J-M., Peyré G. (2016), A Γ-Convergence Result for the Upper Bound Limit Analysis of Plates, ESAIM: Mathematical Modelling and Numerical Analysis, vol. 50, n°1, p. 215-235

Denoyelle Q., Duval V., Peyré G. (2016), Support Recovery for Sparse Super-Resolution of Positive Measures, Journal of Fourier Analysis and Applications, vol. 23, n°5, p. 1153–1194

Chambolle A., Duval V., Peyré G., Poon C. (2016), Geometric properties of solutions to the total variation denoising problem, Inverse Problems, vol. 33, n°1

Duval V., Peyré G. (2015), Exact Support Recovery for Sparse Spikes Deconvolution, Foundations of Computational Mathematics, vol. 15, n°5, p. 1315-1355

Duval V., Peyré G. (2014), Low noise regimes for ℓ regularization : continuous and discrete settings, Proceedings in Applied Mathematics and Mechanics, vol. 14, n°1, p. 943–944

Communications avec actes

De Castro Y., Duval V., Petit R. (2021), Towards Off-the-grid Algorithms for Total Variation Regularized Inverse Problems, in Abderrahim Elmoataz, Jalal Fadili, Yvain Quéau, Julien Rabin, Loïc Simon, Scale Space and Variational Methods in Computer Vision, Proceedings of SSVM 2021, 553-564 p.

Chambolle A., Duval V., Peyré G., Poon C. (2016), Total Variation Denoising and Support Localization of the Gradient, in , Cachan, Journal of Physics. Conference Series

Duval V., Peyré G. (2015), The Non Degenerate Source Condition: Support Robustness for Discrete and Continuous Sparse Deconvolution, in , IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, Dec 2015, Cancun, Mexico, Cancun, IEEE - Institute of Electrical and Electronics Engineers

Denoyelle Q., Duval V., Peyré G. (2015), Asymptotic of Sparse Support Recovery for Positive Measures, in , Journal of physics: Conference series

Prépublications / Cahiers de recherche

Tovey R., Duval V. (2022), Dynamical Programming for off-the-grid dynamic Inverse Problems, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 43 p.

De Castro Y., Duval V., Petit R. (2021), Towards Off-the-grid Algorithms for Total Variation Regularized Inverse Problems, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 25 p.

Duval V., Peyré G. (2015), Sparse Spikes Deconvolution on Thin Grids, Paris, Université Paris-Dauphine, 56 p.

Rapports

Duval V. (2014), A comparative analysis of the TVL1 and the TV-G models, Université Paris-Dauphine, 26 p.

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