Romain Petit

I am a postdoctoral researcher at MaLGa, in the mathematics department of the University of Genoa, working with Giovanni S. Alberti and Matteo Santacesaria on inverse problems for PDEs. I am funded by the ERC starting grant SAMPDE. I obtained my PhD in mathematics from Université Paris Dauphine and INRIA Paris (MOKAPLAN team), under the supervision of Vincent Duval and Yohann De Castro.
16 November 2023 Paris-Saclay Signal Seminar, CentraleSupélec
21-22 November 2023 Off-the-grid Methods for Inverse Problems in Imaging, Institut Henri Poincaré
Inverse problems in imaging
Grid-free / off-the-grid sparse estimation
Calculus of variations
Shape optimization
[3] Localization of point scatterers via sparse optimization on measures, with G. S. Alberti and M. Santacesaria, in preparation.
[2] Exact recovery of the support of piecewise constant images via total variation regularization, with Y. De Castro and V. Duval.
  • Long version, submitted, 2023.
  • Short version (in French), XXIXème Colloque Francophone de Traitement du Signal et des Images (GRETSI), 2023.
[1] Towards off-the-grid algorithms for total variation regularized inverse problems, with Y. De Castro and V. Duval.
  • Long version, Journal of Mathematical Imaging and Vision, 2023.
  • Short version, proceedings of the 8th International Conference on Scale Space and Variational Methods in Computer Vision (SSVM), 2021.
Reconstruction of piecewise constant images via total variation regularization: exact support recovery and grid-free numerical methods, defended on December 2022.