Romain Petit
About
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.
Upcoming events
24 October 2023 Machine Learning and Signal Processing Seminar, ENS Lyon
16 November 2023 Paris-Saclay Signal Seminar, CentraleSupélec
21-22 November 2023 Off-the-grid Methods for Inverse Problems in Imaging, Institut Henri Poincaré
Research interests
Inverse problems in imaging
Grid-free / off-the-grid sparse estimation
Calculus of variations
Shape optimization
Publications
[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.
[1] Towards off-the-grid algorithms for total variation regularized inverse problems, with Y. De Castro and V. Duval.
[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.
- 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.
PhD thesis
Reconstruction of piecewise constant images via total variation regularization: exact support recovery and grid-free numerical methods, defended on December 2022.