Romain Petit

I am a postdoctoral researcher at MaLGa (University of Genoa, Italy), working with Giovanni S. Alberti on non-linear inverse problems. I obtained my PhD in applied mathematics from Université Paris Dauphine and INRIA Paris (MOKAPLAN team) in December 2022, under the supervision of Vincent Duval and Yohann De Castro.

Inverse problems in imaging
Grid-free / off-the-grid sparse estimation
Calculus of variations
Shape optimization
Localization of point scatterers via sparse optimization on measures
Giovanni S. Alberti, Romain Petit, Matteo Santacesaria, SIAM Journal on Imaging Sciences (to appear), 2024

Exact recovery of the support of piecewise constant images via total variation regularization
Yohann De Castro, Vincent Duval, Romain Petit, submitted, 2023
Short version (in French): GRETSI 2023

Towards off-the-grid algorithms for total variation regularized inverse problems
Yohann De Castro, Vincent Duval, Romain Petit, Journal of Mathematical Imaging and Vision, 2023.
Short version: SSVM 2021
Reconstruction of piecewise constant images via total variation regularization: exact support recovery and grid-free numerical methods.