Romain Petit
About
I am a postdoctoral researcher at ENS Paris, working with Gabriel Peyré and Clarice Poon. From January 2023 to September 2024, I was 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.
Research interests
Inverse problems sparse estimation, super-resolution,
nonlinear problems associated to PDEs, applications
to imaging
Optimization calculus of variations,
geometric variational problems, numerical resolution of infinite-dimensional problems
Publications
[3] Localization of point scatterers via sparse optimization on measures
Giovanni S. Alberti, Romain Petit, Matteo Santacesaria, SIAM Journal on Imaging Sciences, 2024
[2] Exact recovery of the support of piecewise constant images via total variation regularization
Yohann De Castro, Vincent Duval, Romain Petit, Inverse Problems, 2024
Short version (in French): GRETSI 2023
[1] 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
Giovanni S. Alberti, Romain Petit, Matteo Santacesaria, SIAM Journal on Imaging Sciences, 2024
[2] Exact recovery of the support of piecewise constant images via total variation regularization
Yohann De Castro, Vincent Duval, Romain Petit, Inverse Problems, 2024
Short version (in French): GRETSI 2023
Yohann De Castro, Vincent Duval, Romain Petit, Journal of Mathematical Imaging and Vision, 2023.
Short version: SSVM 2021
PhD thesis
Reconstruction of piecewise constant images via total variation regularization: exact support recovery and grid-free numerical methods.