1 citations · 1 across the 3 of their papers we have counts for
4 papers
On the global convergence of gradient flow for wide shallow models beyond homogeneous nonlinearities
Romain Petit, Clarice Poon, Gabriel Peyré
A surprising phenomenon in the training of neural networks is the ability of gradient descent to find global minimizers of the training loss despite its non-convexity. Following ea…
On the non-convexity issue in the radial Calderón problem
Giovanni S. Alberti, Romain Petit, Clarice Poon +1
A classical approach to the Calderón problem is to estimate the unknown conductivity by solving a nonlinear least-squares problem. It leads to a nonconvex optimization problem whic…
A convex lifting approach for the Calderón problem
Giovanni S. Alberti, Romain Petit, Simone Sanna
The Calderón problem consists in recovering an unknown coefficient of a partial differential equation from boundary measurements of its solution. These measurements give rise to a…
Localization of point scatterers via sparse optimization on measures
Giovanni S. Alberti, Romain Petit, Matteo Santacesaria
We consider the inverse scattering problem for time-harmonic acoustic waves in a medium with pointwise inhomogeneities. In the Foldy-Lax model, the estimation of the scatterers' lo…