4 papers
On bayesian estimation and proximity operators
Rémi Gribonval, Mila Nikolova
There are two major routes to address the ubiquitous family of inverse problems appearing in signal and image processing, such as denoising or deblurring. A first route relies on B…
On the Statistical Complexity of Estimation and Testing under Privacy Constraints
Clément Lalanne, Aurélien Garivier, Rémi Gribonval
The challenge of producing accurate statistics while respecting the privacy of the individuals in a sample is an important area of research. We study minimax lower bounds for class…
Abide by the Law and Follow the Flow: Conservation Laws for Gradient Flows
Sibylle Marcotte, Rémi Gribonval, Gabriel Peyré
Understanding the geometric properties of gradient descent dynamics is a key ingredient in deciphering the recent success of very large machine learning models. A striking observat…
A theory of optimal convex regularization for low-dimensional recovery
Yann Traonmilin, Rémi Gribonval, Samuel Vaiter
We consider the problem of recovering elements of a low-dimensional model from under-determined linear measurements. To perform recovery, we consider the minimization of a convex r…