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Publications

Cette page présente les publications du Centre Borelli déposées sur le serveur HAL.

Affichage des publications 1251 à 1260 sur 1393 au total

Functional Analysis

A characterization of proximity operators

We characterize proximity operators, that is to say functions that map a vector to a solution of a penalized least squares optimization problem. Proximity operators of convex penalties have been widely studied and fully characterized by Moreau. They…

Rémi Gribonval, Mila Nikolova

Journal of Mathematical Imaging and Vision -

Statistics Theory

Efficient stochastic optimisation by unadjusted Langevin Monte Carlo. Application to maximum marginal likelihood and empirical Bayesian estimation

Stochastic approximation methods play a central role in maximum likelihood estimation problems involving intractable likelihood functions, such as marginal likelihoods arising in problems with missing or incomplete data, and in parametric empirical…

Valentin de Bortoli, Alain Durmus, Marcelo Pereyra, Ana Fernandez Vidal

Statistics and Computing -

Analysis of PDEs

Paralinearization of the Muskat Equation and Application to the Cauchy Problem

We paralinearize the Muskat equation to extract an explicit parabolic evolution equation having a compact form. This result is applied to give a simple proof of the local well-posedness of the Cauchy problem for rough initial data, in homogeneous…

Thomas Alazard, Omar Lazar

Archive for Rational Mechanics and Analysis -

Mathematics

Lyapunov Functions, Identities and the Cauchy Problem for the Hele–Shaw Equation

This article is devoted to the study of the Hele-Shaw equation. We introduce an approach inspired by the water-wave theory. Starting from a reduction to the boundary, introducing the Dirichlet to Neumann operator and exploiting various cancellations…

Thomas Alazard, Nicolas Meunier, Didier Smets

Communications in Mathematical Physics -

Santé publique et épidémiologie

SEAIR Framework Accounting for a Personalized Risk Prediction Score: Application to the Covid-19 Epidemic

The aim of the present work is to provide an SEAIR framework which takes a personalized risk prediction score as an additional input. Each individual is categorized depending on his actual status with respect to the disease – moderate or severe…

Oliver Boulant, Mathilde Fekom, Camille Pouchol, Theodoros Evgeniou, Anton Ovchinnikov, Raphaël Porcher, Nicolas Vayatis

Image Processing On Line -