no code implementations • 2 Nov 2023 • Samuel Hurault, Antonin Chambolle, Arthur Leclaire, Nicolas Papadakis
The stepsize condition for nonconvex convergence of the proximal algorithm in use then translates to restrictive conditions on the regularization parameter of the inverse problem.
1 code implementation • 19 Oct 2023 • Martin Zach, Erich Kobler, Antonin Chambolle, Thomas Pock
In this work we tackle the problem of estimating the density $ f_X $ of a random variable $ X $ by successive smoothing, such that the smoothed random variable $ Y $ fulfills the diffusion partial differential equation $ (\partial_t - \Delta_1)f_Y(\,\cdot\,, t) = 0 $ with initial condition $ f_Y(\,\cdot\,, 0) = f_X $.
no code implementations • 16 Feb 2023 • Martin Zach, Thomas Pock, Erich Kobler, Antonin Chambolle
In this work we tackle the problem of estimating the density $f_X$ of a random variable $X$ by successive smoothing, such that the smoothed random variable $Y$ fulfills $(\partial_t - \Delta_1)f_Y(\,\cdot\,, t) = 0$, $f_Y(\,\cdot\,, 0) = f_X$.
1 code implementation • 31 Jan 2023 • Samuel Hurault, Antonin Chambolle, Arthur Leclaire, Nicolas Papadakis
This paper presents a new convergent Plug-and-Play (PnP) algorithm.
1 code implementation • 22 Jan 2021 • Antonin Chambolle, Robert Tovey
FISTA is a popular convex optimisation algorithm which is known to converge at an optimal rate whenever a minimiser is contained in a suitable Hilbert space.
Optimization and Control
no code implementations • 22 Jun 2019 • Marco Caroccia, Antonin Chambolle, Dejan Slepčev
We consider adaptations of the Mumford-Shah functional to graphs.
no code implementations • 5 Feb 2019 • Michel Barlaud, Antonin Chambolle, Jean-Baptiste Caillau
This paper deals with supervised classification and feature selection in high dimensional space.
2 code implementations • 15 Jun 2017 • Antonin Chambolle, Matthias J. Ehrhardt, Peter Richtárik, Carola-Bibiane Schönlieb
We propose a stochastic extension of the primal-dual hybrid gradient algorithm studied by Chambolle and Pock in 2011 to solve saddle point problems that are separable in the dual variable.