no code implementations • 30 Mar 2024 • Younes Belkouchi, Jean-Christophe Pesquet, Audrey Repetti, Hugues Talbot
This article introduces a novel approach to learning monotone neural networks through a newly defined penalization loss.
no code implementations • 6 Aug 2023 • Hoang Trieu Vy Le, Audrey Repetti, Nelly Pustelnik
In particular, proximal neural networks (PNNs) have been introduced, obtained by unrolling a proximal algorithm as for finding a MAP estimate, but over a fixed number of iterations, with learned linear operators and parameters.
1 code implementation • 20 Jun 2023 • Carlos Santos Garcia, Mathilde Larchevêque, Solal O'Sullivan, Martin Van Waerebeke, Robert R. Thomson, Audrey Repetti, Jean-Christophe Pesquet
A proximal algorithm based on a sparsity prior, dubbed SARA-COIL, has been further proposed to solve the associated inverse problem, to enable image reconstructions for high resolution COIL microendoscopy.
1 code implementation • 20 Jan 2021 • Hertzog L. Bester, Audrey Repetti, Simon Perkins, Oleg M. Smirnov, Jonathan S. Kenyon
The celebrated CLEAN algorithm has been the cornerstone of deconvolution algorithms in radio interferometry almost since its conception in the 1970s.
Radio Interferometry Instrumentation and Methods for Astrophysics
2 code implementations • 24 Dec 2020 • Jean-Christophe Pesquet, Audrey Repetti, Matthieu Terris, Yves Wiaux
Recently, several works have proposed to replace the operator related to the regularization by a more sophisticated denoiser.
Automated Theorem Proving Image Restoration Optimization and Control Image and Video Processing 47H05, 90C25, 90C59, 65K10, 49M27, 68T07, 68U10, 94A08
no code implementations • 8 Feb 2018 • Marica Pesce, Audrey Repetti, Anna Auría, Alessandro Daducci, Jean-Philippe Thiran, Yves Wiaux
High spatio-angular resolution diffusion MRI (dMRI) has been shown to provide accurate identification of complex neuronal fiber configurations, albeit, at the cost of long acquisition times.
1 code implementation • 24 Jun 2014 • Jean-Christophe Pesquet, Audrey Repetti
Based on a preconditioned version of the randomized block-coordinate forward-backward algorithm recently proposed in [Combettes, Pesquet, 2014], several variants of block-coordinate primal-dual algorithms are designed in order to solve a wide array of monotone inclusion problems.
Optimization and Control 47H05, 49M29, 49M27, 65K10, 90C25