1 code implementation • 1 Feb 2024 • Marien Renaud, Jean Prost, Arthur Leclaire, Nicolas Papadakis
Even if they produce impressive image restoration results, these algorithms rely on a non-standard use of a denoiser on images that are less and less noisy along the iterations, which contrasts with recent algorithms based on Diffusion Models (DM), where the denoiser is applied only on re-noised images.
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 • 31 Jan 2023 • Samuel Hurault, Antonin Chambolle, Arthur Leclaire, Nicolas Papadakis
This paper presents a new convergent Plug-and-Play (PnP) algorithm.
no code implementations • 13 Oct 2022 • Jérémie Bigot, Paul Freulon, Boris P. Hejblum, Arthur Leclaire
This paper is focused on the study of entropic regularization in optimal transport as a smoothing method for Wasserstein estimators, through the prism of the classical tradeoff between approximation and estimation errors in statistics.
1 code implementation • 31 Jan 2022 • Samuel Hurault, Arthur Leclaire, Nicolas Papadakis
Given this new result, we exploit the convergence theory of proximal algorithms in the nonconvex setting to obtain convergence results for PnP-PGD (Proximal Gradient Descent) and PnP-ADMM (Alternating Direction Method of Multipliers).
1 code implementation • ICLR 2022 • Samuel Hurault, Arthur Leclaire, Nicolas Papadakis
Exploiting convergence results for proximal gradient descent algorithms in the non-convex setting, we show that the proposed Plug-and-Play algorithm is a convergent iterative scheme that targets stationary points of an explicit global functional.
no code implementations • 10 Feb 2021 • Antoine Houdard, Arthur Leclaire, Nicolas Papadakis, Julien Rabin
Training of WGAN relies on a theoretical background: the calculation of the gradient of the optimal transport cost with respect to the generative model parameters.
1 code implementation • 19 Jun 2020 • Antoine Houdard, Arthur Leclaire, Nicolas Papadakis, Julien Rabin
The GOTEX model based on patch features is also adapted to texture inpainting and texture interpolation.
no code implementations • 12 May 2020 • Yann Traonmilin, Jean-François Aujol, Arthur Leclaire
We propose a new algorithm for sparse spike estimation from Fourier measurements.
no code implementations • 3 Dec 2019 • Valentin De Bortoli, Agnes Desolneux, Alain Durmus, Bruno Galerne, Arthur Leclaire
Recent years have seen the rise of convolutional neural network techniques in exemplar-based image synthesis.