366 citations · 1.8k across the 46 of their papers we have counts for
5 papers · 1 filter
Piecewise rigid curve deformation via a Finsler steepest descent
Guillaume Charpiat, Giacomo Nardi, Gabriel Peyré +1
This paper introduces a novel steepest descent flow in Banach spaces. This extends previous works on generalized gradient descent, notably the work of Charpiat et al., to the setti…
Exact Support Recovery for Sparse Spikes Deconvolution
Vincent Duval, Gabriel Peyré
This paper studies sparse spikes deconvolution over the space of measures. We focus our attention to the recovery properties of the support of the measure, i.e. the location of the…
Stable Recovery with Analysis Decomposable Priors
M. J. Fadili, G. Peyré, S. Vaiter +2
In this paper, we investigate in a unified way the structural properties of solutions to inverse problems. These solutions are regularized by the generic class of semi-norms define…
Robust Polyhedral Regularization
Samuel Vaiter, Gabriel Peyré, Jalal Fadili
In this paper, we establish robustness to noise perturbations of polyhedral regularization of linear inverse problems. We provide a sufficient condition that ensures that the polyh…
Optimal Transport with Proximal Splitting
Nicolas Papadakis, Gabriel Peyré, Edouard Oudet
This article reviews the use of first order convex optimization schemes to solve the discretized dynamic optimal transport problem, initially proposed by Benamou and Brenier. We de…