33 citations · 89 across the 29 of their papers we have counts for
4 papers · 1 filter
Convex Regularization and Representer Theorems
Claire Boyer, Antonin Chambolle, Yohann de Castro +3
We establish a result which states that regularizing an inverse problem with the gauge of a convex set yields solutions which are linear combinations of a few extreme points or…
A scalable estimator of sets of integral operators
Valentin Debarnot, Paul Escande, Pierre Weiss
We propose a scalable method to find a subspace of low-rank tensors that simultaneously approximates a set of integral operators. The method can be seen as…
On Representer Theorems and Convex Regularization
Claire Boyer, Antonin Chambolle, Yohann De Castro +3
We establish a general principle which states that regularizing an inverse problem with a convex function yields solutions which are convex combinations of a small number of atoms.…
Optimal Transport Approximation of 2-Dimensional Measures
Frédéric de Gournay, Jonas Kahn, Léo Lebrat +1
We propose a fast and scalable algorithm to project a given density on a set of structured measures defined over a compact 2D domain. The measures can be discrete or supported on c…