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math.OC2019
An Epigraphical Approach to the Representer Theorem
Vincent Duval
Describing the solutions of inverse problems arising in signal or image processing is an important issue both for theoretical and numerical purposes. We propose a principle which d…
math.OC2018
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…
math.OC2018
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.…