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math.FA2023
On extreme points and representer theorems for the Lipschitz unit ball on finite metric spaces
Kristian Bredies, Jonathan Chirinos Rodriguez, Emanuele Naldi
In this note, we provide a characterization for the set of extreme points of the Lipschitz unit ball in a specific vectorial setting. While the analysis of the case of real-valued…
math.OC2023
A sparse optimization approach to infinite infimal convolution regularization
Kristian Bredies, Marcello Carioni, Martin Holler +2
In this paper we introduce the class of infinite infimal convolution functionals and apply these functionals to the regularization of ill-posed inverse problems. The proposed regul…