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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
The Degenerate Variable Metric Proximal Point Algorithm and Adaptive Stepsizes for Primal-Dual Douglas-Rachford
Dirk A. Lorenz, Jannis Marquardt, Emanuele Naldi
In this paper the degenerate preconditioned proximal point algorithm will be combined with the idea of varying preconditioners leading to the degenerate variable metric proximal po…