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math.OC2025
A Projected Variable Smoothing for Weakly Convex Optimization and Supremum Functions
Sergio López-Rivera, Pedro Pérez-Aros, Emilio Vilches
In this paper, we address two main topics. First, we study the problem of minimizing the sum of a smooth function and the composition of a weakly convex function with a linear oper…
math.OC2025
Inexact Catching-Up Algorithm for Moreau's Sweeping Processes
Juan Guillermo Garrido, Maximiliano Lioi, Emilio Vilches
In this paper, we develop an inexact version of the catching-up algorithm for sweeping processes. We define a new notion of approximate projection, which is compatible with any num…