3 papers
math.OC2026
Penalty-Based Smoothing of Convex Nonsmooth Supremum Functions with Accelerated Inertial Dynamics
Samir Adly, Juan José Maulén, Emilio Vilches
We propose a penalty-based smoothing framework for convex nonsmooth functions with a supremum structure. The regularization yields a differentiable surrogate with controlled approx…
math.OC2025
Relaxed and inertial nonlinear Forward-Backward algorithm
Juan José Maulén, Fernando Roldán, Cristian Vega
The Nonlinear Forward-Backward (NFB) algorithm, also known as warped resolvent iterations, is a splitting method for finding zeros of sums of monotone operators. In particular case…
math.OC2024
A Speed Restart Scheme for a Dynamical System with Hessian-Driven Damping and Three Constant Coefficients
Huiyuan Guo, Juan José Maulén, Juan Peypouquet
In this paper, we study a speed restart scheme for an inertial system with Hessian-driven damping. We establish a linear convergence rate for the function values along the restarte…