5 papers
Preconditioned primal-dual algorithms for saddle point problems: non-ergodic convergence rates
Huiyuan Guo, Juan José Maulén, Juan Peypouquet
We study a family of preconditioned primal dual algorithms for convex-concave saddle point problems by the dynamics introduced in \cite{apidopoulos2026preconditioned}. The proposed…
Towards faster first order methods: A continuous-time model to interpolate between speed and function value restart
Juan José Maulén, Huiyuan Guo, Juan Peypouquet
We introduce a new restarting scheme for a continuous inertial dynamics with Hessian driven-damping, and establish a linear convergence rate for the function values along the resta…
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…
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…
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…