Tikhonov regularization of a perturbed heavy ball system with vanishing damping8 Nov 2021AbstractThis paper deals with aa perturbed heavy ball system with vanishing damping that contains a Tikhonov regularization term, in connection…
Asymptotic analysis of a structure-preserving integrator for damped Hamiltonian systems28 Jun 2021AbstractThe present work deals with the numerical long-time integration of damped Hamiltonian systems. The method that we analyze combines a…
The long time behavior and the rate of convergence of symplectic convex algorithms obtained via splitting discretizations of inertial damping systems30 Jan 2020AbstractIn this paper we propose new numerical algorithms in the setting of unconstrained optimization problems and we give proof for…
An extension of the second order dynamical system that models Nesterov’s convex gradient method19 Aug 2019Abstract In this paper we deal with a general second order continuous dynamical system associated to a convex minimization problem…
New optimization algorithms for neural network training using operator splitting techniques13 Aug 2019AbstractWe present a new type of optimization algorithms, adapted for neural network training. These algorithms are based upon sequential operator…
A gradient-type algorithm with backward inertial steps associated to a nonconvex minimization problem12 Aug 2019AbstractWe investigate an algorithm of gradient type with a backward inertial step in connection with the minimization of a nonconvex…