## A stabilized finite element method for inverse problems subject to the convection-diffusion equation. I: diffusion-dominated regime

AbstractThe numerical approximation of an inverse problem subject to the convection–diffusion equation when diffusion dominates is studied. We derive Carleman…

## An extension of the second order dynamical system that models Nesterov’s convex gradient method

Abstract 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 techniques

AbstractWe 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 problem

AbstractWe investigate an algorithm of gradient type with a backward inertial step in connection with the minimization of a nonconvex…