no code implementations • 3 Aug 2021 • Evangelos Galaris, Gianluca Fabiani, Francesco Calabrò, Daniela di Serafino, Constantinos Siettos
We propose a numerical method based on physics-informed Random Projection Neural Networks for the solution of Initial Value Problems (IVPs) of Ordinary Differential Equations (ODEs) with a focus on stiff problems.
no code implementations • 26 Feb 2021 • Valentina De Simone, Daniela di Serafino, Jacek Gondzio, Spyridon Pougkakiotis, Marco Viola
Large-scale optimization problems that seek sparse solutions have become ubiquitous.
Portfolio Optimization Optimization and Control Numerical Analysis Numerical Analysis 65K05, 90C51, 90C25, 65F10, 65F08, 90C90
1 code implementation • 2 Apr 2020 • Daniela di Serafino, Gerardo Toraldo, Marco Viola
The renewed interest in Steepest Descent (SD) methods following the work of Barzilai and Borwein [IMA Journal of Numerical Analysis, 8 (1988)] has driven us to consider a globalization strategy based on SD, which is applicable to any line-search method.
Optimization and Control Numerical Analysis Numerical Analysis 65K05, 90C30, 49M15 G.1.6
1 code implementation • 14 Dec 2019 • Valentina De Simone, Daniela di Serafino, Marco Viola
We propose a subspace-accelerated Bregman method for the linearly constrained minimization of functions of the form $f(\mathbf{u})+\tau_1 \|\mathbf{u}\|_1 + \tau_2 \|D\,\mathbf{u}\|_1$, where $f$ is a smooth convex function and $D$ represents a linear operator, e. g. a finite difference operator, as in anisotropic Total Variation and fused-lasso regularizations.
Optimization and Control Numerical Analysis Numerical Analysis 65K05, 90C25 G.1.6
1 code implementation • 7 Oct 2019 • Daniela di Serafino, Dominique Orban
We consider the iterative solution of regularized saddle-point systems.
Numerical Analysis Numerical Analysis 65F08, 65F10, 65F50, 90C20
1 code implementation • 27 Jul 2018 • Daniela di Serafino, Germana Landi, Marco Viola
We propose a method, called ACQUIRE, for the solution of constrained optimization problems modeling the restoration of images corrupted by Poisson noise.
Optimization and Control 90C25, 65K05, 94A08