1 code implementation • 15 May 2023 • Giovanni Seraghiti, Atharva Awari, Arnaud Vandaele, Margherita Porcelli, Nicolas Gillis
In this paper, we study the following nonlinear matrix decomposition (NMD) problem: given a sparse nonnegative matrix $X$, find a low-rank matrix $\Theta$ such that $X \approx f(\Theta)$, where $f$ is an element-wise nonlinear function.
1 code implementation • 14 Jan 2020 • Margherita Porcelli, Philippe L. Toint
A structured version of derivative-free random pattern search optimization algorithms is introduced which is able to exploit coordinate partially separable structure (typically associated with sparsity) often present in unconstrained and bound-constrained optimization problems.
Optimization and Control 65K05, 90C56, 90C90
no code implementations • 15 Jul 2019 • Dominik Garmatter, Margherita Porcelli, Francesco Rinaldi, Martin Stoll
Optimal control problems including partial differential equation (PDE) as well as integer constraints merge the combinatorial difficulties of integer programming and the challenges related to large-scale systems resulting from discretized PDEs.
Numerical Analysis Numerical Analysis Optimization and Control 65K05, 90C06, 90C11, 93C20, 90C51
