2 papers
math.NA2025
A theoretical analysis on the resolution of parametric PDEs via Neural Networks designed with Strassen algorithm
Gonzalo Romera, Jon Asier Bárcena-Petisco
We construct a family of Neural Networks that approximate matrix multiplication operator for any activation function such that there exists a Neural Network which can approximate t…
math.NA2024
Neural Networks in Numerical Analysis and Approximation Theory
Gonzalo Romera
In this Master Thesis, we study the approximation capabilities of Neural Networks in the context of numerical resolution of elliptic PDEs and Approximation Theory. First of all, in…