Speaker
Alessandro Bombini
(Istituto Nazionale di Fisica Nucleare)
Description
In this contribution we discuss the novel neural network architecture, based on the Kolmogorov-Arnold Representation Theorem, dubbed "Kolmogorov-Arnold Network" (KAN), its variants (like the Chebyshev-KAN, the Jacobi-KAN, the FastKAN), and its applications to numerical resolution of PDEs via the Physics-Informed Neural Network (PINN) framework.
We discuss our implementation of the API for using seamlessly these network architectures within a widely adopted open source package for PINN, Nvidia Modulus SYM.
Primary author
Alessandro Bombini
(Istituto Nazionale di Fisica Nucleare)