Kolmogorov-Arnold Representation for Symplectic Learning: Advancing Hamiltonian Neural Networks

Zongyu Wu, Ruichen Xu, Luoyao Chen +3

We propose a Kolmogorov-Arnold Representation-based Hamiltonian Neural Network (KAR-HNN) that replaces the Multilayer Perceptrons (MLPs) with univariate transformations. While Hami…