2 papers
cs.LG2025
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…
physics.comp-ph2025
Velocity-Inferred Hamiltonian Neural Networks: Learning Energy-Conserving Dynamics from Position-Only Data
Ruichen Xu, Zongyu Wu, Luoyao Chen +5
Data-driven modeling of physical systems often relies on learning both positions and momenta to accurately capture Hamiltonian dynamics. However, in many practical scenarios, only…