2 papers
math.DS2025
Learning Stochastic Hamiltonian Systems via Stochastic Generating Function Neural Network
Chen Chen, Lijin Wang, Yanzhao Cao +1
In this paper we propose a novel neural network model for learning stochastic Hamiltonian systems (SHSs) from observational data, termed the stochastic generating function neural n…
math.NA2025
Learning Hamiltonian Systems with Pseudo-symplectic Neural Network
Xupeng Cheng, Lijin Wang, Yanzhao Cao +1
In this paper, we introduces a Pseudo-Symplectic Neural Network (PSNN) for learning general Hamiltonian systems (both separable and non-separable) from data. To address the limitat…