Lie-Poisson neural networks (LPNets): data-based computing of Hamiltonian systems with symmetries

An accurate data-based prediction of the long-term evolution of Hamiltonian systems requires a network that preserves the appropriate structure under each time step. Every Hamiltonian system contains two essential ingredients: the Poisson bracket and the Hamiltonian. Hamiltonian systems with symmetr...

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Bibliographic Details
Main Authors: Eldred, Christopher, Gay-Balmaz, François, Huraka, Sofiia, Putkaradze, Vakhtang
Other Authors: School of Physical and Mathematical Sciences
Format: Journal Article
Language:English
Published: 2024
Subjects:
Online Access:https://hdl.handle.net/10356/180076