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