Lie–Poisson Neural Networks (LPNets): Data-based computing of Hamiltonian systems with symmetries

Author:

Eldred Christopher,Gay-Balmaz François,Huraka Sofiia,Putkaradze Vakhtang

Funder

NSERC

Publisher

Elsevier BV

Reference63 articles.

1. Mathematical methods of classical mechanics;Arnol’d,2013

2. Locally-symplectic neural networks for learning volume-preserving dynamics;Bajārs;Journal of Computational Physics,2023

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4. Accurate medium-range global weather forecasting with 3D neural networks;Bi;Nature,2023

5. Nonholonomic mechanics and control;Bloch,2003

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1. Decoding intelligence via symmetry and asymmetry;Scientific Reports;2024-05-31

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