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Paper · arXiv

Frequency-Separable Hamiltonian Neural Network for Multi-Timescale Dynamics

While Hamiltonian mechanics provides a powerful inductive bias for neural networks modeling dynamical systems, Hamiltonian Neural Networks and their variants often fail to capture complex temporal dynamics spanning multiple timescales. This limitation is commonly linked to the spectral bias of deep neural networks, which favors learning low-frequency, slow-varying dynamics. Prior approaches have sought to address this issue through symplectic integration schemes that enforce energy conservation or by incorporating geometric constraints to impose structure on the configuration-space. However, such methods either remain limited in their ability to fully capture multiscale dynamics or requir...

AuthorsYaojun Li, Yulong Yang, Christine Allen-Blanchette
Primary categorycs.LG
Published6 March 2026
Last updated at source15 March 2026
cs.LGeess.SY
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