What's Next? Predicting Hamiltonian Dynamics from Discrete Observations of a Vector Field

December 14, 2023 ยท Declared Dead ยท ๐Ÿ› International Conference on Database and Expert Systems Applications

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Authors Zi-Yu Khoo, Delong Zhang, Stรฉphane Bressan arXiv ID 2312.08944 Category cs.LG: Machine Learning Cross-listed nlin.CD Citations 4 Venue International Conference on Database and Expert Systems Applications Last Checked 4 months ago
Abstract
We present several methods for predicting the dynamics of Hamiltonian systems from discrete observations of their vector field. Each method is either informed or uninformed of the Hamiltonian property. We empirically and comparatively evaluate the methods and observe that information that the system is Hamiltonian can be effectively informed, and that different methods strike different trade-offs between efficiency and effectiveness for different dynamical systems.
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