1. Identifying Physical Law of Hamiltonian Systems via Meta-Learning
- Author
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Lee, Seungjun, Yang, Haesang, and Seong, Woojae
- Subjects
Computer Science - Machine Learning ,Physics - Computational Physics - Abstract
Hamiltonian mechanics is an effective tool to represent many physical processes with concise yet well-generalized mathematical expressions. A well-modeled Hamiltonian makes it easy for researchers to analyze and forecast many related phenomena that are governed by the same physical law. However, in general, identifying a functional or shared expression of the Hamiltonian is very difficult. It requires carefully designed experiments and the researcher's insight that comes from years of experience. We propose that meta-learning algorithms can be potentially powerful data-driven tools for identifying the physical law governing Hamiltonian systems without any mathematical assumptions on the representation, but with observations from a set of systems governed by the same physical law. We show that a well meta-trained learner can identify the shared representation of the Hamiltonian by evaluating our method on several types of physical systems with various experimental settings., Comment: ICLR 2021
- Published
- 2021