## Identifying Physical Law of Hamiltonian Systems via Meta-Learning

Sep 28, 2020 (edited Jun 15, 2021)ICLR 2021 PosterReaders: Everyone
• Keywords: Learning physical laws, meta-learning, Hamiltonian systems
• 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.
• One-sentence Summary: We introduce meta-learning algorithms to identify the shared representation of Hamiltonian systems.
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