Finding discrete symmetry groups via Machine Learning

• URL: http://arxiv.org/abs/2307.13457v1
• Date: Tue, 25 Jul 2023 12:37:46 GMT
• Title: Finding discrete symmetry groups via Machine Learning
• Authors: Pablo Calvo-Barl\'es, Sergio G. Rodrigo, Eduardo S\'anchez-Burillo, and Luis Mart\'in-Moreno
• Abstract summary: We introduce a machine-learning approach capable of automatically discovering discrete symmetry groups in physical systems. This method identifies the finite set of parameter transformations that preserve the system's physical properties.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: We introduce a machine-learning approach (denoted Symmetry Seeker Neural Network) capable of automatically discovering discrete symmetry groups in physical systems. This method identifies the finite set of parameter transformations that preserve the system's physical properties. Remarkably, the method accomplishes this without prior knowledge of the system's symmetry or the mathematical relationships between parameters and properties. Demonstrating its versatility, we showcase examples from mathematics, nanophotonics, and quantum chemistry.

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