Discovering sparse representations of Lie groups with machine learning

Forestano, Roy T.; Matchev, Konstantin T.; Matcheva, Katia; Roman, Alexander; Unlu, Eyup B.; Verner, Sarunas

doi:10.1016/j.physletb.2023.138086

Title: Discovering sparse representations of Lie groups with machine learning

Journal Article · 31 August 2023 · Physics Letters. B

DOI: https://doi.org/10.1016/j.physletb.2023.138086 · OSTI ID:1993086

Forestano, Roy T.; Matchev, Konstantin T.; Matcheva, Katia; Roman, Alexander; Unlu, Eyup B.; Verner, Sarunas

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Research Organization:: University of Florida, Gainesville, FL (United States)

Sponsoring Organization:: USDOE; USDOE Office of Science (SC)

Grant/Contract Number:: SC0022148

OSTI ID:: 1993086

Journal Information:: Physics Letters. B, Journal Name: Physics Letters. B Journal Issue: C Vol. 844; ISSN 0370-2693

Publisher:: ElsevierCopyright Statement

Country of Publication:: Netherlands

Language:: English

References (11)

Machine learning Lie structures & applications to physics Chen, Heng-Yu; He, Yang-Hui; Lal, Shailesh Physics Letters B, Vol. 817 https://doi.org/10.1016/j.physletb.2021.136297	journal	June 2021
The role of symmetry in fundamental physics Gross, D. J. Proceedings of the National Academy of Sciences, Vol. 93, Issue 25 https://doi.org/10.1073/pnas.93.25.14256	journal	December 1996
Machine learning a manifold Craven, Sean; Croon, Djuna; Cutting, Daniel Physical Review D, Vol. 105, Issue 9 https://doi.org/10.1103/PhysRevD.105.096030	journal	May 2022
Symmetry discovery with deep learning Desai, Krish; Nachman, Benjamin; Thaler, Jesse Physical Review D, Vol. 105, Issue 9 https://doi.org/10.1103/PhysRevD.105.096031	journal	May 2022
Discovering Physical Concepts with Neural Networks Iten, Raban; Metger, Tony; Wilming, Henrik Physical Review Letters, Vol. 124, Issue 1 https://doi.org/10.1103/PhysRevLett.124.010508	journal	January 2020
Machine Learning Conservation Laws from Trajectories Liu, Ziming; Tegmark, Max Physical Review Letters, Vol. 126, Issue 18 https://doi.org/10.1103/PhysRevLett.126.180604	journal	May 2021
Machine Learning Hidden Symmetries Liu, Ziming; Tegmark, Max Physical Review Letters, Vol. 128, Issue 18 https://doi.org/10.1103/PhysRevLett.128.180201	journal	May 2022
Discovering symmetry invariants and conserved quantities by interpreting siamese neural networks Wetzel, Sebastian J.; Melko, Roger G.; Scott, Joseph Physical Review Research, Vol. 2, Issue 3 https://doi.org/10.1103/PhysRevResearch.2.033499	journal	September 2020
Symmetry meets AI Barenboim, Gabriela; Hirn, Johannes; Sanz, Veronica SciPost Physics, Vol. 11, Issue 1 https://doi.org/10.21468/SciPostPhys.11.1.014	journal	January 2021
Symmetries, safety, and self-supervision Dillon, Barry; Kasieczka, Gregor; Olischlager, Hans SciPost Physics, Vol. 12, Issue 6 https://doi.org/10.21468/SciPostPhys.12.6.188	journal	June 2022
Oracle-Preserving Latent Flows Roman, Alexander; Forestano, Roy T.; Matchev, Konstantin T. Symmetry, Vol. 15, Issue 7 https://doi.org/10.3390/sym15071352	journal	July 2023

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