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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2022, Volume 115, Issue 8, Pages 500–504
DOI: https://doi.org/10.31857/S1234567822080079 (Mi jetpl6653) 		 
This article is cited in 2 scientific papers (total in 2 papers)

CONDENSED MATTER

Calculation of the ground states of spin glasses using a restricted Boltzmann machine

A. O. Korol'ab, V. Yu. Kapitanab, A. V. Perzhua, M. A. Padalkoba, D. Yu. Kapitanba, R. A. Volotovskiiab, E. V. Vasil'evab, A. E. Rybinba, P. A. Ovchinnikova, P. D. Andriushchenkoc, A. G. Makarovba, Yu. A. Shevchenkoba, I. G. Il'yushina, K. S. Soldatovba

a Far Eastern Federal University, Vladivostok, 690922 Russia
b Institute of Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok, 690041 Russia
c ITMO University, St. Petersburg, 197101 Russia
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DOI: https://doi.org/10.31857/S1234567822080079
Abstract: A neural network method has been proposed to calculate the configurations and energies of the ground states of the Edwards–Anderson spin glass model with periodic boundary conditions. The macroscopic degeneracy of the ground states and violation of translational symmetry have been observed. Comparison with the results obtained by the exact and approximate computational methods confirms the reliability of the results.
Funding agency Grant number
Russian Science Foundation 21-72-00058
Ministry of Science and Higher Education of the Russian Federation 0657-2020-0005
НШ-2559.2022.1.2
This work was supported by the Russian Science Foundation (project no. 21-72-00058, study of frustrated magnetic systems using the restricted Boltzmann machine), by the Ministry of Science and Higher Education (state assignment no. 0657-2020-0005, development of the hybrid multispin method), and by the Council of the President of the Russian Federation for State Support of Young Scientists and Leading Scientific Schools (project no. NSh-2559.2022.1.2, transfer-matrix studies).
Received: 21.02.2022
Revised: 17.03.2022
Accepted: 17.03.2022
English version:
Journal of Experimental and Theoretical Physics Letters, 2022, Volume 115, Issue 8, Pages 466–470
DOI: https://doi.org/10.1134/S0021364022100381
Document Type: Article
Language: Russian
Citation: A. O. Korol', V. Yu. Kapitan, A. V. Perzhu, M. A. Padalko, D. Yu. Kapitan, R. A. Volotovskii, E. V. Vasil'ev, A. E. Rybin, P. A. Ovchinnikov, P. D. Andriushchenko, A. G. Makarov, Yu. A. Shevchenko, I. G. Il'yushin, K. S. Soldatov, “Calculation of the ground states of spin glasses using a restricted Boltzmann machine”, Pis'ma v Zh. Èksper. Teoret. Fiz., 115:8 (2022), 500–504; JETP Letters, 115:8 (2022), 466–470
Citation in format AMSBIB
\Bibitem{KorKapPer22}
\by A.~O.~Korol', V.~Yu.~Kapitan, A.~V.~Perzhu, M.~A.~Padalko, D.~Yu.~Kapitan, R.~A.~Volotovskii, E.~V.~Vasil'ev, A.~E.~Rybin, P.~A.~Ovchinnikov, P.~D.~Andriushchenko, A.~G.~Makarov, Yu.~A.~Shevchenko, I.~G.~Il'yushin, K.~S.~Soldatov
\paper Calculation of the ground states of spin glasses using a restricted Boltzmann machine
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
\yr 2022
\vol 115
\issue 8
\pages 500--504
\mathnet{http://mi.mathnet.ru/jetpl6653}
\crossref{https://doi.org/10.31857/S1234567822080079}
\transl
\jour JETP Letters
\yr 2022
\vol 115
\issue 8
\pages 466--470
\crossref{https://doi.org/10.1134/S0021364022100381}
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