Transfer Machine Learning of an Anisotropic Model

We investigate the possibility of extracting features of second-order phase transitions using transfer machine learning. We have performed supervised machine learning for binary classification of snapshots of the spin distribution of the isotropic Ising model. The binary classification is performed in ferromagnetic and paramagnetic phases using a known critical temperature. The trained network is used to predict whether a snapshot obtained from model simulations with orthogonal anisotropy belongs to the paramagnetic phase. Using finite-dimensional prediction analysis, we estimate the critical temperature and the exponent of the correlation length. This gives us an estimate of the interval of the anisotropy parameter in which the neural network can make correct estimates.

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Publication Details

Journal
Lobachevskii Journal of Mathematics
Published
2025-01-01
DOI
https://doi.org/10.1134/s1995080224607835
Citations
1
Primary Topic
Neural Networks and Applications
Type
article
Field-Weighted Citation Impact
2.48
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article

Transfer Machine Learning of an Anisotropic Model

Lev Shchur, Diana Sukhoverkhova
1 citations
Lobachevskii Journal of Mathematics
Neural Networks and Applications
2.48
article

Transfer Machine Learning of an Anisotropic Model

Lev Shchur, Diana Sukhoverkhova
article en
1 citations

Abstract

We investigate the possibility of extracting features of second-order phase transitions using transfer machine learning. We have performed supervised machine learning for binary classification of snapshots of the spin distribution of the isotropic Ising model. The binary classification is performed in ferromagnetic and paramagnetic phases using a known critical temperature. The trained network is used to predict whether a snapshot obtained from model simulations with orthogonal anisotropy belongs to the paramagnetic phase. Using finite-dimensional prediction analysis, we estimate the critical temperature and the exponent of the correlation length. This gives us an estimate of the interval of the anisotropy parameter in which the neural network can make correct estimates.

Lobachevskii Journal of MathematicsVol. 46(1)
National Research University Higher School of Economics (RU), Landau Institute for Theoretical Physics (RU)
Openalex Percentile: Top 10%
Neural Networks and Applications
2.48
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Transfer Machine Learning of an Anisotropic Model — Lev Shchur, Diana Sukhoverkhova · Lobachevskii Journal of Mathematics (2025) | TGRS Research Map | TGRS