English

Machine Learning the Square-Lattice Ising Model

Disordered Systems and Neural Networks 2022-04-01 v2

Abstract

Recently, machine-learning methods have been shown to be successful in identifying and classifying different phases of the square-lattice Ising model. We study the performance and limits of classification and regression models. In particular, we investigate how accurately the correlation length, energy and magnetisation can be recovered from a given configuration. We find that a supervised learning study of a regression model yields good predictions for magnetisation and energy, and acceptable predictions for the correlation length.

Keywords

Cite

@article{arxiv.2111.13413,
  title  = {Machine Learning the Square-Lattice Ising Model},
  author = {Burak Çivitcioğlu and Rudolf A. Römer and Andreas Honecker},
  journal= {arXiv preprint arXiv:2111.13413},
  year   = {2022}
}

Comments

6 pages, 5 figures, submitted to the Proceedings for XXXII IUPAP Conference on Computational Physics (2021)

R2 v1 2026-06-24T07:52:52.550Z