Work

Machine learning for percolation utilizing auxiliary Ising variables

Year: 2022

Type: article

Abstract: Machine learning for phase transition has received intensive research interest in recent years. However, its application in percolation still remains challenging. We propose an auxiliary Ising mapping method for the machine learning study of the standard percolation as well as a variety of statistical mechanical systems in correlated percolation representation. We demonstrate that unsupervised machine learning is able to accurately locate the percolation threshold, independent of the spatial dimension of system or the type of phase transition, which can be first-order or continuous. Moreover, we show that, by neural network machine learning, auxiliary Ising configurations for different universalities can be classified with a high confidence level. Our results indicate that the auxiliary Ising mapping method, despite its simplicity, can advance the application of machine learning in statistical and condensed-matter physics.

Source: Physical review. E

DOI: 10.1103/physreve.105.024144

Authors: Junyin Zhang, Bo Zhang, Junyi Xu, Wanzhou Zhang, Youjin Deng

Institutions: University of Science and Technology of China, Taiyuan University of Technology, CAS Key Laboratory of Quantum Information, USTC, Minjiang University, Shanghai Research Center for Quantum Sciences

Language: English

Topic: Theoretical and Computational Physics

Subfield: Condensed Matter Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, Chinese Academy of Sciences, National Key Research and Development Program of China

Awards: G5219332875, G7900186149