Restricted Boltzmann machines for the long range Ising models-Reference-Cited by-同舟云学术

Restricted Boltzmann machines for the long range Ising models

Published:2016-12-08 Issue:34 Volume:30 Page:1650401
ISSN:0217-9849
Container-title:Modern Physics Letters B
language:en
Short-container-title:Mod. Phys. Lett. B

Author:

Aoki Ken-Ichi¹,Kobayashi Tamao²

Affiliation:

1. Institute for Theoretical Physics, Kanazawa University, Kanazawa 920-1192, Japan

2. National Institute of Technology, Yonago College, Yonago 683-8502, Japan

Abstract

We set up restricted Boltzmann machines (RBM) to reproduce the long range Ising (LRI) models of the Ohmic type in one dimension. The RBM parameters are tuned by using the standard machine learning procedure with an additional method of configuration with probability (CwP). The quality of resultant RBM is evaluated through the susceptibility with respect to the magnetic external field. We compare the results with those by block decimation renormalization group (BDRG) method, and our RBM clear the test with satisfactory precision.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217984916504017

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