4.5 Article

Restricted Boltzmann machines for the long range Ising models

Journal

MODERN PHYSICS LETTERS B
Volume 30, Issue 34, Pages -

Publisher

WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0217984916504017

Keywords

Renormalization group; long range Ising model; restricted Boltzmann machines

Funding

  1. JSPS KAKENHI [25610103]
  2. Research Grant of Yonago National College of Technology
  3. Grants-in-Aid for Scientific Research [25610103, 16K13848] Funding Source: KAKEN

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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.

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