Restricted Boltzmann machines for the long range Ising models
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.
- Publication:
-
Modern Physics Letters B
- Pub Date:
- December 2016
- DOI:
- 10.1142/S0217984916504017
- arXiv:
- arXiv:1701.00246
- Bibcode:
- 2016MPLB...3050401A
- Keywords:
-
- Renormalization group;
- long range Ising model;
- restricted Boltzmann machines;
- Condensed Matter - Statistical Mechanics
- E-Print:
- 13 pages,6 figures