English

Generalization properties of restricted Boltzmann machine for short-range order

Disordered Systems and Neural Networks 2021-11-01 v5

Abstract

The restricted Boltzmann machine (RBM) is used to investigate short-range order in binary alloys. The network is trained on the data collected by Monte Carlo simulations for a simple Ising-like binary alloy model and used to calculate the Warren--Cowley short-range order parameter and other thermodynamic properties. We demonstrate that RBM not only reproduces the order parameters for the alloy concentration at which it was trained, but can also predict them for any other concentrations.

Cite

@article{arxiv.2101.08089,
  title  = {Generalization properties of restricted Boltzmann machine for short-range order},
  author = {M. A. Timirgazin and A. K. Arzhnikov},
  journal= {arXiv preprint arXiv:2101.08089},
  year   = {2021}
}

Comments

21 pages, 11 figures

R2 v1 2026-06-23T22:20:57.247Z