Thermodynamics of the Ising Model Encoded in Restricted Boltzmann Machines.

ABSTRACT: The restricted Boltzmann machine (RBM) is a two-layer energy-based model that uses its hidden-visible connections to learn the underlying distribution of visible units, whose interactions are often complicated by high-order correlations. Previous studies on the Ising model of small system sizes have shown that RBMs are able to accurately learn the Boltzmann distribution and reconstruct thermal quantities at temperatures away from the critical point Tc. How the RBM encodes the Boltzmann distribution and captures the phase transition are, however, not well explained. In this work, we perform RBM learning of the 2d and 3d Ising model and carefully examine how the RBM extracts useful probabilistic and physical information from Ising configurations. We find several indicators derived from the w

SUBMITTER: Gu J 

PROVIDER: S-EPMC9777808 | biostudies-literature | 2022 Nov

REPOSITORIES: biostudies-literature