This review deals with restricted Boltzmann machine (RBM) under the light of statistical
physics. The RBM is a classical family of machine learning (ML) models which played a …

In this study, we perform Monte Carlo simulations to study the magnetic properties of a
mixed Ising model on a cubic lattice where spins S i A= 1 and σ JB= 3/2 are located in …

Belief propagation is a well-studied algorithm for approximating local marginals of
multivariate probability distribution over complex networks, while tensor network states are …

Tensor renormalization group (TRG) method is a real space renormalization group
approach. It has been successfully applied to both classical and quantum systems. In this …

Graphical models for finite-dimensional spin glasses and real-world combinatorial
optimization and satisfaction problems usually have an abundant number of short loops. The …

Abstract The spin-1 Blume–Capel (BC) model is studied on the Bethe lattice (BL) for the±J
distribution with a competing adjustable parameter α which alters the strength of bilinear …

We present an alternate method to close the master equation representing the continuous
time dynamics of interacting Ising spins. The method makes use of the theory of random …

We exploit the quantum cluster variational method (QCVM) to study the J 1-J 2 model for
quantum Ising spins. We first describe the QCVM and discuss how it is related to other mean …

Loopy belief propagation (LBP), which is equivalent to the Bethe approximation in statistical
mechanics, is a message-passing-type inference method that is widely used to analyze …

We study two free energy approximations (Bethe and plaquette-CVM) for the Random Field
Ising Model in two dimensions. We compare results obtained by these two methods in single …