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cs.LG2025
Ising Models with Hidden Markov Structure: Applications to Probabilistic Inference in Machine Learning
F. Herrera, U. A. Rozikov, M. V. Velasco
In this paper, we investigate tree-indexed Markov chains (Gibbs measures) defined by a Hamiltonian that couples two Ising layers: hidden spins \(s(x) \in \{\pm 1\}\) and observed s…
math.FA2025★ 2 cited
Coupled Ising-Potts Model: Rich Sets of Critical Temperatures and Translation-Invariant Gibbs Measures
F. H. Haydarov, B. A. Omirov, U. A. Rozikov
We consider a coupled Ising-Potts model on Cayley trees of order . This model involves spin vectors , and generalizes both the Ising and Potts models by incor…