Title: Susceptibility Propagation by Using Diagonal Consistency,
Abstract: A susceptibility propagation that is constructed by combining a belief
propagation and a linear response method is used for approximate computation
for Markov random fields. Herein, we formulate a new, improved susceptibility
propagation by using the concept of a diagonal matching method that is based on
mean-field approaches to inverse Ising problems. The proposed susceptibility
propagation is robust for various network structures, and it is reduced to the
ordinary susceptibility propagation and to the adaptive
Thouless-Anderson-Palmer equation in special cases.