%0 Journal Article
%T Adaptive Thouless-Anderson-Palmer approach to inverse Ising problems with quenched random fields
%A Haiping Huang
%A Yoshiyuki Kabashima
%J Physics
%D 2013
%I arXiv
%R 10.1103/PhysRevE.87.062129
%X The adaptive Thouless-Anderson-Palmer equation is derived for inverse Ising problems in the presence of quenched random fields. We test the proposed scheme on Sherrington-Kirkpatrick, Hopfield, and random orthogonal models and find that the adaptive Thouless-Anderson-Palmer approach allows surprisingly accurate inference of quenched random fields whose distribution can be either Gaussian or bimodal, compared with other existing mean-field methods.
%U http://arxiv.org/abs/1303.2810v2