1303.2810 (Haiping Huang et al.)

Adaptive Thouless-Anderson-Palmer approach to inverse Ising problems
with quenched random fields    [PDF]

Haiping Huang, Yoshiyuki Kabashima

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.

View original: http://arxiv.org/abs/1303.2810