Adaptive Thouless-Anderson-Palmer approach to inverse Ising problems with quenched random fields
Disordered Systems and Neural Networks
2013-06-28 v2 Statistical Mechanics
Abstract
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.
Keywords
Cite
@article{arxiv.1303.2810,
title = {Adaptive Thouless-Anderson-Palmer approach to inverse Ising problems with quenched random fields},
author = {Haiping Huang and Yoshiyuki Kabashima},
journal= {arXiv preprint arXiv:1303.2810},
year = {2013}
}
Comments
9 pages, 4 figures, extensively revised