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 accurate inference of quenched random fields whose distribution can be either Gaussian or bimodal. In particular, another competitive method for inferring external fields, namely, the naive mean field method with diagonal weights, is compared and discussed.
DOI: http://dx.doi.org/10.1103/PhysRevE.87.062129
- Received 12 March 2013
- Revised 5 May 2013
- Published 19 June 2013
©2013 American Physical Society