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

    Phys. Rev. E 87, 062129 – Published 19 June 2013
    Haiping Huang and Yoshiyuki Kabashima

    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

    • Figure
    • Figure
    • Figure
    • Figure
    • Received 12 March 2013
    • Revised 5 May 2013
    • Published 19 June 2013

    ©2013 American Physical Society

    Authors & Affiliations

    Haiping Huang and Yoshiyuki Kabashima

    • Department of Computational Intelligence and Systems Science, Tokyo Institute of Technology, Yokohama 226-8502, Japan

    Article Text

    Click to Expand

    References

    Click to Expand

    Authorization Required


    ×
    ×

    Images

    2 of 4
    ×

    Log In

    Cancel
    ×

    Search


    Article Lookup
    Paste a citation or DOI

    Enter a citation
    ×