Small-correlation expansions for the inverse Ising problem
Disordered Systems and Neural Networks
2009-01-07 v1 Statistical Mechanics
Abstract
We present a systematic small-correlation expansion to solve the inverse Ising problem: find a set of couplings and fields corresponding to a given set of correlations and magnetizations. Couplings are calculated up to the third order in the correlations for generic magnetizations, and to the seventh order in the case of zero magnetizations; in addition we show how to sum some useful classes of diagrams exactly. The resulting expansion outperforms existing algorithms on the Sherrington-Kirkpatrick spin-glass model.
Cite
@article{arxiv.0811.3574,
title = {Small-correlation expansions for the inverse Ising problem},
author = {Vitor Sessak and Rémi Monasson},
journal= {arXiv preprint arXiv:0811.3574},
year = {2009}
}
Comments
To appear in J. Phys. A