Small-correlation expansions for the inverse Ising problem

被引：103
|
作者：
Sessak, Vitor [1 ]
Monasson, Remi [1 ]
机构：
[1] Ecole Normale Super, Phys Theor Lab, F-75231 Paris 05, France
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2009年 / 42卷 / 05期
关键词：
MEAN-FIELD THEORY; SOLVABLE MODEL;
D O I：
10.1088/1751-8113/42/5/055001
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We present a systematic small-correlation expansion to solve the inverse Ising problem and 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.
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页数：17
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