Small-correlation expansions for the inverse Ising problem

Details Small-correlation expansions for the inverse Ising problem Small-correlation expansions for the inverse Ising problem

2008-11-21

arxiv.org/abs/0811.3574v1

J. Phys. A: Math. Theor. 42 (2009) 055001

Physics

Condensed Matter

Disordered Systems and Neural Networks

To appear in J. Phys. A

Scientific paper

10.1088/1751-8113/42/5/055001

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.

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