Small-correlation expansions for the inverse Ising problem

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dc.creatorSessak, Vitor
dc.creatorMonasson, Rémi
dc.date2008-11-21
dc.date.accessioned2026-07-07T12:24:50Z
dc.date.available2026-07-07T12:24:50Z
dc.descriptionWe 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.
dc.descriptionTo appear in J. Phys. A
dc.identifierhttps://arxiv.org/abs/0811.3574
dc.identifierhttp://arxiv.org/abs/0811.3574
dc.identifierJ. Phys. A: Math. Theor. 42 (2009) 055001
dc.identifierdoi:10.1088/1751-8113/42/5/055001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/214445
dc.subjectDisordered Systems and Neural Networks
dc.subjectStatistical Mechanics
dc.titleSmall-correlation expansions for the inverse Ising problem
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