Wednesday, November 28, 2012

1211.6400 (Jack Raymond et al.)

A mean field method with correlations determined by linear response    [PDF]

Jack Raymond, Federico Ricci-Tersenghi
We introduce an approximation based on the reconciliation of maximum entropy and linear response for correlations in the cluster variation method (CVM). Within a general formalism that includes previous mean-field methods, we derive formulas improving upon, e.g., the Bethe approximation and the Sessak-Monasson result at high temperature. Applying the method to direct and inverse Ising problems, we find improvements over standard implementations.
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