title: Mean-field method with correlations determined by linear response.
abstract: We introduce a mean-field approximation based on the reconciliation of maximum entropy and linear response for correlations in the cluster variation method. Within a general formalism that includes previous mean-field methods, we derive formulas improving on, 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.
authors.affiliation: Dipartimento di Fisica, Università La Sapienza, Piazzale Aldo Moro 5, I-00185 Rome, Italy.
authors.forename: Jack
authors.initials: J
authors.lastname: Raymond
authors.forename: Federico
authors.initials: F
authors.lastname: Ricci-Tersenghi
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D019277:Entropy; D016014:Linear Models; D013223:Statistics as Topic