Loop series for discrete statistical models on graphs

In this paper we present the derivation details, logic, and motivation for the three loop calculus introduced in Chertkov and Chernyak (2006 Phys. Rev. E 73 065102(R)). Generating functions for each of the three interrelated discrete statistical models are expressed in terms of a finite series. The first term in the series corresponds to the Bethe

• Type: Journal
• Year: 2006
• Where: CORR
• Authors: Michael Chertkov, Vladimir Y. Chernyak
• Keywords: BP Contribution, CORR 2006, Education, Factor Graph, Loop