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We establish sufficient conditions for the concavity of our reweighted objective function in terms of weight assignments in the Kikuchi expansion , and show that a reweighted version of the sum product algorithm applied to the Kikuchi region graph will produce global optima of the Kikuchi approximation whenever the algorithm converges .
 feature of: concavity, reweighted objective function; used for: reweighted version of the sum product algorithm, Kikuchi region graph; feature of: global optima, Kikuchi approximation
Given a phrase that describes the relationship between two words, extract the words and the lexical relationship between them. The output format should be "relation1: word1, word2; relation2: word3, word4". 
Option: conjunction, feature of, hyponym of, used for, part of, compare, evaluate for 
Text: {0} 
Answer:
 feature of: concavity, reweighted objective function; used for: reweighted version of the sum product algorithm, Kikuchi region graph; feature of: global optima, Kikuchi approximation