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We show that there is a closed-form -LRB- analytical -RRB- solution for one part of the Kullback-Leibler distance , viz the cross-entropy .
 used for: closed-form -LRB- analytical -RRB- solution, Kullback-Leibler distance; used for: closed-form -LRB- analytical -RRB- solution, cross-entropy; part of: cross-entropy, Kullback-Leibler distance
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:
 used for: closed-form -LRB- analytical -RRB- solution, Kullback-Leibler distance; used for: closed-form -LRB- analytical -RRB- solution, cross-entropy; part of: cross-entropy, Kullback-Leibler distance