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We propose a convex problem to incorporate side information in robust PCA and show that the low rank matrix can be exactly recovered via the proposed method under certain conditions .
 used for: convex problem, side information; part of: side information, robust PCA; used for: method, low rank matrix
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: convex problem, side information; part of: side information, robust PCA; used for: method, low rank matrix