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The robust principal component analysis -LRB- robust PCA -RRB- problem has been considered in many machine learning applications , where the goal is to decompose the data matrix to a low rank part plus a sparse residual .
 used for: robust principal component analysis -LRB- robust PCA -RRB- problem, machine learning applications; part of: low rank part, data matrix; conjunction: low rank part, sparse residual; part of: sparse residual, data 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: robust principal component analysis -LRB- robust PCA -RRB- problem, machine learning applications; part of: low rank part, data matrix; conjunction: low rank part, sparse residual; part of: sparse residual, data matrix