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Based on this assumption , firstly we derived the dimensionality reduction and density estimation algorithm for unsupervised learning of object intrinsic representation , the obtained non-rigid part of object state reduces even to 2 dimensions .
 used for: dimensionality reduction and density estimation algorithm, unsupervised learning of object intrinsic representation
Given options, please tell me the relationships of all the listed entity pairs.Output format is "relation1: word1, word2; relation2: word3, word4". 
Option: conjunction, feature of, hyponym of, used for, part of, compare, evaluate for 
Text: {0} 
 Entity Pairs:  dimensionality reduction and density estimation algorithm, unsupervised learning of object intrinsic representation 
Answer:
 used for: dimensionality reduction and density estimation algorithm, unsupervised learning of object intrinsic representation