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In this paper , we develop a geometric framework for linear or nonlinear discriminant subspace learning and classification .
 used for: geometric framework, linear or nonlinear discriminant subspace learning and classification
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:  geometric framework, linear or nonlinear discriminant subspace learning and classification 
Answer:
 used for: geometric framework, linear or nonlinear discriminant subspace learning and classification