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Image sets are compactly represented with multiple Grass-mannian manifolds which are subsequently embedded in Euclidean space with the proposed spectral clustering algorithm .
 used for: Grass-mannian manifolds, Image sets; used for: spectral clustering algorithm, Euclidean space
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:  Grass-mannian manifolds, Image sets; spectral clustering algorithm, Euclidean space 
Answer:
 used for: Grass-mannian manifolds, Image sets; used for: spectral clustering algorithm, Euclidean space