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Layers in the input images will be mapped in the subspace , where it is proven that they form well-defined clusters and can be reliably identified by a simple mean-shift based clustering algorithm .
 part of: Layers, images; used for: images, clusters; used for: mean-shift based clustering algorithm, clusters
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:  Layers, images; images, clusters; mean-shift based clustering algorithm, clusters 
Answer:
 part of: Layers, images; used for: images, clusters; used for: mean-shift based clustering algorithm, clusters