17_HierarchicalClustering.pdf - IAML&Hierarchical&Clustering Victor&Lavrenko&and&Nigel&Goddard School&of&Informa?cs Semester&1 Hierarchical&clustering

17_HierarchicalClustering.pdf -...

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IAML: Hierarchical Clustering Victor Lavrenko and Nigel Goddard School of Informa?cs Semester 1
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Copyright © 2014 Victor Lavrenko Hierarchical clustering
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Copyright © 2014 Victor Lavrenko Hierarchical KHmeans
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Copyright © 2014 Victor Lavrenko Agglomera?ve clustering
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Copyright © 2014 Victor Lavrenko Agglomera?ve clustering: example e a g b c d f h i j k l m n a b c d e f g h i j k m n l Dendrogram distance threshold number of clusters
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Copyright © 2014 Victor Lavrenko Cluster distance measures D ( c 1 , c 2 ) = 1 | c 1 | 1 | c 2 | D ( x 1 , x 2 ) x 2 c 2 x 1 c 1
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Copyright © 2014 Victor Lavrenko D = {D
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Unformatted text preview: i,j : distance between x i and x j for i,j=1..N} • for N itera?ons: i,j = arg min D i,j … pair of closest clusters add cluster: i+j, delete clusters i, j for each remaining cluster k: LanceHWilliams Algorithm D k,i+j = α i D k,i + α j D k,j + β D i,j + γ |D k,i H D k,j | Single link: D k,i+j = ½ (D ki + D kj- |D ki-D kj |) = min {D ki , D kj } min a,b = max a,b- |a-b| k i j i+j D k,j D k,i D i,j Copyright © 2014 Victor Lavrenko Summary...
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