An interesting connection between hierarchical clustering and kmeans clustering

Giulio Genovese

Dartmouth College

I am going to introduce some of the most used clustering algorithms in real applications, that is, hierarchical clustering (also known as average linkage clustering or UPGMA), kmeans clustering and spectral clustering, trying to show some of the mathematical connections recently discovered in between kmeans clustering and spectral clustering involving mainly linear algebra tools. Moreover I will show how some of these arguments can be used to link hierarchical clustering and kmeans clustering.

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