Functorial Hierarchical Clustering with Overlaps

8 Sep 2016Jared CulbertsonDan P. GuralnikPeter F. Stiller

This work draws inspiration from three important sources of research on dissimilarity-based clustering and intertwines those three threads into a consistent principled functorial theory of clustering. Those three are the overlapping clustering of Jardine and Sibson, the functorial approach of Carlsson and M\'{e}moli to partition-based clustering, and the Isbell/Dress school's study of injective envelopes... (read more)

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