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Some Mathematical Aspects of Cluster Analysis

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Richard McGehee,
*Department of Mathematics,
UMN*

Cluster analysis, a data mining technique
applied to such diverse areas as marketing, homeland
security, and medical research, has a simple mathematical
formulation. Although cluster analysis has been in use
for at least 35 years, there appear to be some unresolved
mathematical questions underlying some of the common
computational techniques used for analyzing large data
sets. In this lecture, I present an overview of the
subject and pose some open questions.