Term of Award

Spring 1998

Degree Name

Master of Science in Applied Mathematics

Document Type and Release Option

Thesis (restricted to Georgia Southern)

Department

Department of Mathematics

Committee Chair

Richard Hathaway

Committee Member 1

John Davenport

Committee Member 2

Yingkang Hu

Abstract

This project will extend the family of clustering criterion

Dm,p(U, v1,v2,...,vc=ni=1Σ*ck=1ΣUmik II xk-viIIpp

to include the case of 0 < p < 1, and then to empirically examine how the choices of m and p in the extended family affect the influence of data outliers on cluster solutions. The study of this extended family of clustering methodology consists of the following three parts:

  1. devising a reliable approach to optimizing Dm.p based on a combination of techniques such as alternating optimization, bisection, and exhaustive search;

  2. implementing the optimization scheme in MATLAB;

  3. conducting numerical experiments to learn how the choices of m and p affect the clustering results.

Copyright

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