Term of Award

Spring 1998

Degree Name

Master of Science in Applied Mathematics

Document Type and Release Option

Thesis (restricted to Georgia Southern)

Committee Chair

Richard Hathaway

Committee Member 1

John Davenport

Committee Member 2

Yingkang Hu


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.

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