Decision of class borders on a spherical SOM with non-equal class distributions

Authors:
Nobuo Matsuda;Heizo Tokutaka
Affiliations:
Oshima College of Maritime Technology, Electronic and Mechanical Engineering, Yamaguchi-ken, Japan;SOM JAPAN Co. Ltd., Tottori, Japan
Venue:
WSOM'11 Proceedings of the 8th international conference on Advances in self-organizing maps
Year:
2011

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Abstract

We propose an approach to the determination of class borders on a SOM with non-equal class distributions. Our approach treats the class distribution as a variance-covariance matrix. The class distribution is expressed by a variance-covariance matrix and its decision border between the classes is determined from input data by using the eigenvalues and the corresponding eigenvectors of the matrices. Using the iris dataset of Fisher, it is shown that our approach allows the effect of non-equal class distributions on the decision borders to be successfully visualized in a qualitative and comprehensible manner.