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.
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References
Kohonen, T.: Self-Organizing Maps. Springer Series in Information Sciences, vol. 3. Springer, Heidelberg (2001)
Nakatsuka, D., Oyabu, M.: Usefulness of Spherical SOM for Clustering. In: Proceedings 19th Fuzzy System Symposium, pp. 67–70 (2003)
Tokutaka, H., Fujimura, K., Ohkita, M.: Cluster Analysis using Spherical SOM ((in Japanese)). Journal of Biomedical Fuzzy Systems Association 8(1), 29–39 (2006)
Ultsch, A., Mörchen, F.: ESOM-Maps: tools for clustering, visualization, classification with Emergent SOM, Depart. Of Computer Science University of Marburg, Research Report 46 (2005)
Ultsch, A., Guimaraes, G., Korus, D., Li, H.: Knowledge extraction from artificial neural networks and applications. In: Proceedings of TAT/ WTC 1993, pp. 194–203. Springer, Heidelberg (1993)
Matsuda, N., Tokutaka, H., Oyabu, M.: Decision of Class Borders on Spherical SOM and Its Visualization. In: Leung, C.S., Lee, M., Chan, J.H. (eds.) ICONIP 2009. LNCS, vol. 5864, pp. 802–811. Springer, Heidelberg (2009)
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Matsuda, N., Tokutaka, H. (2011). Decision of Class Borders on a Spherical SOM with Non-equal Class Distributions. In: Laaksonen, J., Honkela, T. (eds) Advances in Self-Organizing Maps. WSOM 2011. Lecture Notes in Computer Science, vol 6731. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21566-7_33
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DOI: https://doi.org/10.1007/978-3-642-21566-7_33
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-21565-0
Online ISBN: 978-3-642-21566-7
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