Paper:
Language: English:

Fuzzy c-Means Clustering Using Kernel Functions in Support Vector Machines

Sadaaki Miyamoto^* and Daisuke Suizu^**

*Institute of Engineering Mechanics and Systems, University of Tsukuba, Ibaraki 305-8573, Japan
**Graduate School of Systems and Information Engineering, University of Tsukuba, Ibaraki 305-8573, Japan

Received: August 28, 2002

Accepted: November 18, 2002

Keywords: clustering, fuzzy c-means, radial basis kernel functions, support vector machine

Journal ref: Journal of Advanced Computational Intelligence and Intelligent Informatics, Vol.7, No.1 pp. 25-30, 2003

Abstract

We studied clustering algorithms of fuzzy c-means using a kernel to represent an inner product for mapping into high-dimensional space. Such kernels have been studied in support vector machines used by many researchers in pattern classification. Algorithms of fuzzy c-means are transformed into kernel-based methods by changing objective functions, whereby new iterative minimization algorithms are derived. Numerical examples show that clusters that cannot be obtained without a kernel are generated.

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