A Novel Kernel Method for Clustering

Authors:
Francesco Camastra;Alessandro Verri
Affiliations:
IEEE;-
Venue:
IEEE Transactions on Pattern Analysis and Machine Intelligence
Year:
2005

Citing 7
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Abstract

Kernel Methods are algorithms that, by replacing the inner product with an appropriate positive definite function, implicitly perform a nonlinear mapping of the input data into a high-dimensional feature space. In this paper, we present a kernel method for clustering inspired by the classical K-Means algorithm in which each cluster is iteratively refined using a one-class Support Vector Machine. Our method, which can be easily implemented, compares favorably with respect to popular clustering algorithms, like K-Means, Neural Gas, and Self-Organizing Maps, on a synthetic data set and three UCI real data benchmarks (IRIS data, Wisconsin breast cancer database, Spam database).