A novel kernel method for clustering.

Francesco Camastra; Alessandro Verri

doi:10.1109/tpami.2005.88

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A novel kernel method for clustering.

Francesco Camastra·Alessandro Verri

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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).

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Algorithms Artificial Intelligence Breast Neoplasms Cluster Analysis Computer Simulation Diagnosis, Computer-Assisted Humans Information Storage and Retrieval Models, Biological Models, Statistical Pattern Recognition, Automated Reproducibility of Results Sensitivity and Specificity Comparative Study Evaluation Study Journal Article Research Support, Non-U.S. Gov't Validation Study

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Francesco Camastra, Alessandro Verri. 2005. A novel kernel method for clustering.. https://doi.org/10.1109/tpami.2005.88

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