A Support Vector Method for Clustering

Ben-Hur, Asa, Horn, David, Siegelmann, Hava T., Vapnik, Vladimir

Neural Information Processing Systems 

We present a novel method for clustering using the support vector machine approach. Data points are mapped to a high dimensional feature space, where support vectors are used to define a sphere enclosing them. The boundary of the sphere forms in data space a set of closed contours containing the data. Data points enclosed by each contour are defined as a cluster. As the width parameter of the Gaussian kernel is decreased, these contours fit the data more tightly and splitting of contours occurs.

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