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Journal of Machine Learning Research 2 (2001) 125-137 Submitted 3/04; Published 12/01 Support Vector Clustering (2007)

Abstract
We present a novel clustering method using the approach of support vector machines. Data points are mapped by means of a Gaussian kernel to a high dimensional feature space, where we search for the minimal enclosing sphere. This sphere, when mapped back to data space, can separate into several components, each enclosing a separate cluster of points. We present a simple algorithm for identifying these clusters. The width of the Gaussian kernel controls the scale at which the data is probed while the soft margin constant helps coping with outliers and overlapping clusters. The structure of a dataset is explored by varying the two parameters, maintaining a minimal number of support vectors to assure smooth cluster boundaries. We demonstrate the performance of our algorithm on several datasets.

Publication details
Download http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.7.4744
Source http://neuron.tau.ac.il/~horn/./publications/svc1.ps.gz
Contributors CiteSeerX
Repository CiteSeerX - Scientific Literature Digital Library and Search Engine (United States)
Keywords Clustering, Support Vectors Machines, Gaussian Kernel
Type text
Language English
Relation 10.1.1.39.912, 10.1.1.98.5622, 10.1.1.77.5569, 10.1.1.17.6023, 10.1.1.56.9308, 10.1.1.24.3488