2001 | OriginalPaper | Buchkapitel
On Clustering Using Random Walks
verfasst von : David Harel, Yehuda Koren
Erschienen in: FST TCS 2001: Foundations of Software Technology and Theoretical Computer Science
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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We propose a novel approach to clustering, based on deterministic analysis of random walks on the weighted graph associated with the clustering problem. The method is centered around what we shall call separating operators, which are applied repeatedly to sharpen the distinction between the weights of inter-cluster edges (the so-called separators), and those of intra-cluster edges. These operators can be used as a stand-alone for some problems, but become particularly powerful when embedded in a classical multi-scale framework and/or enhanced by other known techniques, such as agglomerative clustering. The resulting algorithms are simple, fast and general, and appear to have many useful applications.