Dominant sets and pairwise clustering.

Massimiliano Pavan; Marcello Pelillo

doi:10.1109/tpami.2007.250608

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Dominant sets and pairwise clustering.

Massimiliano Pavan·Marcello Pelillo

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Abstract

We develop a new graph-theoretic approach for pairwise data clustering which is motivated by the analogies between the intuitive concept of a cluster and that of a dominant set of vertices, a notion introduced here which generalizes that of a maximal complete subgraph to edge-weighted graphs. We establish a correspondence between dominant sets and the extrema of a quadratic form over the standard simplex, thereby allowing the use of straightforward and easily implementable continuous optimization techniques from evolutionary game theory. Numerical examples on various point-set and image segmentation problems confirm the potential of the proposed approach.

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Algorithms Artificial Intelligence Cluster Analysis Image Enhancement Image Interpretation, Computer-Assisted Information Storage and Retrieval Pattern Recognition, Automated Journal Article

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Massimiliano Pavan, Marcello Pelillo. 2007. Dominant sets and pairwise clustering.. https://doi.org/10.1109/tpami.2007.250608

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