Dominant Sets and Pairwise Clustering

—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.

• Type: Journal
• Year: 2007
• Where: PAMI
• Authors: Massimiliano Pavan, Marcello Pelillo
• Keywords: Continuous Optimization Techniques, Dominant Sets, Maximal Complete Subgraph, PAMI 2007