Interacting Urns Processes for Clustering of Large-Scale Networks of Tiny Artifacts. (14th July 2010)

• Record Type: Journal Article
• Authors: Leone, Pierre; Schiller, Elad M.
• Is Part Of: International journal of distributed sensor networks. (2010)
• Publication Date: 2010-07-14
• Subjects: Sensor networks -- Periodicals; Intelligent agents (Computer software) -- Periodicals; Multisensor data fusion -- Periodicals; 681.2
• DOI: 10.1155/2010/936195
• Languages: English
• ISSNs: 1550-1329

Abstract

Abstract : We analyze a distributed variation on the Pólya urn process in which a network of tiny artifacts manages the individual urns. Neighboring urns interact by repeatedly adding the same colored ball based on previous random choices. We discover that the process rapidly converges to a definitive random ratio between the colors in every urn. Moreover, the rate of convergence of the process at a given node depends on the global topology of the network. In particular, the same ratio appears for the case of complete communication graphs. Surprisingly, this effortless random process supports useful applications, such as clustering and computation of pseudo-geometric coordinate. We present numerical studies that validate our theoretical predictions.