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Interacting Urns Processes for Clustering of Large-Scale Networks of Tiny Artifacts
Joint Authors
Leone, Pierre
Schiller, Elad M.
Source
International Journal of Distributed Sensor Networks
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-07-14
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Telecommunications Engineering
Information Technology and Computer Science
Abstract EN
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.
American Psychological Association (APA)
Leone, Pierre& Schiller, Elad M.. 2010. Interacting Urns Processes for Clustering of Large-Scale Networks of Tiny Artifacts. International Journal of Distributed Sensor Networks،Vol. 2010, no. 2010, pp.1-11.
https://search.emarefa.net/detail/BIM-509554
Modern Language Association (MLA)
Leone, Pierre& Schiller, Elad M.. Interacting Urns Processes for Clustering of Large-Scale Networks of Tiny Artifacts. International Journal of Distributed Sensor Networks No. 2010 (2010), pp.1-11.
https://search.emarefa.net/detail/BIM-509554
American Medical Association (AMA)
Leone, Pierre& Schiller, Elad M.. Interacting Urns Processes for Clustering of Large-Scale Networks of Tiny Artifacts. International Journal of Distributed Sensor Networks. 2010. Vol. 2010, no. 2010, pp.1-11.
https://search.emarefa.net/detail/BIM-509554
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-509554