The Pólya information divergence
Information Sciences: an International Journal
Fully analyzing an algebraic pólya urn model
LATIN'12 Proceedings of the 10th Latin American international conference on Theoretical Informatics
Degree distributions of evolving alphabetic bipartite networks and their projections
Theoretical Computer Science
Discovering coherent topics using general knowledge
Proceedings of the 22nd ACM international conference on Conference on information & knowledge management
Leveraging multi-domain prior knowledge in topic models
IJCAI'13 Proceedings of the Twenty-Third international joint conference on Artificial Intelligence
Analysis of a generalized Friedman's urn with multiple drawings
Discrete Applied Mathematics
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Incorporating a collection of recent results, Plya Urn Models deals with discrete probability through the modern and evolving urn theory and its numerous applications. The book first substantiates the realization of distributions with urn arguments and introduces several modern tools, including exchangeability and stochastic processes via urns. It reviews classical probability problems and presents dichromatic Plya urns as a basic discrete structure growing in discrete time. The author then embeds the discrete Plya urn scheme in Poisson processes to achieve an equivalent view in continuous time, provides heuristical arguments to connect the Plya process to the discrete urn scheme, and explores extensions and generalizations. He also discusses how functional equations for moment generating functions can be obtained and solved. The final chapters cover applications of urns to computer science and bioscience. Examining how urns can help conceptualize discrete probability principles, this book provides information pertinent to the modeling of dynamically evolving systems where particles come and go according to governing rules.