Estimating Parameters of a Probabilistic Heterogeneous Block Model via the EM Algorithm
Joint Authors
Source
Journal of Probability and Statistics
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-12-28
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
We introduce a semiparametric block model for graphs, where the within- and between-cluster edge probabilities are not constants within the blocks but are described by logistic type models, reminiscent of the 50-year-old Rasch model and the newly introduced α - β models.
Our purpose is to give a partition of the vertices of an observed graph so that the induced subgraphs and bipartite graphs obey these models, where their strongly interlaced parameters give multiscale evaluation of the vertices at the same time.
In this way, a profoundly heterogeneous version of the stochastic block model is built via mixtures of the above submodels, while the parameters are estimated with a special EM iteration.
American Psychological Association (APA)
Bolla, Marianna& Elbanna, Ahmed. 2015. Estimating Parameters of a Probabilistic Heterogeneous Block Model via the EM Algorithm. Journal of Probability and Statistics،Vol. 2015, no. 2015, pp.1-14.
https://search.emarefa.net/detail/BIM-1070004
Modern Language Association (MLA)
Bolla, Marianna& Elbanna, Ahmed. Estimating Parameters of a Probabilistic Heterogeneous Block Model via the EM Algorithm. Journal of Probability and Statistics No. 2015 (2015), pp.1-14.
https://search.emarefa.net/detail/BIM-1070004
American Medical Association (AMA)
Bolla, Marianna& Elbanna, Ahmed. Estimating Parameters of a Probabilistic Heterogeneous Block Model via the EM Algorithm. Journal of Probability and Statistics. 2015. Vol. 2015, no. 2015, pp.1-14.
https://search.emarefa.net/detail/BIM-1070004
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1070004