Mixture models and exploratory analysis in networks

dc.creatorNewman, M. E. J.
dc.creatorLeicht, E. A.
dc.date2006-11-15
dc.date2007-05-31
dc.date.accessioned2026-07-07T08:11:13Z
dc.date.available2026-07-07T08:11:13Z
dc.descriptionNetworks are widely used in the biological, physical, and social sciences as a concise mathematical representation of the topology of systems of interacting components. Understanding the structure of these networks is one of the outstanding challenges in the study of complex systems. Here we describe a general technique for detecting structural features in large-scale network data which works by dividing the nodes of a network into classes such that the members of each class have similar patterns of connection to other nodes. Using the machinery of probabilistic mixture models and the expectation-maximization algorithm, we show that it is possible to detect, without prior knowledge of what we are looking for, a very broad range of types of structure in networks. We give a number of examples demonstrating how the method can be used to shed light on the properties of real-world networks, including social and information networks.
dc.description8 pages, 4 figures, two new examples in this version plus minor corrections
dc.identifierhttps://arxiv.org/abs/physics/0611158
dc.identifierhttp://arxiv.org/abs/physics/0611158
dc.identifierProc. Natl. Acad. Sci. USA 104, 9564-9569 (2007)
dc.identifierdoi:10.1073/pnas.0610537104
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132052
dc.subjectData Analysis, Statistics and Probability
dc.subjectStatistical Mechanics
dc.subjectPhysics and Society
dc.titleMixture models and exploratory analysis in networks
dc.typetext

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