Structural Inference of Hierarchies in Networks

dc.creatorClauset, Aaron
dc.creatorMoore, Cristopher
dc.creatorNewman, M. E. J.
dc.date2006-10-09
dc.date.accessioned2026-07-07T09:31:48Z
dc.date.available2026-07-07T09:31:48Z
dc.descriptionOne property of networks that has received comparatively little attention is hierarchy, i.e., the property of having vertices that cluster together in groups, which then join to form groups of groups, and so forth, up through all levels of organization in the network. Here, we give a precise definition of hierarchical structure, give a generic model for generating arbitrary hierarchical structure in a random graph, and describe a statistically principled way to learn the set of hierarchical features that most plausibly explain a particular real-world network. By applying this approach to two example networks, we demonstrate its advantages for the interpretation of network data, the annotation of graphs with edge, vertex and community properties, and the generation of generic null models for further hypothesis testing.
dc.description8 pages, 8 figures
dc.identifierhttps://arxiv.org/abs/physics/0610051
dc.identifierhttp://arxiv.org/abs/physics/0610051
dc.identifierProc. 23rd International Conference on Machine Learning (ICML), Workshop on Social Network Analysis, Pittsburgh PA, June 2006
dc.identifierdoi:10.1007/978-3-540-73133-7_1
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158586
dc.subjectPhysics and Society
dc.subjectMachine Learning
dc.subjectData Analysis, Statistics and Probability
dc.titleStructural Inference of Hierarchies in Networks
dc.typetext

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