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Mixed Membership Stochastic Blockmodels.


ABSTRACT: Observations consisting of measurements on relationships for pairs of objects arise in many settings, such as protein interaction and gene regulatory networks, collections of author-recipient email, and social networks. Analyzing such data with probabilisic models can be delicate because the simple exchangeability assumptions underlying many boilerplate models no longer hold. In this paper, we describe a latent variable model of such data called the mixed membership stochastic blockmodel. This model extends blockmodels for relational data to ones which capture mixed membership latent relational structure, thus providing an object-specific low-dimensional representation. We develop a general variational inference algorithm for fast approximate posterior inference. We explore applications to social and protein interaction networks.

SUBMITTER: Airoldi EM 

PROVIDER: S-EPMC3119541 | biostudies-literature | 2008 Sep

REPOSITORIES: biostudies-literature

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Mixed Membership Stochastic Blockmodels.

Airoldi Edoardo M EM   Blei David M DM   Fienberg Stephen E SE   Xing Eric P EP  

Journal of machine learning research : JMLR 20080901


Observations consisting of measurements on relationships for pairs of objects arise in many settings, such as protein interaction and gene regulatory networks, collections of author-recipient email, and social networks. Analyzing such data with probabilisic models can be delicate because the simple exchangeability assumptions underlying many boilerplate models no longer hold. In this paper, we describe a latent variable model of such data called the mixed membership stochastic blockmodel. This m  ...[more]

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