Mixed membership stochastic blockmodels

Citation

Airoldi, Edoardo M.; Blei, David M.; Fienberg, Stephen E.; & Xing, Eric P. (2008). Mixed membership stochastic blockmodels. Journal of Machine Learning Research. vol. 9 pp. 1981-2014 , PMCID: PMC3119541

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.

URL

http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3119541/

Reference Type

Journal Article

Journal Title

Journal of Machine Learning Research

Author(s)

Airoldi, Edoardo M.
Blei, David M.
Fienberg, Stephen E.
Xing, Eric P.

Year Published

2008

Volume Number

9

Pages

1981-2014

PMCID

PMC3119541

Reference ID

937