Weighted stochastic block model

Author:

Ng Tin Lok James,Murphy Thomas Brendan

Abstract

AbstractWe propose a weighted stochastic block model (WSBM) which extends the stochastic block model to the important case in which edges are weighted. We address the parameter estimation of the WSBM by use of maximum likelihood and variational approaches, and establish the consistency of these estimators. The problem of choosing the number of classes in a WSBM is addressed. The proposed model is applied to simulated data and an illustrative data set.

Funder

Science Foundation Ireland

University of Dublin, Trinity College

Publisher

Springer Science and Business Media LLC

Subject

Statistics, Probability and Uncertainty,Statistics and Probability

Reference43 articles.

1. Abbe E (2018) Community detection and stochastic block models: recent developments. J Mach Learn Res 18:1–86

2. Airoldi EM, Blei DM, Fienberg SE, Xing EP (2008) Mixed membership stochastic blockmodels. J Mach Learn Res 9:1981–2014

3. Aicher C, Jacobs AZ, Clauset A (2013) Adapting the stochastic block model to edge-weighted networks. ICML workshop on structured learning

4. Aicher C, Jacobs AZ, Clauset A (2015) Learning latent block structure in weighted networks. J Compl Netw 3:221–248

5. Allman ES, Matias C, Rhodes JA (2009) Identifiability of parameters in latent structure models with many observed variables. Ann Stat 37:3099–3132

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