Empirical Bayes estimation for the stochastic blockmodel

DOI10.1214/16-EJS1115zbMath1333.62088arXiv1405.6070MaRDI QIDQ262706

Minh Tang, Runze Tang, Daniel L. Sussman, Dominic S. Lee, Shakira Suwan, Carey E. Priebe

Publication date: 30 March 2016

Published in: Electronic Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.6070

zbMATH Keywords

Bayesian inferenceadjacency spectral graph embeddingrandom dot product graph modelstochastic blockmodel

Mathematics Subject Classification ID

Classification and discrimination; cluster analysis (statistical aspects) (62H30) Bayesian inference (62F15)

Related Items (5)

Bayesian community detection ⋮ Asymptotic uncertainty quantification for communities in sparse planted bi-section models ⋮ Posterior contraction rates for stochastic block models ⋮ Perfect clustering for stochastic blockmodel graphs via adjacency spectral embedding ⋮ Statistical inference on random dot product graphs: a survey

Cites Work

• A limit theorem for scaled eigenvectors of random dot product graphs
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• Asymptotic normality of maximum likelihood and its variational approximation for stochastic blockmodels
• Perfect clustering for stochastic blockmodel graphs via adjacency spectral embedding
• Spectral clustering and the high-dimensional stochastic blockmodel
• Estimation and prediction for stochastic blockmodels for graphs with latent block structure
• Consistency of maximum-likelihood and variational estimators in the stochastic block model
• Stochastic blockmodels with a growing number of classes
• A nonparametric view of network models and Newman–Girvan and other modularities
• Mixed membership stochastic blockmodels
• Estimation and Prediction for Stochastic Blockstructures
• Model-Based Clustering, Discriminant Analysis, and Density Estimation
• Latent Space Approaches to Social Network Analysis
• A Consistent Adjacency Spectral Embedding for Stochastic Blockmodel Graphs
• A Survey of Statistical Network Models
• Consistent Adjacency-Spectral Partitioning for the Stochastic Block Model When the Model Parameters Are Unknown
• Random Dot Product Graph Models for Social Networks

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