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We study the frequentist properties of Bayesian statistical inference for the stochastic block model, with an unknown number of classes of varying sizes.
“Stochastic blockmodels: First steps”
P.˜W. Holland, K.˜B. Laskey and S. Leinhardt · 1983
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“Asymptotic methods in statistical decision theory”
L. Le˜Cam · 1986
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“On the Bernstein-Von Mises Theorem with Infinite-Dimensional Parameters”
D. Freedman · 1999
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“Detecting functional modules in the yeast protein–protein interaction network”
Jingchun Chen and Bo Yuan · 2006
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“Integration of biological networks and gene expression data using Cytoscape”
M.S. Cline et al · 2007
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“Classification and estimation in the Stochastic Blockmodel based on the empirical degrees”
A. Channarond, J.-J. Daudin and S. Robin · 2012
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“Community Detection in General Stochastic Block models: Fundamental Limits and Efficient Algorithms for Recovery”
E. Abbe and C. Sandon · 2015
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“Convergence of the groups posterior distribution in latent or stochastic block models”
M. Mariadassou and C. Matias · 2015
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“Consistency thresholds for the planted bisection model”
E. Mossel, J. Neeman and A. Sly · 2016
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“Minimax rates of community detection in stochastic block models”
A.Y. Zhang and H.H. Zhou · 2016
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“Community Detection and Stochastic Block Models: Recent Developments”
E. Abbe · 2018
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“Proof of the Achievability Conjectures for the General Stochastic Block Model”
Emmanuel Abbe and Colin Sandon · 2018
“Probabilistic Community Detection With Unknown Number of Communities”
J. Geng, A. Bhattacharya and D. Pati · 2018
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“Recovery, detection and confidence sets of communities in a sparse stochastic block model”
B… Kleijn and J. van Waaij · 2018
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“Bayesian Community Detection”
S.L. van and A.W. van · 2018
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“A General Framework for Bayes Structured Linear Models”
C. Gao, A.W. van˜der˜Vaart and H.H. Zhou · 2019
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“Posterior Contraction Rates for Stochastic Block Models”
P. Ghosh, D. Pati and A. Bhattacharya · 2019
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“Frequentist validity of Bayesian limits”
B… Kleijn · 2020
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Cited alongside, same era.