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arXiv · 1608.04242

Bayesian Community Detection

Stéphanie van der Pas·Aad van der Vaart
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Abstract

We introduce a Bayesian estimator of the underlying class structure in the stochastic block model, when the number of classes is known. The estimator is the posterior mode corresponding to a Dirichlet prior on the class proportions, a generalized Bernoulli prior on the class labels, and a beta prior on the edge probabilities. We show that this estimator is strongly consistent when the expected degree is at least of order $\log^2{n}$, where $n$ is the number of nodes in the network.

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Stéphanie van der Pas, Aad van der Vaart. 2016-08-15. Bayesian Community Detection. https://arxiv.org/abs/1608.04242

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