Bayesian Community Detection

Bayesian Community Detection
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贝叶斯社区检测

DOI:
10.1214/17-ba1078
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发表时间:
2016
期刊:
影响因子:
4.4
通讯作者:
A. Vaart
A. Vaart
中科院分区:
数学2区
文献类型:
--
作者:
S. V. D. Pas;A. Vaart

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在随机分块模型中,当类的个数已知时,我们给出了类结构的贝叶斯估计。估计量是对应于类别比例上的Dirichlet先验、类别标签上的广义Bernoulli先验和边缘概率上的Beta先验的后验模式。我们证明了当期望度至少是$\log^2{n}$时,这个估计量是强相容的,其中$n$是网络中的节点数。
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.
DOI: 10.1103/physrevlett.100.258701
发表时间: 2008-06-27
影响因子: 8.6
作者:
Hofman, Jake M.;Wiggins, Chris H.
通讯作者: Wiggins, Chris H.