# Multiple Hypothesis Testing To Estimate The Number of Communities in Sparse Stochastic Block Models

@inproceedings{Jha2022MultipleHT, title={Multiple Hypothesis Testing To Estimate The Number of Communities in Sparse Stochastic Block Models}, author={Chetkar Jha and Mingyao Li and Ian Barnett}, year={2022} }

Network-based clustering methods frequently require the number of communities to be specified a priori. Moreover, most of the existing methods for estimating the number of communities assume the number of communities to be fixed and not scale with the network size n. The few methods that assume the number of communities to increase with the network size n are only valid when the average degree d of a network grows at least as fast as O(n) (i.e., the dense case) or lies within a narrow range…

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