Optimal Estimation of the Number of Network Communities

Jiashun Jin, Zheng Tracy Ke, Shengming Luo and Minzhe Wang

Journal of the American Statistical Association, 2023, vol. 118, issue 543, 2101-2116

Abstract: In network analysis, how to estimate the number of communities K is a fundamental problem. We consider a broad setting where we allow severe degree heterogeneity and a wide range of sparsity levels, and propose Stepwise Goodness of Fit (StGoF) as a new approach. This is a stepwise algorithm, where for m=1,2,… , we alternately use a community detection step and a goodness of fit (GoF) step. We adapt SCORE Jin for community detection, and propose a new GoF metric. We show that at step m, the GoF metric diverges to ∞ in probability for all m

Date: 2023
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DOI: 10.1080/01621459.2022.2035736

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