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Award ID contains: 1712958

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  1. ; ; (, Proceedings of Machine Learning Research)
    null; null (Ed.)
    Consider a large social network with possibly severe degree heterogeneity and mixed-memberships. We are interested in testing whether the network has only one community or there are more than one communities. The problem is known to be non-trivial, partially due to the presence of severe degree heterogeneity. We construct a class of test statistics using the numbers of short paths and short cycles, and the key to our approach is a general framework for canceling the effects of degree heterogeneity. The tests compare favorably with existing methods. We support our methods with careful analysis and numerical study with simulated data and a real data example. 
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    Accepted Manuscript Full Text Available
  2. ; ; (, The Annals of Statistics)
    Full Text Available