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math.ST2022★ 1 cited
Information-theoretic Limits for Testing Community Structures in Weighted Networks
Mingao Yuan, Zuofeng Shang
Community detection refers to the problem of clustering the nodes of a network into groups. Existing inferential methods for community structure mainly focus on unweighted (binary)…
math.ST2022★ 1 cited
Statistical Limits for Testing Correlation of Hypergraphs
Mingao Yuan, Zuofeng Shang
In this paper, we consider the hypothesis testing of correlation between two -uniform hypergraphs on unlabelled nodes. Under the null hypothesis, the hypergraphs are indepen…