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Higher-order accurate two-sample network inference and network hashing. (arXiv:2208.07573v1 [stat.ME])
Aug. 17, 2022, 1:11 a.m. | Meijia Shao, Dong Xia, Yuan Zhang, Qiong Wu, Shuo Chen
stat.ML updates on arXiv.org arxiv.org
Two-sample hypothesis testing for comparing two networks is an important yet
difficult problem. Major challenges include: potentially different sizes and
sparsity levels; non-repeated observations of adjacency matrices; computational
scalability; and theoretical investigations, especially on finite-sample
accuracy and minimax optimality. In this article, we propose the first provably
higher-order accurate two-sample inference method by comparing network moments.
Our method extends the classical two-sample t-test to the network setting. We
make weak modeling assumptions and can effectively handle networks of different
sizes …
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