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  "Title": "Consistent Estimation of the Number of Communities via\nRegularized Network Embedding",
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  "Authors@R": "c(person(\"Mingyang\", \"Ren\", email = \"renmingyang17@mails.ucas.ac.cn\", role = c(\"aut\", \"cre\"),\ncomment = c(ORCID = \"0000-0002-8061-9940\")),\nperson(\"Sanguo\", \"Zhang\", role = c(\"aut\")),\nperson(\"Junhui\", \"Wang\", role = c(\"aut\")))",
  "Description": "The network analysis plays an important role in numerous\napplication domains including biomedicine. Estimation of the\nnumber of communities is a fundamental and critical issue in\nnetwork analysis. Most existing studies assume that the number\nof communities is known a priori, or lack of rigorous\ntheoretical guarantee on the estimation consistency. This\nmethod proposes a regularized network embedding model to\nsimultaneously estimate the community structure and the number\nof communities in a unified formulation. The proposed model\nequips network embedding with a novel composite regularization\nterm, which pushes the embedding vector towards its center and\ncollapses similar community centers with each other. A rigorous\ntheoretical analysis is conducted, establishing asymptotic\nconsistency in terms of community detection and estimation of\nthe number of communities. Reference: Ren, M., Zhang S. and\nWang J. (2022). \"Consistent Estimation of the Number of\nCommunities via Regularized Network Embedding\". Biometrics,\n<doi:10.1111/biom.13815>.",
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