DC Field | Value | Language |
---|---|---|
dc.contributor.author | Lee, Sunmin | ko |
dc.contributor.author | Lee, Ji Oon | ko |
dc.date.accessioned | 2024-06-17T06:00:11Z | - |
dc.date.available | 2024-06-17T06:00:11Z | - |
dc.date.created | 2023-08-14 | - |
dc.date.issued | 2024-06 | - |
dc.identifier.citation | JOURNAL OF APPLIED PROBABILITY, v.61, pp.385 - 400 | - |
dc.identifier.issn | 0021-9002 | - |
dc.identifier.uri | http://hdl.handle.net/10203/319799 | - |
dc.description.abstract | We study the problem of detecting the community structure from the generalized stochastic block model with two communities (G2-SBM). Based on analysis of the Stieljtes transform of the empirical spectral distribution, we prove a Baik-Ben Arous-Peche (BBP)-type transition for the largest eigenvalue of the G2-SBM. For specific models, such as a hidden community model and an unbalanced stochastic block model, we provide precise formulas for the two largest eigenvalues, establishing the gap in the BBP-type transition. | - |
dc.language | English | - |
dc.publisher | CAMBRIDGE UNIV PRESS | - |
dc.title | Phase transition for the generalized two-community stochastic block model | - |
dc.type | Article | - |
dc.identifier.wosid | 001040071100001 | - |
dc.identifier.scopusid | 2-s2.0-85167718308 | - |
dc.type.rims | ART | - |
dc.citation.volume | 61 | - |
dc.citation.beginningpage | 385 | - |
dc.citation.endingpage | 400 | - |
dc.citation.publicationname | JOURNAL OF APPLIED PROBABILITY | - |
dc.identifier.doi | 10.1017/jpr.2023.44 | - |
dc.contributor.localauthor | Lee, Ji Oon | - |
dc.contributor.nonIdAuthor | Lee, Sunmin | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article; Early Access | - |
dc.subject.keywordAuthor | BBP-type transition | - |
dc.subject.keywordAuthor | empirical spectral distribution | - |
dc.subject.keywordAuthor | Wigner-type matrix | - |
dc.subject.keywordAuthor | hidden community model | - |
dc.subject.keywordAuthor | unbalanced stochastic block model | - |
dc.subject.keywordPlus | LARGEST EIGENVALUE | - |
dc.subject.keywordPlus | DEFORMATION | - |
dc.subject.keywordPlus | COMMUNITY | - |
dc.subject.keywordPlus | LIMITS | - |
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