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题名: Community detection in networks with unequal groups
作者: Zhang, P ;  Moore, C ;  Newman, MEJ
刊名: PHYSICAL REVIEW E
出版日期: 2016
卷号: 93, 期号:1, 页码:12303
学科分类: Physics
DOI: http://dx.doi.org/10.1103/PhysRevE.93.012303
通讯作者: Zhang, P (reprint author), Santa Fe Inst, Santa Fe, NM 87501 USA.
文章类型: Article
英文摘要: Recently, a phase transition has been discovered in the network community detection problem below which no algorithm can tell which nodes belong to which communities with success any better than a random guess. This result has, however, so far been limited to the case where the communities have the same size or the same average degree. Here we consider the case where the sizes or average degrees differ. This asymmetry allows us to assign nodes to communities with better-than-random success by examining their local neighborhoods. Using the cavity method, we show that this removes the detectability transition completely for networks with four groups or fewer, while for more than four groups the transition persists up to a critical amount of asymmetry but not beyond. The critical point in the latter case coincides with the point at which local information percolates, causing a global transition from a less-accurate solution to a more-accurate one.
类目[WOS]: Physics, Fluids & Plasmas ;  Physics, Mathematical
关键词[WOS]: GALTON-WATSON PROCESSES ;  RECONSTRUCTION ;  SYSTEMS ;  TREES
收录类别: SCI
项目资助者: U.S. National Science Foundation [DMS-1107796, DMS-1407207] ;  John Templeton Foundation ;  ARO [W911NF-12-R-0012]
语种: 英语
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/21814
Appears in Collections:理论物理所2016年知识产出_期刊论文

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Recommended Citation:
Zhang, P,Moore, C,Newman, MEJ. Community detection in networks with unequal groups[J]. PHYSICAL REVIEW E,2016,93(1):12303.
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