Detecting memberships in multiplex networks via nonnegative matrix factorization and tensor decomposition

doi:10.1088/1367-2630/ada573

	Detecting memberships in multiplex networks via nonnegative matrix factorization and tensor decomposition
	Tang, Fengqin 1; Wang, Xiaozong 1; Zhao, Xuejing 2; Wang, Chunning3
	2025
发表期刊	NEW JOURNAL OF PHYSICS
卷号	27 期号:1
摘要	Multiplex networks provide a powerful data structure for capturing diverse relationships among nodes, and the challenge of community detection within these networks has recently attracted considerable attention. We propose a general and flexible generative model-the mixed membership multilayer stochastic block model, in which layers with meaningful similarities are grouped together. Within each layer group, the layers share the same mixed membership assignments of nodes to communities, but with distinct community link probability matrices. To address this, we developed non-negative matrix factorization and tensor decomposition (NMFTD), a joint clustering approach, to identify cohesive layer groups and determine the mixed memberships of nodes within them. Our method first clusters the layers using matrix factorization with graph regularization, followed by a tensor decomposition strategy enhanced by a corner-finding algorithm to uncover the nodes' mixed memberships in each group. The proposed method is asymptotically consistent, and its effectiveness is validated through experiments on synthetic and real-world multilayer networks. The results show that NMFTD exhibits robustness across various parameter settings, outperforming or competing closely with other methods.
关键词	community detection multiplex network tensor decomposition mixed membership multiplex stochastic block model
DOI	10.1088/1367-2630/ada573
收录类别	SCIE ; EI
ISSN	1367-2630
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary
WOS记录号	WOS:001398148300001
出版者	IOP Publishing Ltd
EI入藏号	20250417755255
EI主题词	Non-negative matrix factorization
EI分类号	1201 ; 1201.1 ; 1201.14 ; 1201.4 ; 1201.5 ; 1201.8 ; 1202.1
原始文献类型	Article
EISSN	1367-2630
引用统计	被引频次：1[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.lzufe.edu.cn/handle/39EH0E1M/38737
专题	统计与数据科学学院
通讯作者	Tang, Fengqin; Wang, Chunning
作者单位	1.Huaibei Normal Univ, Sch Math & Stat, Huaibei, Peoples R China; 2.Lanzhou Univ, Sch Math & Stat, Lanzhou, Peoples R China; 3.Lanzhou Univ Finance & Econ, Sch Stat & Data Sci, Lanzhou, Peoples R China
通讯作者单位	统计与数据科学学院
推荐引用方式 GB/T 7714	Tang, Fengqin,Wang, Xiaozong,Zhao, Xuejing,et al. Detecting memberships in multiplex networks via nonnegative matrix factorization and tensor decomposition[J]. NEW JOURNAL OF PHYSICS,2025,27(1).
APA	Tang, Fengqin,Wang, Xiaozong,Zhao, Xuejing,&Wang, Chunning.(2025).Detecting memberships in multiplex networks via nonnegative matrix factorization and tensor decomposition.NEW JOURNAL OF PHYSICS,27(1).
MLA	Tang, Fengqin,et al."Detecting memberships in multiplex networks via nonnegative matrix factorization and tensor decomposition".NEW JOURNAL OF PHYSICS 27.1(2025).