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相关论文: Community Detection with a Subsampled Semidefinite…

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Community detection is one of the most important and challenging problems in network analysis. However, real-world networks may have very different structural properties and communities of various nature. As a result, it is hard (or even…

社会与信息网络 · 计算机科学 2019-06-25 Liudmila Prokhorenkova

We consider the community detection problem in sparse random hypergraphs under the non-uniform hypergraph stochastic block model (HSBM), a general model of random networks with community structure and higher-order interactions. When the…

统计理论 · 数学 2024-12-11 Ioana Dumitriu , Haixiao Wang , Yizhe Zhu

In this paper, we study community detection when we observe $m$ sparse networks and a high dimensional covariate matrix, all encoding the same community structure among $n$ subjects. In the asymptotic regime where the number of features $p$…

统计理论 · 数学 2023-01-13 Zongming Ma , Sagnik Nandy

Semidefinite programming (SDP) is a powerful framework from convex optimization that has striking potential for data science applications. This paper develops a provably correct randomized algorithm for solving large, weakly constrained SDP…

最优化与控制 · 数学 2021-03-26 Alp Yurtsever , Joel A. Tropp , Olivier Fercoq , Madeleine Udell , Volkan Cevher

Community detection is the problem of identifying community structure in graphs. Often the graph is modeled as a sample from the Stochastic Block Model, in which each vertex belongs to a community. The probability that two vertices are…

概率论 · 数学 2021-11-12 Souvik Dhara , Julia Gaudio , Elchanan Mossel , Colin Sandon

In recent years, there has been a surge of interest in community detection algorithms for complex networks. A variety of computational heuristics, some with a long history, have been proposed for the identification of communities or,…

物理与社会 · 物理学 2012-03-06 Michael T. Schaub , Jean-Charles Delvenne , Sophia N. Yaliraki , Mauricio Barahona

Community detection remains an important problem in data mining, owing to the lack of scalable algorithms that exploit all aspects of available data - namely the directionality of flow of information and the dynamics thereof. Most existing…

社会与信息网络 · 计算机科学 2018-05-15 Rajagopal Venkatesaramani , Yevgeniy Vorobeychik

Multiplex networks have emerged as a promising approach for modeling complex systems, where each layer represents a different mode of interaction among entities of the same type. A core task in analyzing these networks is to identify the…

社会与信息网络 · 计算机科学 2024-11-11 Meiby Ortiz-Bouza , Selin Aviyente

Neural node embeddings have recently emerged as a powerful representation for supervised learning tasks involving graph-structured data. We leverage this recent advance to develop a novel algorithm for unsupervised community discovery in…

社会与信息网络 · 计算机科学 2017-06-30 Weicong Ding , Christy Lin , Prakash Ishwar

The increasing prevalence of network data in a vast variety of fields and the need to extract useful information out of them have spurred fast developments in related models and algorithms. Among the various learning tasks with network…

统计方法学 · 统计学 2023-04-10 Luyi Shen , Arash Amini , Nathaniel Josephs , Lizhen Lin

Many real world networks consist of multiple types of nodes with edges that are heterogeneous in nature. However, most of the existing work for community detection only focused on homogeneous network consisting of a single layer. In this…

统计方法学 · 统计学 2017-09-19 Fan Yang , Fengshuo Zhang

We consider spectral clustering algorithms for community detection under a general bipartite stochastic block model (SBM). A modern spectral clustering algorithm consists of three steps: (1) regularization of an appropriate adjacency or…

统计理论 · 数学 2018-12-27 Zhixin Zhou , Arash A. Amini

Multiplex networks have become increasingly more prevalent in many fields, and have emerged as a powerful tool for modeling the complexity of real networks. There is a critical need for developing inference models for multiplex networks…

社会与信息网络 · 计算机科学 2023-02-14 Arash A. Amini , Marina S. Paez , Lizhen Lin

Dynamic networks, especially those representing social networks, undergo constant evolution of their community structure over time. Nodes can migrate between different communities, communities can split into multiple new communities,…

社会与信息网络 · 计算机科学 2017-08-29 Timothy La Fond , Geoffrey Sanders , Christine Klymko , Van Emden Henson

Community detection seeks to recover mesoscopic structure from network data that may be binary, count-valued, signed, directed, weighted, or multilayer. The stochastic block model (SBM) explains such structure by positing a latent partition…

统计理论 · 数学 2026-01-07 Marios Papamichalis , Regina Ruane

The binary symmetric stochastic block model deals with a random graph of $n$ vertices partitioned into two equal-sized clusters, such that each pair of vertices is connected independently with probability $p$ within clusters and $q$ across…

机器学习 · 统计学 2016-01-07 Bruce Hajek , Yihong Wu , Jiaming Xu

Multi-view data arises frequently in modern network analysis e.g. relations of multiple types among individuals in social network analysis, longitudinal measurements of interactions among observational units, annotated networks with noisy…

统计理论 · 数学 2024-01-17 Xiaodong Yang , Buyu Lin , Subhabrata Sen

Clustering of single-cell RNA sequencing (scRNA-seq) datasets can give key insights into the biological functions of cells. Therefore, it is not surprising that network-based community detection methods (one of the better clustering…

统计方法学 · 统计学 2026-02-17 Chetkar Jha , Mingyao Li , Ian Barnett

Spectral clustering methods which are frequently used in clustering and community detection applications are sensitive to the specific graph constructions particularly when imbalanced clusters are present. We show that ratio cut (RCut) or…

机器学习 · 统计学 2016-11-18 Cem Aksoylar , Jing Qian , Venkatesh Saligrama

We investigate the widely encountered problem of detecting communities in multiplex networks, such as social networks, with an unknown arbitrary heterogeneous structure. To improve detectability, we propose a generative model that leverages…

社会与信息网络 · 计算机科学 2019-11-27 Yuming Huang , Ashkan Panahi , Hamid Krim , Liyi Dai