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Related papers: Dynamic Network Sampling for Community Detection

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To capture the inherent geometric features of many community detection problems, we propose to use a new random graph model of communities that we call a Geometric Block Model. The geometric block model generalizes the random geometric…

Social and Information Networks · Computer Science 2018-01-25 Sainyam Galhotra , Arya Mazumdar , Soumyabrata Pal , Barna Saha

Dynamic networks are a general language for describing time-evolving complex systems, and discrete time network models provide an emerging statistical technique for various applications. It is a fundamental research question to detect the…

Methodology · Statistics 2017-12-21 Kevin H. Lee , Lingzhou Xue , David R. Hunter

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…

Methodology · Statistics 2017-09-19 Fan Yang , Fengshuo Zhang

The community detection problem involves making inferences about node labels in a graph, based on observing the graph edges. This paper studies the effect of additional, non-graphical side information on the phase transition of exact…

Information Theory · Computer Science 2019-01-30 Hussein Saad , Aria Nosratinia

The stochastic block model (SBM) with two communities, or equivalently the planted bisection model, is a popular model of random graph exhibiting a cluster behaviour. In the symmetric case, the graph has two equally sized clusters and…

Social and Information Networks · Computer Science 2014-10-29 Emmanuel Abbe , Afonso S. Bandeira , Georgina Hall

Community detection is the task of clustering objects based on their pairwise relationships. Most of the model-based community detection methods, such as the stochastic block model and its variants, are designed for networks with binary…

Machine Learning · Statistics 2024-12-06 Xiang Li , Yunpeng Zhao , Qing Pan , Ning Hao

Community detections for large-scale real world networks have been more popular in social analytics. In particular, dynamically growing network analyses become important to find long-term trends and detect anomalies. In order to analyze…

Social and Information Networks · Computer Science 2018-08-21 Hiroki Kanezashi , Toyotaro Suzumura

The stochastic block model (SBM) is a mixture model used for the clustering of nodes in networks. It has now been employed for more than a decade to analyze very different types of networks in many scientific fields such as Biology and…

Methodology · Statistics 2014-05-12 E. Côme , P. Latouche

Community detection is the problem of identifying dense communities in networks. Motivated by transitive behavior in social networks ("thy friend is my friend"), an emerging line of work considers spatially-embedded networks, which…

Probability · Mathematics 2025-12-30 Julia Gaudio , Andrew Jin

Community structures detection in complex network is important for understanding not only the topological structures of the network, but also the functions of it. Stochastic block model and nonnegative matrix factorization are two widely…

Social and Information Networks · Computer Science 2017-07-11 Zhong-Yuan Zhang , Yujie Gai , Yu-Fei Wang , Hui-Min Cheng , Xin Liu

Given a time-evolving network, how can we detect communities over periods of high internal and low external interactions? To address this question we generalize traditional local community detection in graphs to the setting of dynamic…

Social and Information Networks · Computer Science 2017-09-14 Daniel J. DiTursi , Gaurav Ghosh , Petko Bogdanov

A nonparametric approach to the modeling of social networks using degree-corrected stochastic blockmodels is proposed. The model for static network consists of a stochastic blockmodel using a probit regression formulation and popularity…

Applications · Statistics 2019-08-27 Linda S. L. Tan , Maria De Iorio

This paper investigates fundamental limits of exact recovery in the general d-uniform hypergraph stochastic block model (d-HSBM), wherein n nodes are partitioned into k disjoint communities with relative sizes (p1,..., pk). Each subset of…

Information Theory · Computer Science 2022-09-12 Qiaosheng Zhang , Vincent Y. F. Tan

The community detection problem requires to cluster the nodes of a network into a small number of well-connected "communities". There has been substantial recent progress in characterizing the fundamental statistical limits of community…

Network is a simple but powerful representation of real-world complex systems. Network community analysis has become an invaluable tool to explore and reveal the internal organization of nodes. However, only a few methods were directly…

Social and Information Networks · Computer Science 2016-03-23 Xuemei Ning , Zhaoqi Liu , Shihua Zhang

We describe a novel method for modeling non-stationary multivariate time series, with time-varying conditional dependencies represented through dynamic networks. Our proposed approach combines traditional multi-scale modeling and network…

Methodology · Statistics 2017-12-25 Xinyu Kang , Apratim Ganguly , Eric D. Kolaczyk

We study the problem of community detection in hypergraphs under a stochastic block model. Similarly to how the stochastic block model in graphs suggests studying spiked random matrices, our model motivates investigating statistical and…

Data Structures and Algorithms · Computer Science 2018-07-05 Chiheon Kim , Afonso S. Bandeira , Michel X. Goemans

We consider the problem of community detection in the Stochastic Block Model with a finite number $K$ of communities of sizes linearly growing with the network size $n$. This model consists in a random graph such that each pair of vertices…

Social and Information Networks · Computer Science 2014-12-24 Se-Young Yun , Alexandre Proutiere

The increasing penetration of variable renewable energy (VRE) has brought significant challenges for power systems planning and operation. These highly variable sources are typically distributed in the grid; therefore, a detailed…

We study the problem of learning communities in the presence of modeling errors and give robust recovery algorithms for the Stochastic Block Model (SBM). This model, which is also known as the Planted Partition Model, is widely used for…

Data Structures and Algorithms · Computer Science 2016-06-27 Konstantin Makarychev , Yury Makarychev , Aravindan Vijayaraghavan