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A myriad of approaches have been proposed to characterise the mesoscale structure of networks - most often as a partition based on patterns variously called communities, blocks, or clusters. Clearly, distinct methods designed to detect…

Social and Information Networks · Computer Science 2023-10-06 Lena Mangold , Camille Roth

The problem of community detection with two equal-sized communities is closely related to the minimum graph bisection problem over certain random graph models. In the stochastic block model distribution over networks with community…

Optimization and Control · Mathematics 2022-05-13 Alberto Del Pia , Aida Khajavirad , Dmitriy Kunisky

Gaussian belief propagation (BP) has been widely used for distributed inference in large-scale networks such as the smart grid, sensor networks, and social networks, where local measurements/observations are scattered over a wide…

Machine Learning · Computer Science 2017-11-21 Jian Du , Shaodan Ma , Yik-Chung Wu , Soummya Kar , José M. F. Moura

The stochastic block model is one of the most studied network models for community detection. It is well-known that most algorithms proposed for fitting the stochastic block model likelihood function cannot scale to large-scale networks.…

Methodology · Statistics 2021-08-31 Jiangzhou Wang , Jingfei Zhang , Binghui Liu , Ji Zhu , Jianhua Guo

Message passing type algorithms such as the so-called Belief Propagation algorithm have recently gained a lot of attention in the statistics, signal processing and machine learning communities as attractive algorithms for solving a variety…

Discrete Mathematics · Computer Science 2016-03-10 David Gamarnik , Devavrat Shah , Yehua Wei

How can we tell when accounts are fake or real in a social network? And how can we tell which accounts belong to liberal, conservative or centrist users? Often, we can answer such questions and label nodes in a network based on the labels…

Databases · Computer Science 2014-10-17 Wolfgang Gatterbauer , Stephan Günnemann , Danai Koutra , Christos Faloutsos

Community detection, also known as graph partitioning, is a well-known NP-hard combinatorial optimization problem with applications in diverse fields such as complex network theory, transportation, and smart power grids. The problem's…

Optimization and Control · Mathematics 2025-01-03 Wei Li , Yi-Lun Du , Nan Su , Konrad Tywoniuk , Kyle Godbey , Horst Stöcker

The stochastic block model (SBM) and degree-corrected block model (DCBM) are network models often selected as the fundamental setting in which to analyze the theoretical properties of community detection methods. We consider the problem of…

Statistics Theory · Mathematics 2023-06-19 Jonathan Hehir , Aleksandra Slavkovic , Xiaoyue Niu

Social networks are often associated with rich side information, such as texts and images. While numerous methods have been developed to identify communities from pairwise interactions, they usually ignore such side information. In this…

Social and Information Networks · Computer Science 2024-03-01 Guillaume Braun , Masashi Sugiyama

Low-complexity near-optimal detection of large-MIMO signals has attracted recent research. Recently, we proposed a local neighborhood search algorithm, namely `reactive tabu search' (RTS) algorithm, as well as a factor-graph based `belief…

Information Theory · Computer Science 2010-01-15 Tanumay Datta , N. Srinidhi , A. Chockalingam , B. Sundar Rajan

Community detection is considered for a stochastic block model graph of n vertices, with K vertices in the planted community, edge probability p for pairs of vertices both in the community, and edge probability q for other pairs of…

Machine Learning · Statistics 2018-01-17 Bruce Hajek , Yihong Wu , Jiaming Xu

Motivated by social network analysis and network-based recommendation systems, we study a semi-supervised community detection problem in which the objective is to estimate the community label of a new node using the network topology and…

Social and Information Networks · Computer Science 2023-06-05 Yicong Jiang , Tracy Ke

Discovering and characterizing the large-scale topological features in empirical networks are crucial steps in understanding how complex systems function. However, most existing methods used to obtain the modular structure of networks…

Data Analysis, Statistics and Probability · Physics 2014-03-26 Tiago P. Peixoto

Belief Propagation is a well-studied message-passing algorithm that runs over graphical models and can be used for approximate inference and approximation of local marginals. The resulting approximations are equivalent to the Bethe-Peierls…

Quantum Physics · Physics 2021-05-05 Roy Alkabetz , Itai Arad

The rapid development of the mobile communications requires ever higher spectral efficiency. The non-orthogonal multiple access (NOMA) has emerged as a promising technology to further increase the access efficiency of wireless networks.…

Information Theory · Computer Science 2017-10-25 Weijie Yuan , Nan Wu , Qinghua Guo , Yonghui Li , Chengwen Xing , Jingming Kuang

Blockmodels are a foundational tool for modeling community structure in networks, with the stochastic blockmodel (SBM), degree-corrected blockmodel (DCBM), and popularity-adjusted blockmodel (PABM) forming a natural hierarchy of increasing…

Methodology · Statistics 2025-12-23 Subhankar Bhadra , Minh Tang , Srijan Sengupta

Characterizing the community structure of complex networks is a key challenge in many scientific fields. Very diverse algorithms and methods have been proposed to this end, many working reasonably well in specific situations. However, no…

Physics and Society · Physics 2013-01-01 Rodrigo Aldecoa , Ignacio Marín

Community detection plays a central role in uncovering meso scale structures in networks. However, existing methods often suffer from disconnected or weakly connected clusters, undermining interpretability and robustness. Well-Connected…

Social and Information Networks · Computer Science 2025-09-04 Mohammad Dindoost , Oliver Alvarado Rodriguez , Bartosz Bryg , Minhyuk Park , George Chacko , Tandy Warnow , David A. Bader

We study the stochastic block model with two communities where vertices contain side information in the form of a vertex label. These vertex labels may have arbitrary label distributions, depending on the community memberships. We analyze a…

Machine Learning · Statistics 2019-05-24 Clara Stegehuis , Laurent Massoulié

In this paper, we provide a distributed frequency offset estimation algorithm based on a variant of belief propagation (BP). Each agent in the network pre-compensates its carrier frequency individually so that there is no frequency offset…

Information Theory · Computer Science 2018-02-13 Jian Du , Shaodan Ma
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