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Related papers: Community detection in sparse latent space models

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The community detection problem for graphs asks one to partition the n vertices V of a graph G into k communities, or clusters, such that there are many intracluster edges and few intercluster edges. Of course this is equivalent to finding…

Information Theory · Computer Science 2018-08-21 Ming-Jun Lai , Daniel Mckenzie

Semidefinite programming is an important tool to tackle several problems in data science and signal processing, including clustering and community detection. However, semidefinite programs are often slow in practice, so speed up techniques…

Optimization and Control · Mathematics 2022-05-11 Pedro Abdalla , Afonso S. Bandeira

Spectral clustering is one of the most popular, yet still incompletely understood, methods for community detection on graphs. This article studies spectral clustering based on the Bethe-Hessian matrix $H_r = (r^2-1)I_n + D-rA$ for sparse…

Social and Information Networks · Computer Science 2019-10-10 Lorenzo Dall'Amico , Romain Couillet , Nicolas Tremblay

The information-theoretic limits of community detection have been studied extensively for network models with high levels of symmetry or homogeneity. The contribution of this paper is to study a broader class of network models that allow…

Information Theory · Computer Science 2019-07-05 Galen Reeves , Vaishakhi Mayya , Alexander Volfovsky

Aiming at improving the efficiency and accuracy of community detection in complex networks, we proposed a new algorithm, which is based on the idea that communities could be detected from subnetworks by comparing the internal and external…

Physics and Society · Physics 2016-12-20 Jihui Han , Wei Li , Weibing Deng

Community detection is an important research topic in complex networks. We present the employment of a genetic algorithm to detect communities in complex networks which is based on optimizing network modularity. It does not need any prior…

Physics and Society · Physics 2007-11-06 Mursel Tasgin , Amac Herdagdelen , Haluk Bingol

We propose an efficient meta-algorithm for Bayesian estimation problems that is based on low-degree polynomials, semidefinite programming, and tensor decomposition. The algorithm is inspired by recent lower bound constructions for…

Data Structures and Algorithms · Computer Science 2017-10-04 Samuel B. Hopkins , David Steurer

Community detection algorithms are fundamental tools to understand organizational principles in social networks. With the increasing power of social media platforms, when detecting communities there are two possi- ble sources of information…

Social and Information Networks · Computer Science 2016-04-14 Yuan Li

Local community detection consists of finding a group of nodes closely related to the seeds, a small set of nodes of interest. Such group of nodes are densely connected or have a high probability of being connected internally than their…

Social and Information Networks · Computer Science 2020-05-11 Dany Kamuhanda , Meng Wang , Kun He

Many methods have been proposed to detect communities, not only in plain, but also in attributed, directed or even dynamic complex networks. In its simplest form, a community structure takes the form of a partition of the node set. From the…

Social and Information Networks · Computer Science 2014-10-22 Günce Keziban Orman , Vincent Labatut , Marc Plantevit , Jean-François Boulicaut

Community detection in networks is a key exploratory tool with applications in a diverse set of areas, ranging from finding communities in social and biological networks to identifying link farms in the World Wide Web. The problem of…

Machine Learning · Statistics 2017-09-05 Peter J. Bickel , Purnamrita Sarkar

Spectral clustering has been widely used for community detection in network sciences. While its empirical successes are well-documented, a clear theoretical understanding, particularly for sparse networks where degrees are much smaller than…

Statistics Theory · Mathematics 2024-05-13 Anderson Ye Zhang

Community detection algorithms attempt to find the best clusters of nodes in an arbitrary complex network. Multi-scale ("multiresolution") community detection extends the problem to identify the best network scale(s) for these clusters. The…

Physics and Society · Physics 2015-06-11 Peter Ronhovde , Zohar Nussinov

Multilayer and multiplex networks are becoming common network data sets in recent times. We consider the problem of identifying the common community structure for a special type of multilayer networks called multi-relational networks. We…

Social and Information Networks · Computer Science 2020-04-08 Sharmodeep Bhattacharyya , Shirshendu Chatterjee

Modern network datasets are often composed of multiple layers, either as different views, time-varying observations, or independent sample units, resulting in collections of networks over the same set of vertices but with potentially…

Statistics Theory · Mathematics 2025-06-05 Joshua Agterberg , Zachary Lubberts , Jesús Arroyo

We consider a community finding problem called Co-located Community Detection (CCD) over geo-social networks, which retrieves communities that satisfy both high structural tightness and spatial closeness constraints. To provide a solution…

Databases · Computer Science 2019-09-04 Xiuwen Zheng , Qiyu Liu , Amarnath Gupta

In this paper we prove the strong consistency of several methods based on the spectral clustering techniques that are widely used to study the community detection problem in stochastic block models (SBMs). We show that under some weak…

Methodology · Statistics 2019-05-16 Liangjun Su , Wuyi Wang , Yichong Zhang

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,…

Social and Information Networks · Computer Science 2017-08-29 Timothy La Fond , Geoffrey Sanders , Christine Klymko , Van Emden Henson

With rapid developments of information and technology, large scale network data are ubiquitous. In this work we develop a distributed spectral clustering algorithm for community detection in large scale networks. To handle the problem, we…

Methodology · Statistics 2021-06-01 Shihao Wu , Zhe Li , Xuening Zhu

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…

Statistics Theory · Mathematics 2026-01-07 Marios Papamichalis , Regina Ruane