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A canonical problem in graph mining is the detection of dense communities. This problem is exacerbated for a graph with a large order and size -- the number of vertices and edges -- as many community detection algorithms scale poorly. In…

Social and Information Networks · Computer Science 2015-02-17 Heng Wang , Da Zheng , Randal Burns , Carey Priebe

Most current clustering based anomaly detection methods use scoring schema and thresholds to classify anomalies. These methods are often tailored to target specific data sets with "known" number of clusters. The paper provides a streaming…

Machine Learning · Statistics 2019-11-04 Sreelekha Guggilam , Syed M. A. Zaidi , Varun Chandola , Abani K. Patra

This paper is an extensive survey of literature on complex network communities and clustering. Complex networks describe a widespread variety of systems in nature and society especially systems composed by a large number of highly…

Social and Information Networks · Computer Science 2015-03-24 Biswajit Saha , Amitabha Mandal , Soumendu Bikas Tripathy , Debaprasad Mukherjee

Discovering communities in complex networks helps to understand the behaviour of the network. Some works in this promising research area exist, but communities uncovering in time-dependent and/or multiplex networks has not deeply…

Physics and Society · Physics 2016-04-05 Vincenza Carchiolo , Alessandro Longheu , Michele Malgeri , Giuseppe Mangioni

Clustering and community detection with multiple graphs have typically focused on aligned graphs, where there is a mapping between nodes across the graphs (e.g., multi-view, multi-layer, temporal graphs). However, there are numerous…

Social and Information Networks · Computer Science 2019-04-11 Guilherme Gomes , Vinayak Rao , Jennifer Neville

Community detection is a key aspect of network analysis, as it allows for the identification of groups and patterns within a network. With the ever-increasing size of networks, it is crucial to have fast algorithms to analyze them…

Social and Information Networks · Computer Science 2023-01-31 Subhajit Sahu

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

In this paper, we consider the streaming memory-limited matrix completion problem when the observed entries are noisy versions of a small random fraction of the original entries. We are interested in scenarios where the matrix size is very…

Spectral Theory · Mathematics 2015-04-14 Se-Young Yun , Marc Lelarge , Alexandre Proutiere

We derive rigorous bounds for well-defined community structure in complex networks for a stochastic block model (SBM) benchmark. In particular, we analyze the effect of inter-community "noise" (inter-community edges) on any "community…

Statistical Mechanics · Physics 2014-07-14 Richard K. Darst , David R. Reichman , Peter Ronhovde , Zohar Nussinov

Many groups with diverse convictions are interacting online. Interactions in online communities help people to engage each other and enhance understanding across groups. Online communities include multiple sub-communities whose members are…

Social and Information Networks · Computer Science 2014-09-01 Saeede Ajorlou , Issac Shams , Kai Yang

Many real-world applications pose challenges in incorporating fairness constraints into the $k$-center clustering problem, where the dataset consists of $m$ demographic groups, each with a specified upper bound on the number of centers to…

Data Structures and Algorithms · Computer Science 2026-01-19 Longkun Guo , Zeyu Lin , Chaoqi Jia , Chao Chen

It has been found that many networks display community structure -- groups of vertices within which connections are dense but between which they are sparser -- and highly sensitive computer algorithms have in recent years been developed for…

Statistical Mechanics · Physics 2009-11-10 M. E. J. Newman

Community detection, a fundamental task for network analysis, aims to partition a network into multiple sub-structures to help reveal their latent functions. Community detection has been extensively studied in and broadly applied to many…

Social and Information Networks · Computer Science 2021-08-17 Di Jin , Zhizhi Yu , Pengfei Jiao , Shirui Pan , Dongxiao He , Jia Wu , Philip S. Yu , Weixiong Zhang

Spectral clustering is one of the most popular methods for community detection in graphs. A key step in spectral clustering algorithms is the eigen decomposition of the $n{\times}n$ graph Laplacian matrix to extract its $k$ leading…

Machine Learning · Statistics 2018-09-10 Muni Sreenivas Pydi , Ambedkar Dukkipati

Community detection in multi-layer networks has emerged as a crucial area of modern network analysis. However, conventional approaches often assume that nodes belong exclusively to a single community, which fails to capture the complex…

Social and Information Networks · Computer Science 2024-09-13 Huan Qing

Community detection is a fundamental unsupervised learning problem for unlabeled networks which has a broad range of applications. Many community detection algorithms assume that the number of clusters $r$ is known apriori. In this paper,…

Machine Learning · Statistics 2018-03-20 Bowei Yan , Purnamrita Sarkar , Xiuyuan Cheng

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

Online social network platforms such as Twitter and Sina Weibo have been extremely popular over the past 20 years. Identifying the network community of a social platform is essential to exploring and understanding the users' interests.…

Social and Information Networks · Computer Science 2022-12-22 Jiayi Deng , Yi Ding , Yingqiu Zhu , Danyang Huang , Bingyi Jing , Bo Zhang

Dense sub-graphs of sparse graphs (communities), which appear in most real-world complex networks, play an important role in many contexts. Most existing community detection algorithms produce a hierarchical structure of community and seek…

Data Structures and Algorithms · Computer Science 2021-01-13 Pascal Pons , Matthieu Latapy

The task of community detection, which aims to partition a network into clusters of nodes to summarize its large-scale structure, has spawned the development of many competing algorithms with varying objectives. Some community detection…

Social and Information Networks · Computer Science 2023-11-09 Tiago P. Peixoto , Alec Kirkley