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Programmable logic controller (PLC) based industrial control systems (ICS) are used to monitor and control critical infrastructure. Integration of communication networks and an Internet of Things approach in ICS has increased ICS…

Machine Learning · Computer Science 2023-02-07 Emmanuel Aboah Boateng , Bruce J. W

We give upper and lower bounds on the information-theoretic threshold for community detection in the stochastic block model. Specifically, let $k$ be the number of groups, $d$ be the average degree, the probability of edges between vertices…

Probability · Mathematics 2016-04-25 Jess Banks , Cristopher Moore

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

Subspace clustering (SC) is a promising clustering technology to identify clusters based on their associations with subspaces in high dimensional spaces. SC can be classified into hard subspace clustering (HSC) and soft subspace clustering…

Machine Learning · Computer Science 2016-04-11 Zhaohong Deng , Kup-Sze Choi , Yizhang Jiang , Jun Wang , Shitong Wang

Spectral clustering is one of the most popular clustering methods for finding clusters in a graph, which has found many applications in data mining. However, the input graph in those applications may have many missing edges due to error in…

Data Structures and Algorithms · Computer Science 2020-06-09 Pan Peng , Yuichi Yoshida

A novel approach rooted on the notion of consensus clustering, a strategy developed for community detection in complex networks, is proposed to cope with the heterogeneity that characterizes connectivity matrices in health and disease. The…

Neurons and Cognition · Quantitative Biology 2017-05-09 Javier Rasero , Mario Pellicoro , Leonardo Angelini , Jesus M. Cortes , Daniele Marinazzo , Sebastiano Stramaglia

Spectral clustering is a technique that clusters elements using the top few eigenvectors of their (possibly normalized) similarity matrix. The quality of spectral clustering is closely tied to the convergence properties of these principal…

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

Community detection involves grouping the nodes in the network and is one of the most-studied tasks in network science. Conventional methods usually require the specification of the number of communities $K$ in the network. This number is…

Methodology · Statistics 2025-09-30 Yuhua Zhang , Kori S. Zachrison , Renee Y. Hsia , Jukka-Pekka Onnela

Spectral clustering is a leading and popular technique in unsupervised data analysis. Two of its major limitations are scalability and generalization of the spectral embedding (i.e., out-of-sample-extension). In this paper we introduce a…

Machine Learning · Statistics 2024-11-06 Uri Shaham , Kelly Stanton , Henry Li , Boaz Nadler , Ronen Basri , Yuval Kluger

The problem of community detection receives great attention in recent years. Many methods have been proposed to discover communities in networks. In this paper, we propose a Gaussian stochastic blockmodel that uses Gaussian distributions to…

Social and Information Networks · Computer Science 2015-03-19 Junhao Zhang , Tongfei Chen , Junfeng Hu

The stochastic block model is one of the oldest and most ubiquitous models for studying clustering and community detection. In an exciting sequence of developments, motivated by deep but non-rigorous ideas from statistical physics, Decelle…

Data Structures and Algorithms · Computer Science 2016-03-23 Ankur Moitra , William Perry , Alexander S. Wein

A common and important problem arising in the study of networks is how to divide the vertices of a given network into one or more groups, called communities, in such a way that vertices of the same community are more interconnected than…

Social and Information Networks · Computer Science 2014-12-04 James D. Wilson , Simi Wang , Peter J. Mucha , Shankar Bhamidi , Andrew B. Nobel

A fundamental problem in network analysis is clustering the nodes into groups which share a similar connectivity pattern. Existing algorithms for community detection assume the knowledge of the number of clusters or estimate it a priori…

Methodology · Statistics 2018-03-30 Junxian Geng , Anirban Bhattacharya , Debdeep Pati

In this paper, we present and analyze a simple and robust spectral algorithm for the stochastic block model with $k$ blocks, for any $k$ fixed. Our algorithm works with graphs having constant edge density, under an optimal condition on the…

Data Structures and Algorithms · Computer Science 2015-06-25 Peter Chin , Anup Rao , Van Vu

The emerging 6G network envisions integrated sensing and communication (ISAC) as a promising solution to meet growing demand for native perception ability. To optimize and evaluate ISAC systems and techniques, it is crucial to have an…

Signal Processing · Electrical Eng. & Systems 2024-03-04 Zhengyu Zhang , Ruisi He , Bo Ai , Mi Yang , Yong Niu , Zhangdui Zhong , Yujian Li , Xuejian Zhang , Jing Li

Community structure is prevalent in real-world networks, with empirical studies revealing heterogeneous distributions where a few dominant majority communities coexist with many smaller groups. These small-scale groups, which we term…

Social and Information Networks · Computer Science 2026-04-21 Jiaze Li , Leto Peel

The bipartite network appears in various areas, such as biology, sociology, physiology, and computer science. \cite{rohe2016co} proposed Stochastic co-Blockmodel (ScBM) as a tool for detecting community structure of binary bipartite graph…

Machine Learning · Statistics 2023-05-31 Huan Qing , Jingli Wang

Subspace clustering (SC) is a popular method for dimensionality reduction of high-dimensional data, where it generalizes Principal Component Analysis (PCA). Recently, several methods have been proposed to enhance the robustness of PCA and…

Data Structures and Algorithms · Computer Science 2015-06-09 Sanghyuk Chun , Yung-Kyun Noh , Jinwoo Shin

In this paper we present an original approach for community detection in complex networks. The approach belongs to the family of seed-centric algorithms. However, instead of expanding communities around selected seeds as most of existing…

Social and Information Networks · Computer Science 2014-01-21 Rushed Kanawati

We propose a new algorithm to detect the community structure in a network that utilizes both the network structure and vertex attribute data. Suppose we have the network structure together with the vertex attribute data, that is, the…

Social and Information Networks · Computer Science 2016-11-23 Shun Kataoka , Takuto Kobayashi , Muneki Yasuda , Kazuyuki Tanaka
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