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Mixed membership community detection is a challenging problem. In this paper, to detect mixed memberships, we propose a new method Mixed-SLIM which is a spectral clustering method on the symmetrized Laplacian inverse matrix under the…

Machine Learning · Statistics 2024-04-08 Huan Qing , Jingli Wang

A wide range of complex systems can be modeled as networks with corresponding constraints on the edges and nodes, which have been extensively studied in recent years. Nowadays, with the progress of information technology, systems that…

Physics and Society · Physics 2016-05-24 Han Zhang , Chang-Dong Wang , Jian-Huang Lai , Philip S. Yu

We show that a simple community detection algorithm originated from stochastic blockmodel literature achieves consistency, and even optimality, for a broad and flexible class of sparse latent space models. The class of models includes…

Machine Learning · Statistics 2020-08-05 Fengnan Gao , Zongming Ma , Hongsong Yuan

Multi-view data clustering attracts more attention than their single view counterparts due to the fact that leveraging multiple independent and complementary information from multi-view feature spaces outperforms the single one. Multi-view…

Computer Vision and Pattern Recognition · Computer Science 2017-12-08 Yang Wang , Lin Wu

Our problem of interest is to cluster vertices of a graph by identifying underlying community structure. Among various vertex clustering approaches, spectral clustering is one of the most popular methods because it is easy to implement…

Machine Learning · Statistics 2020-09-23 Congyuan Yang , Carey E. Priebe , Youngser Park , David J. Marchette

We consider the problem of detecting communities or modules in networks, groups of vertices with a higher-than-average density of edges connecting them. Previous work indicates that a robust approach to this problem is the maximization of…

Data Analysis, Statistics and Probability · Physics 2007-05-23 M. E. J. Newman

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

Community discovery in the social network is one of the tremendously expanding areas which earn interest among researchers for the past one decade. There are many already existing algorithms. However, new seed-based algorithms establish an…

Social and Information Networks · Computer Science 2018-08-13 Belfin R , E. Grace Mary Kanaga , Piotr Bródka

Classical approaches in cluster analysis are typically based on a feature space analysis. However, many applications lead to datasets with additional spatial information and a ground truth with spatially coherent classes, which will not…

Numerical Analysis · Mathematics 2021-04-27 Pascal Fernsel

The methodology of community detection can be divided into two principles: imposing a network model on a given graph, or optimizing a designed objective function. The former provides guarantees on theoretical detectability but falls short…

Machine Learning · Statistics 2017-10-06 Pin-Yu Chen , Lingfei Wu

Understanding community structures is crucial for analyzing networks, as nodes join communities that collectively shape large-scale networks. In real-world settings, the formation of communities is often impacted by several social factors,…

Social and Information Networks · Computer Science 2025-04-16 Elze de Vink , Frank W. Takes , Akrati Saxena

In network analysis, developing a unified theoretical framework that can compare methods under different models is an interesting problem. This paper proposes a partial solution to this problem. We summarize the idea of using separation…

Machine Learning · Computer Science 2022-08-24 Huan Qing

Latent class models are widely used for identifying unobserved subgroups from multivariate categorical data in social sciences, with binary data as a particularly popular example. However, accurately recovering individual latent class…

Methodology · Statistics 2026-02-25 Zhongyuan Lyu , Yuqi Gu

Community detection is a powerful tool from complex networks analysis that finds applications in various research areas. Several image segmentation methods rely for instance on community detection algorithms as a black box in order to…

Computer Vision and Pattern Recognition · Computer Science 2023-08-29 Anthony Perez

Cooperative spectrum sensing is a robust strategy that enhances the detection probability of primary licensed users. However, a large number of detectors reporting to a fusion center for a final decision causes significant delay and also…

Information Theory · Computer Science 2015-05-28 Laila Hesham , Ahmed Sultan , Mohammed Nafie

In this article, we advance divide-and-conquer strategies for solving the community detection problem in networks. We propose two algorithms which perform clustering on a number of small subgraphs and finally patches the results into a…

Machine Learning · Statistics 2017-08-21 Soumendu Sundar Mukherjee , Purnamrita Sarkar , Peter J. Bickel

The stochastic block model is able to generate different network partitions, ranging from traditional assortative communities to disassortative structures. Since the degree-corrected stochastic block model does not specify which mixing…

Social and Information Networks · Computer Science 2019-09-16 Xiaoyan Lu , Boleslaw K. Szymanski

Many systems are naturally represented by a multilayer network in which edges exist in multiple layers that encode different, but potentially related, types of interactions, and it is important to understand limitations on the detectability…

Physics and Society · Physics 2016-06-08 Dane Taylor , Saray Shai , Natalie Stanley , Peter J. Mucha

Graph clustering and community detection are central problems in modern data mining. The increasing need for analyzing billion-scale data calls for faster and more scalable algorithms for these problems. There are certain trade-offs between…

Social and Information Networks · Computer Science 2021-08-05 Jessica Shi , Laxman Dhulipala , David Eisenstat , Jakub Łącki , Vahab Mirrokni

Subspace clustering is to find underlying low-dimensional subspaces and cluster the data points correctly. In this paper, we propose a novel multi-view subspace clustering method. Most existing methods suffer from two critical issues.…

Artificial Intelligence · Computer Science 2022-05-24 Mengyuan Zhang , Kai Liu