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Community detection is the problem of identifying community structure in graphs. Often the graph is modeled as a sample from the Stochastic Block Model, in which each vertex belongs to a community. The probability that two vertices are…

Probability · Mathematics 2021-11-12 Souvik Dhara , Julia Gaudio , Elchanan Mossel , Colin Sandon

Structured data in the form of networks are increasingly common in a number of fields, including the social sciences, biology, physics, computer science, and many others. A key task in network analysis is community detection, which…

Methodology · Statistics 2025-11-25 Martina Amongero , Pierpaolo De Blasi

Node classification is an important problem in graph data management. It is commonly solved by various label propagation methods that work iteratively starting from a few labeled seed nodes. For graphs with arbitrary compatibilities between…

Machine Learning · Computer Science 2020-03-06 Krishna Kumar P. , Paul Langton , Wolfgang Gatterbauer

We introduce the Markov Stochastic Block Model (MSBM): a growth model for community based networks where node attributes are assigned through a Markovian dynamic. We rely on HMMs' literature to design prediction methods that are robust to…

Social and Information Networks · Computer Science 2023-01-09 Quentin Duchemin

Semidefinite programs have recently been developed for the problem of community detection, which may be viewed as a special case of the stochastic blockmodel. Here, we develop a semidefinite program that can be tailored to other instances…

Statistics Theory · Mathematics 2016-11-17 David Choi

Label propagation has proven to be an extremely fast method for detecting communities in large complex networks. Furthermore, due to its simplicity, it is also currently one of the most commonly adopted algorithms in the literature. Despite…

Physics and Society · Physics 2011-06-29 Lovro Šubelj , Marko Bajec

Image segmentation has many applications which range from machine learning to medical diagnosis. In this paper, we propose a framework for the segmentation of images based on super-pixels and algorithms for community identification in…

Computer Vision and Pattern Recognition · Computer Science 2016-12-13 Oscar A. C. Linares , Glenda Michele Botelho , Francisco Aparecido Rodrigues , João Batista Neto

Graph sparsification aims to reduce the number of edges of a network while maintaining its accuracy for given tasks. In this study, we propose a novel method called GSGAN, which is able to sparsify networks for community detection tasks.…

Social and Information Networks · Computer Science 2020-09-25 Hang-Yang Wu , Yi-Ling Chen

We consider the problem of estimating community memberships of nodes in a network, where every node is associated with a vector determining its degree of membership in each community. Existing provably consistent algorithms often require…

Machine Learning · Statistics 2019-11-26 Xueyu Mao , Purnamrita Sarkar , Deepayan Chakrabarti

This paper considers a new framework to detect communities in a graph from the observation of signals at its nodes. We model the observed signals as noisy outputs of an unknown network process, represented as a graph filter that is excited…

Social and Information Networks · Computer Science 2019-04-16 Hoi-To Wai , Santiago Segarra , Asuman E. Ozdaglar , Anna Scaglione , Ali Jadbabaie

Local clustering aims to identify specific substructures within a large graph without any additional structural information of the graph. These substructures are typically small compared to the overall graph, enabling the problem to be…

Machine Learning · Computer Science 2025-10-31 Zhaiming Shen , Sung Ha Kang

Multiplex networks have become increasingly more prevalent in many fields, and have emerged as a powerful tool for modeling the complexity of real networks. There is a critical need for developing inference models for multiplex networks…

Social and Information Networks · Computer Science 2023-02-14 Arash A. Amini , Marina S. Paez , Lizhen Lin

The study of networks has received increased attention recently not only from the social sciences and statistics but also from physicists, computer scientists and mathematicians. One of the principal problem in networks is community…

Machine Learning · Statistics 2014-01-27 Sharmodeep Bhattacharyya , Peter J. Bickel

This paper presents an approach to semi-supervised learning for the classification of data using the Lipschitz Learning on graphs. We develop a graph-based semi-supervised learning framework that leverages the properties of the infinity…

Machine Learning · Computer Science 2024-11-06 Farid Bozorgnia , Yassine Belkheiri , Abderrahim Elmoataz

In community detection, datasets often suffer a sampling bias for which nodes which would normally have a high affinity appear to have zero affinity. This happens for example when two affine users of a social network were not exposed to one…

Social and Information Networks · Computer Science 2023-02-03 Sameh Othman , Johannes Schulz , Marco Baity-Jesi , Caterina De Bacco

Graph Neural Networks (GNNs) have been predominant for graph learning tasks; however, recent studies showed that a well-known graph algorithm, Label Propagation (LP), combined with a shallow neural network can achieve comparable performance…

Machine Learning · Computer Science 2022-12-01 Zhiqiang Zhong , Sergey Ivanov , Jun Pang

This paper proposes a multilayer graph model for the community detection from multiple observations. This is a very frequent situation, when different estimators are applied to infer graph edges from signals at its nodes, or when different…

Neurons and Cognition · Quantitative Biology 2024-10-23 Tiziana Cattai , Gaetano Scarano , Marie-Constance Corsi , Fabrizio De Vico Fallani , Stefania Colonnese

Unsupervised node clustering (or community detection) is a classical graph learning task. In this paper, we study algorithms, which exploit the geometry of the graph to identify densely connected substructures, which form clusters or…

Social and Information Networks · Computer Science 2023-07-20 Yu Tian , Zachary Lubberts , Melanie Weber

Community search on bipartite graphs, especially influential community detection, has received significant attention. Existing studies use minimum vertex weights, inadequately reflecting true community influence when some vertices have low…

Social and Information Networks · Computer Science 2025-09-17 Yanxin Zhang , Zhengyu Hua , Long Yuan , Zi Chen

To capture the inherent geometric features of many community detection problems, we propose to use a new random graph model of communities that we call a Geometric Block Model. The geometric block model builds on the random geometric graphs…

Social and Information Networks · Computer Science 2023-11-21 Sainyam Galhotra , Arya Mazumdar , Soumyabrata Pal , Barna Saha
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