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We use a cluster ensemble to determine the number of clusters, k, in a group of data. A consensus similarity matrix is formed from the ensemble using multiple algorithms and several values for k. A random walk is induced on the graph…

Machine Learning · Statistics 2014-08-06 Shaina Race , Carl Meyer , Kevin Valakuzhy

Graph clustering is a fundamental task in unsupervised learning with broad real-world applications. While spectral clustering methods for undirected graphs are well-established and guided by a minimum cut optimization consensus, their…

Machine Learning · Statistics 2025-06-04 Ning Zhang , Xiaowen Dong , Mihai Cucuringu

We study the problem of graph partitioning, or clustering, in sparse networks with prior information about the clusters. Specifically, we assume that for a fraction $\rho$ of the nodes their true cluster assignments are known in advance.…

Physics and Society · Physics 2010-10-06 Armen E. Allahverdyan , Greg Ver Steeg , Aram Galstyan

Many methods have been developed for data clustering, such as k-means, expectation maximization and algorithms based on graph theory. In this latter case, graphs are generally constructed by taking into account the Euclidian distance as a…

Data Analysis, Statistics and Probability · Physics 2011-01-27 Francisco A. Rodrigues , Guilherme Ferraz de Arruda , Luciano da Fontoura Costa

Spectral clustering methodologies, when extended to accommodate signed graphs, have encountered notable limitations in effectively encapsulating inherent grouping relationships. Recent findings underscore a substantial deterioration in the…

Social and Information Networks · Computer Science 2025-01-15 Muhieddine Shebaro , Lucas Rusnak , Martin Burtscher , Jelena Tešić

As a fundamental structure in real-world networks, in addition to graph topology, communities can also be reflected by abundant node attributes. In attributed community detection, probabilistic generative models (PGMs) have become the…

Social and Information Networks · Computer Science 2022-05-31 Ren Ren , Jinliang Shao , Adrian N. Bishop , Wei Xing Zheng

Community detection is of great importance for understand-ing graph structure in social networks. The communities in real-world networks are often overlapped, i.e. some nodes may be a member of multiple clusters. How to uncover the…

Social and Information Networks · Computer Science 2015-01-09 Kuang Zhou , Arnaud Martin , Quan Pan

Graphs can model real-world, complex systems by representing entities and their interactions in terms of nodes and edges. To better exploit the graph structure, graph neural networks have been developed, which learn entity and edge…

Machine Learning · Computer Science 2022-06-06 Tong Liu , Yushan Liu , Marcel Hildebrandt , Mitchell Joblin , Hang Li , Volker Tresp

One of the most widely studied problem in mining and analysis of complex networks is the detection of community structures. The problem has been extensively studied by researchers due to its high utility and numerous applications in various…

Social and Information Networks · Computer Science 2016-07-29 Muhammad Qasim Pasta , Faraz Zaidi , Guy Melançon

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

Networks are a powerful tool to model complex systems, and the definition of many Graph Neural Networks (GNN), Deep Learning algorithms that can handle networks, has opened a new way to approach many real-world problems that would be hardly…

Machine Learning · Computer Science 2021-09-28 Marco Grassia , Manlio De Domenico , Giuseppe Mangioni

Graph Neural Networks (GNNs) are powerful tools for learning from graph-structured data, but their scalability is increasingly strained by the size of real-world graphs in domains like recommender systems, fraud detection, and molecular…

Machine Learning · Computer Science 2026-05-22 Mridul Gupta , Samyak Jain , Vansh Ramani , Hariprasad Kodamana , Sayan Ranu

Graph Convolutional Network (GCN) is an emerging technique for information retrieval (IR) applications. While GCN assumes the homophily property of a graph, real-world graphs are never perfect: the local structure of a node may contain…

Machine Learning · Computer Science 2021-06-08 Fuli Feng , Weiran Huang , Xiangnan He , Xin Xin , Qifan Wang , Tat-Seng Chua

Spectral clustering (SC) and graph-based semi-supervised learning (SSL) algorithms are sensitive to how graphs are constructed from data. In particular if the data has proximal and unbalanced clusters these algorithms can lead to poor…

Machine Learning · Statistics 2013-02-22 Jing Qian , Venkatesh Saligrama

Graph neural networks (GNNs) are the predominant approach for graph-based machine learning. While neural networks have shown great performance at learning useful representations, they are often criticized for their limited high-level…

Machine Learning · Computer Science 2024-07-09 Markus Zopf , Francesco Alesiani

Community detection in graphs is crucial for understanding the organization of nodes into densely connected clusters. While numerous strategies have been developed to identify these clusters, the success of community detection can lead to…

Social and Information Networks · Computer Science 2025-09-03 Junyuan Fang , Huimin Liu , Yueqi Peng , Jiajing Wu , Zibin Zheng , Chi K. Tse

Deep learning's performance has been extensively recognized recently. Graph neural networks (GNNs) are designed to deal with graph-structural data that classical deep learning does not easily manage. Since most GNNs were created using…

Machine Learning · Computer Science 2023-09-20 Zhiqian Chen , Fanglan Chen , Lei Zhang , Taoran Ji , Kaiqun Fu , Liang Zhao , Feng Chen , Lingfei Wu , Charu Aggarwal , Chang-Tien Lu

Image segmentation is a fundamental task in computer vision. Data annotation for training supervised methods can be labor-intensive, motivating unsupervised methods. Current approaches often rely on extracting deep features from pre-trained…

Computer Vision and Pattern Recognition · Computer Science 2023-08-22 Amit Aflalo , Shai Bagon , Tamar Kashti , Yonina Eldar

We define a general variant of the graph clustering problem where the criterion of density for the clusters is (high) connectivity. In {\sc Clustering to Given Connectivities}, we are given an $n$-vertex graph $G$, an integer $k$, and a…

Data Structures and Algorithms · Computer Science 2018-04-23 Petr A. Golovach , Dimitrios M. Thilikos

This paper investigates graph clustering in the planted cluster model in the presence of {\em small clusters}. Traditional results dictate that for an algorithm to provably correctly recover the clusters, {\em all} clusters must be…

Machine Learning · Computer Science 2013-02-21 Nir Ailon , Yudong Chen , Xu Huan