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We develop an algorithm to detect community structure in complex networks. The algorithm is based on spectral methods and takes into account weights and links orientations. Since the method detects efficiently clustered nodes in large…

Disordered Systems and Neural Networks · Physics 2009-11-10 Andrea Capocci , Vito D. P. Servedio , Guido Caldarelli , Francesca Colaiori

Many real-world applications can be modelled as complex networks, and such networks include the Internet, epidemic disease networks, transport networks, power grids, protein-folding structures and others. Network integrity and robustness…

Social and Information Networks · Computer Science 2020-03-11 Qian Li , San-Yang Liu , Xin-She Yang

Community structure is largely regarded as an intrinsic property of complex real-world networks. However, recent studies reveal that networks comprise even more sophisticated modules than classical cohesive communities. More precisely,…

Physics and Society · Physics 2011-10-13 Lovro Šubelj , Marko Bajec

Similarity is a fundamental measure in network analyses and machine learning algorithms, with wide applications ranging from personalized recommendation to socio-economic dynamics. We argue that an effective similarity measurement should…

Physics and Society · Physics 2015-12-07 Jian-Guo Liu , Lei Hou , Xue Pan , Qiang Guo , Tao Zhou

Based on signaling process on complex networks, a method for identification community structure is proposed. For a network with $n$ nodes, every node is assumed to be a system which can send, receive, and record signals. Each node is taken…

Physics and Society · Physics 2013-05-29 Yanqing Hu , Menghui Li , Peng Zhang , Ying Fan , Zengru Di

Label Propagation (LPA) and Graph Convolutional Neural Networks (GCN) are both message passing algorithms on graphs. Both solve the task of node classification but LPA propagates node label information across the edges of the graph, while…

Machine Learning · Computer Science 2020-02-18 Hongwei Wang , Jure Leskovec

A team of mobile agents, starting from distinct nodes of a network, have to meet at the same node and declare that they all met. Agents execute the same algorithm, which they start when activated by an adversary or by an agent entering…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-05 Stéphane Devismes , Yoann Dieudonné , Arnaud Labourel

A scalable semi-supervised node classification method on graph-structured data, called GraphHop, is proposed in this work. The graph contains attributes of all nodes but labels of a few nodes. The classical label propagation (LP) method and…

Machine Learning · Computer Science 2021-01-08 Tian Xie , Bin Wang , C. -C. Jay Kuo

In this paper, we present a new method for detecting overlapping communities in networks with a predefined number of clusters called LPAM (Link Partitioning Around Medoids). The overlapping communities in the graph are obtained by detecting…

Social and Information Networks · Computer Science 2021-04-27 Alexander Ponomarenko , Leonidas Pitsoulis , Marat Shamshetdinov

Modularity is designed to measure the strength of division of a network into clusters (known also as communities). Networks with high modularity have dense connections between the vertices within clusters but sparse connections between…

Probability · Mathematics 2017-07-18 Liudmila Ostroumova Prokhorenkova , Pawel Pralat , Andrei Raigorodskii

In this paper, for the first time, we study label propagation in heterogeneous graphs under heterophily assumption. Homophily label propagation (i.e., two connected nodes share similar labels) in homogeneous graph (with same types of…

Machine Learning · Computer Science 2017-01-24 Dingxiong Deng , Fan Bai , Yiqi Tang , Shuigeng Zhou , Cyrus Shahabi , Linhong Zhu

The rise of graph data in various fields calls for efficient and scalable community detection algorithms. In this paper, we present parallel implementations of two widely used algorithms: Label Propagation and Louvain, specifically designed…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-03 Fuhuan Li , Zhihui Du , David A. Bader

In this paper we present a novel strategy to discover the community structure of (possibly, large) networks. This approach is based on the well-know concept of network modularity optimization. To do so, our algorithm exploits a novel…

Social and Information Networks · Computer Science 2012-02-13 Pasquale De Meo , Emilio Ferrara , Giacomo Fiumara , Alessandro Provetti

Semi-supervised learning (SSL) assumes that neighbor points lie in the same category (neighbor assumption), and points in different clusters belong to various categories (cluster assumption). Existing methods usually rely on similarity…

Machine Learning · Statistics 2025-01-08 Shuyang Liu , Ruiqiu Zheng , Yunhang Shen , Ke Li , Xing Sun , Zhou Yu , Shaohui Lin

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

The probability Jaccard similarity was recently proposed as a natural generalization of the Jaccard similarity to measure the proximity of sets whose elements are associated with relative frequencies or probabilities. In combination with a…

Data Structures and Algorithms · Computer Science 2020-10-27 Otmar Ertl

We present a new method for identifying the latent categorization of items based on their rankings. Complimenting a recent work that uses a Dirichlet prior on preference vectors and variational inference, we show that this problem can be…

Machine Learning · Computer Science 2016-10-03 Josh Girson , Shuchin Aeron

Community detection remains an important problem in data mining, owing to the lack of scalable algorithms that exploit all aspects of available data - namely the directionality of flow of information and the dynamics thereof. Most existing…

Social and Information Networks · Computer Science 2018-05-15 Rajagopal Venkatesaramani , Yevgeniy Vorobeychik

In this article, we study spectral methods for community detection based on $ \alpha$-parametrized normalized modularity matrix hereafter called $ {\bf L}_\alpha $ in heterogeneous graph models. We show, in a regime where community…

Machine Learning · Statistics 2016-11-04 Hafiz Tiomoko Ali , Romain Couillet

Large-scale multi-layer networks with large numbers of nodes, edges, and layers arise across various domains, which poses a great computational challenge for the downstream analysis. In this paper, we develop an efficient randomized…

Computation · Statistics 2025-01-10 Wenqing Su , Xiao Guo , Xiangyu Chang , Ying Yang