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Embedding dyadic data into a latent space has long been a popular approach to modeling networks of all kinds. While clustering has been done using this approach for static networks, this paper gives two methods of community detection within…

Methodology · Statistics 2020-05-19 Daniel K. Sewell , Yuguo Chen

Community detection is one of the fundamental problems of network analysis, for which a number of methods have been proposed. Most model-based or criteria-based methods have to solve an optimization problem over a discrete set of labels to…

Machine Learning · Statistics 2015-05-12 Can M. Le , Elizaveta Levina , Roman Vershynin

Real-world networks are often constructed from different sources or domains, including various types of entities and diverse relationships between networks, thus forming multi-domain networks. A single network typically fails to capture the…

Social and Information Networks · Computer Science 2024-12-17 Li Ni , Zhou Xie , Yiwen Zhang , Wenjian Luo , Victor S. Sheng

Information diffusion, spreading of infectious diseases, and spreading of rumors are fundamental processes occurring in real-life networks. In many practical cases, one can observe when nodes become infected, but the underlying network,…

Social and Information Networks · Computer Science 2022-03-31 Liudmila Prokhorenkova , Alexey Tikhonov , Nelly Litvak

Nowadays, there are many approaches designed for the task of detecting communities in social networks. Among them, some methods only consider the topological graph structure, while others take use of both the graph structure and the node…

Artificial Intelligence · Computer Science 2017-09-06 Salma Ben Dhaou , Kuang Zhou , Mouloud Kharoune , Arnaud Martin , Boutheina Ben Yaghlane

Community detection is a central problem in graph analysis, with applications ranging from network science to graph signal processing. In recent years, Graph Neural Networks (GNNs) have emerged as effective tools for learning…

Numerical Analysis · Mathematics 2026-05-20 Roberto Cavoretto , Alessandra De Rossi , Enrico Montini

The issue of network community detection has been extensively studied across many fields. Most community detection methods assume that nodes belong to only one community. However, in many cases, nodes can belong to multiple communities…

Social and Information Networks · Computer Science 2024-03-14 Do Duy Hieu , Phan Thi Ha Duong

When facing graph signal processing tasks, the workhorse assumption is that the graph describing the support of the signals is known. However, in many relevant applications the available graph suffers from observation errors and…

Signal Processing · Electrical Eng. & Systems 2024-12-03 Samuel Rey , Victor M. Tenorio , Antonio G. Marques

Community detection is a very active field in complex networks analysis, consisting in identifying groups of nodes more densely interconnected relatively to the rest of the network. The existing algorithms are usually tested and compared on…

Social and Information Networks · Computer Science 2012-08-16 Günce Orman , Vincent Labatut , Hocine Cherifi

Representing and exploiting multivariate signals requires capturing relations between variables, which we can represent by graphs. Graph dictionaries allow to describe complex relational information as a sparse sum of simpler structures,…

Machine Learning · Computer Science 2026-01-09 William Cappelletti , Pascal Frossard

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

We are interested in multilayer graph clustering, which aims at dividing the graph nodes into categories or communities. To do so, we propose to learn a clustering-friendly embedding of the graph nodes by solving an optimization problem…

Machine Learning · Computer Science 2021-03-31 Mireille El Gheche , Pascal Frossard

We consider that a network is an observation, and a collection of observed networks forms a sample. In this setting, we provide methods to test whether all observations in a network sample are drawn from a specified model. We achieve this…

Methodology · Statistics 2020-04-17 P-A. G. Maugis , Carey E. Priebe , S. C. Olhede , P. J. Wolfe

Many existing statistical and machine learning tools for social network analysis focus on a single level of analysis. Methods designed for clustering optimize a global partition of the graph, whereas projection based approaches (e.g. the…

Social networks facilitate the social space where actors or the users have ties among them. The ties and their patterns are based on their life styles and communication. Similarly, in online social media networks like Facebook, Twitter,…

Social and Information Networks · Computer Science 2019-04-11 Victor Stany Rozario , A. Z. M. Ehtesham Chowdhury , Muhammad Sarwar Jahan Morshed

Many complex networks display a mesoscopic structure with groups of nodes sharing many links with the other nodes in their group and comparatively few with nodes of different groups. This feature is known as community structure and encodes…

Physics and Society · Physics 2009-07-31 Andrea Lancichinetti , Santo Fortunato

In complex networks, especially social networks, networks could be divided into disjoint partitions that the ratio between the number of internal edges (the edges between the vertices within same partition) to the number of outer edges…

Social and Information Networks · Computer Science 2019-02-07 Hamid Shahrivari Joghan , Alireza Bagheri , Meysam Azad

With the emergence of dynamic multiplex networks, corresponding to graphs where multiple types of edges evolve over time, a key inferential task is to determine whether the layers associated with different edge types differ in their…

Methodology · Statistics 2025-12-04 Maximilian Baum , Francesco Sanna Passino , Axel Gandy

We present a new algorithm for community detection. The algorithm uses random walks to embed the graph in a space of measures, after which a modification of $k$-means in that space is applied. The algorithm is therefore fast and easily…

Machine Learning · Computer Science 2016-05-11 Mark Kozdoba , Shie Mannor

Signature-based botnet detection methods identify botnets by recognizing Command and Control (C\&C) traffic and can be ineffective for botnets that use new and sophisticate mechanisms for such communications. To address these limitations,…

Social and Information Networks · Computer Science 2015-03-10 Jing Wang , Ioannis Ch. Paschalidis