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We study the problem of community detection in multi-layer networks, where pairs of nodes can be related in multiple modalities. We introduce a general framework, i.e., mixture multi-layer stochastic block model (MMSBM), which includes many…

Social and Information Networks · Computer Science 2020-02-12 Bing-Yi Jing , Ting Li , Zhongyuan Lyu , Dong Xia

Many real-world networks exhibit correlations between the node degrees. For instance, in social networks nodes tend to connect to nodes of similar degree. Conversely, in biological and technological networks, high-degree nodes tend to be…

Discrete Mathematics · Computer Science 2015-09-30 Kevin E. Bassler , Charo I. Del Genio , Péter L. Erdős , István Miklós , Zoltán Toroczkai

The stochastic block model (SBM) is a mixture model used for the clustering of nodes in networks. It has now been employed for more than a decade to analyze very different types of networks in many scientific fields such as Biology and…

Methodology · Statistics 2014-05-12 E. Côme , P. Latouche

In this paper we propose weighted symmetric binary matrix factorization (wSBMF) framework to detect overlapping communities in bipartite networks, which describe relationships between two types of nodes. Our method improves performance by…

Social and Information Networks · Computer Science 2015-02-17 Zhong-Yuan Zhang , Yong-Yeol Ahn

An important question in statistical network analysis is how to estimate models of discrete and dependent network data with intractable likelihood functions, without sacrificing computational scalability and statistical guarantees. We…

Statistics Theory · Mathematics 2026-03-06 Jonathan R. Stewart , Michael Schweinberger

In network applications, it has become increasingly common to obtain datasets in the form of multiple networks observed on the same set of subjects, where each network is obtained in a related but different experiment condition or…

Statistics Theory · Mathematics 2022-05-23 Shuxiao Chen , Sifan Liu , Zongming Ma

In this work we address the problem of detecting overlapping communities in social networks. Because the word "community" is an ambiguous term, it is necessary to quantify what it means to be a community within the context of a particular…

Social and Information Networks · Computer Science 2015-01-23 Michael Brutz , Francois G. Meyer

Community detection is an important task in network analysis, in which we aim to learn a network partition that groups together vertices with similar community-level connectivity patterns. By finding such groups of vertices with similar…

Machine Learning · Statistics 2015-05-25 Christopher Aicher , Abigail Z. Jacobs , Aaron Clauset

Given a n points in two dimensional space, a Manhattan Network G is a network that connects all n points with either horizontal or vertical edges, with the property that for any two point in G should be connected by a Manhattan path and…

Computational Geometry · Computer Science 2024-03-19 Md. Musfiqur Rahman Sanim , Safrunnesa Saira , Fatin Faiaz Ahsan , Rajon Bardhan , S. M. Ferdous

Reducing dimension redundancy to find simplifying patterns in high-dimensional datasets and complex networks has become a major endeavor in many scientific fields. However, detecting the dimensionality of their latent space is challenging…

Physics and Society · Physics 2022-11-09 Pedro Almagro , Marian Boguna , M. Angeles Serrano

This study introduces an algorithm that generates undirected graphs with three main characteristics of real-world networks: scale-freeness, short distances between nodes (small-world phenomenon), and large clustering coefficients. The main…

Social and Information Networks · Computer Science 2025-02-27 João Pedro C. Morais , Ruben Interian

A new method for identifying communities in networks is proposed. Reference nodes, either selected using a priory information about the network or according to relevant node measurements, are obtained so as to indicate putative communities.…

Social and Information Networks · Computer Science 2019-11-06 Paulo J. P. de Souza , Cesar H. Comin , Luciano da F. Costa

Community detection is the task of discovering groups of nodes sharing similar patterns within a network. With recent advancements in deep learning, methods utilizing graph representation learning and deep clustering have shown great…

Social and Information Networks · Computer Science 2022-11-14 E. Dmitriev , M. W. Chekol , S. Wang

We introduce a new approach to constructing networks with realistic features. Our method, in spite of its conceptual simplicity (it has only two parameters) is capable of generating a wide variety of network types with prescribed…

Data Analysis, Statistics and Probability · Physics 2010-04-30 G. Palla , L. Lovasz , T. Vicsek

Many real-world networks describe systems in which interactions decay with the distance between nodes. Examples include systems constrained in real space such as transportation and communication networks, as well as systems constrained in…

Statistical Mechanics · Physics 2009-11-10 Shalev Itzkovitz , Uri Alon

Evolving multiplex networks are a powerful model for representing the dynamics along time of different phenomena, such as social networks, power grids, biological pathways. However, exploring the structure of the multiplex network time…

Physics and Society · Physics 2016-01-11 Giuseppe Jurman

The study of complex networks is a significant development in modern science, and has enriched the social sciences, biology, physics, and computer science. Models and algorithms for such networks are pervasive in our society, and impact…

Machine Learning · Computer Science 2022-06-08 C. Seshadhri , Aneesh Sharma , Andrew Stolman , Ashish Goel

Network analysis has played a key role in knowledge discovery and data mining. In many real-world applications in recent years, we are interested in mining multilayer networks, where we have a number of edge sets called layers, which encode…

Social and Information Networks · Computer Science 2022-11-08 Yasushi Kawase , Atsushi Miyauchi , Hanna Sumita

A relevant, sometimes overlooked, quality criterion for communities in graphs is that they should be well-connected in addition to being edge-dense. Prior work has shown that leading community detection methods can produce poorly-connected…

Social and Information Networks · Computer Science 2025-08-07 The-Anh Vu-Le , Minhyuk Park , Ian Chen , George Chacko , Tandy Warnow

Network complexity has been studied for over half a century and has found a wide range of applications. Many methods have been developed to characterize and estimate the complexity of networks. However, there has been little research with…

Machine Learning · Statistics 2021-01-13 Yann Issartel
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