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Many real-world networks, including nervous systems, exhibit meso-scale structure. This means that their elements can be grouped into meaningful sub-networks. In general, these sub-networks are unknown ahead of time and must be "discovered"…

Neurons and Cognition · Quantitative Biology 2020-11-16 Richard F. Betzel

Numerous networked systems feature a structure of nontrivial communities, which often correspond to their functional modules. Such communities have been detected in real-world biological, social and technological systems, as well as in…

Physics and Society · Physics 2025-07-08 Charo I. del Genio

Detecting community structure is fundamental to clarify the link between structure and function in complex networks and is used for practical applications in many disciplines. A successful method relies on the optimization of a quantity…

Physics and Society · Physics 2007-05-23 Santo Fortunato , Marc Barthelemy

We present a scalable nonparametric Bayesian method to perform network reconstruction from observed functional behavior that at the same time infers the communities present in the network. We show that the joint reconstruction with…

Physics and Society · Physics 2019-09-23 Tiago P. Peixoto

Random network models play a prominent role in modeling, analyzing and understanding complex phenomena on real-life networks. However, a key property of networks is often neglected: many real-world networks exhibit spatial structure, the…

Quantitative Methods · Quantitative Biology 2017-02-07 John Lang , Hans De Sterck , Jamieson L. Kaiser , Joel C. Miller

Real-world networks usually have community structure, that is, nodes are grouped into densely connected communities. Community detection is one of the most popular and best-studied research topics in network science and has attracted…

Social and Information Networks · Computer Science 2018-09-21 Yunpeng Zhao

Using an intuitive concept of what constitutes a meaningful community, a novel metric is formulated for detecting non-overlapping communities in undirected, weighted heterogeneous networks. This metric, modularity density, is shown to be…

Social and Information Networks · Computer Science 2019-08-23 Swathi M. Mula , Gerardo Veltri

We consider the problem of finding communities or modules in directed networks. The most common approach to this problem in the previous literature has been simply to ignore edge direction and apply methods developed for community discovery…

Data Analysis, Statistics and Probability · Physics 2008-03-22 E. A. Leicht , M. E. J. Newman

Motivated by multi-subject experiments in neuroimaging studies, we develop a modeling framework for joint community detection in a group of related networks, which can be considered as a sample from a population of networks. The proposed…

Applications · Statistics 2020-03-24 Subhadeep Paul , Yuguo Chen

We propose a method to investigate modular structure in networks based on fitted probabilistic model, where the connection probability between nodes is related to a set of introduced local attributes. The attributes, as parameters of the…

Physics and Society · Physics 2009-07-03 Xiaofeng Gong , C. -H. Lai

Predicting future interactions or novel links in networks is an indispensable tool across diverse domains, including genetic research, online social networks, and recommendation systems. Among the numerous techniques developed for link…

Social and Information Networks · Computer Science 2025-03-24 Maja Lindström , Christopher Blöcker , Tommy Löfstedt , Martin Rosvall

In this paper, we propose a realistic mathematical model taking into account the mutual interference among the interacting populations. This model attempts to describe the control (vaccination) function as a function of the number of…

Neural and Evolutionary Computing · Computer Science 2016-11-18 V. Sree Hari Rao , M. Naresh Kumar

Multiple-subject network data are fast emerging in recent years, where a separate connectivity matrix is measured over a common set of nodes for each individual subject, along with subject covariates information. In this article, we propose…

Methodology · Statistics 2021-03-23 Jingfei Zhang , Will Wei Sun , Lexin Li

Unknown node attributes in complex networks may introduce community structures that are important to distinguish from those driven by known attributes. We propose a block-corrected modularity that discounts given block structures present in…

Physics and Society · Physics 2025-08-04 Hasti Narimanzadeh , Takayuki Hiraoka , Mikko Kivelä

Real-world networks are often organized as modules or communities of similar nodes that serve as functional units. These networks are also rich in content, with nodes having distinguishing features or attributes. In order to discover a…

Social and Information Networks · Computer Science 2014-05-20 Laura M. Smith , Linhong Zhu , Kristina Lerman , Allon G. Percus

Networks with node covariates offer two advantages to community detection methods, namely, (i) exploit covariates to improve the quality of communities, and more importantly, (ii) explain the discovered communities by identifying the…

Social and Information Networks · Computer Science 2021-04-07 Shubham Gupta , Gururaj K. , Ambedkar Dukkipati , Rui M. Castro

In this paper a simple but efficient real-time detecting algorithm is proposed for tracking community structure of dynamic networks. Community structure is intuitively characterized as divisions of network nodes into subgroups, within which…

Social and Information Networks · Computer Science 2014-07-11 Jiaxing Shang , Lianchen Liu , Feng Xie , Zhen Chen , Jiajia Miao , Xuelin Fang , Cheng Wu

Graph convolution is a recent scalable method for performing deep feature learning on attributed graphs by aggregating local node information over multiple layers. Such layers only consider attribute information of node neighbors in the…

Machine Learning · Computer Science 2022-07-04 Tsuyoshi Murata , Naveed Afzal

A remarkable approach for grasping the relevant statistical features of real networks with the help of random graphs is offered by hyperbolic models, centred around the idea of placing nodes in a low-dimensional hyperbolic space, and…

Physics and Society · Physics 2021-09-17 Bianka Kovács , Gergely Palla

Complex systems are usually illustrated by networks which captures the topology of the interactions between the entities. To better understand the roles played by the entities in the system one needs to uncover the underlying community…

Social and Information Networks · Computer Science 2016-05-23 Han Zhang , Chang-Dong Wang , Jian-Huang Lai , Philip S. Yu
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