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Complex systems may contain heterogeneous types of variables that interact in a multi-level and multi-scale manner. In this context, high-level layers may considered as groups of variables interacting in lower-level layers. This is…

Quantitative Methods · Quantitative Biology 2018-11-28 Veronica Tozzo , Federico Tomasi , Margherita Squillario , Annalisa Barla

With the rapid development of digital platforms, users can now interact in endless ways from writing business reviews and comments to sharing information with their friends and followers. As a result, organizations have numerous digital…

Social and Information Networks · Computer Science 2023-05-19 Yiguang Zhang , Kristen Altenburger , Poppy Zhang , Tsutomu Okano , Shawndra Hill

The description of large temporal graphs requires effective methods giving an appropriate mesoscopic partition. Many approaches exist today to detect communities in static graphs. However, many networks are intrinsically dynamical, and need…

Social and Information Networks · Computer Science 2017-07-10 Matteo Morini , Patrick Flandrin , Eric Fleury , Tommaso Venturini , Pablo Jensen

The connectivity structure of graphs is typically related to the attributes of the nodes. In social networks for example, the probability of a friendship between two people depends on their attributes, such as their age, address, and…

Social and Information Networks · Computer Science 2020-02-06 Junning Deng , Bo Kang , Jefrey Lijffijt , Tijl De Bie

Multilayer networks have been widely used to represent and analyze systems of interconnected entities where both the entities and their connections can be of different types. However, real multilayer networks can be difficult to analyze…

Social and Information Networks · Computer Science 2020-05-01 Roberto Interdonato , Matteo Magnani , Diego Perna , Andrea Tagarelli , Davide Vega

One of the reasons behind the success of Social Network Analysis is its simple and general graph model made of nodes (representing individuals) and ties. However, when we focus on our daily on-line experience we must confront a more complex…

Social and Information Networks · Computer Science 2012-11-02 Matteo Magnani , Luca Rossi

The utilization of multi-layer network structures now enables the explanation of complex systems in nature from multiple perspectives. Multi-layer academic networks capture diverse relationships among academic entities, facilitating the…

Applications · Statistics 2023-08-23 Tianchen Gao , Yan Zhang , Rui Pan , Hansheng Wang

Finding hidden layers in complex networks is an important and a non-trivial problem in modern science. We explore the framework of quantum graphs to determine whether concealed parts of a multi-layer system exist and if so then what is…

Disordered Systems and Neural Networks · Physics 2021-10-04 Łukasz G. Gajewski , Julian Sienkiewicz , Janusz A. Hołyst

Data collected over networks can be modelled as noisy observations of an unknown function over the nodes of a graph or network structure, fully described by its nodes and their connections, the edges. In this context, function estimation…

Methodology · Statistics 2024-10-18 Dingjia Cao , Marina I. Knight , Guy P. Nason

Latent space models are frequently used for modeling single-layer networks and include many popular special cases, such as the stochastic block model and the random dot product graph. However, they are not well-developed for more complex…

Methodology · Statistics 2021-07-09 Peter W. MacDonald , Elizaveta Levina , Ji Zhu

The connections in many networks are not merely binary entities, either present or not, but have associated weights that record their strengths relative to one another. Recent studies of networks have, by and large, steered clear of such…

Statistical Mechanics · Physics 2009-11-10 M. E. J. Newman

Statistical network models are useful for understanding the underlying formation mechanism and characteristics of complex networks. However, statistical models for \textit{signed networks} have been largely unexplored. In signed networks,…

Methodology · Statistics 2023-09-04 Weijing Tang , Ji Zhu

This paper proposes a multilayer graph model for the community detection from multiple observations. This is a very frequent situation, when different estimators are applied to infer graph edges from signals at its nodes, or when different…

Neurons and Cognition · Quantitative Biology 2024-10-23 Tiziana Cattai , Gaetano Scarano , Marie-Constance Corsi , Fabrizio De Vico Fallani , Stefania Colonnese

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

From social networks to Internet applications, a wide variety of electronic communication tools are producing streams of graph data; where the nodes represent users and the edges represent the contacts between them over time. This has led…

Social and Information Networks · Computer Science 2014-03-18 Nesreen K. Ahmed , Christopher Cole , Jennifer Neville

Graph drawings are useful tools for exploring the structure and dynamics of data that can be represented by pair-wise relationships among a set of objects. Typical real-world social, biological or technological networks exhibit high…

Social and Information Networks · Computer Science 2018-07-05 Christian Schulz

Social communities extraction and their dynamics are one of the most important problems in today's social network analysis. During last few years, many researchers have proposed their own methods for group discovery in social networks.…

Social and Information Networks · Computer Science 2012-09-27 Piotr Bródka , Tomasz Filipowski , Przemysław Kazienko

Graph models provide efficient tools to capture the underlying structure of data defined over networks. Many real-world network topologies are subject to change over time. Learning to model the dynamic interactions between entities in such…

Machine Learning · Computer Science 2025-01-03 Amirhossein Javaheri , Jiaxi Ying , Daniel P. Palomar , Farokh Marvasti

Network analysis is currently used in a myriad of contexts: from identifying potential drug targets to predicting the spread of epidemics and designing vaccination strategies, and from finding friends to uncovering criminal activity.…

Data Analysis, Statistics and Probability · Physics 2010-04-28 R. Guimera , M. Sales-Pardo

Multilayer networks are in the focus of the current complex network study. In such networks multiple types of links may exist as well as many attributes for nodes. To fully use multilayer -- and other types of complex networks in…

Physics and Society · Physics 2023-05-23 Hannu Reittu , Lasse Leskelä , Tomi Räty