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Network systems consist of subsystems and their interconnections, and provide a powerful framework for analysis, modeling and control of complex systems. However, subsystems may have high-dimensional dynamics, and the amount and nature of…

Optimization and Control · Mathematics 2020-12-07 Xiaodong Cheng , Jacquelien M. A. Scherpen

Multilayer networks allow for modeling complex relationships, where individuals are embedded in multiple social networks at the same time. Given the ubiquity of such relationships, these networks have been increasingly gaining attention in…

Social and Information Networks · Computer Science 2019-11-15 Marcin Waniek , Tomasz P. Michalak , Talal Rahwan

Recent advances in network science, applied to \textit{in vivo} brain recordings, have paved the way for better understanding of the structure and function of the brain. However, despite its obvious usefulness in neuroscience, traditional…

Neurons and Cognition · Quantitative Biology 2025-02-03 Vesna Vuksanovic

Multiplex networks are collections of networks with identical nodes but distinct layers of edges. They are genuine representations for a large variety of real systems whose elements interact in multiple fashions or flavors. However,…

Physics and Society · Physics 2024-02-27 Daniel Kaiser , Siddharth Patwardhan , Minsuk Kim , Filippo Radicchi

Large-scale network systems describe a wide class of complex dynamical systems composed of many interacting subsystems. A large number of subsystems and their high-dimensional dynamics often result in highly complex topology and dynamics,…

Optimization and Control · Mathematics 2021-02-02 Xiaodong Cheng , Jacquelien M. A. Scherpen , Harry L. Trentelman

The world of network science is fascinating and filled with complex phenomena that we aspire to understand. One of them is the dynamics of spreading processes over complex networked structures. Building the knowledge-base in the field where…

Social and Information Networks · Computer Science 2020-01-16 Piotr Bródka , Katarzyna Musial , Jarosław Jankowski

Some networked systems can be better modelled by multilayer structure where the individual nodes develop relationships in multiple layers. Multilayer networks with similar nodes across layers are also known as multiplex networks. This…

Social and Information Networks · Computer Science 2020-01-08 Shaghayegh Najari , Mostafa Salehi , Vahid Ranjbar , Mahdi Jalili

The article presents several approaches to the blockmodeling of multilevel network data. Multilevel network data consist of networks that are measured on at least two levels (e.g. between organizations and people) and information on ties…

Methodology · Statistics 2014-05-26 Aleš Žiberna

The non-trivial structure of such complex systems makes the analysis of their collective behavior a challenge. The problem is even more difficult when the information is distributed across networks (e.g., communication networks in different…

Social and Information Networks · Computer Science 2018-02-08 Carlo Spatocco , Giovanni Stilo , Carlotta Domeniconi , Alessandro D'Andrea

The interactions among the elementary components of many complex systems can be qualitatively different. Such systems are therefore naturally described in terms of multiplex or multi-layer networks, i.e. networks where each layer stands for…

Physics and Society · Physics 2015-09-15 Vincenzo Nicosia , Vito Latora

Representing various networked data as multiplex networks, networks of networks and other multilayer networks can reveal completely new types of structures in these system. We introduce a general and principled graphlet framework for…

Physics and Society · Physics 2022-04-22 Sallamari Sallmen , Tarmo Nurmi , Mikko Kivelä

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

We study properties of multi-layered, interconnected networks from an ensemble perspective, i.e. we analyze ensembles of multi-layer networks that share similar aggregate characteristics. Using a diffusive process that evolves on a…

Physics and Society · Physics 2017-01-24 Nicolas Wider , Antonios Garas , Ingo Scholtes , Frank Schweitzer

This article discusses how concepts and methods of complex networks can be applied to real-time imaging and computer vision. After a brief introduction of complex networks basic concepts, their use as means to represent and characterize…

Computer Vision and Pattern Recognition · Computer Science 2007-05-23 Luciano da Fontoura Costa

We extend the concept of graph isomorphisms to multilayer networks with any number of "aspects" (i.e., types of layering). In developing this generalization, we identify multiple types of isomorphisms. For example, in multilayer networks…

Physics and Society · Physics 2017-02-17 Mikko Kivelä , Mason A. Porter

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

What do societies, the Internet, and the human brain have in common? They are all examples of complex relational systems, whose emerging behaviours are largely determined by the non-trivial networks of interactions among their constituents,…

Physics and Society · Physics 2017-04-18 Federico Battiston , Vincenzo Nicosia , Vito Latora

This document will review the most prominent proposals using multilayer convolutional architectures. Importantly, the various components of a typical convolutional network will be discussed through a review of different approaches that base…

Computer Vision and Pattern Recognition · Computer Science 2018-03-26 Isma Hadji , Richard P. Wildes

Complex networks have acquired a great popularity in recent years, since the graph representation of many natural, social and technological systems is often very helpful to characterize and model their phenomenology. Additionally, the…

Physics and Society · Physics 2009-02-06 Filippo Radicchi , Alain Barrat , Santo Fortunato , Jose J. Ramasco

The increasing power of computer technology does not dispense with the need to extract meaningful in- formation out of data sets of ever growing size, and indeed typically exacerbates the complexity of this task. To tackle this general…

Physics and Society · Physics 2016-06-22 M. Zanin , D. Papo , P. A. Sousa , E. Menasalvas , A. Nicchi , E. Kubik , S. Boccaletti