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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

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

Graph comparison plays a major role in many network applications. We often need a similarity metric for comparing networks according to their structural properties. Various network features - such as degree distribution and clustering…

Social and Information Networks · Computer Science 2013-07-16 Sadegh Aliakbary , Sadegh Motallebi , Jafar Habibi , Ali Movaghar

A good deal of current research in complex networks involves the characterization and/or classification of the topological properties of given structures, which has motivated several respective measurements. This letter proposes a framework…

Physics and Society · Physics 2016-07-26 Cesar H. Comin , Filipi N. Silva , Luciano da F. Costa

The modern engineering landscape increasingly requires a range of skills to successfully integrate complex systems. Project-based learning is used to help students build professional skills. However, it is typically applied to small teams…

Computers and Society · Computer Science 2014-10-28 Robert Margolies , Maria Gorlatova , John Sarik , Peter Kinget , Ioannis Kymissis , Gil Zussman

Physical networks are made of nodes and links that are physical objects embedded in a geometric space. Understanding how the mutual volume exclusion between these elements affects the structure and function of physical networks calls for a…

Statistical Mechanics · Physics 2024-06-14 Gábor Pete , Ádám Timár , Sigurdur Örn Stefánsson , Ivan Bonamassa , Márton Pósfai

Complex systems often have features that can be modeled by advanced mathematical tools [1]. Of special interests are the features of complex systems that have a network structure as such systems are important for modeling technological and…

Classical Physics · Physics 2019-06-13 Nikolay K. Vitanov , Kaloyan N. Vitanov , Zlatinka I. Dimitrova

This work theoretically investigates the performance of a composite neural network. A composite neural network is a rooted directed acyclic graph combining a set of pre-trained and non-instantiated neural network models, where a pre-trained…

Machine Learning · Computer Science 2019-12-30 Ming-Chuan Yang , Meng Chang Chen

Over the last decade, an enormous interest and activity in complex networks have been witnessed within the physics community. On the other hand, diffusion and its theory, have equipped the toolbox of the physicist for decades. In this…

Statistical Mechanics · Physics 2010-05-04 Ingve Simonsen

The arrangements of particles and forces in granular materials have a complex organization on multiple spatial scales that ranges from local structures to mesoscale and system-wide ones. This multiscale organization can affect how a…

Soft Condensed Matter · Physics 2018-04-06 Lia Papadopoulos , Mason A. Porter , Karen E. Daniels , Danielle S. Bassett

We compute nodal centrality measures on the collaboration networks of students enrolled in three upper-division physics courses, usually taken sequentially, at the Colorado School of Mines. These are complex networks in which links between…

Concepts in a certain domain of science are linked via intrinsic connections reflecting the structure of knowledge. To get a qualitative insight and a quantitative description of this structure, we perform empirical analysis and modeling of…

Digital Libraries · Computer Science 2021-08-10 Vasyl Palchykov , Mariana Krasnytska , Olesya Mryglod , Yurij Holovatch

Network theory provides various tools for investigating the structural or functional topology of many complex systems found in nature, technology and society. Nevertheless, it has recently been realised that a considerable number of systems…

Data Analysis, Statistics and Probability · Physics 2012-03-23 Jonathan F. Donges , Hanna C. H. Schultz , Norbert Marwan , Yong Zou , Juergen Kurths

Complex functional brain network analyses have exploded over the last eight years, gaining traction due to their profound clinical implications. The application of network science (an interdisciplinary offshoot of graph theory) has…

Methodology · Statistics 2013-10-28 Sean L. Simpson , F. DuBois Bowman , Paul J. Laurienti

The statistical tools of Complex Network Analysis are of great use to understand salient properties of complex systems, may these be natural or pertaining human engineered infrastructures. One of these that is receiving growing attention…

Physics and Society · Physics 2015-03-19 Giuliano Andrea Pagani , Marco Aiello

Modular structure is pervasive in many complex networks of interactions observed in natural, social and technological sciences. Its study sheds light on the relation between the structure and function of complex systems. Generally speaking,…

Data Analysis, Statistics and Probability · Physics 2010-05-10 Alex Arenas , Javier Borge-Holthoefer , Sergio Gomez , Gorka Zamora-Lopez

Network theory has unveiled the underlying structure of complex systems such as the Internet or the biological networks in the cell. It has identified universal properties of complex networks, and the interplay between their structure and…

Physics and Society · Physics 2015-09-21 Ginestra Bianconi

This work investigates the framework and performance issues of the composite neural network, which is composed of a collection of pre-trained and non-instantiated neural network models connected as a rooted directed acyclic graph for…

Machine Learning · Computer Science 2021-07-20 Ming-Chuan Yang , Meng Chang Chen

In this paper, we interpret Deep Neural Networks with Complex Network Theory. Complex Network Theory (CNT) represents Deep Neural Networks (DNNs) as directed weighted graphs to study them as dynamical systems. We efficiently adapt CNT…

Machine Learning · Computer Science 2021-10-19 Emanuele La Malfa , Gabriele La Malfa , Giuseppe Nicosia , Vito Latora

In this paper we aim to demonstrate how physical perspective enriches usual statistical analysis when dealing with a complex system of many interacting agents of non-physical origin. To this end, we discuss analysis of urban public…

Physics and Society · Physics 2020-03-24 Yaryna Korduba , Yurij Holovatch , Robin de Regt
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