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Multilayer Networks: Structure and Function

Ginestra Bianconi

Published in print:
2018
Published Online:
July 2018
ISBN:
9780198753919
eISBN:
9780191815676
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198753919.001.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Multilayer networks are formed by several networks that interact with each other and co-evolve. Multilayer networks include social networks, financial markets, transportation systems, infrastructures ... More


Multilayer Networks in Nature, Society and Infrastructures

Ginestra Bianconi

in Multilayer Networks: Structure and Function

Published in print:
2018
Published Online:
July 2018
ISBN:
9780198753919
eISBN:
9780191815676
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198753919.003.0004
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Chapter 4 opens Part III of the book, ‘Multilayer Networks’, which comprises chapters 4–15. The chapter starts with an informal definition of multiplex networks, multi-slice networks and networks of ... More


Complex Systems as Multilayer Networks

Ginestra Bianconi

in Multilayer Networks: Structure and Function

Published in print:
2018
Published Online:
July 2018
ISBN:
9780198753919
eISBN:
9780191815676
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198753919.003.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Chapter 1 constitutes Part I of the book: ‘Single and Multilayer Networks’. This chapter introduces multilayer networks as an important new development of Network Science that allows a more ... More


Error-correcting networks: perceptrons, the delta rule, backpropagation of error in multilayer networks, and reinforcement learning algorithms

Edmund T. Rolls and Alessandro Treves

in Neural Networks and Brain Function

Published in print:
1997
Published Online:
March 2012
ISBN:
9780198524328
eISBN:
9780191724466
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198524328.003.0005
Subject:
Neuroscience, Development

This chapter describes the so-called error-correcting neural networks that are capable of mapping a set of inputs to a set of required outputs using correction when errors are made. These networks do ... More


The Mathematical Definition

Ginestra Bianconi

in Multilayer Networks: Structure and Function

Published in print:
2018
Published Online:
July 2018
ISBN:
9780198753919
eISBN:
9780191815676
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198753919.003.0005
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter provides the mathematical definition of multilayer networks and it is of fundamental importance for the rest of the book. The mathematical definition of multilayer networks is given in ... More


Interdependent Multilayer Networks

Ginestra Bianconi

in Multilayer Networks: Structure and Function

Published in print:
2018
Published Online:
July 2018
ISBN:
9780198753919
eISBN:
9780191815676
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198753919.003.0011
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter characterizes interdependent multilayer networks and their increased fragility. Interdependent networks are stylized models that can represent different complex systems, ranging from ... More


Mathematics of networks

Mark Newman

in Networks

Published in print:
2018
Published Online:
October 2018
ISBN:
9780198805090
eISBN:
9780191843235
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198805090.003.0006
Subject:
Physics, Theoretical, Computational, and Statistical Physics

An introduction to the mathematical tools used in the study of networks. Topics discussed include: the adjacency matrix; weighted, directed, acyclic, and bipartite networks; multilayer and dynamic ... More


Networks

Stefan Thurner, Rudolf Hanel, and Peter Klimekl

in Introduction to the Theory of Complex Systems

Published in print:
2018
Published Online:
November 2018
ISBN:
9780198821939
eISBN:
9780191861062
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198821939.003.0004
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Understanding the interactions between the components of a system is key to understanding it. In complex systems, interactions are usually not uniform, not isotropic and not homogeneous: each ... More


Synchronization, Non-linear Dynamics and Control

Ginestra Bianconi

in Multilayer Networks: Structure and Function

Published in print:
2018
Published Online:
July 2018
ISBN:
9780198753919
eISBN:
9780191815676
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198753919.003.0015
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter is entirely devoted to characterizing non-linear dynamics on multilayer networks. Special attention is given to recent results on the stability of synchronization that extend the Master ... More


Ecological networks: From structure to dynamics

Sonia Kéfi

in Theoretical Ecology: concepts and applications

Published in print:
2020
Published Online:
July 2020
ISBN:
9780198824282
eISBN:
9780191863271
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198824282.003.0010
Subject:
Biology, Ecology, Biomathematics / Statistics and Data Analysis / Complexity Studies

Ecological systems are undeniably complex, including many species interacting in different ways with each other (e.g., predation, competition, facilitation, parasitism). One way of visualizing, ... More


Multilevel News Networks

Borut Sluban, Jasmina Smailović, Miha Grčar, and Igor Mozetič

in Multiplex and Multilevel Networks

Published in print:
2018
Published Online:
December 2018
ISBN:
9780198809456
eISBN:
9780191847073
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198809456.003.0007
Subject:
Physics, Theoretical, Computational, and Statistical Physics

The chapter “Multilevel News Networks” describes how to construct time-varying, multilayer networks linking entities from online news articles. It builds on preliminary research on extraction of ... More


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