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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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