Towards An Information Theory Of Complex Networks

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Towards an Information Theory of Complex Networks

Author : Matthias Dehmer,Frank Emmert-Streib,Alexander Mehler
Publisher : Springer Science & Business Media
Page : 409 pages
File Size : 55,8 Mb
Release : 2011-08-26
Category : Mathematics
ISBN : 9780817649043

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Towards an Information Theory of Complex Networks by Matthias Dehmer,Frank Emmert-Streib,Alexander Mehler Pdf

For over a decade, complex networks have steadily grown as an important tool across a broad array of academic disciplines, with applications ranging from physics to social media. A tightly organized collection of carefully-selected papers on the subject, Towards an Information Theory of Complex Networks: Statistical Methods and Applications presents theoretical and practical results about information-theoretic and statistical models of complex networks in the natural sciences and humanities. The book's major goal is to advocate and promote a combination of graph-theoretic, information-theoretic, and statistical methods as a way to better understand and characterize real-world networks. This volume is the first to present a self-contained, comprehensive overview of information-theoretic models of complex networks with an emphasis on applications. As such, it marks a first step toward establishing advanced statistical information theory as a unified theoretical basis of complex networks for all scientific disciplines and can serve as a valuable resource for a diverse audience of advanced students and professional scientists. While it is primarily intended as a reference for research, the book could also be a useful supplemental graduate text in courses related to information science, graph theory, machine learning, and computational biology, among others.

Complex Networks

Author : Eli Ben-Naim,Hans Frauenfelder,Zoltan Toroczkai
Publisher : Springer Science & Business Media
Page : 548 pages
File Size : 41,5 Mb
Release : 2004-09-01
Category : Science
ISBN : 3540223541

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Complex Networks by Eli Ben-Naim,Hans Frauenfelder,Zoltan Toroczkai Pdf

This volume is devoted to the applications of techniques from statistical physics to the characterization and modeling of complex networks. The first two parts of the book concern theory and modeling of networks, the last two parts survey applications to a wide variety of natural and artificial networks. The tutorial reviews that form this book are aimed at students and newcomers to the field, and will also constitute a modern and comprehensive reference for experts. To this aim, all contributions have been carefully peer-reviewed not only for scientific content but also for self-consistency and readability.

Symmetry Measures on Complex Networks

Author : Angel Garrido
Publisher : MDPI
Page : 509 pages
File Size : 54,6 Mb
Release : 2018-07-09
Category : Electronic book
ISBN : 9783038424987

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Symmetry Measures on Complex Networks by Angel Garrido Pdf

This book is a printed edition of the Special Issue "Symmetry Measures on Complex Networks" that was published in Symmetry

Structural Analysis of Complex Networks

Author : Matthias Dehmer
Publisher : Springer Science & Business Media
Page : 493 pages
File Size : 44,5 Mb
Release : 2010-10-14
Category : Mathematics
ISBN : 9780817647896

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Structural Analysis of Complex Networks by Matthias Dehmer Pdf

Filling a gap in literature, this self-contained book presents theoretical and application-oriented results that allow for a structural exploration of complex networks. The work focuses not only on classical graph-theoretic methods, but also demonstrates the usefulness of structural graph theory as a tool for solving interdisciplinary problems. Applications to biology, chemistry, linguistics, and data analysis are emphasized. The book is suitable for a broad, interdisciplinary readership of researchers, practitioners, and graduate students in discrete mathematics, statistics, computer science, machine learning, artificial intelligence, computational and systems biology, cognitive science, computational linguistics, and mathematical chemistry. It may also be used as a supplementary textbook in graduate-level seminars on structural graph analysis, complex networks, or network-based machine learning methods.

Introduction to Complex Network Theory

Author : Niloy Ganguly,Bivas Mitra,Animesh Mukherjee
Publisher : Birkhäuser
Page : 350 pages
File Size : 42,7 Mb
Release : 2016-01-06
Category : Mathematics
ISBN : 0817648577

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Introduction to Complex Network Theory by Niloy Ganguly,Bivas Mitra,Animesh Mukherjee Pdf

Complex network theory is rapidly becoming recognized as a crucial tool for analyzing various dynamics and phenomena of large-scale networks across a spectrum of diverse disciplines. This textbook is the first to provide a multidisciplinary examination of common problems in systems exhibiting a complex network structure and includes: thorough explanations given both conceptually and mathematically, illustrative examples and exercises included in each chapter, large-scale network visualization software and algorithms, and a comprehensive set of glossaries. The text is intended for use by senior undergraduate and graduate students who are new to the field of complex network theory but is also structured to provide straightforward access to topics of specific interest and may be used as a reference by researchers.

Information Theory and Statistical Learning

Author : Frank Emmert-Streib,Matthias Dehmer
Publisher : Springer Science & Business Media
Page : 443 pages
File Size : 51,9 Mb
Release : 2009
Category : Computers
ISBN : 9780387848150

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Information Theory and Statistical Learning by Frank Emmert-Streib,Matthias Dehmer Pdf

This interdisciplinary text offers theoretical and practical results of information theoretic methods used in statistical learning. It presents a comprehensive overview of the many different methods that have been developed in numerous contexts.

Towards a Theoretical Framework for Analyzing Complex Linguistic Networks

Author : Alexander Mehler,Andy Lücking,Sven Banisch,Philippe Blanchard,Barbara Job
Publisher : Springer
Page : 343 pages
File Size : 54,9 Mb
Release : 2015-07-07
Category : Technology & Engineering
ISBN : 9783662472385

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Towards a Theoretical Framework for Analyzing Complex Linguistic Networks by Alexander Mehler,Andy Lücking,Sven Banisch,Philippe Blanchard,Barbara Job Pdf

The aim of this book is to advocate and promote network models of linguistic systems that are both based on thorough mathematical models and substantiated in terms of linguistics. In this way, the book contributes first steps towards establishing a statistical network theory as a theoretical basis of linguistic network analysis the boarder of the natural sciences and the humanities. This book addresses researchers who want to get familiar with theoretical developments, computational models and their empirical evaluation in the field of complex linguistic networks. It is intended to all those who are interested in statistical models of linguistic systems from the point of view of network research. This includes all relevant areas of linguistics ranging from phonological, morphological and lexical networks on the one hand and syntactic, semantic and pragmatic networks on the other. In this sense, the volume concerns readers from many disciplines such as physics, linguistics, computer science and information science. It may also be of interest for the upcoming area of systems biology with which the chapters collected here share the view on systems from the point of view of network analysis.

Graph Theory and Complex Networks

Author : Maarten van Steen
Publisher : Maarten Van Steen
Page : 285 pages
File Size : 42,9 Mb
Release : 2010
Category : Graph theory
ISBN : 9081540610

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Graph Theory and Complex Networks by Maarten van Steen Pdf

This book aims to explain the basics of graph theory that are needed at an introductory level for students in computer or information sciences. To motivate students and to show that even these basic notions can be extremely useful, the book also aims to provide an introduction to the modern field of network science. Mathematics is often unnecessarily difficult for students, at times even intimidating. For this reason, explicit attention is paid in the first chapters to mathematical notations and proof techniques, emphasizing that the notations form the biggest obstacle, not the mathematical concepts themselves. This approach allows to gradually prepare students for using tools that are necessary to put graph theory to work: complex networks. In the second part of the book the student learns about random networks, small worlds, the structure of the Internet and the Web, peer-to-peer systems, and social networks. Again, everything is discussed at an elementary level, but such that in the end students indeed have the feeling that they: 1.Have learned how to read and understand the basic mathematics related to graph theory. 2.Understand how basic graph theory can be applied to optimization problems such as routing in communication networks. 3.Know a bit more about this sometimes mystical field of small worlds and random networks. There is an accompanying web site www.distributed-systems.net/gtcn from where supplementary material can be obtained, including exercises, Mathematica notebooks, data for analyzing graphs, and generators for various complex networks.

Complex Networks and Their Applications VIII

Author : Hocine Cherifi,Sabrina Gaito,José Fernendo Mendes,Esteban Moro,Luis Mateus Rocha
Publisher : Springer Nature
Page : 992 pages
File Size : 41,8 Mb
Release : 2019-11-25
Category : Technology & Engineering
ISBN : 9783030366872

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Complex Networks and Their Applications VIII by Hocine Cherifi,Sabrina Gaito,José Fernendo Mendes,Esteban Moro,Luis Mateus Rocha Pdf

This book highlights cutting-edge research in the field of network science, offering scientists, researchers, students, and practitioners a unique update on the latest advances in theory and a multitude of applications. It presents the peer-reviewed proceedings of the Eighth International Conference on Complex Networks and their Applications (COMPLEX NETWORKS 2019), which took place in Lisbon, Portugal, on December 10–12, 2019. The carefully selected papers cover a wide range of theoretical topics such as network models and measures; community structure, and network dynamics; diffusion, epidemics, and spreading processes; resilience and control as well as all the main network applications, including social and political networks; networks in finance and economics; biological and neuroscience networks; and technological networks.

Air Route Networks Through Complex Networks Theory

Author : Jose Sallan,Oriol Lordan
Publisher : Elsevier
Page : 252 pages
File Size : 47,9 Mb
Release : 2019-09-15
Category : Social Science
ISBN : 9780128126653

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Air Route Networks Through Complex Networks Theory by Jose Sallan,Oriol Lordan Pdf

Air Route Networks Through Complex Networks Theory connects theory research with network connectivity analysis, providing practitioners with the tools they need to develop more efficient, resilient and profitable air route networks. The book helps airline route planners and executives create more robust route networks that are less vulnerable to disruptions, such as node isolation. The book further explores errors and attacks in complex networks, strategies for detecting critical nodes and cascading failure models to assess and maximize robustness. The book explains how to measure air route network connectivity with complex network representations. Air transport is among the most dynamic and toughest competition industries in today's global economy. The quality of air route network design is a key strategic factor in an airline's viability. These robust networks provide for more stable and secure carrier operations vs. those based simply on existing supply and demand volumes. Node-specific and network-specific representations are covered, along with in-depth coverage of connectivity in special and temporal networks. These collective tools serve as a guide for practitioners seeking to apply complex network theory to the airline industry. Presents complex networks theory research results applied to airline transportation networks Examines airline network robustness in the face of disruptions, providing strategies for detecting critical nodes of air transport networks Provides historical perspective on the economic, political, technical, and geographical constraints that influence airline route portfolios Connects data from valuable tools, such as navpoints, area control centers (ACC), and flight information centers, with air network modeling Studies spreading-related phenomena, such as rumors, and disease contagions, and how these affect the airline industry

Big Data of Complex Networks

Author : Matthias Dehmer,Frank Emmert-Streib,Stefan Pickl,Andreas Holzinger
Publisher : CRC Press
Page : 290 pages
File Size : 44,9 Mb
Release : 2016-08-19
Category : Computers
ISBN : 9781315353593

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Big Data of Complex Networks by Matthias Dehmer,Frank Emmert-Streib,Stefan Pickl,Andreas Holzinger Pdf

Big Data of Complex Networks presents and explains the methods from the study of big data that can be used in analysing massive structural data sets, including both very large networks and sets of graphs. As well as applying statistical analysis techniques like sampling and bootstrapping in an interdisciplinary manner to produce novel techniques for analyzing massive amounts of data, this book also explores the possibilities offered by the special aspects such as computer memory in investigating large sets of complex networks. Intended for computer scientists, statisticians and mathematicians interested in the big data and networks, Big Data of Complex Networks is also a valuable tool for researchers in the fields of visualization, data analysis, computer vision and bioinformatics. Key features: Provides a complete discussion of both the hardware and software used to organize big data Describes a wide range of useful applications for managing big data and resultant data sets Maintains a firm focus on massive data and large networks Unveils innovative techniques to help readers handle big data Matthias Dehmer received his PhD in computer science from the Darmstadt University of Technology, Germany. Currently, he is Professor at UMIT – The Health and Life Sciences University, Austria, and the Universität der Bundeswehr München. His research interests are in graph theory, data science, complex networks, complexity, statistics and information theory. Frank Emmert-Streib received his PhD in theoretical physics from the University of Bremen, and is currently Associate professor at Tampere University of Technology, Finland. His research interests are in the field of computational biology, machine learning and network medicine. Stefan Pickl holds a PhD in mathematics from the Darmstadt University of Technology, and is currently a Professor at Bundeswehr Universität München. His research interests are in operations research, systems biology, graph theory and discrete optimization. Andreas Holzinger received his PhD in cognitive science from Graz University and his habilitation (second PhD) in computer science from Graz University of Technology. He is head of the Holzinger Group HCI-KDD at the Medical University Graz and Visiting Professor for Machine Learning in Health Informatics Vienna University of Technology.

Computation in Complex Networks

Author : Clara Pizzuti,Annalisa Socievole
Publisher : MDPI
Page : 352 pages
File Size : 51,9 Mb
Release : 2021-09-02
Category : Technology & Engineering
ISBN : 9783036506821

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Computation in Complex Networks by Clara Pizzuti,Annalisa Socievole Pdf

Complex networks are one of the most challenging research focuses of disciplines, including physics, mathematics, biology, medicine, engineering, and computer science, among others. The interest in complex networks is increasingly growing, due to their ability to model several daily life systems, such as technology networks, the Internet, and communication, chemical, neural, social, political and financial networks. The Special Issue “Computation in Complex Networks" of Entropy offers a multidisciplinary view on how some complex systems behave, providing a collection of original and high-quality papers within the research fields of: • Community detection • Complex network modelling • Complex network analysis • Node classification • Information spreading and control • Network robustness • Social networks • Network medicine

Large Scale Structure and Dynamics of Complex Networks

Author : Guido Caldarelli
Publisher : World Scientific
Page : 264 pages
File Size : 49,9 Mb
Release : 2007
Category : Computers
ISBN : 9789812771681

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Large Scale Structure and Dynamics of Complex Networks by Guido Caldarelli Pdf

This book is the culmination of three years of research effort on a multidisciplinary project in which physicists, mathematicians, computer scientists and social scientists worked together to arrive at a unifying picture of complex networks. The contributed chapters form a reference for the various problems in data analysis visualization and modeling of complex networks.

Handbook of Optimization in Complex Networks

Author : My T. Thai,Panos M. Pardalos
Publisher : Springer Science & Business Media
Page : 544 pages
File Size : 45,5 Mb
Release : 2011-11-25
Category : Mathematics
ISBN : 9781461408574

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Handbook of Optimization in Complex Networks by My T. Thai,Panos M. Pardalos Pdf

Complex Social Networks is a newly emerging (hot) topic with applications in a variety of domains, such as communication networks, engineering networks, social networks, and biological networks. In the last decade, there has been an explosive growth of research on complex real-world networks, a theme that is becoming pervasive in many disciplines, ranging from mathematics and computer science to the social and biological sciences. Optimization of complex communication networks requires a deep understanding of the interplay between the dynamics of the physical network and the information dynamics within the network. Although there are a few books addressing social networks or complex networks, none of them has specially focused on the optimization perspective of studying these networks. This book provides the basic theory of complex networks with several new mathematical approaches and optimization techniques to design and analyze dynamic complex networks. A wide range of applications and optimization problems derived from research areas such as cellular and molecular chemistry, operations research, brain physiology, epidemiology, and ecology.