Handbook Of Large Scale Random Networks

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Handbook of Large-Scale Random Networks

Bela Bollobas,Robert Kozma,Dezso Miklos
Handbook of Large Scale Random Networks Book PDF

Author : Bela Bollobas,Robert Kozma,Dezso Miklos
Publisher : Springer Science & Business Media
Page : 600 pages
File Size : 53,8 Mb
Release : 2010-05-17
Category : Mathematics
ISBN : 9783540693956

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Handbook of Large-Scale Random Networks by Bela Bollobas,Robert Kozma,Dezso Miklos Pdf

With the advent of digital computers more than half a century ago, - searchers working in a wide range of scienti?c disciplines have obtained an extremely powerful tool to pursue deep understanding of natural processes in physical, chemical, and biological systems. Computers pose a great ch- lenge to mathematical sciences, as the range of phenomena available for rigorous mathematical analysis has been enormously expanded, demanding the development of a new generation of mathematical tools. There is an explosive growth of new mathematical disciplines to satisfy this demand, in particular related to discrete mathematics. However, it can be argued that at large mathematics is yet to provide the essential breakthrough to meet the challenge. The required paradigm shift in our view should be compa- ble to the shift in scienti?c thinking provided by the Newtonian revolution over 300 years ago. Studies of large-scale random graphs and networks are critical for the progress, using methods of discrete mathematics, probabil- tic combinatorics, graph theory, and statistical physics. Recent advances in large scale random network studies are described in this handbook, which provides a signi?cant update and extension - yond the materials presented in the “Handbook of Graphs and Networks” published in 2003 by Wiley. The present volume puts special emphasis on large-scale networks and random processes, which deemed as crucial for - tureprogressinthe?eld. Theissuesrelatedtorandomgraphsandnetworks pose very di?cult mathematical questions.

Handbook of Large Scale Random Networks

Béla Bollobás
Handbook of Large Scale Random Networks Book PDF

Author : Béla Bollobás
Publisher : Unknown
Page : 538 pages
File Size : 52,8 Mb
Release : 2009
Category : Combinatorial analysis
ISBN : 9639453102

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Handbook of Large Scale Random Networks by Béla Bollobás Pdf

This handbook describes advances in large scale network studies that have taken place in the past 5 years since the publication of the Handbook of Graphs and Networks in 2003. It covers all aspects of large-scale networks, including mathematical foundations and rigorous results of random graph theory, modeling and computational aspects of large-scale networks, as well as areas in physics, biology, neuroscience, sociology and technical areas. Applications range from microscopic to mesoscopic and macroscopic models.The book is based on the material of the NSF workshop on Large-scale Random Graphs held in Budapest in 2006, at the Alfréd Rényi Institute of Mathematics, organized jointly with the University of Memphis

Handbook of Large-Scale Random Networks

Bela Bollobas,Robert Kozma,Dezső Miklós
Handbook of Large Scale Random Networks Book PDF

Author : Bela Bollobas,Robert Kozma,Dezső Miklós
Publisher : Springer
Page : 600 pages
File Size : 47,7 Mb
Release : 2010-12-02
Category : Mathematics
ISBN : 3540865500

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Handbook of Large-Scale Random Networks by Bela Bollobas,Robert Kozma,Dezső Miklós Pdf

With the advent of digital computers more than half a century ago, - searchers working in a wide range of scienti?c disciplines have obtained an extremely powerful tool to pursue deep understanding of natural processes in physical, chemical, and biological systems. Computers pose a great ch- lenge to mathematical sciences, as the range of phenomena available for rigorous mathematical analysis has been enormously expanded, demanding the development of a new generation of mathematical tools. There is an explosive growth of new mathematical disciplines to satisfy this demand, in particular related to discrete mathematics. However, it can be argued that at large mathematics is yet to provide the essential breakthrough to meet the challenge. The required paradigm shift in our view should be compa- ble to the shift in scienti?c thinking provided by the Newtonian revolution over 300 years ago. Studies of large-scale random graphs and networks are critical for the progress, using methods of discrete mathematics, probabil- tic combinatorics, graph theory, and statistical physics. Recent advances in large scale random network studies are described in this handbook, which provides a signi?cant update and extension - yond the materials presented in the “Handbook of Graphs and Networks” published in 2003 by Wiley. The present volume puts special emphasis on large-scale networks and random processes, which deemed as crucial for - tureprogressinthe?eld. Theissuesrelatedtorandomgraphsandnetworks pose very di?cult mathematical questions.

Cognitive Phase Transitions in the Cerebral Cortex - Enhancing the Neuron Doctrine by Modeling Neural Fields

Robert Kozma,Walter J. Freeman
Cognitive Phase Transitions in the Cerebral Cortex Enhancing the Neuron Doctrine by Modeling Neural Fields Book PDF

Author : Robert Kozma,Walter J. Freeman
Publisher : Springer
Page : 262 pages
File Size : 51,5 Mb
Release : 2015-10-30
Category : Computers
ISBN : 9783319244068

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Cognitive Phase Transitions in the Cerebral Cortex - Enhancing the Neuron Doctrine by Modeling Neural Fields by Robert Kozma,Walter J. Freeman Pdf

This intriguing book was born out of the many discussions the authors had in the past 10 years about the role of scale-free structure and dynamics in producing intelligent behavior in brains. The microscopic dynamics of neural networks is well described by the prevailing paradigm based in a narrow interpretation of the neuron doctrine. This book broadens the doctrine by incorporating the dynamics of neural fields, as first revealed by modeling with differential equations (K-sets). The book broadens that approach by application of random graph theory (neuropercolation). The book concludes with diverse commentaries that exemplify the wide range of mathematical/conceptual approaches to neural fields. This book is intended for researchers, postdocs, and graduate students, who see the limitations of network theory and seek a beachhead from which to embark on mesoscopic and macroscopic neurodynamics.

Algorithms and Models for the Web Graph

David F. Gleich,Júlia Komjáthy,Nelly Litvak
Algorithms and Models for the Web Graph Book PDF

Author : David F. Gleich,Júlia Komjáthy,Nelly Litvak
Publisher : Springer
Page : 203 pages
File Size : 44,6 Mb
Release : 2015-12-08
Category : Computers
ISBN : 9783319267845

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Algorithms and Models for the Web Graph by David F. Gleich,Júlia Komjáthy,Nelly Litvak Pdf

This book constitutes the proceedings of the 12th International Workshop on Algorithms and Models for the Web Graph, WAW 2015, held in Eindhoven, The Netherlands, in December 2015. The 15 full papers presented in this volume were carefully reviewed and selected from 24 submissions. They are organized in topical sections named: properties of large graph models, dynamic processes on large graphs, and properties of PageRank on large graphs.

Erdös Centennial

László Lovász,Imre Ruzsa,Vera T. Sós
Erd s Centennial Book PDF

Author : László Lovász,Imre Ruzsa,Vera T. Sós
Publisher : Springer Science & Business Media
Page : 720 pages
File Size : 54,5 Mb
Release : 2014-01-24
Category : Mathematics
ISBN : 9783642392863

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Erdös Centennial by László Lovász,Imre Ruzsa,Vera T. Sós Pdf

Paul Erdös was one of the most influential mathematicians of the twentieth century, whose work in number theory, combinatorics, set theory, analysis, and other branches of mathematics has determined the development of large areas of these fields. In 1999, a conference was organized to survey his work, his contributions to mathematics, and the far-reaching impact of his work on many branches of mathematics. On the 100th anniversary of his birth, this volume undertakes the almost impossible task to describe the ways in which problems raised by him and topics initiated by him (indeed, whole branches of mathematics) continue to flourish. Written by outstanding researchers in these areas, these papers include extensive surveys of classical results as well as of new developments.

Network Models for Data Science

Alan Julian Izenman
Network Models for Data Science Book PDF

Author : Alan Julian Izenman
Publisher : Cambridge University Press
Page : 502 pages
File Size : 51,7 Mb
Release : 2023-01-05
Category : Mathematics
ISBN : 9781108889032

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Network Models for Data Science by Alan Julian Izenman Pdf

This text on the theory and applications of network science is aimed at beginning graduate students in statistics, data science, computer science, machine learning, and mathematics, as well as advanced students in business, computational biology, physics, social science, and engineering working with large, complex relational data sets. It provides an exciting array of analysis tools, including probability models, graph theory, and computational algorithms, exposing students to ways of thinking about types of data that are different from typical statistical data. Concepts are demonstrated in the context of real applications, such as relationships between financial institutions, between genes or proteins, between neurons in the brain, and between terrorist groups. Methods and models described in detail include random graph models, percolation processes, methods for sampling from huge networks, network partitioning, and community detection. In addition to static networks the book introduces dynamic networks such as epidemics, where time is an important component.

Handbook of Graphs and Networks

Stefan Bornholdt,Heinz Georg Schuster
Handbook of Graphs and Networks Book PDF

Author : Stefan Bornholdt,Heinz Georg Schuster
Publisher : John Wiley & Sons
Page : 417 pages
File Size : 46,5 Mb
Release : 2006-03-06
Category : Science
ISBN : 9783527606337

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Handbook of Graphs and Networks by Stefan Bornholdt,Heinz Georg Schuster Pdf

Complex interacting networks are observed in systems from such diverse areas as physics, biology, economics, ecology, and computer science. For example, economic or social interactions often organize themselves in complex network structures. Similar phenomena are observed in traffic flow and in communication networks as the internet. In current problems of the Biosciences, prominent examples are protein networks in the living cell, as well as molecular networks in the genome. On larger scales one finds networks of cells as in neural networks, up to the scale of organisms in ecological food webs. This book defines the field of complex interacting networks in its infancy and presents the dynamics of networks and their structure as a key concept across disciplines. The contributions present common underlying principles of network dynamics and their theoretical description and are of interest to specialists as well as to the non-specialized reader looking for an introduction to this new exciting field. Theoretical concepts include modeling networks as dynamical systems with numerical methods and new graph theoretical methods, but also focus on networks that change their topology as in morphogenesis and self-organization. The authors offer concepts to model network structures and dynamics, focussing on approaches applicable across disciplines.

Mathematics of Epidemics on Networks

István Z. Kiss,Joel C. Miller,Péter L. Simon
Mathematics of Epidemics on Networks Book PDF

Author : István Z. Kiss,Joel C. Miller,Péter L. Simon
Publisher : Springer
Page : 423 pages
File Size : 50,6 Mb
Release : 2017-06-08
Category : Mathematics
ISBN : 9783319508061

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Mathematics of Epidemics on Networks by István Z. Kiss,Joel C. Miller,Péter L. Simon Pdf

This textbook provides an exciting new addition to the area of network science featuring a stronger and more methodical link of models to their mathematical origin and explains how these relate to each other with special focus on epidemic spread on networks. The content of the book is at the interface of graph theory, stochastic processes and dynamical systems. The authors set out to make a significant contribution to closing the gap between model development and the supporting mathematics. This is done by: Summarising and presenting the state-of-the-art in modeling epidemics on networks with results and readily usable models signposted throughout the book; Presenting different mathematical approaches to formulate exact and solvable models; Identifying the concrete links between approximate models and their rigorous mathematical representation; Presenting a model hierarchy and clearly highlighting the links between model assumptions and model complexity; Providing a reference source for advanced undergraduate students, as well as doctoral students, postdoctoral researchers and academic experts who are engaged in modeling stochastic processes on networks; Providing software that can solve differential equation models or directly simulate epidemics on networks. Replete with numerous diagrams, examples, instructive exercises, and online access to simulation algorithms and readily usable code, this book will appeal to a wide spectrum of readers from different backgrounds and academic levels. Appropriate for students with or without a strong background in mathematics, this textbook can form the basis of an advanced undergraduate or graduate course in both mathematics and other departments alike.

Symmetry Measures on Complex Networks

Angel Garrido
Symmetry Measures on Complex Networks Book PDF

Author : Angel Garrido
Publisher : MDPI
Page : 509 pages
File Size : 54,5 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

Data Mining for Social Network Data

Nasrullah Memon,Jennifer Jie Xu,David L. Hicks,Hsinchun Chen
Data Mining for Social Network Data Book PDF

Author : Nasrullah Memon,Jennifer Jie Xu,David L. Hicks,Hsinchun Chen
Publisher : Springer Science & Business Media
Page : 216 pages
File Size : 44,5 Mb
Release : 2010-06-10
Category : Business & Economics
ISBN : 1441962875

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Data Mining for Social Network Data by Nasrullah Memon,Jennifer Jie Xu,David L. Hicks,Hsinchun Chen Pdf

Driven by counter-terrorism efforts, marketing analysis and an explosion in online social networking in recent years, data mining has moved to the forefront of information science. This proposed Special Issue on Data Mining for Social Network Data will present a broad range of recent studies in social networking analysis. It will focus on emerging trends and needs in discovery and analysis of communities, solitary and social activities, activities in open for a and commercial sites as well. It will also look at network modeling, infrastructure construction, dynamic growth and evolution pattern discovery using machine learning approaches and multi-agent based simulations. Editors are three rising stars in world of data mining, knowledge discovery, social network analysis, and information infrastructures, and are anchored by Springer author/editor Hsinchun Chen (Terrorism Informatics; Medical Informatics; Digital Government), who is one of the most prominent intelligence analysis and data mining experts in the world.

Princeton Companion to Applied Mathematics

Nicholas J. Higham,Mark R. Dennis,Paul Glendinning,Paul A. Martin,Fadil Santosa,Jared Tanner
Princeton Companion to Applied Mathematics Book PDF

Author : Nicholas J. Higham,Mark R. Dennis,Paul Glendinning,Paul A. Martin,Fadil Santosa,Jared Tanner
Publisher : Princeton University Press
Page : 1014 pages
File Size : 52,9 Mb
Release : 2015-09-09
Category : Mathematics
ISBN : 9780691150390

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Princeton Companion to Applied Mathematics by Nicholas J. Higham,Mark R. Dennis,Paul Glendinning,Paul A. Martin,Fadil Santosa,Jared Tanner Pdf

The must-have compendium on applied mathematics This is the most authoritative and accessible single-volume reference book on applied mathematics. Featuring numerous entries by leading experts and organized thematically, it introduces readers to applied mathematics and its uses; explains key concepts; describes important equations, laws, and functions; looks at exciting areas of research; covers modeling and simulation; explores areas of application; and more. Modeled on the popular Princeton Companion to Mathematics, this volume is an indispensable resource for undergraduate and graduate students, researchers, and practitioners in other disciplines seeking a user-friendly reference book on applied mathematics. Features nearly 200 entries organized thematically and written by an international team of distinguished contributors Presents the major ideas and branches of applied mathematics in a clear and accessible way Explains important mathematical concepts, methods, equations, and applications Introduces the language of applied mathematics and the goals of applied mathematical research Gives a wide range of examples of mathematical modeling Covers continuum mechanics, dynamical systems, numerical analysis, discrete and combinatorial mathematics, mathematical physics, and much more Explores the connections between applied mathematics and other disciplines Includes suggestions for further reading, cross-references, and a comprehensive index

Web-Age Information Management

Jianyong Wang,Hui Xiong,Yoshiharu Ishikawa,Jianliang Xu,Junfeng Zhou
Web Age Information Management Book PDF

Author : Jianyong Wang,Hui Xiong,Yoshiharu Ishikawa,Jianliang Xu,Junfeng Zhou
Publisher : Springer
Page : 812 pages
File Size : 50,5 Mb
Release : 2013-06-21
Category : Computers
ISBN : 9783642385629

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Web-Age Information Management by Jianyong Wang,Hui Xiong,Yoshiharu Ishikawa,Jianliang Xu,Junfeng Zhou Pdf

This book constitutes the refereed proceedings of the 14th International Conference on Web-Age Information Management, WAIM 2013, held in Beidaihe, China, in June 2013. The 47 revised full papers presented together with 29 short papers and 5 keynotes were carefully reviewed and selected from a total of 248 submissions. The papers are organized in topical sections on data mining; information integration and heterogeneous systems; big data; spatial and temporal databases; information extraction; new hardware and miscellaneous; query processing and optimization; social network and graphs; information retrieval; workflow systems and service computing; recommender systems; security, privacy, and trust; semantic Web and ontology.

Advances in Cognitive Neurodynamics (IV)

Hans Liljenström
Advances in Cognitive Neurodynamics IV Book PDF

Author : Hans Liljenström
Publisher : Springer
Page : 618 pages
File Size : 49,5 Mb
Release : 2015-01-14
Category : Medical
ISBN : 9789401795487

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Advances in Cognitive Neurodynamics (IV) by Hans Liljenström Pdf

This volume is the proceedings of the 4th International Conference on Cognitive Neurodynamics (ICCN2013) held in Sweden in 2013. The included papers reflect the large span of research presented and are grouped in ten parts that are organized essentially in a top-down structure. The first parts deal with social/interactive (I) and mental (II) aspects of brain functions and their relation to perception and cognition (III). Next, more specific aspects of sensory systems (IV) and neural network dynamics of brain functions (V), including the effects of oscillations, synchronization and synaptic plasticity (VI), are addressed, followed by papers particularly emphasizing the use of neural computation and information processing (VII). With the next two parts, the levels of cellular and intracellular processes (VIII) and finally quantum effects (IX) are reached. The last part (X) is devoted to the contributions invited by the Dynamic Brain Forum (DBF), which was co-organized with ICCN2013.

Information Quality in Information Fusion and Decision Making

Éloi Bossé,Galina L. Rogova
Information Quality in Information Fusion and Decision Making Book PDF

Author : Éloi Bossé,Galina L. Rogova
Publisher : Springer
Page : 620 pages
File Size : 45,5 Mb
Release : 2019-04-02
Category : Computers
ISBN : 9783030036430

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Information Quality in Information Fusion and Decision Making by Éloi Bossé,Galina L. Rogova Pdf

This book presents a contemporary view of the role of information quality in information fusion and decision making, and provides a formal foundation and the implementation strategies required for dealing with insufficient information quality in building fusion systems for decision making. Information fusion is the process of gathering, processing, and combining large amounts of information from multiple and diverse sources, including physical sensors to human intelligence reports and social media. That data and information may be unreliable, of low fidelity, insufficient resolution, contradictory, fake and/or redundant. Sources may provide unverified reports obtained from other sources resulting in correlations and biases. The success of the fusion processing depends on how well knowledge produced by the processing chain represents reality, which in turn depends on how adequate data are, how good and adequate are the models used, and how accurate, appropriate or applicable prior and contextual knowledge is. By offering contributions by leading experts, this book provides an unparalleled understanding of the problem of information quality in information fusion and decision-making for researchers and professionals in the field.