Mathematical Foundations Of Network Analysis

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Mathematical Foundations of Network Analysis

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Author : Paul Slepian
Publisher : Springer Science & Business Media
ISBN 13 : 364287424X
Total Pages : 205 pages
Book Rating : 4.6/5 (428 download)

Book Synopsis Mathematical Foundations of Network Analysis by : Paul Slepian

Download or read book Mathematical Foundations of Network Analysis written by Paul Slepian and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book we attempt to develop the fundamental results of resistive network analysis, based upon a sound mathematical structure. The axioms upon which our development is based are Ohm's Law, Kirchhoff's Voltage Law, and Kirchhoff's Current Law. In order to state these axioms precisely, and use them in the development of our network analysis, an elaborate mathematical structure is introduced, involving concepts of graph theory, linear algebra, and one dimensional algebraic topology. The graph theory and one dimensional algebraic topology used are developed from first principles; the reader needs no background in these subjects. However, we do assume that the reader has some familiarity with elementary linear algebra. It is now stylish to teach elementary linear algebra at the sophomore college level, and we feel that the require ment that the reader should be familiar with elementary linear algebra is no more demanding than the usual requirement in most electrical engineering texts that the reader should be familiar with calculus. In this book, however, no calculus is needed. Although no formal training in circuit theory is needed for an understanding of the book, such experience would certainly help the reader by presenting him with familiar examples relevant to the mathematical abstractions introduced. It is our intention in this book to exhibit the effect of the topological properties of the network upon the branch voltages and branch currents, the objects of interest in network analysis.

Network Analysis

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Author : Ulrik Brandes
Publisher : Springer Science & Business Media
ISBN 13 : 3540249796
Total Pages : 481 pages
Book Rating : 4.5/5 (42 download)

Book Synopsis Network Analysis by : Ulrik Brandes

Download or read book Network Analysis written by Ulrik Brandes and published by Springer Science & Business Media. This book was released on 2005-02-09 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: ‘Network’ is a heavily overloaded term, so that ‘network analysis’ means different things to different people. Specific forms of network analysis are used in the study of diverse structures such as the Internet, interlocking directorates, transportation systems, epidemic spreading, metabolic pathways, the Web graph, electrical circuits, project plans, and so on. There is, however, a broad methodological foundation which is quickly becoming a prerequisite for researchers and practitioners working with network models. From a computer science perspective, network analysis is applied graph theory. Unlike standard graph theory books, the content of this book is organized according to methods for specific levels of analysis (element, group, network) rather than abstract concepts like paths, matchings, or spanning subgraphs. Its topics therefore range from vertex centrality to graph clustering and the evolution of scale-free networks. In 15 coherent chapters, this monograph-like tutorial book introduces and surveys the concepts and methods that drive network analysis, and is thus the first book to do so from a methodological perspective independent of specific application areas.

Probabilistic Foundations of Statistical Network Analysis

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Author : Harry Crane
Publisher : CRC Press
ISBN 13 : 1351807323
Total Pages : 432 pages
Book Rating : 4.3/5 (518 download)

Book Synopsis Probabilistic Foundations of Statistical Network Analysis by : Harry Crane

Download or read book Probabilistic Foundations of Statistical Network Analysis written by Harry Crane and published by CRC Press. This book was released on 2018-04-17 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probabilistic Foundations of Statistical Network Analysis presents a fresh and insightful perspective on the fundamental tenets and major challenges of modern network analysis. Its lucid exposition provides necessary background for understanding the essential ideas behind exchangeable and dynamic network models, network sampling, and network statistics such as sparsity and power law, all of which play a central role in contemporary data science and machine learning applications. The book rewards readers with a clear and intuitive understanding of the subtle interplay between basic principles of statistical inference, empirical properties of network data, and technical concepts from probability theory. Its mathematically rigorous, yet non-technical, exposition makes the book accessible to professional data scientists, statisticians, and computer scientists as well as practitioners and researchers in substantive fields. Newcomers and non-quantitative researchers will find its conceptual approach invaluable for developing intuition about technical ideas from statistics and probability, while experts and graduate students will find the book a handy reference for a wide range of new topics, including edge exchangeability, relative exchangeability, graphon and graphex models, and graph-valued Levy process and rewiring models for dynamic networks. The author’s incisive commentary supplements these core concepts, challenging the reader to push beyond the current limitations of this emerging discipline. With an approachable exposition and more than 50 open research problems and exercises with solutions, this book is ideal for advanced undergraduate and graduate students interested in modern network analysis, data science, machine learning, and statistics. Harry Crane is Associate Professor and Co-Director of the Graduate Program in Statistics and Biostatistics and an Associate Member of the Graduate Faculty in Philosophy at Rutgers University. Professor Crane’s research interests cover a range of mathematical and applied topics in network science, probability theory, statistical inference, and mathematical logic. In addition to his technical work on edge and relational exchangeability, relative exchangeability, and graph-valued Markov processes, Prof. Crane’s methods have been applied to domain-specific cybersecurity and counterterrorism problems at the Foreign Policy Research Institute and RAND’s Project AIR FORCE.

A User’s Guide to Network Analysis in R

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Author : Douglas Luke
Publisher : Springer
ISBN 13 : 3319238833
Total Pages : 238 pages
Book Rating : 4.3/5 (192 download)

Book Synopsis A User’s Guide to Network Analysis in R by : Douglas Luke

Download or read book A User’s Guide to Network Analysis in R written by Douglas Luke and published by Springer. This book was released on 2015-12-14 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting a comprehensive resource for the mastery of network analysis in R, the goal of Network Analysis with R is to introduce modern network analysis techniques in R to social, physical, and health scientists. The mathematical foundations of network analysis are emphasized in an accessible way and readers are guided through the basic steps of network studies: network conceptualization, data collection and management, network description, visualization, and building and testing statistical models of networks. As with all of the books in the Use R! series, each chapter contains extensive R code and detailed visualizations of datasets. Appendices will describe the R network packages and the datasets used in the book. An R package developed specifically for the book, available to readers on GitHub, contains relevant code and real-world network datasets as well.

Mathematical Foundations of Computer Networking

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Author : Srinivasan Keshav
Publisher : Pearson Education
ISBN 13 : 0321792106
Total Pages : 496 pages
Book Rating : 4.3/5 (217 download)

Book Synopsis Mathematical Foundations of Computer Networking by : Srinivasan Keshav

Download or read book Mathematical Foundations of Computer Networking written by Srinivasan Keshav and published by Pearson Education. This book was released on 2012 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical techniques pervade current research in computer networking, yet are not taught to most computer science undergraduates. This self-contained, highly-accessible book bridges the gap, providing the mathematical grounding students and professionals need to successfully design or evaluate networking systems. The only book of its kind, it brings together information previously scattered amongst multiple texts. It first provides crucial background in basic mathematical tools, and then illuminates the specific theories that underlie computer networking. Coverage includes: * Basic probability * Statistics * Linear Algebra * Optimization * Signals, Systems, and Transforms, including Fourier series and transforms, Laplace transforms, DFT, FFT, and Z transforms * Queuing theory * Game Theory * Control theory * Information theory

Advances in Quantitative Ethnography

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Author : Andrew R. Ruis
Publisher : Springer Nature
ISBN 13 : 3030677885
Total Pages : 432 pages
Book Rating : 4.0/5 (36 download)

Book Synopsis Advances in Quantitative Ethnography by : Andrew R. Ruis

Download or read book Advances in Quantitative Ethnography written by Andrew R. Ruis and published by Springer Nature. This book was released on 2021-01-28 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Second International Conference on Quantitative Ethnography, ICQE 2020, held in February 2021. Due to the COVID-19 pandemic the conference has been postponed to 2021 and was held in online format. The 28 full papers were selected from 56 submissions. The contributions in this volume come from diverse fields and perspectives, and present the studies on advantages of using quantitative ethnography methods and techniques in a number of different domains and contexts, including ethnography and statistics, human interpretation and machine processing, etc.

Mathematical Foundations for Signal Processing, Communications, and Networking

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Author : Erchin Serpedin
Publisher : CRC Press
ISBN 13 : 1439855145
Total Pages : 852 pages
Book Rating : 4.4/5 (398 download)

Book Synopsis Mathematical Foundations for Signal Processing, Communications, and Networking by : Erchin Serpedin

Download or read book Mathematical Foundations for Signal Processing, Communications, and Networking written by Erchin Serpedin and published by CRC Press. This book was released on 2017-12-04 with total page 852 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Foundations for Signal Processing, Communications, and Networking describes mathematical concepts and results important in the design, analysis, and optimization of signal processing algorithms, modern communication systems, and networks. Helping readers master key techniques and comprehend the current research literature, the book offers a comprehensive overview of methods and applications from linear algebra, numerical analysis, statistics, probability, stochastic processes, and optimization. From basic transforms to Monte Carlo simulation to linear programming, the text covers a broad range of mathematical techniques essential to understanding the concepts and results in signal processing, telecommunications, and networking. Along with discussing mathematical theory, each self-contained chapter presents examples that illustrate the use of various mathematical concepts to solve different applications. Each chapter also includes a set of homework exercises and readings for additional study. This text helps readers understand fundamental and advanced results as well as recent research trends in the interrelated fields of signal processing, telecommunications, and networking. It provides all the necessary mathematical background to prepare students for more advanced courses and train specialists working in these areas.

Mathematical Analysis of Urban Spatial Networks

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Author : Philippe Blanchard
Publisher : Springer Science & Business Media
ISBN 13 : 3540878297
Total Pages : 192 pages
Book Rating : 4.5/5 (48 download)

Book Synopsis Mathematical Analysis of Urban Spatial Networks by : Philippe Blanchard

Download or read book Mathematical Analysis of Urban Spatial Networks written by Philippe Blanchard and published by Springer Science & Business Media. This book was released on 2008-10-23 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cities can be considered to be among the largest and most complex artificial networks created by human beings. Due to the numerous and diverse human-driven activities, urban network topology and dynamics can differ quite substantially from that of natural networks and so call for an alternative method of analysis. The intent of the present monograph is to lay down the theoretical foundations for studying the topology of compact urban patterns, using methods from spectral graph theory and statistical physics. These methods are demonstrated as tools to investigate the structure of a number of real cities with widely differing properties: medieval German cities, the webs of city canals in Amsterdam and Venice, and a modern urban structure such as found in Manhattan. Last but not least, the book concludes by providing a brief overview of possible applications that will eventually lead to a useful body of knowledge for architects, urban planners and civil engineers.

A User's Guide to Network Analysis in R

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Author : Douglas Luke
Publisher :
ISBN 13 : 9783319238845
Total Pages : pages
Book Rating : 4.2/5 (388 download)

Book Synopsis A User's Guide to Network Analysis in R by : Douglas Luke

Download or read book A User's Guide to Network Analysis in R written by Douglas Luke and published by . This book was released on 2015 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting a comprehensive resource for the mastery of network analysis in R, the goal of Network Analysis with R is to introduce modern network analysis techniques in R to social, physical, and health scientists. The mathematical foundations of network analysis are emphasized in an accessible way and readers are guided through the basic steps of network studies: network conceptualization, data collection and management, network description, visualization, and building and testing statistical models of networks. As with all of the books in the Use R! series, each chapter contains extensive R code and detailed visualizations of datasets. Appendices will describe the R network packages and the datasets used in the book. An R package developed specifically for the book, available to readers on GitHub, contains relevant code and real-world network datasets as well.

Advances in Network Analysis and its Applications

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Author : Evangelos Kranakis
Publisher : Springer Science & Business Media
ISBN 13 : 3642309038
Total Pages : 415 pages
Book Rating : 4.6/5 (423 download)

Book Synopsis Advances in Network Analysis and its Applications by : Evangelos Kranakis

Download or read book Advances in Network Analysis and its Applications written by Evangelos Kranakis and published by Springer Science & Business Media. This book was released on 2012-10-24 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: As well as highlighting potentially useful applications for network analysis, this volume identifies new targets for mathematical research that promise to provide insights into network systems theory as well as facilitating the cross-fertilization of ideas between sectors. Focusing on financial, security and social aspects of networking, the volume adds to the growing body of evidence showing that network analysis has applications to transportation, communication, health, finance, and social policy more broadly. It provides powerful models for understanding the behavior of complex systems that, in turn, will impact numerous cutting-edge sectors in science and engineering, such as wireless communication, network security, distributed computing and social networking, financial analysis, and cyber warfare. The volume offers an insider’s view of cutting-edge research in network systems, including methodologies with immense potential for interdisciplinary application. The contributors have all presented material at a series of workshops organized on behalf of Canada’s MITACS initiative, which funds projects and study grants in ‘mathematics for information technology and complex systems’. These proceedings include papers from workshops on financial networks, network security and cryptography, and social networks. MITACS has shown that the partly ghettoized nature of network systems research has led to duplicated work in discrete fields, and thus this initiative has the potential to save time and accelerate the pace of research in a number of areas of network systems research.

Topics at the Frontier of Statistics and Network Analysis

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Author : Eric D. Kolaczyk
Publisher : Cambridge University Press
ISBN 13 : 110830561X
Total Pages : 214 pages
Book Rating : 4.1/5 (83 download)

Book Synopsis Topics at the Frontier of Statistics and Network Analysis by : Eric D. Kolaczyk

Download or read book Topics at the Frontier of Statistics and Network Analysis written by Eric D. Kolaczyk and published by Cambridge University Press. This book was released on 2017-08-10 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: This snapshot of the current frontier of statistics and network analysis focuses on the foundational topics of modeling, sampling, and design. Primarily for graduate students and researchers in statistics and closely related fields, emphasis is not only on what has been done, but on what remains to be done.

Mathematical Foundations and Applications of Graph Entropy

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Author : Matthias Dehmer
Publisher : John Wiley & Sons
ISBN 13 : 3527339094
Total Pages : 298 pages
Book Rating : 4.5/5 (273 download)

Book Synopsis Mathematical Foundations and Applications of Graph Entropy by : Matthias Dehmer

Download or read book Mathematical Foundations and Applications of Graph Entropy written by Matthias Dehmer and published by John Wiley & Sons. This book was released on 2017-09-12 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This latest addition to the successful Network Biology series presents current methods for determining the entropy of networks, making it the first to cover the recently established Quantitative Graph Theory. An excellent international team of editors and contributors provides an up-to-date outlook for the field, covering a broad range of graph entropy-related concepts and methods. The topics range from analyzing mathematical properties of methods right up to applying them in real-life areas. Filling a gap in the contemporary literature this is an invaluable reference for a number of disciplines, including mathematicians, computer scientists, computational biologists, and structural chemists.

Fundamentals of Brain Network Analysis

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Author : Alex Fornito
Publisher : Academic Press
ISBN 13 : 0124081185
Total Pages : 494 pages
Book Rating : 4.1/5 (24 download)

Book Synopsis Fundamentals of Brain Network Analysis by : Alex Fornito

Download or read book Fundamentals of Brain Network Analysis written by Alex Fornito and published by Academic Press. This book was released on 2016-03-04 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamentals of Brain Network Analysis is a comprehensive and accessible introduction to methods for unraveling the extraordinary complexity of neuronal connectivity. From the perspective of graph theory and network science, this book introduces, motivates and explains techniques for modeling brain networks as graphs of nodes connected by edges, and covers a diverse array of measures for quantifying their topological and spatial organization. It builds intuition for key concepts and methods by illustrating how they can be practically applied in diverse areas of neuroscience, ranging from the analysis of synaptic networks in the nematode worm to the characterization of large-scale human brain networks constructed with magnetic resonance imaging. This text is ideally suited to neuroscientists wanting to develop expertise in the rapidly developing field of neural connectomics, and to physical and computational scientists wanting to understand how these quantitative methods can be used to understand brain organization. Extensively illustrated throughout by graphical representations of key mathematical concepts and their practical applications to analyses of nervous systems Comprehensively covers graph theoretical analyses of structural and functional brain networks, from microscopic to macroscopic scales, using examples based on a wide variety of experimental methods in neuroscience Designed to inform and empower scientists at all levels of experience, and from any specialist background, wanting to use modern methods of network science to understand the organization of the brain

Statistical Analysis of Network Data

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Author : Eric D. Kolaczyk
Publisher : Springer Science & Business Media
ISBN 13 : 0387881468
Total Pages : 397 pages
Book Rating : 4.3/5 (878 download)

Book Synopsis Statistical Analysis of Network Data by : Eric D. Kolaczyk

Download or read book Statistical Analysis of Network Data written by Eric D. Kolaczyk and published by Springer Science & Business Media. This book was released on 2009-04-20 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years there has been an explosion of network data – that is, measu- ments that are either of or from a system conceptualized as a network – from se- ingly all corners of science. The combination of an increasingly pervasive interest in scienti c analysis at a systems level and the ever-growing capabilities for hi- throughput data collection in various elds has fueled this trend. Researchers from biology and bioinformatics to physics, from computer science to the information sciences, and from economics to sociology are more and more engaged in the c- lection and statistical analysis of data from a network-centric perspective. Accordingly, the contributions to statistical methods and modeling in this area have come from a similarly broad spectrum of areas, often independently of each other. Many books already have been written addressing network data and network problems in speci c individual disciplines. However, there is at present no single book that provides a modern treatment of a core body of knowledge for statistical analysis of network data that cuts across the various disciplines and is organized rather according to a statistical taxonomy of tasks and techniques. This book seeks to ll that gap and, as such, it aims to contribute to a growing trend in recent years to facilitate the exchange of knowledge across the pre-existing boundaries between those disciplines that play a role in what is coming to be called ‘network science.

Social Network Analysis

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Author : Stanley Wasserman
Publisher : Cambridge University Press
ISBN 13 : 9780521387071
Total Pages : 852 pages
Book Rating : 4.3/5 (87 download)

Book Synopsis Social Network Analysis by : Stanley Wasserman

Download or read book Social Network Analysis written by Stanley Wasserman and published by Cambridge University Press. This book was released on 1994-11-25 with total page 852 pages. Available in PDF, EPUB and Kindle. Book excerpt: Social network analysis is used widely in the social and behavioral sciences, as well as in economics, marketing, and industrial engineering. The social network perspective focuses on relationships among social entities and is an important addition to standard social and behavioral research, which is primarily concerned with attributes of the social units. Social Network Analysis: Methods and Applications reviews and discusses methods for the analysis of social networks with a focus on applications of these methods to many substantive examples. It is a reference book that can be used by those who want a comprehensive review of network methods, or by researchers who have gathered network data and want to find the most appropriate method by which to analyze it. It is also intended for use as a textbook as it is the first book to provide comprehensive coverage of the methodology and applications of the field.

Foundations of Chemical Reaction Network Theory

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Author : Martin Feinberg
Publisher : Springer
ISBN 13 : 3030038580
Total Pages : 475 pages
Book Rating : 4.0/5 (3 download)

Book Synopsis Foundations of Chemical Reaction Network Theory by : Martin Feinberg

Download or read book Foundations of Chemical Reaction Network Theory written by Martin Feinberg and published by Springer. This book was released on 2019-01-31 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an authoritative introduction to the rapidly growing field of chemical reaction network theory. In particular, the book presents deep and surprising theorems that relate the graphical and algebraic structure of a reaction network to qualitative properties of the intricate system of nonlinear differential equations that the network induces. Over the course of three main parts, Feinberg provides a gradual transition from a tutorial on the basics of reaction network theory, to a survey of some of its principal theorems, and, finally, to a discussion of the theory’s more technical aspects. Written with great clarity, this book will be of value to mathematicians and to mathematically-inclined biologists, chemists, physicists, and engineers who want to contribute to chemical reaction network theory or make use of its powerful results.

Canadian Mathematical Bulletin

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Author :
Publisher :
ISBN 13 :
Total Pages : 144 pages
Book Rating : 4./5 ( download)

Book Synopsis Canadian Mathematical Bulletin by :

Download or read book Canadian Mathematical Bulletin written by and published by . This book was released on 1971 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: