Analytic Information Theory
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Analytic Information Theory
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Author : Michael Drmota
language : en
Publisher:
Release Date : 2023
Analytic Information Theory written by Michael Drmota and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023 with Algorithms categories.
Through information theory, problems of communication and compression can be precisely modeled, formulated, and analyzed, and this information can be transformed by means of algorithms. Also, learning can be viewed as compression with side information. Aimed at students and researchers, this book addresses data compression and redundancy within existing methods and central topics in theoretical data compression, demonstrating how to use tools from analytic combinatorics to discover and analyze precise behavior of source codes. It shows that to present better learnable or extractable information in its shortest description, one must understand what the information is, and then algorithmically extract it in its most compact form via an efficient compression algorithm. Part I covers fixed-to-variable codes such as Shannon and Huffman codes, variable-to-fixed codes such as Tunstall and Khodak codes, and variable-to-variable Khodak codes for known sources. Part II discusses universal source coding for memoryless, Markov, and renewal sources.
Analytic Information Theory
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Author : Michael Drmota
language : en
Publisher: Cambridge University Press
Release Date : 2023-09-07
Analytic Information Theory written by Michael Drmota and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-07 with Computers categories.
Aimed at graduate students and researchers interested in information theory and the analysis of algorithms, this book explores problems of information and learning theory, demonstrating how to use tools from analytic combinatorics to discover and analyze precise behavior of source codes.
Big Data And Information Theory
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Author : Jiuping Xu
language : en
Publisher: Routledge
Release Date : 2022-06-02
Big Data And Information Theory written by Jiuping Xu and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-02 with Business & Economics categories.
Big Data and Information Theory are a binding force between various areas of knowledge that allow for societal advancement. Rapid development of data analytic and information theory allows companies to store vast amounts of information about production, inventory, service, and consumer activities. More powerful CPUs and cloud computing make it possible to do complex optimization instead of using heuristic algorithms, as well as instant rather than offline decision-making. The era of "big data" challenges includes analysis, capture, curation, search, sharing, storage, transfer, visualization, and privacy violations. Big data calls for better integration of optimization, statistics, and data mining. In response to these challenges this book brings together leading researchers and engineers to exchange and share their experiences and research results about big data and information theory applications in various areas. This book covers a broad range of topics including statistics, data mining, data warehouse implementation, engineering management in large-scale infrastructure systems, data-driven sustainable supply chain network, information technology service offshoring project issues, online rumors governance, preliminary cost estimation, and information system project selection. The chapters in this book were originally published in the journal, International Journal of Management Science and Engineering Management.
Stochastic Models Information Theory And Lie Groups Volume 2
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Author : Gregory S. Chirikjian
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-11-15
Stochastic Models Information Theory And Lie Groups Volume 2 written by Gregory S. Chirikjian and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-15 with Mathematics categories.
This unique two-volume set presents the subjects of stochastic processes, information theory, and Lie groups in a unified setting, thereby building bridges between fields that are rarely studied by the same people. Unlike the many excellent formal treatments available for each of these subjects individually, the emphasis in both of these volumes is on the use of stochastic, geometric, and group-theoretic concepts in the modeling of physical phenomena. Stochastic Models, Information Theory, and Lie Groups will be of interest to advanced undergraduate and graduate students, researchers, and practitioners working in applied mathematics, the physical sciences, and engineering. Extensive exercises, motivating examples, and real-world applications make the work suitable as a textbook for use in courses that emphasize applied stochastic processes or differential geometry.
Redundancy Of Lossless Data Compression For Known Sources By Analytic Methods
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Author : Michael Drmota
language : en
Publisher:
Release Date : 2017
Redundancy Of Lossless Data Compression For Known Sources By Analytic Methods written by Michael Drmota and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Coding theory categories.
Lossless data compression is a facet of source coding and a well studied problem of information theory. Its goal is to find a shortest possible code that can be unambiguously recovered. Here, we focus on rigorous analysis of code redundancy for known sources. The redundancy rate problem determines by how much the actual code length exceeds the optimal code length. We present precise analyses of three types of lossless data compression schemes, namely fixed-to-variable (FV) length codes, variable-to-fixed (VF) length codes, and variable to- variable (VV) length codes. In particular, we investigate the average redundancy of Shannon, Huffman, Tunstall, Khodak and Boncelet codes. These codes have succinct representations as trees, either as coding or parsing trees, and we analyze here some of their parameters (e.g., the average path from the root to a leaf). Such trees are precisely analyzed by analytic methods, known also as analytic combinatorics, in which complex analysis plays decisive role. These tools include generating functions, Mellin transform, Fourier series, saddle point method, analytic poissonization and depoissonization, Tauberian theorems, and singularity analysis. The term analytic information theory has been coined to describe problems of information theory studied by analytic tools. This approach lies on the crossroad of information theory, analysis of algorithms, and combinatorics.
Stochastic Models Information Theory And Lie Groups Volume 2
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Author : Gregory S. Chirikjian
language : en
Publisher:
Release Date : 2012
Stochastic Models Information Theory And Lie Groups Volume 2 written by Gregory S. Chirikjian and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with categories.
Data Analytics
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Author : Juan J. Cuadrado-Gallego
language : en
Publisher: Springer Nature
Release Date : 2023-11-30
Data Analytics written by Juan J. Cuadrado-Gallego and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-30 with Computers categories.
Building upon the knowledge introduced in The Data Science Framework, this book provides a comprehensive and detailed examination of each aspect of Data Analytics, both from a theoretical and practical standpoint. The book explains representative algorithms associated with different techniques, from their theoretical foundations to their implementation and use with software tools. Designed as a textbook for a Data Analytics Fundamentals course, it is divided into seven chapters to correspond with 16 weeks of lessons, including both theoretical and practical exercises. Each chapter is dedicated to a lesson, allowing readers to dive deep into each topic with detailed explanations and examples. Readers will learn the theoretical concepts and then immediately apply them to practical exercises to reinforce their knowledge. And in the lab sessions, readers will learn the ins and outs of the R environment and data science methodology to solve exercises with the R language. With detailed solutions provided for all examples and exercises, readers can use this book to study and master data analytics on their own. Whether you're a student, professional, or simply curious about data analytics, this book is a must-have for anyone looking to expand their knowledge in this exciting field.
Information Theoretic Methods In Data Science
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Author : Miguel R. D. Rodrigues
language : en
Publisher: Cambridge University Press
Release Date : 2021-04-08
Information Theoretic Methods In Data Science written by Miguel R. D. Rodrigues and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-08 with Computers categories.
The first unified treatment of the interface between information theory and emerging topics in data science, written in a clear, tutorial style. Covering topics such as data acquisition, representation, analysis, and communication, it is ideal for graduate students and researchers in information theory, signal processing, and machine learning.
Information Theory In Analytical Chemistry
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Author : Karel Eckschlager
language : en
Publisher: John Wiley & Sons
Release Date : 1994-06-14
Information Theory In Analytical Chemistry written by Karel Eckschlager and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-06-14 with Science categories.
Demonstrates how the information theory approach to experimental data can be of benefit not only to analytical chemists but to all those using these techniques in the decision making process. Deals with information-theoretic fundamentals as well as with practical aspects. Discusses the system nature of analysis which is of particular importance in multicomponent analysis.
Abstract Analytic Number Theory
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Author : John Knopfmacher
language : en
Publisher: Courier Dover Publications
Release Date : 2015-03-17
Abstract Analytic Number Theory written by John Knopfmacher and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-03-17 with Mathematics categories.
Innovative study applies classical analytic number theory to nontraditional subjects. Covers arithmetical semigroups and algebraic enumeration problems, arithmetical semigroups with analytical properties of classical type, and analytical properties of other arithmetical systems. 1975 edition.