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Author: Maxim Raginsky Publisher: ISBN: 9781601989062 Category : Computers Languages : en Pages : 256
Book Description
Concentration of Measure Inequalities in Information Theory, Communications, and Coding focuses on some of the key modern mathematical tools that are used for the derivation of concentration inequalities, on their links to information theory, and on their various applications to communications and coding.
Author: Maxim Raginsky Publisher: ISBN: 9781601989062 Category : Computers Languages : en Pages : 256
Book Description
Concentration of Measure Inequalities in Information Theory, Communications, and Coding focuses on some of the key modern mathematical tools that are used for the derivation of concentration inequalities, on their links to information theory, and on their various applications to communications and coding.
Author: Maxim Raginsky Publisher: Foundations and Trends (R) in Communications and Information Theory ISBN: 9781680835342 Category : Languages : en Pages : 266
Book Description
This book focuses on some of the key modern mathematical tools that are used for the derivation of concentration inequalities, on their links to information theory, and on their various applications to communications and coding.
Author: Stéphane Boucheron Publisher: Oxford University Press ISBN: 0199535256 Category : Mathematics Languages : en Pages : 492
Book Description
Describes the interplay between the probabilistic structure (independence) and a variety of tools ranging from functional inequalities to transportation arguments to information theory. Applications to the study of empirical processes, random projections, random matrix theory, and threshold phenomena are also presented.
Author: Eric Carlen Publisher: Springer ISBN: 1493970054 Category : Mathematics Languages : en Pages : 620
Book Description
This volume presents some of the research topics discussed at the 2014-2015 Annual Thematic Program Discrete Structures: Analysis and Applications at the Institute of Mathematics and its Applications during the Spring 2015 where geometric analysis, convex geometry and concentration phenomena were the focus. Leading experts have written surveys of research problems, making state of the art results more conveniently and widely available. The volume is organized into two parts. Part I contains those contributions that focus primarily on problems motivated by probability theory, while Part II contains those contributions that focus primarily on problems motivated by convex geometry and geometric analysis. This book will be of use to those who research convex geometry, geometric analysis and probability directly or apply such methods in other fields.
Author: Imre Csiszár Publisher: Now Publishers Inc ISBN: 9781933019055 Category : Computers Languages : en Pages : 128
Book Description
Information Theory and Statistics: A Tutorial is concerned with applications of information theory concepts in statistics, in the finite alphabet setting. The topics covered include large deviations, hypothesis testing, maximum likelihood estimation in exponential families, analysis of contingency tables, and iterative algorithms with an "information geometry" background. Also, an introduction is provided to the theory of universal coding, and to statistical inference via the minimum description length principle motivated by that theory. The tutorial does not assume the reader has an in-depth knowledge of Information Theory or statistics. As such, Information Theory and Statistics: A Tutorial, is an excellent introductory text to this highly-important topic in mathematics, computer science and electrical engineering. It provides both students and researchers with an invaluable resource to quickly get up to speed in the field.
Author: Devdatt P. Dubhashi Publisher: Cambridge University Press ISBN: 1139480995 Category : Computers Languages : en Pages : 213
Book Description
Randomized algorithms have become a central part of the algorithms curriculum, based on their increasingly widespread use in modern applications. This book presents a coherent and unified treatment of probabilistic techniques for obtaining high probability estimates on the performance of randomized algorithms. It covers the basic toolkit from the Chernoff–Hoeffding bounds to more sophisticated techniques like martingales and isoperimetric inequalities, as well as some recent developments like Talagrand's inequality, transportation cost inequalities and log-Sobolev inequalities. Along the way, variations on the basic theme are examined, such as Chernoff–Hoeffding bounds in dependent settings. The authors emphasise comparative study of the different methods, highlighting respective strengths and weaknesses in concrete example applications. The exposition is tailored to discrete settings sufficient for the analysis of algorithms, avoiding unnecessary measure-theoretic details, thus making the book accessible to computer scientists as well as probabilists and discrete mathematicians.
Author: Abbas El Gamal Publisher: Cambridge University Press ISBN: 1139503146 Category : Technology & Engineering Languages : en Pages : 666
Book Description
This comprehensive treatment of network information theory and its applications provides the first unified coverage of both classical and recent results. With an approach that balances the introduction of new models and new coding techniques, readers are guided through Shannon's point-to-point information theory, single-hop networks, multihop networks, and extensions to distributed computing, secrecy, wireless communication, and networking. Elementary mathematical tools and techniques are used throughout, requiring only basic knowledge of probability, whilst unified proofs of coding theorems are based on a few simple lemmas, making the text accessible to newcomers. Key topics covered include successive cancellation and superposition coding, MIMO wireless communication, network coding, and cooperative relaying. Also covered are feedback and interactive communication, capacity approximations and scaling laws, and asynchronous and random access channels. This book is ideal for use in the classroom, for self-study, and as a reference for researchers and engineers in industry and academia.
Author: John Watrous Publisher: ISBN: 1107180562 Category : Computers Languages : en Pages : 599
Book Description
Formal development of the mathematical theory of quantum information with clear proofs and exercises. For graduate students and researchers.
Author: Te Sun Han Publisher: Springer Science & Business Media ISBN: 3662120666 Category : Mathematics Languages : en Pages : 552
Book Description
From the reviews: "This book nicely complements the existing literature on information and coding theory by concentrating on arbitrary nonstationary and/or nonergodic sources and channels with arbitrarily large alphabets. Even with such generality the authors have managed to successfully reach a highly unconventional but very fertile exposition rendering new insights into many problems." -- MATHEMATICAL REVIEWS
Author: Maxim Raginsky
Author: Maxim Raginsky
Author: Maxim Raginsky
Author: Stéphane Boucheron
Author: Roman Vershynin
Author: Eric Carlen
Author: Imre Csiszár
Author: Devdatt P. Dubhashi
Author: Abbas El Gamal
Author: John Watrous
Author: Te Sun Han