Concentration Of Measure Inequalities In Information Theory Communications And Coding
DOWNLOAD
Download Concentration Of Measure Inequalities In Information Theory Communications And Coding PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Concentration Of Measure Inequalities In Information Theory Communications And Coding book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Concentration Of Measure Inequalities In Information Theory Communications And Coding
DOWNLOAD
Author : Maxim Raginsky
language : en
Publisher:
Release Date : 2018
Concentration Of Measure Inequalities In Information Theory Communications And Coding written by Maxim Raginsky and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Concentration functions categories.
Concentration inequalities have been the subject of exciting developments during the last two decades, and have been intensively studied and used as a powerful tool in various areas. These include convex geometry, functional analysis, statistical physics, mathematical statistics, pure and applied probability theory (e.g., concentration of measure phenomena in random graphs, random matrices, and percolation), information theory, theoretical computer science, learning theory, and dynamical systems. This monograph 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. In addition to being a survey, this monograph also includes various new recent results derived by the authors.
Concentration Of Measure Inequalities In Information Theory Communications And Coding
DOWNLOAD
Author : Maxim Raginsky
language : en
Publisher:
Release Date : 2014
Concentration Of Measure Inequalities In Information Theory Communications And Coding written by Maxim Raginsky and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Computers categories.
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.
Convexity And Concentration
DOWNLOAD
Author : Eric Carlen
language : en
Publisher: Springer
Release Date : 2017-04-20
Convexity And Concentration written by Eric Carlen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-20 with Mathematics categories.
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.
Concentration Of Measure Inequalities In Information Theory Communications And Coding Thirdedition
DOWNLOAD
Author : Maxim Raginsky
language : en
Publisher: Foundations and Trends (R) in Communications and Information Theory
Release Date : 2018-12-18
Concentration Of Measure Inequalities In Information Theory Communications And Coding Thirdedition written by Maxim Raginsky and has been published by Foundations and Trends (R) in Communications and Information Theory this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-18 with categories.
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.
Elements Of Information Theory
DOWNLOAD
Author : Thomas M. Cover
language : en
Publisher: John Wiley & Sons
Release Date : 2012-11-28
Elements Of Information Theory written by Thomas M. Cover 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 2012-11-28 with Computers categories.
The latest edition of this classic is updated with new problem sets and material The Second Edition of this fundamental textbook maintains the book's tradition of clear, thought-provoking instruction. Readers are provided once again with an instructive mix of mathematics, physics, statistics, and information theory. All the essential topics in information theory are covered in detail, including entropy, data compression, channel capacity, rate distortion, network information theory, and hypothesis testing. The authors provide readers with a solid understanding of the underlying theory and applications. Problem sets and a telegraphic summary at the end of each chapter further assist readers. The historical notes that follow each chapter recap the main points. The Second Edition features: * Chapters reorganized to improve teaching * 200 new problems * New material on source coding, portfolio theory, and feedback capacity * Updated references Now current and enhanced, the Second Edition of Elements of Information Theory remains the ideal textbook for upper-level undergraduate and graduate courses in electrical engineering, statistics, and telecommunications.
Mathematics Going Forward
DOWNLOAD
Author : Jean-Michel Morel
language : en
Publisher: Springer Nature
Release Date : 2023-05-13
Mathematics Going Forward written by Jean-Michel Morel and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-13 with Mathematics categories.
This volume is an original collection of articles by 44 leading mathematicians on the theme of the future of the discipline. The contributions range from musings on the future of specific fields, to analyses of the history of the discipline, to discussions of open problems and conjectures, including first solutions of unresolved problems. Interestingly, the topics do not cover all of mathematics, but only those deemed most worthy to reflect on for future generations. These topics encompass the most active parts of pure and applied mathematics, including algebraic geometry, probability, logic, optimization, finance, topology, partial differential equations, category theory, number theory, differential geometry, dynamical systems, artificial intelligence, theory of groups, mathematical physics and statistics.
Digital Quantum Information Processing With Continuous Variable Systems
DOWNLOAD
Author : Takaya Matsuura
language : en
Publisher: Springer Nature
Release Date : 2023-02-06
Digital Quantum Information Processing With Continuous Variable Systems written by Takaya Matsuura and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-02-06 with Science categories.
The book provides theoretical methods of connecting discrete-variable quantum information processing to continuous-variable one. It covers the two major fields of quantum information processing, quantum communication and quantum computation, leading to achievement of a long-sought full security of continuous-variable quantum key distribution (QKD) and proposal of a resource-efficient method for optical quantum computing. Firstly, the book provides a security of continuous-variable QKD against arbitrary attacks under a realistic condition such as finite communication rounds and the use of digitized information processing. The book also provides the unified view for conventionally used approximate Gottesman-Kitaev-Preskill (GKP) codes, which encodes qudits on a continuous-variable system, enabling direct comparison between researches based on different approximations. The book finally proposes a resource-efficient method to realize the universal optical quantum computation using the GKP code via the direct preparation of the GKP magic state instead of GKP Pauli states. Feasibility of the proposed protocol is discussed based on the existing experimental proposals for the GKP state preparation.
The Theory Of Quantum Information
DOWNLOAD
Author : John Watrous
language : en
Publisher:
Release Date : 2018-04-26
The Theory Of Quantum Information written by John Watrous and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-26 with Computers categories.
Formal development of the mathematical theory of quantum information with clear proofs and exercises. For graduate students and researchers.
The Mathematical Theory Of Information
DOWNLOAD
Author : Jan Kåhre
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-06-30
The Mathematical Theory Of Information written by Jan Kåhre 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 2002-06-30 with Technology & Engineering categories.
The general concept of information is here, for the first time, defined mathematically by adding one single axiom to the probability theory. This Mathematical Theory of Information is explored in fourteen chapters: 1. Information can be measured in different units, in anything from bits to dollars. We will here argue that any measure is acceptable if it does not violate the Law of Diminishing Information. This law is supported by two independent arguments: one derived from the Bar-Hillel ideal receiver, the other is based on Shannon's noisy channel. The entropy in the 'classical information theory' is one of the measures conforming to the Law of Diminishing Information, but it has, however, properties such as being symmetric, which makes it unsuitable for some applications. The measure reliability is found to be a universal information measure. 2. For discrete and finite signals, the Law of Diminishing Information is defined mathematically, using probability theory and matrix algebra. 3. The Law of Diminishing Information is used as an axiom to derive essential properties of information. Byron's law: there is more information in a lie than in gibberish. Preservation: no information is lost in a reversible channel. Etc. The Mathematical Theory of Information supports colligation, i. e. the property to bind facts together making 'two plus two greater than four'. Colligation is a must when the information carries knowledge, or is a base for decisions. In such cases, reliability is always a useful information measure. Entropy does not allow colligation.
Principles Of Digital Communication
DOWNLOAD
Author : Robert G. Gallager
language : en
Publisher: Cambridge University Press
Release Date : 2008-02-28
Principles Of Digital Communication written by Robert G. Gallager 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 2008-02-28 with Technology & Engineering categories.
The renowned communications theorist Robert Gallager brings his lucid writing style to the study of the fundamental system aspects of digital communication for a one-semester course for graduate students. With the clarity and insight that have characterized his teaching and earlier textbooks, he develops a simple framework and then combines this with careful proofs to help the reader understand modern systems and simplified models in an intuitive yet precise way. A strong narrative and links between theory and practice reinforce this concise, practical presentation. The book begins with data compression for arbitrary sources. Gallager then describes how to modulate the resulting binary data for transmission over wires, cables, optical fibers, and wireless channels. Analysis and intuitive interpretations are developed for channel noise models, followed by coverage of the principles of detection, coding, and decoding. The various concepts covered are brought together in a description of wireless communication, using CDMA as a case study.