Elements Of Information Theory


Elements Of Information Theory
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Elements Of Information Theory


Elements Of Information Theory
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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.



Elements Of Information Theory


Elements Of Information Theory
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Author : T. M. Cover
language : en
Publisher: John Wiley & Sons
Release Date : 1999

Elements Of Information Theory written by T. 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 1999 with Information theory categories.


· Entropy, Relative Entropy and Mutual Information· The Asymptotic Equipartition Property· Entropy Rates of a Stochastic Process· Data Compression· Gambling and Data Compression· Kolmogorov Complexity· Channel Capacity· Differential Entropy· The Gaussian Channel· Maximum Entropy and Spectral Estimation· Information Theory and Statistics· Rate Distortion Theory· Network Information Theory· Information Theory and the Stock Market· Inequalities in Information Theory



Open Problems In Communication And Computation


Open Problems In Communication And Computation
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Author : Thomas M. Cover
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Open Problems In Communication And Computation written by Thomas M. Cover 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 2012-12-06 with Computers categories.


Thomas M. Cover and B. Gopinatb The papers in this volume are the contributions to a special workshop on problems in communication and computation conducted in the summers of 1984 and 1985 in Morristown, New Jersey, and the summer of 1986 in Palo Alto. California. The structure of this workshop was unique: no recent results. no surveys. Instead. we asked for outstanding open prob~ lems in the field. There are many famous open problems, including the question P = NP?, the simplex conjecture in communication theory, the capacity region of the broadcast channel. and the two·helper problem in information theory. Beyond these well-defined problems are certain grand research goals. What is the general theory of information flow in stochastic networks? What is a comprehensive theory of computational complexity? What about a unification of algorithmic complexity and computational complex ity? Is there a notion of energy-free computation? And if so, where do information theory, communication theory, computer science, and physics meet at the atomic level? Is there a duality between computation and communication? Finally. what is the ultimate impact of algorithmic com plexity on probability theory? And what is its relationship to information theory? The idea was to present problems on the first day. try to solve them on the second day, and present the solutions on the third day. In actual fact, only one problem was solved during the meeting -- El Gamal's prob· lem on noisy communication over a common line.



Network Information Theory


Network Information Theory
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Author : Abbas El Gamal
language : en
Publisher: Cambridge University Press
Release Date : 2011-12-08

Network Information Theory written by Abbas El Gamal 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 2011-12-08 with Technology & Engineering categories.


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.



Information Theory Inference And Learning Algorithms


Information Theory Inference And Learning Algorithms
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Author : David J. C. MacKay
language : en
Publisher: Cambridge University Press
Release Date : 2003-09-25

Information Theory Inference And Learning Algorithms written by David J. C. MacKay 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 2003-09-25 with Computers categories.


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Information Theory


Information Theory
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Author : JV Stone
language : en
Publisher: Sebtel Press
Release Date : 2015-01-01

Information Theory written by JV Stone and has been published by Sebtel Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-01 with Business & Economics categories.


Originally developed by Claude Shannon in the 1940s, information theory laid the foundations for the digital revolution, and is now an essential tool in telecommunications, genetics, linguistics, brain sciences, and deep space communication. In this richly illustrated book, accessible examples are used to introduce information theory in terms of everyday games like ‘20 questions’ before more advanced topics are explored. Online MatLab and Python computer programs provide hands-on experience of information theory in action, and PowerPoint slides give support for teaching. Written in an informal style, with a comprehensive glossary and tutorial appendices, this text is an ideal primer for novices who wish to learn the essential principles and applications of information theory.



Entropy And Information Theory


Entropy And Information Theory
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Author : Robert M. Gray
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14

Entropy And Information Theory written by Robert M. Gray 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 2013-03-14 with Computers categories.


This book is devoted to the theory of probabilistic information measures and their application to coding theorems for information sources and noisy channels. The eventual goal is a general development of Shannon's mathematical theory of communication, but much of the space is devoted to the tools and methods required to prove the Shannon coding theorems. These tools form an area common to ergodic theory and information theory and comprise several quantitative notions of the information in random variables, random processes, and dynamical systems. Examples are entropy, mutual information, conditional entropy, conditional information, and discrimination or relative entropy, along with the limiting normalized versions of these quantities such as entropy rate and information rate. Much of the book is concerned with their properties, especially the long term asymptotic behavior of sample information and expected information. This is the only up-to-date treatment of traditional information theory emphasizing ergodic theory.



Information Theory Of Molecular Systems


Information Theory Of Molecular Systems
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Author : Roman F. Nalewajski
language : en
Publisher: Elsevier
Release Date : 2006-03-31

Information Theory Of Molecular Systems written by Roman F. Nalewajski and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-03-31 with Computers categories.


As well as providing a unified outlook on physics, Information Theory (IT) has numerous applications in chemistry and biology owing to its ability to provide a measure of the entropy/information contained within probability distributions and criteria of their information "distance" (similarity) and independence. Information Theory of Molecular Systems applies standard IT to classical problems in the theory of electronic structure and chemical reactivity. The book starts by introducing the basic concepts of modern electronic structure/reactivity theory based upon the Density Functional Theory (DFT), followed by an outline of the main ideas and techniques of IT, including several illustrative applications to molecular systems. Coverage includes information origins of the chemical bond, unbiased definition of molecular fragments, adequate entropic measures of their internal (intra-fragment) and external (inter-fragment) bond-orders and valence-numbers, descriptors of their chemical reactivity, and information criteria of their similarity and independence. Information Theory of Molecular Systems is recommended to graduate students and researchers interested in fresh ideas in the theory of electronic structure and chemical reactivity. ·Provides powerful tools for tackling both classical and new problems in the theory of the molecular electronic structure and chemical reactivity ·Introduces basic concepts of the modern electronic structure/reactivity theory based upon the Density Functional Theory (DFT) ·Outlines main ideas and techniques of Information Theory



Information Theory In Computer Vision And Pattern Recognition


Information Theory In Computer Vision And Pattern Recognition
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Author : Francisco Escolano Ruiz
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-07-14

Information Theory In Computer Vision And Pattern Recognition written by Francisco Escolano Ruiz 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 2009-07-14 with Computers categories.


Information theory has proved to be effective for solving many computer vision and pattern recognition (CVPR) problems (such as image matching, clustering and segmentation, saliency detection, feature selection, optimal classifier design and many others). Nowadays, researchers are widely bringing information theory elements to the CVPR arena. Among these elements there are measures (entropy, mutual information...), principles (maximum entropy, minimax entropy...) and theories (rate distortion theory, method of types...). This book explores and introduces the latter elements through an incremental complexity approach at the same time where CVPR problems are formulated and the most representative algorithms are presented. Interesting connections between information theory principles when applied to different problems are highlighted, seeking a comprehensive research roadmap. The result is a novel tool both for CVPR and machine learning researchers, and contributes to a cross-fertilization of both areas.



An Introduction To Information Theory


An Introduction To Information Theory
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Author : Fazlollah M. Reza
language : en
Publisher:
Release Date : 1961

An Introduction To Information Theory written by Fazlollah M. Reza and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with Information theory categories.