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Information Theory
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Book Synopsis Information Theory, Inference and Learning Algorithms by : David J. C. MacKay
Download or read book Information Theory, Inference and Learning Algorithms written by David J. C. MacKay and published by Cambridge University Press. This book was released on 2003-09-25 with total page 694 pages. Available in PDF, EPUB and Kindle. Book excerpt: Table of contents
Book Synopsis Entropy and Information Theory by : Robert M. Gray
Download or read book Entropy and Information Theory written by Robert M. Gray and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Elements of Information Theory by : Thomas M. Cover
Download or read book Elements of Information Theory written by Thomas M. Cover and published by John Wiley & Sons. This book was released on 2012-11-28 with total page 788 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Information Theory by : Robert B. Ash
Download or read book Information Theory written by Robert B. Ash and published by Halsted Press. This book was released on 1965 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Information Theory written by JV Stone and published by Sebtel Press. This book was released on 2015-01-01 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Quantum Information Theory by : Mark Wilde
Download or read book Quantum Information Theory written by Mark Wilde and published by Cambridge University Press. This book was released on 2013-04-18 with total page 673 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained, graduate-level textbook that develops from scratch classical results as well as advances of the past decade.
Book Synopsis Information Theory by : Imre Csiszár
Download or read book Information Theory written by Imre Csiszár and published by Elsevier. This book was released on 2014-07-10 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: Information Theory: Coding Theorems for Discrete Memoryless Systems presents mathematical models that involve independent random variables with finite range. This three-chapter text specifically describes the characteristic phenomena of information theory. Chapter 1 deals with information measures in simple coding problems, with emphasis on some formal properties of Shannon’s information and the non-block source coding. Chapter 2 describes the properties and practical aspects of the two-terminal systems. This chapter also examines the noisy channel coding problem, the computation of channel capacity, and the arbitrarily varying channels. Chapter 3 looks into the theory and practicality of multi-terminal systems. This book is intended primarily for graduate students and research workers in mathematics, electrical engineering, and computer science.
Book Synopsis Mathematical Foundations of Information Theory by : Aleksandr I?Akovlevich Khinchin
Download or read book Mathematical Foundations of Information Theory written by Aleksandr I?Akovlevich Khinchin and published by Courier Corporation. This book was released on 1957-01-01 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: First comprehensive introduction to information theory explores the work of Shannon, McMillan, Feinstein, and Khinchin. Topics include the entropy concept in probability theory, fundamental theorems, and other subjects. 1957 edition.
Book Synopsis Network Information Theory by : Abbas El Gamal
Download or read book Network Information Theory written by Abbas El Gamal and published by Cambridge University Press. This book was released on 2011-12-08 with total page 666 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis New Foundations for Information Theory by : David Ellerman
Download or read book New Foundations for Information Theory written by David Ellerman and published by Springer Nature. This book was released on 2021-10-30 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph offers a new foundation for information theory that is based on the notion of information-as-distinctions, being directly measured by logical entropy, and on the re-quantification as Shannon entropy, which is the fundamental concept for the theory of coding and communications. Information is based on distinctions, differences, distinguishability, and diversity. Information sets are defined that express the distinctions made by a partition, e.g., the inverse-image of a random variable so they represent the pre-probability notion of information. Then logical entropy is a probability measure on the information sets, the probability that on two independent trials, a distinction or “dit” of the partition will be obtained. The formula for logical entropy is a new derivation of an old formula that goes back to the early twentieth century and has been re-derived many times in different contexts. As a probability measure, all the compound notions of joint, conditional, and mutual logical entropy are immediate. The Shannon entropy (which is not defined as a measure in the sense of measure theory) and its compound notions are then derived from a non-linear dit-to-bit transform that re-quantifies the distinctions of a random variable in terms of bits—so the Shannon entropy is the average number of binary distinctions or bits necessary to make all the distinctions of the random variable. And, using a linearization method, all the set concepts in this logical information theory naturally extend to vector spaces in general—and to Hilbert spaces in particular—for quantum logical information theory which provides the natural measure of the distinctions made in quantum measurement. Relatively short but dense in content, this work can be a reference to researchers and graduate students doing investigations in information theory, maximum entropy methods in physics, engineering, and statistics, and to all those with a special interest in a new approach to quantum information theory.
Book Synopsis Information Theory and Statistics by : Solomon Kullback
Download or read book Information Theory and Statistics written by Solomon Kullback and published by Courier Corporation. This book was released on 2012-09-11 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: Highly useful text studies logarithmic measures of information and their application to testing statistical hypotheses. Includes numerous worked examples and problems. References. Glossary. Appendix. 1968 2nd, revised edition.
Book Synopsis A First Course in Information Theory by : Raymond W. Yeung
Download or read book A First Course in Information Theory written by Raymond W. Yeung and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an up-to-date introduction to information theory. In addition to the classical topics discussed, it provides the first comprehensive treatment of the theory of I-Measure, network coding theory, Shannon and non-Shannon type information inequalities, and a relation between entropy and group theory. ITIP, a software package for proving information inequalities, is also included. With a large number of examples, illustrations, and original problems, this book is excellent as a textbook or reference book for a senior or graduate level course on the subject, as well as a reference for researchers in related fields.
Book Synopsis Theory of Information and its Value by : Ruslan L. Stratonovich
Download or read book Theory of Information and its Value written by Ruslan L. Stratonovich and published by Springer Nature. This book was released on 2020-01-14 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: This English version of Ruslan L. Stratonovich’s Theory of Information (1975) builds on theory and provides methods, techniques, and concepts toward utilizing critical applications. Unifying theories of information, optimization, and statistical physics, the value of information theory has gained recognition in data science, machine learning, and artificial intelligence. With the emergence of a data-driven economy, progress in machine learning, artificial intelligence algorithms, and increased computational resources, the need for comprehending information is essential. This book is even more relevant today than when it was first published in 1975. It extends the classic work of R.L. Stratonovich, one of the original developers of the symmetrized version of stochastic calculus and filtering theory, to name just two topics. Each chapter begins with basic, fundamental ideas, supported by clear examples; the material then advances to great detail and depth. The reader is not required to be familiar with the more difficult and specific material. Rather, the treasure trove of examples of stochastic processes and problems makes this book accessible to a wide readership of researchers, postgraduates, and undergraduate students in mathematics, engineering, physics and computer science who are specializing in information theory, data analysis, or machine learning.
Book Synopsis Introduction to Information Theory and Data Compression, Second Edition by : D.C. Hankerson
Download or read book Introduction to Information Theory and Data Compression, Second Edition written by D.C. Hankerson and published by CRC Press. This book was released on 2003-02-26 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: An effective blend of carefully explained theory and practical applications, this text imparts the fundamentals of both information theory and data compression. Although the two topics are related, this unique text allows either topic to be presented independently, and it was specifically designed so that the data compression section requires no prior knowledge of information theory. The treatment of information theory, while theoretical and abstract, is quite elementary, making this text less daunting than many others. After presenting the fundamental definitions and results of the theory, the authors then apply the theory to memoryless, discrete channels with zeroth-order, one-state sources. The chapters on data compression acquaint students with a myriad of lossless compression methods and then introduce two lossy compression methods. Students emerge from this study competent in a wide range of techniques. The authors' presentation is highly practical but includes some important proofs, either in the text or in the exercises, so instructors can, if they choose, place more emphasis on the mathematics. Introduction to Information Theory and Data Compression, Second Edition is ideally suited for an upper-level or graduate course for students in mathematics, engineering, and computer science. Features: Expanded discussion of the historical and theoretical basis of information theory that builds a firm, intuitive grasp of the subject Reorganization of theoretical results along with new exercises, ranging from the routine to the more difficult, that reinforce students' ability to apply the definitions and results in specific situations. Simplified treatment of the algorithm(s) of Gallager and Knuth Discussion of the information rate of a code and the trade-off between error correction and information rate Treatment of probabilistic finite state source automata, including basic results, examples, references, and exercises Octave and MATLAB image compression codes included in an appendix for use with the exercises and projects involving transform methods Supplementary materials, including software, available for download from the authors' Web site at www.dms.auburn.edu/compression
Download or read book The Information written by James Gleick and published by Vintage. This book was released on 2011-03-01 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the bestselling author of the acclaimed Chaos and Genius comes a thoughtful and provocative exploration of the big ideas of the modern era: Information, communication, and information theory. Acclaimed science writer James Gleick presents an eye-opening vision of how our relationship to information has transformed the very nature of human consciousness. A fascinating intellectual journey through the history of communication and information, from the language of Africa’s talking drums to the invention of written alphabets; from the electronic transmission of code to the origins of information theory, into the new information age and the current deluge of news, tweets, images, and blogs. Along the way, Gleick profiles key innovators, including Charles Babbage, Ada Lovelace, Samuel Morse, and Claude Shannon, and reveals how our understanding of information is transforming not only how we look at the world, but how we live. A New York Times Notable Book A Los Angeles Times and Cleveland Plain Dealer Best Book of the Year Winner of the PEN/E. O. Wilson Literary Science Writing Award
Book Synopsis Information Theory and Coding by : Norman Abramson
Download or read book Information Theory and Coding written by Norman Abramson and published by New York, N.Y. : McGraw-Hill. This book was released on 1963 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Knowledge and Power by : George Gilder
Download or read book Knowledge and Power written by George Gilder and published by Simon and Schuster. This book was released on 2013-06-10 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ronald Reagan’s most-quoted living author—George Gilder—is back with an all-new paradigm-shifting theory of capitalism that will upturn conventional wisdom, just when our economy desperately needs a new direction. America’s struggling economy needs a better philosophy than the college student's lament: "I can't be out of money, I still have checks in my checkbook!" We’ve tried a government spending spree, and we’ve learned it doesn’t work. Now is the time to rededicate our country to the pursuit of free market capitalism, before we’re buried under a mound of debt and unfunded entitlements. But how do we navigate between government spending that's too big to sustain and financial institutions that are "too big to fail?" In Knowledge and Power, George Gilder proposes a bold new theory on how capitalism produces wealth and how our economy can regain its vitality and its growth. Gilder breaks away from the supply-side model of economics to present a new economic paradigm: the epic conflict between the knowledge of entrepreneurs on one side, and the blunt power of government on the other. The knowledge of entrepreneurs, and their freedom to share and use that knowledge, are the sparks that light up the economy and set its gears in motion. The power of government to regulate, stifle, manipulate, subsidize or suppress knowledge and ideas is the inertia that slows those gears down, or keeps them from turning at all. One of the twentieth century’s defining economic minds has returned with a new philosophy to carry us into the twenty-first. Knowledge and Power is a must-read for fiscal conservatives, business owners, CEOs, investors, and anyone interested in propelling America’s economy to future success.
