Download or read book Information Theory and Language written by Łukasz Dębowski and published by MDPI. This book was released on 2020-12-15 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Information Theory and Language” is a collection of 12 articles that appeared recently in Entropy as part of a Special Issue of the same title. These contributions represent state-of-the-art interdisciplinary research at the interface of information theory and language studies. They concern in particular: • Applications of information theoretic concepts such as Shannon and Rényi entropies, mutual information, and rate–distortion curves to the research of natural languages; • Mathematical work in information theory inspired by natural language phenomena, such as deriving moments of subword complexity or proving continuity of mutual information; • Empirical and theoretical investigation of quantitative laws of natural language such as Zipf’s law, Herdan’s law, and Menzerath–Altmann’s law; • Empirical and theoretical investigations of statistical language models, including recently developed neural language models, their entropies, and other parameters; • Standardizing language resources for statistical investigation of natural language; • Other topics concerning semantics, syntax, and critical phenomena. Whereas the traditional divide between probabilistic and formal approaches to human language, cultivated in the disjoint scholarships of natural sciences and humanities, has been blurred in recent years, this book can contribute to pointing out potential areas of future research cross-fertilization.
Download or read book A Theory of Language and Information written by Zellig Sabbettai Harris and published by . This book was released on 1991 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by one of the most respected figures in American linguistics, this book develops an approach to the analysis of language on a mathematical model. Harris presents a formal theory of language structure, in which syntax is characterized as an orderly system of departure from random combinings of sounds, words, and all the elements of language. He argues that the combining of words in a sentence constitutes a mathematical object, and that each departure from randomness is a contribution to the structure and meaning of a sentence. Discussing the differences in the structure and content of language, mathematics, and music, Harris shows that the use of language in a science constitutes a distinguishable sub-language. Remarkable and compelling, Harris's magnum opus will be considered the classical analysis of the structuring of information and development of language.
Download or read book Grammatical Man written by Jeremy Campbell and published by . This book was released on 1984 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Great Ideas in Information Theory Language and Cybernetics written by Jagjit Singh and published by New York : Dover Publications. This book was released on 1966 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although recent work on the theory of language, information, and automata leans heavily on some rather difficult mathematics, to understand its main ideas we need only know simple elaborations of four commonplace principles.
Download or read book Information Theory and Reliable Communication written by Robert Gallager and published by Springer. This book was released on 2014-05-04 with total page 116 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.
Download or read book An Introduction to Information Theory written by Fazlollah M. Reza and published by . This book was released on 1961 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Download or read book The Mathematical Theory of Communication written by Claude E Shannon and published by University of Illinois Press. This book was released on 1998-09-01 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scientific knowledge grows at a phenomenal pace--but few books have had as lasting an impact or played as important a role in our modern world as The Mathematical Theory of Communication, published originally as a paper on communication theory more than fifty years ago. Republished in book form shortly thereafter, it has since gone through four hardcover and sixteen paperback printings. It is a revolutionary work, astounding in its foresight and contemporaneity. The University of Illinois Press is pleased and honored to issue this commemorative reprinting of a classic.
Download or read book Information Theory and Statistical Learning written by Frank Emmert-Streib and published by Springer Science & Business Media. This book was released on 2009 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: This interdisciplinary text offers theoretical and practical results of information theoretic methods used in statistical learning. It presents a comprehensive overview of the many different methods that have been developed in numerous contexts.
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: Information theory and inference, taught together in this exciting textbook, lie at the heart of many important areas of modern technology - communication, signal processing, data mining, machine learning, pattern recognition, computational neuroscience, bioinformatics and cryptography. The book introduces theory in tandem with applications. Information theory is taught alongside practical communication systems such as arithmetic coding for data compression and sparse-graph codes for error-correction. Inference techniques, including message-passing algorithms, Monte Carlo methods and variational approximations, are developed alongside applications to clustering, convolutional codes, independent component analysis, and neural networks. Uniquely, the book covers state-of-the-art error-correcting codes, including low-density-parity-check codes, turbo codes, and digital fountain codes - the twenty-first-century standards for satellite communications, disk drives, and data broadcast. Richly illustrated, filled with worked examples and over 400 exercises, some with detailed solutions, the book is ideal for self-learning, and for undergraduate or graduate courses. It also provides an unparalleled entry point for professionals in areas as diverse as computational biology, financial engineering and machine learning.
Download or read book Speaking Our Minds written by Thom Scott-Phillips and published by Bloomsbury Publishing. This book was released on 2014-11-03 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: Language is an essential part of what makes us human. Where did it come from? How did it develop into the complex system we know today? And what can an evolutionary perspective tell us about the nature of language and communication? Drawing on a range of disciplines including cognitive science, linguistics, anthropology and evolutionary biology, Speaking Our Minds explains how language evolved and why we are the only species to communicate in this way. Written by a rising star in the field, this groundbreaking book is required reading for anyone interested in understanding the origins and evolution of human communication and language.
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.
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:
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.
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.
Download or read book Coding and Information Theory written by Richard Wesley Hamming and published by Prentice Hall. This book was released on 1986 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focusing on both theory and practical applications, this volume combines in a natural way the two major aspects of information representation--representation for storage (coding theory) and representation for transmission (information theory).
