Theory of Information and its Value

Theory of Information and its Value
Author: Ruslan L. Stratonovich
Publisher: Springer Nature
Total Pages: 419
Release: 2020-01-14
Genre: Mathematics
ISBN: 3030228339

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.

Elements of Information Theory

Elements of Information Theory
Author: Thomas M. Cover
Publisher: John Wiley & Sons
Total Pages: 788
Release: 2012-11-28
Genre: Computers
ISBN: 1118585771

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.

Information Technology and Moral Philosophy

Information Technology and Moral Philosophy
Author: Jeroen van den Hoven
Publisher: Cambridge University Press
Total Pages: 428
Release: 2009-11-23
Genre: Philosophy
ISBN: 9780521671613

This book gives an in-depth philosophical analysis of moral problems to which information technology gives rise, for example, problems related to privacy, intellectual property, responsibility, friendship, and trust, with contributions from many of the best-known philosophers writing in the area.

Theory of Value Structure

Theory of Value Structure
Author: Erich H. Rast
Publisher: Rowman & Littlefield
Total Pages: 234
Release: 2022-03-08
Genre: Philosophy
ISBN: 1793616957

The theory of value structure concerns the meaning of “better than” and “good,” as well as the way in which values serve as a basis for rational decision making. Drawing methodologically from economics and theories of decision making, the aim of serious axiology in metaethics is to do justice to problems that have puzzled philosophers of value for centuries. Can value comparisons be cyclic? Are all values comparable with each other and can decision makers just add up different aspects of an evaluation to determine the best course of action? A Theory of Value Structure: From Values to Decisions starts with a thorough introduction to the modeling of “better than” comparisons from a normative perspective. In the philosophical part of the book, Erich H. Rast argues that aspects of “better than” comparisons can differ qualitatively so much that one aspect may outrank another. Consequently, the classical weighted sum aggregation model fails. Values cannot always be summed up and comparisons may be fundamentally noncompensatory, an indeterminacy that explains problems like the apparent nontransitivity of “better than” and hard cases in decision making. Using a lexicographic method of value comparisons, Rast develops a multidimensional theory of “better than” and shows how and to which extent it can be combined with standard methods of decision making under uncertainty by using rank-dependent utility theory.

Quantum Information Theory and the Foundations of Quantum Mechanics

Quantum Information Theory and the Foundations of Quantum Mechanics
Author: Christopher G. Timpson
Publisher: Oxford Philosophical Monograph
Total Pages: 308
Release: 2013-04-25
Genre: Computers
ISBN: 0199296464

Christopher G. Timpson provides the first full-length philosophical treatment of quantum information theory and the questions it raises for our understanding of the quantum world. He argues for an ontologically deflationary account of the nature of quantum information, which is grounded in a revisionary analysis of the concepts of information.

Entropy and Information Theory

Entropy and Information Theory
Author: Robert M. Gray
Publisher: Springer Science & Business Media
Total Pages: 346
Release: 2013-03-14
Genre: Computers
ISBN: 1475739826

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

Information Theory
Author: JV Stone
Publisher: Sebtel Press
Total Pages: 243
Release: 2015-01-01
Genre: Business & Economics
ISBN: 0956372856

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.

The Mathematical Theory of Communication

The Mathematical Theory of Communication
Author: Claude E Shannon
Publisher: University of Illinois Press
Total Pages: 141
Release: 1998-09-01
Genre: Language Arts & Disciplines
ISBN: 025209803X

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.

Knowledge and Power

Knowledge and Power
Author: George Gilder
Publisher: Regnery Publishing
Total Pages: 370
Release: 2013-06-10
Genre: Political Science
ISBN: 1621570274

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.

Information Theory, Inference and Learning Algorithms

Information Theory, Inference and Learning Algorithms
Author: David J. C. MacKay
Publisher: Cambridge University Press
Total Pages: 694
Release: 2003-09-25
Genre: Computers
ISBN: 9780521642989

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.