Aspects Of Kolmogorov Complexity The Physics Of Information

Download Aspects Of Kolmogorov Complexity The Physics Of Information full books in PDF, epub, and Kindle. Read online Aspects Of Kolmogorov Complexity The Physics Of Information ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Aspects of Kolmogorov Complexity the Physics of Information

Author : Bradley S. Tice
Publisher : CRC Press
ISBN 13 : 1000797155
Total Pages : 98 pages
Book Rating : 4.0/5 (7 download)

DOWNLOAD NOW!

Book Synopsis Aspects of Kolmogorov Complexity the Physics of Information by : Bradley S. Tice

Download or read book Aspects of Kolmogorov Complexity the Physics of Information written by Bradley S. Tice and published by CRC Press. This book was released on 2022-09-01 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: The research presented in Aspects of Kolmogorov Complexity addresses the fundamental standard of defining randomness as measured by a Martin-Lof level of randomness as found in random sequential binary strings. A classical study of statistics that addresses both a fundamental standard of statistics as well as an applied measure for statistical communication theory. The research points to compression levels in a random state that are greater than is found in current literature. A historical overview of the field of Kolmogorov Complexity and Algorithmic Information Theory, a subfield of Information Theory, is given as well as examples using a radix 3, radix 4, and radix 5 base numbers for both random and non-random sequential strings. The text also examines monochromatic and chromatic symbols and both theoretical and applied aspects of data compression as they relate to the transmission and storage of information. The appendix contains papers on the subject given at conferences and the references are current.ContentsTechnical topics addressed in Aspects of Kolmogorov Complexity include:• Statistical Communication Theory• Algorithmic Information Theory• Kolmogorov Complexity• Martin-Lof Randomness• Compression, Transmission and Storage of Information

An Introduction to Kolmogorov Complexity and Its Applications

Author : Ming Li
Publisher : Springer Science & Business Media
ISBN 13 : 1475726066
Total Pages : 655 pages
Book Rating : 4.4/5 (757 download)

DOWNLOAD NOW!

Book Synopsis An Introduction to Kolmogorov Complexity and Its Applications by : Ming Li

Download or read book An Introduction to Kolmogorov Complexity and Its Applications written by Ming Li and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 655 pages. Available in PDF, EPUB and Kindle. Book excerpt: Briefly, we review the basic elements of computability theory and prob ability theory that are required. Finally, in order to place the subject in the appropriate historical and conceptual context we trace the main roots of Kolmogorov complexity. This way the stage is set for Chapters 2 and 3, where we introduce the notion of optimal effective descriptions of objects. The length of such a description (or the number of bits of information in it) is its Kolmogorov complexity. We treat all aspects of the elementary mathematical theory of Kolmogorov complexity. This body of knowledge may be called algo rithmic complexity theory. The theory of Martin-Lof tests for random ness of finite objects and infinite sequences is inextricably intertwined with the theory of Kolmogorov complexity and is completely treated. We also investigate the statistical properties of finite strings with high Kolmogorov complexity. Both of these topics are eminently useful in the applications part of the book. We also investigate the recursion theoretic properties of Kolmogorov complexity (relations with Godel's incompleteness result), and the Kolmogorov complexity version of infor mation theory, which we may call "algorithmic information theory" or "absolute information theory. " The treatment of algorithmic probability theory in Chapter 4 presup poses Sections 1. 6, 1. 11. 2, and Chapter 3 (at least Sections 3. 1 through 3. 4).

An Introduction to Kolmogorov Complexity and Its Applications

Author : Ming Li
Publisher : Springer Science & Business Media
ISBN 13 : 0387498206
Total Pages : 809 pages
Book Rating : 4.3/5 (874 download)

DOWNLOAD NOW!

Book Synopsis An Introduction to Kolmogorov Complexity and Its Applications by : Ming Li

Download or read book An Introduction to Kolmogorov Complexity and Its Applications written by Ming Li and published by Springer Science & Business Media. This book was released on 2009-03-18 with total page 809 pages. Available in PDF, EPUB and Kindle. Book excerpt: “The book is outstanding and admirable in many respects. ... is necessary reading for all kinds of readers from undergraduate students to top authorities in the field.” Journal of Symbolic Logic Written by two experts in the field, this is the only comprehensive and unified treatment of the central ideas and applications of Kolmogorov complexity. The book presents a thorough treatment of the subject with a wide range of illustrative applications. Such applications include the randomness of finite objects or infinite sequences, Martin-Loef tests for randomness, information theory, computational learning theory, the complexity of algorithms, and the thermodynamics of computing. It will be ideal for advanced undergraduate students, graduate students, and researchers in computer science, mathematics, cognitive sciences, philosophy, artificial intelligence, statistics, and physics. The book is self-contained in that it contains the basic requirements from mathematics and computer science. Included are also numerous problem sets, comments, source references, and hints to solutions of problems. New topics in this edition include Omega numbers, Kolmogorov–Loveland randomness, universal learning, communication complexity, Kolmogorov's random graphs, time-limited universal distribution, Shannon information and others.

Information And Complexity

Author : Burgin Mark
Publisher : World Scientific
ISBN 13 : 9813109041
Total Pages : 412 pages
Book Rating : 4.8/5 (131 download)

DOWNLOAD NOW!

Book Synopsis Information And Complexity by : Burgin Mark

Download or read book Information And Complexity written by Burgin Mark and published by World Scientific. This book was released on 2016-11-28 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is a collection of papers of experts in the fields of information and complexity. Information is a basic structure of the world, while complexity is a fundamental property of systems and processes. There are intrinsic relations between information and complexity. The research in information theory, the theory of complexity and their interrelations is very active. The book will expand knowledge on information, complexity and their relations representing the most recent and advanced studies and achievements in this area. The goal of the book is to present the topic from different perspectives — mathematical, informational, philosophical, methodological, etc.

Kolmogorov Complexity and Algorithmic Randomness

Author : A. Shen
Publisher : American Mathematical Society
ISBN 13 : 1470470640
Total Pages : 511 pages
Book Rating : 4.4/5 (74 download)

DOWNLOAD NOW!

Book Synopsis Kolmogorov Complexity and Algorithmic Randomness by : A. Shen

Download or read book Kolmogorov Complexity and Algorithmic Randomness written by A. Shen and published by American Mathematical Society. This book was released on 2022-05-18 with total page 511 pages. Available in PDF, EPUB and Kindle. Book excerpt: Looking at a sequence of zeros and ones, we often feel that it is not random, that is, it is not plausible as an outcome of fair coin tossing. Why? The answer is provided by algorithmic information theory: because the sequence is compressible, that is, it has small complexity or, equivalently, can be produced by a short program. This idea, going back to Solomonoff, Kolmogorov, Chaitin, Levin, and others, is now the starting point of algorithmic information theory. The first part of this book is a textbook-style exposition of the basic notions of complexity and randomness; the second part covers some recent work done by participants of the “Kolmogorov seminar” in Moscow (started by Kolmogorov himself in the 1980s) and their colleagues. This book contains numerous exercises (embedded in the text) that will help readers to grasp the material.

Elements of Information Theory

Author : Thomas M. Cover
Publisher : John Wiley & Sons
ISBN 13 : 1118585771
Total Pages : 788 pages
Book Rating : 4.1/5 (185 download)

DOWNLOAD NOW!

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.

A Level of Martin-Lof Randomness

Author : Bradley S. Tice
Publisher : CRC Press
ISBN 13 : 1466565616
Total Pages : 130 pages
Book Rating : 4.4/5 (665 download)

DOWNLOAD NOW!

Book Synopsis A Level of Martin-Lof Randomness by : Bradley S. Tice

Download or read book A Level of Martin-Lof Randomness written by Bradley S. Tice and published by CRC Press. This book was released on 2012-10-09 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work addresses the notion of compression ratios greater than what has been known for random sequential strings in binary and larger radix-based systems as applied to those traditionally found in Kolmogorov complexity. A culmination of the author's decade-long research that began with his discovery of a compressible random sequential string, th

Dynamics, Information and Complexity in Quantum Systems

Author : Fabio Benatti
Publisher : Springer Science & Business Media
ISBN 13 : 1402093063
Total Pages : 535 pages
Book Rating : 4.4/5 (2 download)

DOWNLOAD NOW!

Book Synopsis Dynamics, Information and Complexity in Quantum Systems by : Fabio Benatti

Download or read book Dynamics, Information and Complexity in Quantum Systems written by Fabio Benatti and published by Springer Science & Business Media. This book was released on 2009-04-17 with total page 535 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a self-contained overview of the entropic approach to quantum dynamical systems. In it, complexity in quantum dynamics is addressed by comparison with the classical ergodic, information, and algorithmic complexity theories.

An Introduction to Kolmogorov Complexity and Its Applications

Author : Ming Li
Publisher : Springer
ISBN 13 : 3030112985
Total Pages : 834 pages
Book Rating : 4.0/5 (31 download)

DOWNLOAD NOW!

Book Synopsis An Introduction to Kolmogorov Complexity and Its Applications by : Ming Li

Download or read book An Introduction to Kolmogorov Complexity and Its Applications written by Ming Li and published by Springer. This book was released on 2019-06-11 with total page 834 pages. Available in PDF, EPUB and Kindle. Book excerpt: This must-read textbook presents an essential introduction to Kolmogorov complexity (KC), a central theory and powerful tool in information science that deals with the quantity of information in individual objects. The text covers both the fundamental concepts and the most important practical applications, supported by a wealth of didactic features. This thoroughly revised and enhanced fourth edition includes new and updated material on, amongst other topics, the Miller-Yu theorem, the Gács-Kučera theorem, the Day-Gács theorem, increasing randomness, short lists computable from an input string containing the incomputable Kolmogorov complexity of the input, the Lovász local lemma, sorting, the algorithmic full Slepian-Wolf theorem for individual strings, multiset normalized information distance and normalized web distance, and conditional universal distribution. Topics and features: describes the mathematical theory of KC, including the theories of algorithmic complexity and algorithmic probability; presents a general theory of inductive reasoning and its applications, and reviews the utility of the incompressibility method; covers the practical application of KC in great detail, including the normalized information distance (the similarity metric) and information diameter of multisets in phylogeny, language trees, music, heterogeneous files, and clustering; discusses the many applications of resource-bounded KC, and examines different physical theories from a KC point of view; includes numerous examples that elaborate the theory, and a range of exercises of varying difficulty (with solutions); offers explanatory asides on technical issues, and extensive historical sections; suggests structures for several one-semester courses in the preface. As the definitive textbook on Kolmogorov complexity, this comprehensive and self-contained work is an invaluable resource for advanced undergraduate students, graduate students, and researchers in all fields of science.

Information and Complexity in Statistical Modeling

Author : Jorma Rissanen
Publisher : Springer Science & Business Media
ISBN 13 : 0387688129
Total Pages : 145 pages
Book Rating : 4.3/5 (876 download)

DOWNLOAD NOW!

Book Synopsis Information and Complexity in Statistical Modeling by : Jorma Rissanen

Download or read book Information and Complexity in Statistical Modeling written by Jorma Rissanen and published by Springer Science & Business Media. This book was released on 2007-12-15 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: No statistical model is "true" or "false," "right" or "wrong"; the models just have varying performance, which can be assessed. The main theme in this book is to teach modeling based on the principle that the objective is to extract the information from data that can be learned with suggested classes of probability models. The intuitive and fundamental concepts of complexity, learnable information, and noise are formalized, which provides a firm information theoretic foundation for statistical modeling. Although the prerequisites include only basic probability calculus and statistics, a moderate level of mathematical proficiency would be beneficial.

Kolmogorov Complexity and Computational Complexity

Author : Osamu Watanabe
Publisher : Springer Science & Business Media
ISBN 13 : 364277735X
Total Pages : 111 pages
Book Rating : 4.6/5 (427 download)

DOWNLOAD NOW!

Book Synopsis Kolmogorov Complexity and Computational Complexity by : Osamu Watanabe

Download or read book Kolmogorov Complexity and Computational Complexity written by Osamu Watanabe and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 111 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mathematical theory of computation has given rise to two important ap proaches to the informal notion of "complexity": Kolmogorov complexity, usu ally a complexity measure for a single object such as a string, a sequence etc., measures the amount of information necessary to describe the object. Compu tational complexity, usually a complexity measure for a set of objects, measures the compuational resources necessary to recognize or produce elements of the set. The relation between these two complexity measures has been considered for more than two decades, and may interesting and deep observations have been obtained. In March 1990, the Symposium on Theory and Application of Minimal Length Encoding was held at Stanford University as a part of the AAAI 1990 Spring Symposium Series. Some sessions of the symposium were dedicated to Kolmogorov complexity and its relations to the computational complexity the ory, and excellent expository talks were given there. Feeling that, due to the importance of the material, some way should be found to share these talks with researchers in the computer science community, I asked the speakers of those sessions to write survey papers based on their talks in the symposium. In response, five speakers from the sessions contributed the papers which appear in this book.

Algorithmic Information Theory for Physicists and Natural Scientists

Author : Sean Devine
Publisher :
ISBN 13 : 9780750326391
Total Pages : pages
Book Rating : 4.3/5 (263 download)

DOWNLOAD NOW!

Book Synopsis Algorithmic Information Theory for Physicists and Natural Scientists by : Sean Devine

Download or read book Algorithmic Information Theory for Physicists and Natural Scientists written by Sean Devine and published by . This book was released on 2020 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Algorithmic information theory (AIT), or Kolmogorov complexity as it is known to mathematicians, can provide a useful tool for scientists to look at natural systems, however some critical conceptual issues need to be understood and the advances already made collated and put in a form accessible to scientists. This book has been written in the hope that readers will be able to absorb the key ideas behind AIT so that they are in a better position to access the mathematical developments and to apply the ideas to their own areas of interest. The theoretical underpinning of AIT is outlined in the earlier chapters, while later chapters focus on the applications, drawing attention to the thermodynamic commonality between ordered physical systems such as the alignment of magnetic spins, the maintenance of a laser distant from equilibrium, and ordered living systems such as bacterial systems, an ecology, and an economy.

Kolmogorov Complexity and Algorithmic Randomness

Author : A. Shen
Publisher : American Mathematical Soc.
ISBN 13 : 1470431823
Total Pages : 511 pages
Book Rating : 4.4/5 (74 download)

DOWNLOAD NOW!

Book Synopsis Kolmogorov Complexity and Algorithmic Randomness by : A. Shen

Download or read book Kolmogorov Complexity and Algorithmic Randomness written by A. Shen and published by American Mathematical Soc.. This book was released on 2017-11-02 with total page 511 pages. Available in PDF, EPUB and Kindle. Book excerpt: Looking at a sequence of zeros and ones, we often feel that it is not random, that is, it is not plausible as an outcome of fair coin tossing. Why? The answer is provided by algorithmic information theory: because the sequence is compressible, that is, it has small complexity or, equivalently, can be produced by a short program. This idea, going back to Solomonoff, Kolmogorov, Chaitin, Levin, and others, is now the starting point of algorithmic information theory. The first part of this book is a textbook-style exposition of the basic notions of complexity and randomness; the second part covers some recent work done by participants of the “Kolmogorov seminar” in Moscow (started by Kolmogorov himself in the 1980s) and their colleagues. This book contains numerous exercises (embedded in the text) that will help readers to grasp the material.

Complexity, Entropy And The Physics Of Information

Author : Wojciech H. Zurek
Publisher : CRC Press
ISBN 13 : 0429982518
Total Pages : 548 pages
Book Rating : 4.4/5 (299 download)

DOWNLOAD NOW!

Book Synopsis Complexity, Entropy And The Physics Of Information by : Wojciech H. Zurek

Download or read book Complexity, Entropy And The Physics Of Information written by Wojciech H. Zurek and published by CRC Press. This book was released on 2018-03-08 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has emerged from a meeting held during the week of May 29 to June 2, 1989, at St. John’s College in Santa Fe under the auspices of the Santa Fe Institute. The (approximately 40) official participants as well as equally numerous “groupies” were enticed to Santa Fe by the above “manifesto.” The book—like the “Complexity, Entropy and the Physics of Information” meeting explores not only the connections between quantum and classical physics, information and its transfer, computation, and their significance for the formulation of physical theories, but it also considers the origins and evolution of the information-processing entities, their complexity, and the manner in which they analyze their perceptions to form models of the Universe. As a result, the contributions can be divided into distinct sections only with some difficulty. Indeed, I regard this degree of overlapping as a measure of the success of the meeting. It signifies consensus about the important questions and on the anticipated answers: they presumably lie somewhere in the “border territory,” where information, physics, complexity, quantum, and computation all meet.

Kolmogorov Complexity and Algorithmic Randomness

Author : A. Shen
Publisher :
ISBN 13 : 9781470440831
Total Pages : 534 pages
Book Rating : 4.4/5 (48 download)

DOWNLOAD NOW!

Book Synopsis Kolmogorov Complexity and Algorithmic Randomness by : A. Shen

Download or read book Kolmogorov Complexity and Algorithmic Randomness written by A. Shen and published by . This book was released on 2017 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt: Looking at a sequence of zeros and ones, we often feel that it is not random, that is, it is not plausible as an outcome of fair coin tossing. Why? The answer is provided by algorithmic information theory: because the sequence is compressible, that is, it has small complexity or, equivalently, can be produced by a short program. This idea, going back to Solomonoff, Kolmogorov, Chaitin, Levin, and others, is now the starting point of algorithmic information theory. The first part of this book is a textbook-style exposition of the basic notions of complexity and randomness; the second part cover.

Illusionism

Author : Keith Frankish
Publisher : Andrews UK Limited
ISBN 13 : 1845409663
Total Pages : 364 pages
Book Rating : 4.8/5 (454 download)

DOWNLOAD NOW!

Book Synopsis Illusionism by : Keith Frankish

Download or read book Illusionism written by Keith Frankish and published by Andrews UK Limited. This book was released on 2017-11-14 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: Illusionism is the view that phenomenal consciousness (in the philosophers' sense) is an illusion. This book is a reprint of a special issue of the Journal of Consciousness Studies devoted to this topic. It takes the form of a target paper by the editor, followed by commentaries from various thinkers, including leading defenders of the theory such as Daniel Dennett, Nicholas Humphrey, Derk Pereboom and Georges Rey. A number of disciplines are represented and different viewpoints are discussed and defended. The colleciton is tied together with a response to the commentaries from the editor.

Universal Artificial Intelligence

Author : Marcus Hutter
Publisher : Springer Science & Business Media
ISBN 13 : 3540268774
Total Pages : 294 pages
Book Rating : 4.5/5 (42 download)

DOWNLOAD NOW!

Book Synopsis Universal Artificial Intelligence by : Marcus Hutter

Download or read book Universal Artificial Intelligence written by Marcus Hutter and published by Springer Science & Business Media. This book was released on 2005-12-29 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: Personal motivation. The dream of creating artificial devices that reach or outperform human inteUigence is an old one. It is also one of the dreams of my youth, which have never left me. What makes this challenge so interesting? A solution would have enormous implications on our society, and there are reasons to believe that the AI problem can be solved in my expected lifetime. So, it's worth sticking to it for a lifetime, even if it takes 30 years or so to reap the benefits. The AI problem. The science of artificial intelligence (AI) may be defined as the construction of intelligent systems and their analysis. A natural definition of a system is anything that has an input and an output stream. Intelligence is more complicated. It can have many faces like creativity, solving prob lems, pattern recognition, classification, learning, induction, deduction, build ing analogies, optimization, surviving in an environment, language processing, and knowledge. A formal definition incorporating every aspect of intelligence, however, seems difficult. Most, if not all known facets of intelligence can be formulated as goal driven or, more precisely, as maximizing some utility func tion. It is, therefore, sufficient to study goal-driven AI; e. g. the (biological) goal of animals and humans is to survive and spread. The goal of AI systems should be to be useful to humans.