An Introduction To Kolmogorov Complexity And Its Applications

Download An Introduction To Kolmogorov Complexity And Its Applications full books in PDF, epub, and Kindle. Read online An Introduction To Kolmogorov Complexity And Its Applications ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

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 : 9780387948683
Total Pages : 670 pages
Book Rating : 4.9/5 (486 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 1997-02-27 with total page 670 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 :
ISBN 13 : 9781475726077
Total Pages : 660 pages
Book Rating : 4.7/5 (26 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 . This book was released on 2014-01-15 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Introduction to Kolmogorov Complexity and Its Applications

Author : Ming Li
Publisher : Springer Science & Business Media
ISBN 13 : 1475738609
Total Pages : 550 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 2013-04-18 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt: With this book, the authors are trying to present in a unified treatment an introduction to the central ideas and their applications of the Kolmogorov Complexity, the theory dealing with the quantity of information in individual objects. This book is appropriate for either a one- or two-semester introductory course in departments of computer science, mathematics, physics, probability theory and statistics, artificial intelligence, and philosophy. Although the mathematical theory of Kolmogorov complexity contains sophisticated mathematics, the amount of math one needs to know to apply the notions in widely divergent areas, is very little. The authors' purpose is to develop the theory in detail and outline a wide range of illustrative applications. This book is an attempt to grasp the mass of fragmented knowledge of this fascinating theory. Chapter 1 is a compilation of material on the diverse notations and disciplines we draw upon in order to make the book self-contained. The mathematical theory of Kolmogorov complexity is treated in chapters 2-4; the applications are treated in chapters 4-8.

Algorithmic Randomness and Complexity

Author : Rodney G. Downey
Publisher : Springer Science & Business Media
ISBN 13 : 0387684417
Total Pages : 855 pages
Book Rating : 4.3/5 (876 download)

DOWNLOAD NOW!

Book Synopsis Algorithmic Randomness and Complexity by : Rodney G. Downey

Download or read book Algorithmic Randomness and Complexity written by Rodney G. Downey and published by Springer Science & Business Media. This book was released on 2010-10-29 with total page 855 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computability and complexity theory are two central areas of research in theoretical computer science. This book provides a systematic, technical development of "algorithmic randomness" and complexity for scientists from diverse fields.

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.

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.

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.

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.

Advances in Minimum Description Length

Author : Peter D. Grünwald
Publisher : MIT Press
ISBN 13 : 9780262072625
Total Pages : 464 pages
Book Rating : 4.0/5 (726 download)

DOWNLOAD NOW!

Book Synopsis Advances in Minimum Description Length by : Peter D. Grünwald

Download or read book Advances in Minimum Description Length written by Peter D. Grünwald and published by MIT Press. This book was released on 2005 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: A source book for state-of-the-art MDL, including an extensive tutorial and recent theoretical advances and practical applications in fields ranging from bioinformatics to psychology.

Computational Complexity

Author : Sanjeev Arora
Publisher : Cambridge University Press
ISBN 13 : 0521424267
Total Pages : 609 pages
Book Rating : 4.5/5 (214 download)

DOWNLOAD NOW!

Book Synopsis Computational Complexity by : Sanjeev Arora

Download or read book Computational Complexity written by Sanjeev Arora and published by Cambridge University Press. This book was released on 2009-04-20 with total page 609 pages. Available in PDF, EPUB and Kindle. Book excerpt: New and classical results in computational complexity, including interactive proofs, PCP, derandomization, and quantum computation. Ideal for graduate students.

Computational Intelligence

Author : Rudolf Kruse
Publisher : Springer
ISBN 13 : 1447172965
Total Pages : 564 pages
Book Rating : 4.4/5 (471 download)

DOWNLOAD NOW!

Book Synopsis Computational Intelligence by : Rudolf Kruse

Download or read book Computational Intelligence written by Rudolf Kruse and published by Springer. This book was released on 2016-09-16 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a clear and logical introduction to the field, covering the fundamental concepts, algorithms and practical implementations behind efforts to develop systems that exhibit intelligent behavior in complex environments. This enhanced second edition has been fully revised and expanded with new content on swarm intelligence, deep learning, fuzzy data analysis, and discrete decision graphs. Features: provides supplementary material at an associated website; contains numerous classroom-tested examples and definitions throughout the text; presents useful insights into all that is necessary for the successful application of computational intelligence methods; explains the theoretical background underpinning proposed solutions to common problems; discusses in great detail the classical areas of artificial neural networks, fuzzy systems and evolutionary algorithms; reviews the latest developments in the field, covering such topics as ant colony optimization and probabilistic graphical models.

Fundamentals of Multimedia

Author : Ze-Nian Li
Publisher : Springer Science & Business Media
ISBN 13 : 331905290X
Total Pages : 727 pages
Book Rating : 4.3/5 (19 download)

DOWNLOAD NOW!

Book Synopsis Fundamentals of Multimedia by : Ze-Nian Li

Download or read book Fundamentals of Multimedia written by Ze-Nian Li and published by Springer Science & Business Media. This book was released on 2014-04-09 with total page 727 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook introduces the “Fundamentals of Multimedia”, addressing real issues commonly faced in the workplace. The essential concepts are explained in a practical way to enable students to apply their existing skills to address problems in multimedia. Fully revised and updated, this new edition now includes coverage of such topics as 3D TV, social networks, high-efficiency video compression and conferencing, wireless and mobile networks, and their attendant technologies. Features: presents an overview of the key concepts in multimedia, including color science; reviews lossless and lossy compression methods for image, video and audio data; examines the demands placed by multimedia communications on wired and wireless networks; discusses the impact of social media and cloud computing on information sharing and on multimedia content search and retrieval; includes study exercises at the end of each chapter; provides supplementary resources for both students and instructors at an associated website.

Computability and Randomness

Author : André Nies
Publisher : OUP Oxford
ISBN 13 : 0191627887
Total Pages : 450 pages
Book Rating : 4.1/5 (916 download)

DOWNLOAD NOW!

Book Synopsis Computability and Randomness by : André Nies

Download or read book Computability and Randomness written by André Nies and published by OUP Oxford. This book was released on 2012-03-29 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: The interplay between computability and randomness has been an active area of research in recent years, reflected by ample funding in the USA, numerous workshops, and publications on the subject. The complexity and the randomness aspect of a set of natural numbers are closely related. Traditionally, computability theory is concerned with the complexity aspect. However, computability theoretic tools can also be used to introduce mathematical counterparts for the intuitive notion of randomness of a set. Recent research shows that, conversely, concepts and methods originating from randomness enrich computability theory. The book covers topics such as lowness and highness properties, Kolmogorov complexity, betting strategies and higher computability. Both the basics and recent research results are desribed, providing a very readable introduction to the exciting interface of computability and randomness for graduates and researchers in computability theory, theoretical computer science, and measure theory.

Theory of Computation

Author : Dexter C. Kozen
Publisher : Springer Science & Business Media
ISBN 13 : 1846284775
Total Pages : 423 pages
Book Rating : 4.8/5 (462 download)

DOWNLOAD NOW!

Book Synopsis Theory of Computation by : Dexter C. Kozen

Download or read book Theory of Computation written by Dexter C. Kozen and published by Springer Science & Business Media. This book was released on 2006-09-19 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is uniquely written with dual purpose. It cover cores material in the foundations of computing for graduate students in computer science and also provides an introduction to some more advanced topics for those intending further study in the area. This innovative text focuses primarily on computational complexity theory: the classification of computational problems in terms of their inherent complexity. The book contains an invaluable collection of lectures for first-year graduates on the theory of computation. Topics and features include more than 40 lectures for first year graduate students, and a dozen homework sets and exercises.

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 : Bernd Reusch
Publisher : Springer
ISBN 13 :
Total Pages : 260 pages
Book Rating : 4.:/5 (321 download)

DOWNLOAD NOW!

Book Synopsis An Introduction to Kolmogorov Complexity and Its Applications by : Bernd Reusch

Download or read book An Introduction to Kolmogorov Complexity and Its Applications written by Bernd Reusch and published by Springer. This book was released on 1993 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.