Lecture Notes On Descriptional Complexity And Randomness
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Lecture Notes On Descriptional Complexity And Randomness
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Author : Peter Gacs
language : en
Publisher:
Release Date : 2014-11-11
Lecture Notes On Descriptional Complexity And Randomness written by Peter Gacs and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-11 with categories.
Lecture notes on descriptional complexity and randomnessBy Peter Gacs
Lecture Notes On Descriptional Complexity And Randomness
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Author : Boston University. Dept. of Computer Science
language : en
Publisher:
Release Date : 1987
Lecture Notes On Descriptional Complexity And Randomness written by Boston University. Dept. of Computer Science and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Computational complexity categories.
An Introduction To Kolmogorov Complexity And Its Applications
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Author : Ming Li
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
An Introduction To Kolmogorov Complexity And Its Applications written by Ming Li and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.
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).
Algorithmic Randomness And Complexity
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Author : Rodney G. Downey
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-10-29
Algorithmic Randomness And Complexity written by Rodney G. Downey and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-10-29 with Computers categories.
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.
Algorithms And Complexity
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Author : Bozzano G Luisa
language : en
Publisher: Elsevier
Release Date : 2014-06-28
Algorithms And Complexity written by Bozzano G Luisa and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-28 with Mathematics categories.
This first part presents chapters on models of computation, complexity theory, data structures, and efficient computation in many recognized sub-disciplines of Theoretical Computer Science.
Algorithms And Complexity
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Author : Jan Leeuwen
language : en
Publisher: Elsevier
Release Date : 1990-09-12
Algorithms And Complexity written by Jan Leeuwen and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-09-12 with Computers categories.
The second part of this Handbook presents a choice of material on the theory of automata and rewriting systems, the foundations of modern programming languages, logics for program specification and verification, and some chapters on the theoretic modelling of advanced information processing.
Information And Randomness
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Author : Cristian Calude
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Information And Randomness written by Cristian Calude and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Computers categories.
"Algorithmic information theory (AIT) is the result of putting Shannon's information theory and Turing's computability theory into a cocktail shaker and shaking vigorously", says G.J. Chaitin, one of the fathers of this theory of complexity and randomness, which is also known as Kolmogorov complexity. It is relevant for logic (new light is shed on Gödel's incompleteness results), physics (chaotic motion), biology (how likely is life to appear and evolve?), and metaphysics (how ordered is the universe?). This book, benefiting from the author's research and teaching experience in Algorithmic Information Theory (AIT), should help to make the detailed mathematical techniques of AIT accessible to a much wider audience.
Theory Of Information
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Author : Mark Burgin
language : en
Publisher: World Scientific
Release Date : 2010
Theory Of Information written by Mark Burgin and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Computers categories.
Presents a fresh approach to scientific understanding of information phenomena. Based on an analysis of information processes in nature, technology, and society, as well as on the main directions in information theory, this book offers a theory that synthesizes various directions into a unified system.
Mathematical Linguistics
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Author : Andras Kornai
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-16
Mathematical Linguistics written by Andras Kornai and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-16 with Mathematics categories.
Mathematical Linguistics introduces the mathematical foundations of linguistics to computer scientists, engineers, and mathematicians interested in natural language processing. The book presents linguistics as a cumulative body of knowledge from the ground up: no prior knowledge of linguistics is assumed. Previous textbooks in this area concentrate on syntax and semantics - this comprehensive volume covers an extremely rich array of topics also including phonology and morphology, probabilistic approaches, complexity, learnability, and the analysis of speech and handwriting. As the first textbook of its kind, this book is useful for those in information science (information retrieval and extraction, search engines) and in natural language technologies (speech recognition, optical character recognition, HCI). Exercises suitable for the advanced reader are included, as well as suggestions for further reading and an extensive bibliography.
Algorithmic Randomness
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Author : Johanna N. Y. Franklin
language : en
Publisher: Cambridge University Press
Release Date : 2020-05-07
Algorithmic Randomness written by Johanna N. Y. Franklin and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-07 with Computers categories.
Surveys on recent developments in the theory of algorithmic randomness and its interactions with other areas of mathematics.