An Introduction to Kolmogorov Complexity and Its Applications (Hardcover)

Ming Li

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Language: English

Published by Springer Nature Switzerland AG, Cham, 2019

3030112977 / 9783030112974

Series: Book 48 of 83 - Texts in Computer Science

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Hardcover. 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 Gacs-Kucera theorem, the Day-Gacs theorem, increasing randomness, short lists computable from an input string containing the incomputable Kolmogorov complexity of the input, the Lovasz 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.…

Seller Inventory # 9783030112974

Title
An Introduction to Kolmogorov Complexity and Its Applications (Hardcover)
Author
Ming Li
Publisher
Springer Nature Switzerland AG, Cham
Publication year
2019
Condition
new
Binding
Hardcover
Language
English
ISBN 10
3030112977
ISBN 13
9783030112974
Edition
4th Edition
Series
Book 48 of 83: Texts in Computer Science

Grand Eagle Retail

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