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Texts in Computer Science

An Introduction to Kolmogorov Complexity and Its Applications

Authors: Li, Ming, Vitányi, Paul

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  • Develops Kolmogorov theory in detail, and outlines a wide range of illustrative applications
  • Examines major results from prominent researchers in the field
  • Details the practical application of KC in the similarity metric and information diameter of multisets in phylogeny, language trees, music, heterogeneous files, and clustering
  • Includes new and updated material on the Miller-Yu theorem, the Gács-Kučera theorem, the Day-Gács theorem, the Lovász local lemma, and the Slepian-Wolf theorem
  • Discusses short lists computable from an input string containing the incomputable Kolmogorov complexity of the input
  • Covers topics of increasing randomness, sorting, multiset normalized information distance and normalized web distance, and conditional universal distribution
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書籍の購入

イーブック ¥8,984
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • ISBN 978-3-030-11298-1
  • ウォーターマーク付、 DRMフリー
  • ファイル形式: PDF
  • どの電子書籍リーダーからでもすぐにお読みいただけます。
  • ご購入後、すぐにダウンロードしていただけます。
ハードカバー ¥11,231
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • ISBN 978-3-030-11297-4
  • 個人のお客様には、世界中どこでも配送料無料でお届けします。
  • Usually dispatched within 3 to 5 business days.
この教本について

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.

著者について

Dr. Paul M.B. Vitányi is a CWI Fellow at the Netherlands National Research Institute for Mathematics and Computer Science (CWI), and a Professor of Computer Science at the University of Amsterdam. Dr. Ming Li is Canada Research Chair in Bioinformatics and University Professor at the University of Waterloo, ON, Canada.

ビデオ

Table of contents (8 chapters)

Table of contents (8 chapters)

書籍の購入

イーブック ¥8,984
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • ISBN 978-3-030-11298-1
  • ウォーターマーク付、 DRMフリー
  • ファイル形式: PDF
  • どの電子書籍リーダーからでもすぐにお読みいただけます。
  • ご購入後、すぐにダウンロードしていただけます。
ハードカバー ¥11,231
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • ISBN 978-3-030-11297-4
  • 個人のお客様には、世界中どこでも配送料無料でお届けします。
  • Usually dispatched within 3 to 5 business days.
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書誌情報

Bibliographic Information
Book Title
An Introduction to Kolmogorov Complexity and Its Applications
Authors
Series Title
Texts in Computer Science
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Ming Li and Paul Vitányi
イーブック ISBN
978-3-030-11298-1
DOI
10.1007/978-3-030-11298-1
ハードカバー ISBN
978-3-030-11297-4
Series ISSN
1868-0941
Edition Number
4
Number of Pages
XXIII, 834
Number of Illustrations
1 b/w illustrations
Topics