{"product_id":"an-introduction-to-kolmogorov-complexity-and-its-applications-hardcover","title":"An Introduction to Kolmogorov Complexity and Its Applications - Hardcover","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eMing Li\u003c\/b\u003e (Author), \u003cb\u003ePaul Vitányi\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eWritten 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.\u003c\/p\u003e\u003ch3\u003eBack Jacket\u003c\/h3\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis 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.\u003c\/p\u003e\u003cp\u003eThis 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.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eTopics and features: \u003c\/b\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003eDescribes the mathematical theory of KC, including the theories of algorithmic complexity and algorithmic probability\u003c\/li\u003e\n\u003cli\u003ePresents a general theory of inductive reasoning and its applications, and reviews the utility of the incompressibility method\u003c\/li\u003e\n\u003cli\u003eCovers 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\u003c\/li\u003e\n\u003cli\u003eDiscusses the many applications of resource-bounded KC, and examines different physical theories from a KC point of view\u003c\/li\u003e\n\u003cli\u003eIncludes numerous examples that elaborate the theory, and a range of exercises of varying difficulty (with solutions)\u003c\/li\u003e\n\u003cli\u003eOffers explanatory asides on technical issues, and extensive historical sections\u003c\/li\u003e\n\u003cli\u003eSuggests structures for several one-semester courses in the preface\u003c\/li\u003e\n\u003c\/ul\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eAs 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.\u003c\/p\u003e\u003cp\u003e\"\u003ci\u003eLi and Vitányi have provided an ideal book for the exploration of a deep, beautiful and important part of computer science\u003c\/i\u003e.\"\u003cbr\u003e-- \u003cb\u003eJuris Hartmanis\u003c\/b\u003e, Turing Award Winner 1993, Cornell University, Ithaca, NY.\u003c\/p\u003e\u003cp\u003e\"\u003ci\u003eThe book is likely to remain the standard treatment of Kolmogorov complexity for a long time.\u003c\/i\u003e\"\u003cbr\u003e-- \u003cb\u003eJorma J. Rissanen\u003c\/b\u003e, IBM Research, California.\u003c\/p\u003e\u003cp\u003e\"\u003ci\u003eThe book of Li and Vitányi is unexcelled.\u003c\/i\u003e\"\u003cbr\u003e-- \u003cb\u003eRay J. Solomonoff\u003c\/b\u003e, Oxbridge Research, Cambridge, Massachusetts.\u003c\/p\u003e\u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003e\u003cb\u003eDr. Paul M.B. Vitányi\u003c\/b\u003e 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. \u003cb\u003eDr. Ming Li\u003c\/b\u003e is Canada Research Chair in Bioinformatics and University Professor at the University of Waterloo, ON, Canada.\u003cbr\u003e---\u003cbr\u003eTextbook \u0026amp; Academic Authors Association 2020 McGuffey Longevity Award Winner!\u003cbr\u003eThe judges said: \u003cbr\u003e\"\u003cem\u003eAn Introduction to Kolmogorov complexity and Its Applications\u003c\/em\u003e has been an outstanding textbook and comprehensive reference for on information complexity for over twenty years. This new edition continues that tradition by laying a terrific foundation in the early chapters for the more advanced theories and concepts that follow. Each new theorem and corollary flows naturally and logically from what came before.\"\u003cbr\u003e\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 834\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 1.6 x 10.16 x 7.2 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e June 26, 2019\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52492966986035,"sku":"9783030112974","price":185.18,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0300\/5595\/6612\/files\/TjNNNVFMQko5QVBjSmNsbWFuUzVwdz09.webp?v=1759946384","url":"https:\/\/www.vysn.com\/products\/an-introduction-to-kolmogorov-complexity-and-its-applications-hardcover","provider":"VYSN","version":"1.0","type":"link"}