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Titlebook: An Introduction to Kolmogorov Complexity and Its Applications; Ming Li,Paul Vitányi Textbook 19972nd edition Springer Science+Business Med

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發(fā)表于 2025-3-21 16:05:58 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
期刊全稱An Introduction to Kolmogorov Complexity and Its Applications
影響因子2023Ming Li,Paul Vitányi
視頻videohttp://file.papertrans.cn/156/155305/155305.mp4
學(xué)科分類Texts in Computer Science
圖書封面Titlebook: An Introduction to Kolmogorov Complexity and Its Applications;  Ming Li,Paul Vitányi Textbook 19972nd edition Springer Science+Business Med
影響因子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 m
Pindex Textbook 19972nd edition
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Springer Science+Business Media New York 1997
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https://doi.org/10.1007/978-3-663-19131-5 would like to call .. On the other hand, we regard . as a more general concept than inductive inference, namely, as a process of reassigning a probability (or credibility) to a law or proposition from the observation of particular instances.
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https://doi.org/10.1007/978-3-7091-5445-8s of information processing and for application of complexity to physics issues. Physicists have used complexity arguments in a variety of settings like information distance, thermodynamics, chaos, biology, and philosophy. We touch briefly upon several themes, but focus on three main issues.
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Die Bedeutung der Wasseruntersuchung,articular type of dodo) rather than in relation to a set of objects from which the individual object may be selected. To do so, one could define the quantity of information in an object in terms of the number of bits required to describe it. A description of an object is evidently only useful if we
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