2005Unpublished venueRequires access

Kolmogorov Complexity

Thomas M. Cover, Joy A. Thomas

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Abstract

This chapter contains sections titled: Models of Computation Kolmogorov Complexity: Definitions and Examples Kolmogorov Complexity and Entropy Kolmogorov Complexity of Integers Algorithmically Random and Incompressible Sequences Universal Probability Kolmogorov complexity Ω Universal Gambling Occam's Razor Kolmogorov Complexity and Universal Probability Kolmogorov Sufficient Statistic Minimum Description Length Principle Summary Problems Historical Notes

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What this paper is about

This chapter contains sections titled: Models of Computation Kolmogorov Complexity: Definitions and Examples Kolmogorov Complexity and Entropy Kolmogorov Complexity of Integers Algorithmically Random and Incompressible Sequences Universal Probability Kolmogorov complexity Ω Universal Gambling Occam's Razor Kolmogorov Complexity and Universal Probability Kolmogorov Sufficient Statistic Minimum Description Length Principle Summary Problems Historical Notes

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OpenAlex reports 4 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

This chapter contains sections titled: Models of Computation Kolmogorov Complexity: Definitions and Examples Kolmogorov Complexity and Entropy Kolmogorov Complexity of Integers Algorithmically Random and Incompressible Sequences Universal Probability Kolmogorov complexity Ω Universal Gambling Occam's Razor Kolmogorov Complexity and Universal Probability Kolmogorov Sufficient Statistic Minimum Description Length Principle Summary Problems Historical Notes

Key concepts: Kolmogorov complexity, Kolmogorov structure function, occam, Mathematics, Kolmogorov equations (Markov jump process), Statistic, Entropy (arrow of time), Occam's razor

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