• Thumbnail for Kolmogorov complexity
    information theory (a subfield of computer science and mathematics), the Kolmogorov complexity of an object, such as a piece of text, is the length of a shortest...
    54 KB (7,151 words) - 16:51, 27 May 2024
  • kinds of Kolmogorov complexity are studied: the uniform complexity, prefix complexity, monotone complexity, time-bounded Kolmogorov complexity, and space-bounded...
    36 KB (4,257 words) - 07:34, 23 January 2024
  • Thumbnail for Andrey Kolmogorov
    mechanics, algorithmic information theory and computational complexity. Andrey Kolmogorov was born in Tambov, about 500 kilometers south-southeast of...
    31 KB (2,780 words) - 13:49, 6 May 2024
  • that the Kolmogorov complexity is not computable. The proof by contradiction shows that if it were possible to compute the Kolmogorov complexity, then it...
    13 KB (1,670 words) - 06:58, 29 March 2024
  • machine used to define Kolmogorov complexity, but any choice gives identical asymptotic results because the Kolmogorov complexity of a string is invariant...
    22 KB (2,611 words) - 21:36, 25 May 2024
  • area. The field of Kolmogorov complexity and algorithmic randomness was developed during the 1960s and 1970s by Chaitin, Kolmogorov, Levin, Martin-Löf...
    54 KB (6,432 words) - 15:41, 4 February 2024
  • "Minimum Message Length and Kolmogorov Complexity." Nannen, Volker. "A short introduction to Model Selection, Kolmogorov Complexity and Minimum Description...
    93 KB (10,770 words) - 04:23, 15 May 2024
  • The chain rule[citation needed] for Kolmogorov complexity is an analogue of the chain rule for information entropy, which states: H ( X , Y ) = H ( X...
    5 KB (695 words) - 06:23, 24 July 2023
  • maximal Kolmogorov complexity. The Kolmogorov structure function of an individual data string expresses the relation between the complexity level constraint...
    17 KB (2,704 words) - 19:32, 3 October 2023
  • Thumbnail for Turing test
    extended Turing test. or by tests which are completely derived from Kolmogorov complexity. Other related tests in this line are presented by Hernandez-Orallo...
    100 KB (12,311 words) - 13:54, 26 May 2024