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
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
Algorithmic information theory (redirect from Kolmogorov-Chaitin information theory)
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
Occam's razor (redirect from Complexity (fallacy))
"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
Computability theory (section Kolmogorov complexity)
area. The field of Kolmogorov complexity and algorithmic randomness was developed during the 1960s and 1970s by Chaitin, Kolmogorov, Levin, Martin-Löf...
54 KB (6,419 words) - 18:43, 10 June 2024
theory and applications of Kolmogorov complexity. They co-authored the textbook An Introduction to Kolmogorov Complexity and Its Applications, parts...
7 KB (571 words) - 02:16, 13 June 2024