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...
55 KB (7,273 words) - 22:06, 22 August 2024
kinds of Kolmogorov complexity are studied: the uniform complexity, prefix complexity, monotone complexity, time-bounded Kolmogorov complexity, and space-bounded...
37 KB (4,443 words) - 14:44, 26 August 2024
mechanics, algorithmic information theory and computational complexity. Andrey Kolmogorov was born in Tambov, about 500 kilometers southeast of Moscow...
31 KB (2,790 words) - 15:02, 18 September 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 (1,669 words) - 23:26, 21 July 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 (2,582 words) - 21:36, 25 May 2024
Occam's razor (redirect from Complexity (fallacy))
for penalizing complexity in statistical inference. Papers have suggested a connection between Occam's razor and Kolmogorov complexity. One of the problems...
93 KB (10,780 words) - 04:46, 3 September 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 (771 words) - 07:47, 23 August 2024
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) - 10:46, 16 July 2024
extended Turing test. or by tests which are completely derived from Kolmogorov complexity. Other related tests in this line are presented by Hernandez-Orallo...
102 KB (12,484 words) - 22:40, 29 August 2024