- Kolmogorov randomness
-
Informally, the property of a string being not longer than any computer program that can produce that string; that is, the property of a string being incompressible.
Wikipedia foundation.
Wikipedia foundation.
Kolmogorov complexity — In algorithmic information theory (a subfield of computer science), the Kolmogorov complexity of an object, such as a piece of text, is a measure of the computational resources needed to specify the object. It is named after Soviet Russian… … Wikipedia
Randomness — Random redirects here. For other uses, see Random (disambiguation). For a random Wikipedia article, see Special:Random. For information about Wikipedia s random article feature, see Wikipedia:Random. Randomness has somewhat differing meanings as… … Wikipedia
Randomness tests — (or tests of randomness), in data evaluation, are used to analyze the distribution pattern of a set of data. In stochastic modeling, as in some computer simulations, the expected random input data can be verified to show that tests were performed … Wikipedia
Andrey Kolmogorov — Infobox Scientist name = Andrey Kolmogorov birth date = birth date|1903|4|25 birth place = Tambov, Imperial Russia nationality = Russian death date = death date and age|1987|10|20|1903|4|25 death place = Moscow, USSR field = Mathematician work… … Wikipedia
algorithmic randomness — noun Informally, the property of a string being not longer than any computer program that can produce that string; that is, the property of a string being incompressible. Syn: Kolmogorov randomness See Also: statistical randomness … Wiktionary
Chain rule for Kolmogorov complexity — The chain rule for Kolmogorov complexity is an analogue of the chain rule for information entropy, which states: H(X,Y) = H(X) + H(Y | X) That is, the combined randomness of two sequences X and Y is the sum of the randomness of X plus whatever… … Wikipedia
Per Martin-Löf — in 2004 Born May 8, 1942 (194 … Wikipedia
Algorithmic information theory — is a subfield of information theory and computer science that concerns itself with the relationship between computation and information. According to Gregory Chaitin, it is the result of putting Shannon s information theory and Turing s… … Wikipedia
Random sequence — A random sequence is a kind of stochastic process. In short, a random sequence is a sequence of random variables. Random sequences are essential in statistics. The statistical analysis of any experiment usually begins with the words let X 1,...,… … Wikipedia
No free lunch in search and optimization — This article is about mathematical analysis of computing. For associated folklore, see No free lunch theorem. The problem is to rapidly find a solution among candidates a, b, and c that is as good as any other, where goodness is either 0 or 1.… … Wikipedia