Algorithmic Information Theory

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 computability theory into a cocktail shaker and shaking vigorously."

Read more about Algorithmic Information TheoryOverview, History, Precise Definitions, Specific Sequence

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Ray Solomonoff
... July 25, 1926 – December 7, 2009) was the inventor of algorithmic probability, and founder of algorithmic information theory, He was an originator of the branch of artificial ... Solomonoff first described algorithmic probability in 1960, publishing the crucial theorem that launched Kolmogorov complexity and algorithmic information theory. 1960, "A Preliminary Report on a General Theory of Inductive Inference." He clarified these ideas more fully in his 1964 publications, "A Formal Theory of Inductive Inference," Part I and Part II ...
Algorithmic Information Theory - Specific Sequence
... Algorithmic information theory (AIT) is the information theory of individual objects, using computer science, and concerns itself with the relationship between computation, information, and randomness ... The information content or complexity of an object can be measured by the length of its shortest description ... For instance the string More formally, the Algorithmic Complexity (AC) of a string x is defined as the length of the shortest program that computes or outputs x, where the program is run ...
Per Martin-Löf - Randomness and Kolmogorov Complexity
... Main article Algorithmically random sequence See also Kolmogorov complexity and Algorithmic information theory In 1964–65 Martin-Löf studied in Moscow under the supervision of ... Martin-Löf's key insight was to use the theory of computation to define formally the notion of a test for randomness ... This contrasts with the idea of randomness in probability in that theory, no particular element of a sample space can be said to be random ...

Famous quotes containing the words theory and/or information:

    A theory of the middle class: that it is not to be determined by its financial situation but rather by its relation to government. That is, one could shade down from an actual ruling or governing class to a class hopelessly out of relation to government, thinking of gov’t as beyond its control, of itself as wholly controlled by gov’t. Somewhere in between and in gradations is the group that has the sense that gov’t exists for it, and shapes its consciousness accordingly.
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    English literature is a kind of training in social ethics.... English trains you to handle a body of information in a way that is conducive to action.
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