Algorithmic information theory (AIT) is a branch of theoretical computer science that concerns itself with the relationship between computation and information...
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algorithmic complexity theory, algorithmic information theory and information-theoretic security. Applications of fundamental topics of information theory...
69 KB (8,508 words) - 04:47, 12 July 2025
In algorithmic information theory, algorithmic probability, also known as Solomonoff probability, is a mathematical method of assigning a prior probability...
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Ray Solomonoff (category American information theorists)
first described algorithmic probability in 1960, publishing the theorem that launched Kolmogorov complexity and algorithmic information theory. He first described...
23 KB (3,038 words) - 10:31, 25 February 2025
Algorithmic game theory (AGT) is an interdisciplinary field at the intersection of game theory and computer science, focused on understanding and designing...
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Gregory Chaitin (category American information theorists)
Beginning in the late 1960s, Chaitin made contributions to algorithmic information theory and metamathematics, in particular a computer-theoretic result...
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learning theory and algorithmic inductive inference[citation needed]. Algorithmic learning theory is different from statistical learning theory in that...
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systems from an algorithmic point of view Algorithmic number theory, algorithms for number-theoretic computation Algorithmic game theory, game-theoretic...
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unknown algorithm. This is also called a theory of induction. Due to its basis in the dynamical (state-space model) character of Algorithmic Information Theory...
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Kolmogorov complexity (redirect from Algorithmic complexity theory)
In algorithmic information theory (a subfield of computer science and mathematics), the Kolmogorov complexity of an object, such as a piece of text, is...
60 KB (7,896 words) - 07:35, 21 July 2025
information theory include source coding, algorithmic complexity theory, algorithmic information theory, and information-theoretic security. There is another...
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This is a list of information theory topics. A Mathematical Theory of Communication algorithmic information theory arithmetic coding channel capacity Communication...
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later-proposed minimum description length principle in algorithmic information theory (AIT), a.k.a. the theory of Kolmogorov complexity, it can be seen as a formalization...
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Theoretical computer science (redirect from Computer science theory)
quantum computation, automata theory, information theory, cryptography, program semantics and verification, algorithmic game theory, machine learning, computational...
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Peter Gacs (category American information theorists)
computation, randomness in computing, algorithmic complexity, algorithmic probability, and information theory. Peter Gacs attended high school in his...
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content manipulated by algorithmic curation to control the population and minimize organic human activity. Proponents of the theory believe these social...
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Chaitin's constant (category Algorithmic information theory)
In the computer science subfield of algorithmic information theory, a Chaitin constant (Chaitin omega number) or halting probability is a real number that...
18 KB (2,319 words) - 08:25, 6 July 2025
Undecidable problem (redirect from Algorithmic insolubility)
statements in algorithmic information theory and proved another incompleteness theorem in that setting. Chaitin's theorem states that for any theory that can...
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Algorithmic complexity may refer to: In algorithmic information theory, the complexity of a particular string in terms of all algorithms that generate...
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Bit (redirect from Bit of information)
storage or received. The field of algorithmic information theory is devoted to the study of the irreducible information content of a string (i.e., its shortest-possible...
24 KB (2,871 words) - 22:24, 8 July 2025
Minimum description length (category Algorithmic information theory)
short descriptions, relates to the Bayesian Information Criterion (BIC). Within Algorithmic Information Theory, where the description length of a data sequence...
21 KB (2,932 words) - 10:53, 24 June 2025
more likely to trust and follow algorithmic advice over human recommendations, a phenomenon referred to as algorithm appreciation. Understanding these...
29 KB (3,396 words) - 13:28, 24 June 2025
Integrated information theory (IIT) proposes a mathematical model for the consciousness of a system. It comprises a framework ultimately intended to explain...
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Andrey Kolmogorov (category Russian information theorists)
probability theory. He also contributed to the mathematics of topology, intuitionistic logic, turbulence, classical mechanics, algorithmic information theory and...
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Universality probability (category Algorithmic information theory)
computability theory and algorithmic information theory. It was shown that when the underlying machine is universal, these numbers are highly algorithmically random...
10 KB (1,107 words) - 21:54, 26 May 2025
Binary combinatory logic (category Algorithmic information theory)
John (April 2023). "Functional Bits: Lambda Calculus based Algorithmic Information Theory" (PDF). tromp.github.io. John's Lambda Calculus and Combinatory...
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Complexity (category Chaos theory)
measures. In algorithmic information theory, the Kolmogorov complexity (also called descriptive complexity, algorithmic complexity or algorithmic entropy)...
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theory Computational geometry Computational number theory Computational topology Computational statistics Algorithmic information theory Algorithmic game...
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Randomness (section In information science)
mid-to-late-20th century, ideas of algorithmic information theory introduced new dimensions to the field via the concept of algorithmic randomness. Although randomness...
34 KB (4,303 words) - 14:32, 26 June 2025
Kolmogorov structure function (category Algorithmic information theory)
therefore an algorithmic sufficient statistic. We write `algorithmic' for `Kolmogorov complexity' by convention. The main properties of an algorithmic sufficient...
17 KB (2,704 words) - 18:56, 26 May 2025