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...
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kinds of Kolmogorov complexity are studied: the uniform complexity, prefix complexity, monotone complexity, time-bounded Kolmogorov complexity, and space-bounded...
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mechanics, algorithmic information theory and computational complexity. Andrey Kolmogorov was born in Tambov, about 500 kilometers southeast of Moscow...
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that the Kolmogorov complexity is not computable. The proof by contradiction shows that if it were possible to compute the Kolmogorov complexity, then it...
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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...
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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...
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probability is closely related to the concept of Kolmogorov complexity. Kolmogorov's introduction of complexity was motivated by information theory and problems...
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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...
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program (that is, a computer program of small Kolmogorov complexity). Schmidhuber characterizes low-complexity art as the computer age equivalent of minimal...
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theory and applications of Kolmogorov complexity. They co-authored the textbook An Introduction to Kolmogorov Complexity and Its Applications, parts...
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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...
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known as algorithmic (Solomonoff–Kolmogorov–Chaitin, Kolmogorov or program-size) complexity together with Andrei Kolmogorov and Ray Solomonoff. Along with...
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correct, for example if sequences of lower Kolmogorov complexity are more probable than sequences of higher complexity, then (as is observed in real life) some...
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ingredients of the theory are the concepts of algorithmic probability and Kolmogorov complexity. The universal prior probability of any prefix p of a computable...
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{some\ c.e.} \ s\mathrm {-gale\ succeeds\ strongly\ on\ } X\}} . Kolmogorov complexity can be thought of as a lower bound on the algorithmic compressibility...
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extended Turing test. or by tests which are completely derived from Kolmogorov complexity. Other related tests in this line are presented by Hernandez-Orallo...
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a space of outcomes Ω. Dembski's proposed test is based on the Kolmogorov complexity of a pattern T that is exhibited by an event E that has occurred...
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linear complexity, provide spectral measures of randomness. T. Beth and Z-D. Dai purported to show that Kolmogorov complexity and linear complexity are practically...
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that is shorter than the string (Chaitin–Kolmogorov randomness); i.e. a string whose Kolmogorov complexity is at least the length of the string. This...
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scientists, Abraham Lempel and Jacob Ziv. This complexity measure is related to Kolmogorov complexity, but the only function it uses is the recursive...
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Kolmogorov complexity. Together with Leonid A. Levin, he established basic properties of prefix complexity including the formula for the complexity of...
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maximal Kolmogorov complexity. The Kolmogorov structure function of an individual data string expresses the relation between the complexity level constraint...
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indeed, this result is used to define the concept of randomness in Kolmogorov complexity. It is provably impossible to create an algorithm that can losslessly...
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For finite sequences, Kolmogorov defines randomness of a binary string of length n as the entropy (or Kolmogorov complexity) normalized by the length...
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humans perceive relevance, cognitive complexity is defined as an extension of the notion of Kolmogorov complexity. It amounts to the length of the shortest...
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language) is known as the Kolmogorov complexity of the output, and its mathematical study dates to the work of Andrey Kolmogorov in 1963. Code golf, however...
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Kolmogorov complexity is mildly hard on average. Since the existence of one-way functions implies that polynomial-time bounded Kolmogorov complexity is...
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algorithmic probability in 1960, publishing the theorem that launched Kolmogorov complexity and algorithmic information theory. He first described these results...
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Invariance of domain, a theorem in topology A theorem pertaining to Kolmogorov complexity A result in classical mechanics for adiabatic invariants A theorem...
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is a Canadian computer scientist, known for his contributions to Kolmogorov complexity, bioinformatics, machine learning theory, and analysis of algorithms...
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