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Kolmogorov structure function

In 1973 Kolmogorov proposed a non-probabilistic approach to statistics and model selection. Let each data be a finite binary string and models be… Expand
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Papers overview

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2015
2015
Abstract For a finite word w of length n we define and study the Kolmogorov structure function h w for nondeterministic automatic… Expand
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2014
2014
For a finite word \(w\) of length \(n\) and a class of finite automata \(\mathcal A\), we study the Kolmogorov structure function… Expand
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2011
2011
The artifacts detection is a step of data cleaning process. The classical approach is to predict or determine the existence of… Expand
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2010
2010
In a recent series of papers, it was shown how the periodogram can be smoothed by thresholding the estimated cepstral… Expand
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2008
2008
We introduce algorithmic information theory, also known as the theory of Kolmogorov complexity. We explain the main concepts of… Expand
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2007
2007
Abstract Kolmogorov complexity measures the amount of information in a string as the size of the shortest program that computes… Expand
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2005
2005
Since the Sobolev set W r p , 0 < p < 1, in general is not contained in Lq , 0 < q ≤ ∞. We limit ourselves to the set W r p ∩ L… Expand
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2005
2005
Kolmogorov's structure function (KSF) is used in the algorithmic theory of complexity for describing the structure of a string by… Expand
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2002
2002
Two methods, the spectral and the covariance, are investigated and compared for generating phase screens for modeling the… Expand
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Highly Cited
2001
Highly Cited
2001
While Kolmogorov (1965, 1983) complexity is the accepted absolute measure of information content of an individual finite object… Expand
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