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» A Strange Application of Kolmogorov Complexity
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MST
1998
66views more  MST 1998»
13 years 5 months ago
A Strange Application of Kolmogorov Complexity
Daniel Hammer, Alexander Shen
CORR
2008
Springer
115views Education» more  CORR 2008»
13 years 5 months ago
Kolmogorov complexity in perspective
We survey diverse approaches to the notion of information: from Shannon entropy to Kolmogorov complexity. Two of the main applications of Kolmogorov complexity are presented: rand...
Marie Ferbus-Zanda, Serge Grigorieff
CAS
1999
60views more  CAS 1999»
13 years 5 months ago
Coincidences Are not Accidental: a Theorem
In this paper, we formalize and prove the statement that coincidences cannot be accidental, a statement that underlies many useful heuristics in mathematics and physics. Our proof...
Vladik Kreinovich
CORR
2010
Springer
144views Education» more  CORR 2010»
13 years 2 months ago
Kolmogorov Complexity in perspective. Part I: Information Theory and Randomnes
We survey diverse approaches to the notion of information: from Shannon entropy to Kolmogorov complexity. Two of the main applications of Kolmogorov complexity are presented: rand...
Marie Ferbus-Zanda, Serge Grigorieff
DAGSTUHL
2006
13 years 6 months ago
Application of Kolmogorov complexity and universal codes to identity testing and nonparametric testing of serial independence fo
We show that Kolmogorov complexity and such its estimators as universal codes (or data compression methods) can be applied for hypothesis testing in a framework of classical mathe...
Boris Ryabko, Jaakko Astola, Alexander Gammerman