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JSYML
2007
95views more  JSYML 2007»
15 years 12 days ago
Applications of Kolmogorov complexity to computable model theory
In this paper we answer the following well-known open question in computable model theory. Does there exist a computable not ℵ0-categorical saturated structure with a unique com...
Bakhadyr Khoussainov, Pavel Semukhin, Frank Stepha...
99
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DAGSTUHL
2006
15 years 1 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
87
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CORR
2008
Springer
115views Education» more  CORR 2008»
15 years 18 days 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
CORR
2010
Springer
144views Education» more  CORR 2010»
14 years 10 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
103
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JCSS
2011
95views more  JCSS 2011»
14 years 7 months ago
The pervasive reach of resource-bounded Kolmogorov complexity in computational complexity theory
Eric Allender, Michal Koucký, Detlef Ronneb...