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CIE
2011
Springer
8 years 9 months ago
Towards an Axiomatic System for Kolmogorov Complexity
Abstract. In [She82], it is shown that four of its basic functional properties are enough to characterize plain Kolmogorov complexity, hence obtaining an axiomatic characterization...
Antoine Taveneaux
TIT
2010
107views Education» more  TIT 2010»
9 years 4 months ago
Rate distortion and denoising of individual data using Kolmogorov complexity
We examine the structure of families of distortion balls from the perspective of Kolmogorov complexity. Special attention is paid to the canonical rate-distortion function of a so...
Nikolai K. Vereshchagin, Paul M. B. Vitányi
TCS
2010
9 years 4 months ago
Information measures for infinite sequences
We revisit the notion of computational depth and sophistication for infinite sequences and study the density of the sets of deep and sophisticated infinite sequences. Koppel defin...
Luis Filipe Coelho Antunes, Andre Souto
CORR
2011
Springer
172views Education» more  CORR 2011»
9 years 4 months ago
Possibilities and impossibilities in Kolmogorov complexity extraction
Randomness extraction is the process of constructing a source of randomness of high quality from one or several sources of randomness of lower quality. The problem can be modeled ...
Marius Zimand
CORR
2010
Springer
144views Education» more  CORR 2010»
9 years 7 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
SIAMCOMP
1998
102views more  SIAMCOMP 1998»
9 years 9 months ago
L-Printable Sets
A language is L-printable if there is a logspace algorithm which, on input 1n, prints all members in the language of length n. Following the work of Allender and Rubinstein [SIAM J...
Lance Fortnow, Judy Goldsmith, Matthew A. Levy, St...
RSA
2000
104views more  RSA 2000»
9 years 9 months ago
Construction of expanders and superconcentrators using Kolmogorov complexity
We show the existence of various versions of expander graphs using Kolmogorov complexity. This method seems superior to the usual probabilistic construction. It turns out that the...
Uwe Schöning
CORR
2004
Springer
110views Education» more  CORR 2004»
9 years 9 months ago
Shannon Information and Kolmogorov Complexity
The elementary theories of Shannon information and Kolmogorov complexity are cmpared, the extent to which they have a common purpose, and where they are fundamentally different. T...
Peter Grünwald, Paul M. B. Vitányi
CORR
2006
Springer
127views Education» more  CORR 2006»
9 years 9 months ago
Approximating Rate-Distortion Graphs of Individual Data: Experiments in Lossy Compression and Denoising
Classical rate-distortion theory requires knowledge of an elusive source distribution. Instead, we analyze rate-distortion properties of individual objects using the recently devel...
Steven de Rooij, Paul M. B. Vitányi
FUIN
2008
108views more  FUIN 2008»
9 years 9 months ago
A Simple Proof of Miller-Yu Theorem
A few years ago a nice criterion of Martin-L
Laurent Bienvenu, Wolfgang Merkle, Alexander Shen
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