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» Increasing Kolmogorov Complexity
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STACS
2005
Springer
13 years 10 months ago
Increasing Kolmogorov Complexity
Harry Buhrman, Lance Fortnow, Ilan Newman, Nikolai...
COCO
2007
Springer
94views Algorithms» more  COCO 2007»
13 years 11 months ago
Low-Depth Witnesses are Easy to Find
Antunes, Fortnow, van Melkebeek and Vinodchandran captured the notion of non-random information by computational depth, the difference between the polynomialtime-bounded Kolmogoro...
Luis Antunes 0002, Lance Fortnow, Alexandre Pinto,...
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
CORR
2004
Springer
110views Education» more  CORR 2004»
13 years 4 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
2011
Springer
172views Education» more  CORR 2011»
12 years 12 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