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» The Kolmogorov complexity of random reals
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ICALP
2007
Springer
13 years 11 months ago
Reconciling Data Compression and Kolmogorov Complexity
While data compression and Kolmogorov complexity are both about effective coding of words, the two settings differ in the following respect. A compression algorithm or compressor...
Laurent Bienvenu, Wolfgang Merkle
COCO
2003
Springer
93views Algorithms» more  COCO 2003»
13 years 10 months ago
The complexity of stochastic sequences
We review and slightly strengthen known results on the Kolmogorov complexity of prefixes of effectively random sequences. First, there are recursively random random sequences su...
Wolfgang Merkle
COCO
2004
Springer
121views Algorithms» more  COCO 2004»
13 years 10 months ago
Lower Bounds for Randomized and Quantum Query Complexity Using Kolmogorov Arguments
We prove a very general lower bound technique for quantum and randomized query complexity, that is easy to prove as well as to apply. To achieve this, we introduce the use of Kolm...
Sophie Laplante, Frédéric Magniez
APAL
2006
67views more  APAL 2006»
13 years 4 months ago
On partial randomness
If x = x1x2
Cristian S. Calude, Ludwig Staiger, Sebastiaan Ter...
CORR
2011
Springer
147views Education» more  CORR 2011»
12 years 11 months ago
Symmetry of information and bounds on nonuniform randomness extraction via Kolmogorov extractors
We prove a strong Symmetry of Information relation for random strings (in the sense of Kolmogorov complexity) and establish tight bounds on the amount on nonuniformity that is nec...
Marius Zimand