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» Kolmogorov Complexity in Randomness Extraction
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APAL
2004
84views more  APAL 2004»
10 years 1 months ago
The Kolmogorov complexity of random reals
We investigate the initial segment complexity of random reals. Let K( ) denote pre
Liang Yu, Decheng Ding, Rodney G. Downey
ICALP
2007
Springer
10 years 7 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»
10 years 6 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»
10 years 6 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
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