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» The Kolmogorov complexity of random reals
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CORR
2010
Springer
154views Education» more  CORR 2010»
13 years 7 months ago
Causal Markov condition for submodular information measures
The causal Markov condition (CMC) is a postulate that links observations to causality. It describes the conditional independences among the observations that are entailed by a cau...
Bastian Steudel, Dominik Janzing, Bernhard Sch&oum...
CORR
2008
Springer
95views Education» more  CORR 2008»
13 years 7 months ago
Depth as Randomness Deficiency
Depth of an object concerns a tradeoff between computation time and excess of program length over the shortest program length required to obtain the object. It gives an unconditio...
Luis Antunes 0002, Armando Matos, Andre Souto, Pau...
CCA
2009
Springer
14 years 2 months ago
Separations of Non-monotonic Randomness Notions
In the theory of algorithmic randomness, several notions of random sequence are defined via a game-theoretic approach, and the notions that received most attention are perhaps Mar...
Laurent Bienvenu, Rupert Hölzl, Thorsten Kr&a...
EUROGP
2001
Springer
103views Optimization» more  EUROGP 2001»
13 years 12 months ago
Computational Complexity, Genetic Programming, and Implications
Recent theory work has shown that a Genetic Program (GP) used to produce programs may have output that is bounded above by the GP itself [l]. This paper presents proofs that show t...
Bart Rylander, Terence Soule, James A. Foster
CSR
2011
Springer
12 years 11 months ago
Improving the Space-Bounded Version of Muchnik's Conditional Complexity Theorem via "Naive" Derandomization
Abstract. Many theorems about Kolmogorov complexity rely on existence of combinatorial objects with specific properties. Usually the probabilistic method gives such objects with b...
Daniil Musatov