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CAE
2007
13 years 7 months ago
Conceptualizing Birkhoff's Aesthetic Measure Using Shannon Entropy and Kolmogorov Complexity
In 1928, George D. Birkhoff introduced the Aesthetic Measure, defined as the ratio between order and complexity, and, in 1965, Max Bense analyzed Birkhoff's measure from an i...
Jaume Rigau, Miquel Feixas, Mateu Sbert
CJ
1999
76views more  CJ 1999»
13 years 5 months ago
Kolmogorov Complexity: Sources, Theory and Applications
Alexander Gammerman, Vladimir Vovk
CIE
2006
Springer
13 years 9 months ago
Lower Bounds Using Kolmogorov Complexity
Abstract. In this paper, we survey a few recent applications of Kolmogorov complexity to lower bounds in several models of computation. We consider KI complexity of Boolean functio...
Sophie Laplante
AGI
2008
13 years 6 months ago
A computational approximation to the AIXI model
Universal induction solves in principle the problem of choosing a prior to achieve optimal inductive inference. The AIXI theory, which combines control theory and universal induct...
Sergey Pankov
COCO
2000
Springer
112views Algorithms» more  COCO 2000»
13 years 9 months ago
Combinatorial Interpretation of Kolmogorov Complexity
Kolmogorov’s very first paper on algorithmic information theory (Kolmogorov, Problemy peredachi infotmatsii 1(1) (1965), 3) was entitled “Three approaches to the definition ...
Andrei E. Romashchenko, Alexander Shen, Nikolai K....