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CORR
2010
Springer
141views Education» more  CORR 2010»
13 years 4 months ago
The Equivalence of Sampling and Searching
In a sampling problem, we are given an input x {0, 1} n , and asked to sample approximately from a probability distribution Dx over poly (n)-bit strings. In a search problem, we ...
Scott Aaronson
CORR
2008
Springer
116views Education» more  CORR 2008»
13 years 4 months ago
A statistical mechanical interpretation of algorithmic information theory
Abstract. We develop a statistical mechanical interpretation of algorithmic information theory by introducing the notion of thermodynamic quantities, such as free energy, energy, s...
Kohtaro Tadaki
COCO
2000
Springer
112views Algorithms» more  COCO 2000»
13 years 8 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....
ALT
2003
Springer
14 years 1 months ago
On the Existence and Convergence of Computable Universal Priors
Solomonoff unified Occam’s razor and Epicurus’ principle of multiple explanations to one elegant, formal, universal theory of inductive inference, which initiated the field...
Marcus Hutter
ICML
1999
IEEE
14 years 5 months ago
Machine-Learning Applications of Algorithmic Randomness
Most machine learning algorithms share the following drawback: they only output bare predictions but not the con dence in those predictions. In the 1960s algorithmic information t...
Volodya Vovk, Alexander Gammerman, Craig Saunders