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Electronic Colloquium on Computational Complexity

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REPORTS > AUTHORS > VLADIMIR VYUGIN:
All reports by Author Vladimir Vyugin:

TR01-052 | 26th April 2001
Mikhail V. Vyugin, Vladimir Vyugin

Non-linear Inequalities between Predictive and Kolmogorov Complexity

Predictive complexity is a generalization of Kolmogorov complexity
which gives a lower bound to ability of any algorithm to predict
elements of a sequence of outcomes. A variety of types of loss
functions makes it interesting to study relations between corresponding
predictive complexities.

Non-linear inequalities between predictive complexity of ... more >>>


TR01-043 | 26th April 2001
Mikhail V. Vyugin, Vladimir Vyugin

Predictive complexity and information

A new notion of predictive complexity and corresponding amount of
information are considered.
Predictive complexity is a generalization of Kolmogorov complexity
which bounds the ability of any algorithm to predict elements of
a sequence of outcomes. We consider predictive complexity for a wide class
of bounded loss functions which ... more >>>




ISSN 1433-8092 | Imprint