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Conditional Kolmogorov Complexity and Universal Probability
Conditional Kolmogorov Complexity Universal Probability Information Theory
2012/6/21
The conditional in conditional Kolmogorov complexity commonly is taken to be a finite binary string. The Coding Theorem of L.A. Levin connects unconditional prefix Kolmogorov complexity with the discr...
Universal Prediction of Selected Bits
Sequence prediction Solomonoff induction online classification discriminative learning algorithmic information theory
2011/10/9
Abstract: Many learning tasks can be viewed as sequence prediction problems. For example, online classification can be converted to sequence prediction with the sequence being pairs of input/target da...
Differential Equations with Fractional Derivative and Universal Map with Memory
Fractional Derivative Universal Map Memory Chaotic Dynamics
2011/10/9
Abstract: Discrete maps with long-term memory are obtained from nonlinear differential equations with Riemann-Liouville and Caputo fractional derivatives. These maps are generalizations of the well-kn...