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Electronic Colloquium on Computational Complexity

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REPORTS > KEYWORD > KULLBACK-LEIBLER DIVERGENCE:
Reports tagged with Kullback-Leibler divergence:
TR08-106 | 12th November 2008
Jack H. Lutz

A Divergence Formula for Randomness and Dimension

If $S$ is an infinite sequence over a finite alphabet $\Sigma$ and $\beta$ is a probability measure on $\Sigma$, then the {\it dimension} of $ S$ with respect to $\beta$, written $\dim^\beta(S)$, is a constructive version of Billingsley dimension that coincides with the (constructive Hausdorff) dimension $\dim(S)$ when $\beta$ is ... more >>>




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