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- W4289292140 abstract "We introduce a variant of the R'enyi entropy definition that aligns it with the well-known Holder mean: in the new formulation, the r-th order R'enyi Entropy is the logarithm of the inverse of the r-th order Holder mean. This brings about new insights into the relationship of the R'enyi entropy to quantities close to it, like the information potential and the partition function of statistical mechanics. We also provide expressions that allow us to calculate the R'enyi entropies from the Shannon cross-entropy and the escort probabilities. Finally, we discuss why shifting the R'enyi entropy is fruitful in some applications." @default.
- W4289292140 created "2022-08-02" @default.
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- W4289292140 date "2018-11-14" @default.
- W4289292140 modified "2023-09-28" @default.
- W4289292140 title "The case for shifting the Renyi Entropy" @default.
- W4289292140 doi "https://doi.org/10.48550/arxiv.1811.06122" @default.
- W4289292140 hasPublicationYear "2018" @default.
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