The Case for Shifting the Rényi Entropy

Fecha

2019-01-09

Título de la revista

ISSN de la revista

Título del volumen

Editor

MDPI

Enlace externo

Resumen

We introduce a variant of the Rényi entropy definition that aligns it with the well-known Hölder mean: in the new formulation, the r-th order Rényi Entropy is the logarithm of the inverse of the r-th order Hölder mean. This brings about new insights into the relationship of the Rényi 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 Rényi entropies from the Shannon cross-entropy and the escort probabilities. Finally, we discuss why shifting the Rényi entropy is fruitful in some applications.

Descripción

This research was funded by the Spanish Government-MinECo projects TEC2014-53390-P and TEC2017-84395-P.

Citación

Valverde-Albacete, F.J.; Peláez-Moreno, C. The Case for Shifting the Rényi Entropy. Entropy 2019, 21, 46. https://doi.org/10.3390/e21010046
license logo
Excepto si se señala otra cosa, la licencia del ítem se describe como Attribution 4.0 International