The Interplay between Error, Total Variation, Alpha-Entropy and Guessing: Fano and Pinsker Direct and Reverse Inequalities §

Using majorization theory via “Robin Hood” elementary operations, optimal lower and upper bounds are derived on Rényi and guessing entropies with respect to either error probability (yielding reverse-Fano and Fano inequalities) or total variation distance to the uniform (yielding reverse-Pinsker and...

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Detalles Bibliográficos
Autor principal: Rioul, Olivier
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2023
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10377982/
https://www.ncbi.nlm.nih.gov/pubmed/37509924
http://dx.doi.org/10.3390/e25070978

Internet

https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10377982/
https://www.ncbi.nlm.nih.gov/pubmed/37509924
http://dx.doi.org/10.3390/e25070978

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