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Lower Bounds on Multivariate Higher Order Derivatives of Differential Entropy †
This paper studies the properties of the derivatives of differential entropy [Formula: see text] in Costa’s entropy power inequality. For real-valued random variables, Cheng and Geng conjectured that for [Formula: see text] , [Formula: see text] , while McKean conjectured a stronger statement, where...
| Autores principales: | , , |
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| Formato: | Online Artículo Texto |
| Lenguaje: | English |
| Publicado: |
MDPI
2022
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| Materias: | |
| Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9407166/ https://www.ncbi.nlm.nih.gov/pubmed/36010819 http://dx.doi.org/10.3390/e24081155 |