期刊
HIGH DIMENSIONAL PROBABILITY VII: THE CARGESE VOLUME
卷 71, 期 -, 页码 45-60出版社
BIRKHAUSER VERLAG AG
DOI: 10.1007/978-3-319-40519-3_3
关键词
Concentration; Information; Log-concave; Varentropy
资金
- GeMeCoD [ANR 2011 BS01 007 01]
- U.S. National Science Foundation [DMS-1409504]
An elementary proof is provided of sharp bounds for the varentropy of random vectors with log-concave densities, as well as for deviations of the information content from its mean. These bounds significantly improve on the bounds obtained by Bobkov and Madiman (Ann Probab 39(4):1528-1543, 2011).
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