TY - JOUR
T1 - On the entropy power inequality for the rényi entropy of order [0, 1]
AU - Marsiglietti, Arnaud
AU - Melbourne, James
N1 - Publisher Copyright:
© 1963-2012 IEEE.
PY - 2019/3
Y1 - 2019/3
N2 - Using a sharp version of the reverse Young inequality, and a Rényi entropy comparison result due to Fradelizi, Madiman, and Wang (2016), the authors derive Rényi entropy power inequalities for log-concave random vectors when Rényi parameters belong to [0, 1]. Furthermore, the estimates are shown to be sharp up to absolute constants.
AB - Using a sharp version of the reverse Young inequality, and a Rényi entropy comparison result due to Fradelizi, Madiman, and Wang (2016), the authors derive Rényi entropy power inequalities for log-concave random vectors when Rényi parameters belong to [0, 1]. Furthermore, the estimates are shown to be sharp up to absolute constants.
KW - Entropy power inequality
KW - Rényi entropy
KW - log-concave
UR - http://www.scopus.com/inward/record.url?scp=85055710993&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85055710993&partnerID=8YFLogxK
U2 - 10.1109/TIT.2018.2877741
DO - 10.1109/TIT.2018.2877741
M3 - Article
AN - SCOPUS:85055710993
SN - 0018-9448
VL - 65
SP - 1387
EP - 1396
JO - IEEE Transactions on Information Theory
JF - IEEE Transactions on Information Theory
IS - 3
M1 - 8502868
ER -