TY - GEN
T1 - Optimal transportation to the entropy-power inequality
AU - Rioul, Olivier
N1 - Publisher Copyright:
© 2017 IEEE.
PY - 2017/8/30
Y1 - 2017/8/30
N2 - We present a simple proof of the entropy-power inequality using an optimal transportation argument which takes the form of a simple change of variables. The same argument yields a reverse inequality involving a conditional differential entropy which has its own interest. It can also be generalized in various ways. The equality case is easily captured by this method and the proof is formally identical in one and several dimensions.
AB - We present a simple proof of the entropy-power inequality using an optimal transportation argument which takes the form of a simple change of variables. The same argument yields a reverse inequality involving a conditional differential entropy which has its own interest. It can also be generalized in various ways. The equality case is easily captured by this method and the proof is formally identical in one and several dimensions.
UR - https://www.scopus.com/pages/publications/85028083333
U2 - 10.1109/ITA.2017.8023467
DO - 10.1109/ITA.2017.8023467
M3 - Conference contribution
AN - SCOPUS:85028083333
T3 - 2017 Information Theory and Applications Workshop, ITA 2017
BT - 2017 Information Theory and Applications Workshop, ITA 2017
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2017 Information Theory and Applications Workshop, ITA 2017
Y2 - 12 February 2017 through 17 February 2017
ER -