In mathematics, the entropy power inequality is a result in information theory that relates to so-called "entropy power" of random variables. Itâ€¦Â (More)

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2017

2017

- Jiange Li
- ArXiv
- 2017

This paper is twofold. In the first part, we derive an improvement of the RÃ©nyi Entropy Power Inequality (EPI) recently obtainedâ€¦Â (More)

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2016

2016

- Thomas A. Courtade
- 2016 IEEE International Symposium on Informationâ€¦
- 2016

We tighten the entropy power inequality (EPI) when one of the random summands is Gaussian. Our strengthening is closely relatedâ€¦Â (More)

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2016

2016

- Sergey Bobkov, Arnaud Marsiglietti
- ArXiv
- 2016

An extension of the entropy power inequality to the form N r (X +Y ) â‰¥ N r (X) +N r (Y ) with arbitrary independent summands Xâ€¦Â (More)

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2015

2015

- Sergey Bobkov, Gennadiy P. Chistyakov
- IEEE Trans. Information Theory
- 2015

The classical entropy power inequality is extended to the RÃ©nyi entropy. We also discuss the question of the existence of theâ€¦Â (More)

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2015

2015

Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to theâ€¦Â (More)

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2015

2015

- Yuri M. Suhov, Salimeh Yasaei Sekeh
- ArXiv
- 2015

We analyse an analog of the entropy-power inequality for the weighted entropy. In particular, we discuss connections withâ€¦Â (More)

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2014

2014

- Liyao Wang, Mokshay M. Madiman
- IEEE Transactions on Information Theory
- 2014

A lower bound on the Rényi differential entropy of a sum of independent random vectors is demonstrated in terms ofâ€¦Â (More)

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2013

2013

- Hideitsu Hino
- 2013 IEEE International Workshop on Machineâ€¦
- 2013

Kernel methods have become a standard solution for a large number of data analysis, and extensively utilized in the field ofâ€¦Â (More)

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2008

2008

- Miquel PayarÃ³, Daniel PÃ©rez Palomar
- ISIT
- 2008

A simple multivariate version of Costaâ€™s entropy power inequality is proved. In particular, it is shown that if independent whiteâ€¦Â (More)

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1993

1993

- Ram Zamir, Meir Feder
- IEEE Trans. Information Theory
- 1993

We prove the following generalization of the Entropy Power Inequality: h(Ax) h(A~ x) where h() denotes (joint-) diierentialâ€¦Â (More)

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