Entropy power inequality

In mathematics, the entropy power inequality is a result in information theory that relates to so-called "entropy power" of random variables. It… (More)
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1984-2017
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2017
2017
This paper is twofold. In the first part, we derive an improvement of the Rényi Entropy Power Inequality (EPI) recently obtained… (More)
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2016
2016
We tighten the entropy power inequality (EPI) when one of the random summands is Gaussian. Our strengthening is closely related… (More)
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2016
2016
An extension of the entropy power inequality to the form N r (X +Y ) ≥ N r (X) +N r (Y ) with arbitrary independent summands X… (More)
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2015
2015
The classical entropy power inequality is extended to the Rényi entropy. We also discuss the question of the existence of the… (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 the… (More)
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2015
2015
We analyse an analog of the entropy-power inequality for the weighted entropy. In particular, we discuss connections with… (More)
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2014
2014
A lower bound on the Rényi differential entropy of a sum of independent random vectors is demonstrated in terms of… (More)
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2013
2013
Kernel methods have become a standard solution for a large number of data analysis, and extensively utilized in the field of… (More)
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2008
2008
A simple multivariate version of Costa’s entropy power inequality is proved. In particular, it is shown that if independent white… (More)
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1993
1993
We prove the following generalization of the Entropy Power Inequality: h(Ax) h(A~ x) where h() denotes (joint-) diierential… (More)
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