熵力不等式下的最优运输

2017 Information Theory and Applications Workshop (ITA) Pub Date : 2017-01-30 DOI:10.1109/ITA.2017.8023467

O. Rioul

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引用次数: 11

摘要

我们用一个简单的变量变换形式的最优输运论证，给出了熵功率不等式的一个简单证明。同样的论点产生了一个涉及条件微分熵的反向不等式，它有自己的兴趣。它也可以以各种方式推广。用这种方法可以很容易地捕捉到等式的情况，并且证明在一维和多维上形式上是相同的。

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Optimal transportation to the entropy-power inequality

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.

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2017 Information Theory and Applications Workshop (ITA)

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