Optimal Transport to the Entropy-Power Inequality and a Reverse Inequality
نویسنده
چکیده
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. For each inequality, the equality case is easily captured by this method and the proof is formally identical in one and several dimensions.
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ورودعنوان ژورنال:
- CoRR
دوره abs/1701.08534 شماره
صفحات -
تاریخ انتشار 2017