论文标题

熵不平等和高斯比较

Entropy Inequalities and Gaussian Comparisons

论文作者

Aras, Efe, Courtade, Thomas A.

论文摘要

我们建立了一类一般的熵不平等,以高斯比较的简洁形式。主要结果统一了许多古典和最近的结果,包括香农 - 斯坦不平等,布鲁恩 - 康科夫斯基不平等,扎米尔·富德不平等,布拉斯帕姆·莱布和巴斯特不平等,anantharam-jog-nair不平等等等。

We establish a general class of entropy inequalities that take the concise form of Gaussian comparisons. The main result unifies many classical and recent results, including the Shannon-Stam inequality, the Brunn-Minkowski inequality, the Zamir-Feder inequality, the Brascamp-Lieb and Barthe inequalities, the Anantharam-Jog-Nair inequality, and others.

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