某些f -散度之间的关系

2019 57th Annual Allerton Conference on Communication, Control, and Computing (Allerton) Pub Date : 2019-09-01 DOI:10.1109/ALLERTON.2019.8919677

J. Melbourne, M. Madiman, M. Salapaka

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引用次数: 10

摘要

我们研究了熵泛函的凹性缺陷。给出了偏散度的一些性质，并引入了“偏”散度。这些f -散度和其他散度之间的各种关系被建立起来，包括一个反向Pinsker型不等式的偏散度，这反过来又产生了一个锐化的上边界的熵凹性赤字。

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Relationships between certain f -divergences

We investigate the concavity deficit of the entropy functional. Some properties of the skew-divergence are developed and a “skew” $\chi^{2}$ divergence is introduced. Various relationships between these f - divergences and others are established, including a reverse Pinsker type inequality for the skew divergence, which in turn yields a sharpening on the upper bound for the entropic concavity deficit.

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2019 57th Annual Allerton Conference on Communication, Control, and Computing (Allerton)

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