对称散度测度的紧界和关于f-散度的一个新不等式

2015 IEEE Information Theory Workshop (ITW) Pub Date : 2015-02-23 DOI:10.1109/ITW.2015.7133079

I. Sason

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引用次数: 14

摘要

介绍了几种对称散度测度的紧界，用总变差距离表示。这些边界中的每一个都是由一对2或3元素概率分布获得的。给出了这些边界在无损源编码中的应用，通过Csiszár对某个边界进行了细化和改进。导出了一个关于f-散度的不等式，并举例说明了它的用法。本次会议论文的最后一节没有被收录在最近的期刊论文[16]中，也有一些新的注释被链接到新的参考文献中。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Tight bounds for symmetric divergence measures and a new inequality relating f-divergences

Tight bounds for several symmetric divergence measures are introduced, given in terms of the total variation distance. Each of these bounds is attained by a pair of 2 or 3-element probability distributions. An application of these bounds for lossless source coding is provided, refining and improving a certain bound by Csiszár. A new inequality relating f-divergences is derived, and its use is exemplified. The last section of this conference paper is not included in the recent journal paper [16], as well as some new remarks that are linked to new references.

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2015 IEEE Information Theory Workshop (ITW)

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