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arXiv 1302.0215cs.ITmath.IT
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乘积分布的信息发散近似

Informational Divergence Approximations to Product Distributions

Jie Hou, Gerhard Kramer

摘要:

基于非标准化的信息发散,精确地近似产品分布所需的最小速率被证明是一个互信息。这个结果包含了Wyner关于公共信息的结果和Han-Verdú关于可分解性的结果。该结果还扩展到源分布未知但熵已知的情况。

英文摘要:

The minimum rate needed to accurately approximate a product distribution based on an unnormalized informational divergence is shown to be a mutual information. This result subsumes results of Wyner on common information and Han-Verdú on resolvability. The result also extends to cases where the source distribution is unknown but the entropy is known.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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