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arxiv: 1302.0215 · v3 · submitted 2013-02-01 · 💻 cs.IT · math.IT

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Informational Divergence Approximations to Product Distributions

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classification 💻 cs.IT math.IT
keywords distributiondivergenceinformationinformationalproductresultaccuratelyapproximate
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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-Verd\'{u} on resolvability. The result also extends to cases where the source distribution is unknown but the entropy is known.

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