Minimax Renyi Redundancy

arXiv (Cornell University)(2017)

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摘要
The redundancy for universal lossless compression in Campbell's setting is characterized as a minimax Renyi divergence, which is shown to be equal to the maximal alpha-mutual information via a generalized redundancy-capacity theorem. Special attention is placed on the analysis of the asymptotics of minimax Renyi divergence, which is determined up to a term vanishing in blocklength.
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关键词
Universal lossless compression,generalized redundancy-capacity theorem,minimax redundancy,minimax regret,Jeffreys' prior,risk aversion,Renyi divergence,alpha-mutual information
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