Minimax R\'enyi Redundancy
| Autor: | Yagli, Semih, Altuğ, Yücel, Verdú, Sergio |
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| Rok vydání: | 2017 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1109/TIT.2018.2803070 |
| Popis: | The redundancy for universal lossless compression of discrete memoryless sources in Campbell's setting is characterized as a minimax R\'enyi 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 R\'enyi divergence, which is determined up to a term vanishing in blocklength. Comment: Double-column, 19 pages, submitted for publication to IEEE Transactions on Information Theory. Disclaimer: the published version may have slight variations. Part of this work appeared in ISIT '17 |
| Databáze: | arXiv |
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