| Presentation | 2016-05-20 A Sharp Bound Between Two Arimoto's Conditional Renyi Entropies with Distinct Positive Orders Yuta Sakai, Ken-ichi Iwata, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | In information theory, information measures for random variables, such as the Shannon entropy and the R?nyi entropy, are fundamental amounts to mathematically examine communication systems. Besides their (unconditional) entropies, the concept of conditional entropies is commonly used to evaluate a sequence of correlated random variables. As fundamental techniques for analyzing mathematical models, bounds on these information measures are widely used in many fields, such as not only information theory but also statistics, pattern recognitions, machine learning, and cryptography. In this study, the conditional R?nyi entropy proposed by Arimoto is discussed, and sharp bounds between two conditional R?nyi entropies with distinct positive orders are examined. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | discrete probability distribution / Shannon entropy / R?nyi entropy / Arimoto’s conditional R?nyi entropy / expectation of $ell_{alpha}$-norm / Sharp bounds |
| Paper # | IT2016-11,EMM2016-11 |
| Date of Issue | 2016-05-12 (IT, EMM) |
| Conference Information | |
| Committee | IT / EMM |
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| Conference Date | 2016/5/19(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Otaru Economic Center |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | Information Security, Information Theory, Information Hiding, etc. |
| Chair | Yasutada Oohama(Univ. of Electro-Comm.) / Akinori Ito(Tohoku Univ.) |
| Vice Chair | Tadashi Wadayama(Nagoya Inst. of Tech.) / Masashi Unoki(JAIST) / Masaki Kawamura(Yamaguchi Univ.) |
| Secretary | Tadashi Wadayama(Univ. of Electro-Comm.) / Masashi Unoki(Wakayama Univ.) / Masaki Kawamura(Univ. of Electro-Comm.) |
| Assistant | Takuya Kusaka(Okayama Univ.) / Motoi Iwata(Osaka Pref. Univ.) / Kazuhiro Kohno(Kansai Univ.) |
| Paper Information | |
| Registration To | Technical Committee on Information Theory / Technical Committee on Enriched MultiMedia |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | A Sharp Bound Between Two Arimoto's Conditional Renyi Entropies with Distinct Positive Orders |
| Sub Title (in English) | |
| Keyword(1) | discrete probability distribution |
| Keyword(2) | Shannon entropy |
| Keyword(3) | R?nyi entropy |
| Keyword(4) | Arimoto’s conditional R?nyi entropy |
| Keyword(5) | expectation of $ell_{alpha}$-norm |
| Keyword(6) | Sharp bounds |
| 1st Author's Name | Yuta Sakai |
| 1st Author's Affiliation | University of Fukui(Univ. of Fukui) |
| 2nd Author's Name | Ken-ichi Iwata |
| 2nd Author's Affiliation | University of Fukui(Univ. of Fukui) |
| Date | 2016-05-20 |
| Paper # | IT2016-11,EMM2016-11 |
| Volume (vol) | vol.116 |
| Number (no) | IT-33,EMM-34 |
| Page | pp.pp.63-68(IT), pp.63-68(EMM), |
| #Pages | 6 |
| Date of Issue | 2016-05-12 (IT, EMM) |