| Presentation | 2019-03-07 Analysis of Zero-Redundancy Estimator with a Finite Window for Markovian Source Yusuke Hashimoto, Tstutomu Kawabata, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | A Bayesian (Laplace or Krichevski-Trofimov) estimator for Markov source can be used to build a losslesssource code. However it achieves the first order asymptotic optimal redundancy, only when the actual predictiveprobabilities are all positive. In the other case, that is when the actual alphabet is unknown, we can modify theestimator into a zero-redundancy estimator. We have previously applied the idea in the finite window setting, andhave shown the first order asymptotic optimality of the redundancy, when the probability is positive on an unknownalphabet. Our work further proposes an estimator, in the same finite window setting, when the actual alphabet arestate wise unkown, which we believe is a useful case, and claims without proof the first order asymptotic optimalityof the redundancy. In this paper, we prove the last claim. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Markov source / lossless source coding / finite window / asymptotic redundancy / zero-redundancy estimator |
| Paper # | IT2018-89,ISEC2018-95,WBS2018-90 |
| Date of Issue | 2019-02-28 (IT, ISEC, WBS) |
| Conference Information | |
| Committee | IT / ISEC / WBS |
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| Conference Date | 2019/3/7(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | University of Electro-Communications |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | joint meeting of IT, ISEC, and WBS |
| Chair | Jun Muramatsu(NTT) / Atsushi Fujioka(Kanagawa Univ.) / Minoru Okada(NAIST) |
| Vice Chair | Tadashi Wadayama(Nagoya Inst. of Tech.) / Shiho Moriai(NICT) / Shoichi Hirose(Univ. of Fukui) / Koji Ohuchi(Shizuoka Univ.) / Kenichi Takizawa(NICT) |
| Secretary | Tadashi Wadayama(Nagano Pref Inst. of Tech.) / Shiho Moriai(UEC) / Shoichi Hirose(Tokai Univ.) / Koji Ohuchi(NICT) / Kenichi Takizawa(Ibaraki Univ.) |
| Assistant | Takahiro Yoshida(Yokohama College of Commerce) / Kazunari Omote(Tsukuba Univ.) / Yuuji Suga(IIJ) / Ryohei Nakamura(National Defense Academy) / Duong Quang Thang(NAIST) |
| Paper Information | |
| Registration To | Technical Committee on Information Theory / Technical Committee on Information Security / Technical Committee on Wideband System |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Analysis of Zero-Redundancy Estimator with a Finite Window for Markovian Source |
| Sub Title (in English) | When the Statewise Alphabets are Unknown |
| Keyword(1) | Markov source |
| Keyword(2) | lossless source coding |
| Keyword(3) | finite window |
| Keyword(4) | asymptotic redundancy |
| Keyword(5) | zero-redundancy estimator |
| 1st Author's Name | Yusuke Hashimoto |
| 1st Author's Affiliation | Univeristy of Electro-Communications(Univ. of Electro-Comm.) |
| 2nd Author's Name | Tstutomu Kawabata |
| 2nd Author's Affiliation | Univeristy of Electro-Communications(Univ. of Electro-Comm.) |
| Date | 2019-03-07 |
| Paper # | IT2018-89,ISEC2018-95,WBS2018-90 |
| Volume (vol) | vol.118 |
| Number (no) | IT-477,ISEC-478,WBS-479 |
| Page | pp.pp.85-90(IT), pp.85-90(ISEC), pp.85-90(WBS), |
| #Pages | 6 |
| Date of Issue | 2019-02-28 (IT, ISEC, WBS) |