Presentation 2018-03-08
Evaluation of the Worst-Case Redundancy of Strongly Universal FV Source Codes Using the Source Approximation and the Asymptotically Sufficient Statistic
Mitsuharu Arimura, Hiroshi Nagaoka,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) The universality of some variations of two-step lossless source codes using asymptotically sufficient statistics were proved by the authors. However, the theorem to show the weak universality could not be used to prove the strong universality. In this paper, a new theorem is established, and it is shown that the strong universality can be proved by combining the source approximation and the theorem which was used to show the weak universality in the previous result. Some two-step source codes including the MPM code and the two-step LZ78 code are proved to be strongly universal using the new theorem.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Source Coding / Universal Code / Redundancy / Sufficient Statistic / Asymptotically Sufficient Statistic / LZ78 Code / MPM Code
Paper # IT2017-106,ISEC2017-94,WBS2017-87
Date of Issue 2018-03-01 (IT, ISEC, WBS)

Conference Information
Committee WBS / IT / ISEC
Conference Date 2018/3/8(2days)
Place (in Japanese) (See Japanese page)
Place (in English) Katsusika Campas, Tokyo University of Science
Topics (in Japanese) (See Japanese page)
Topics (in English) joint meeting of IT, ISEC, and WBS
Chair Fumiaki Maehara(Waseda Univ.) / Masayoshi Ohashi(Fukuoka Univ.) / Kazuto Ogawa(NHK)
Vice Chair Masanori Hamamura(Kochi Univ. of Tech.) / Fumie Ono(NICT) / Jun Muramatsu(NTT) / Atsushi Fujioka(Kanagawa Univ.) / Shiho Moriai(NICT)
Secretary Masanori Hamamura(Mitsubishi Electric) / Fumie Ono(Ibaraki Univ.) / Jun Muramatsu(Yokohama College of Commerce) / Atsushi Fujioka(UEC) / Shiho Moriai(Tohoku Univ.)
Assistant Akira Nakamura(Tokyo Univ. of Science) / Ryohei Nakamura(National Defense Academy) / Sigeaki Kuzuoka(wakayama univ.) / Keita Emura(NICT) / Yuichi Komano(TOSHIBA) / Yuuji Suga(IIJ)

Paper Information
Registration To Technical Committee on Wideband System / Technical Committee on Information Theory / Technical Committee on Information Security
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Evaluation of the Worst-Case Redundancy of Strongly Universal FV Source Codes Using the Source Approximation and the Asymptotically Sufficient Statistic
Sub Title (in English)
Keyword(1) Source Coding
Keyword(2) Universal Code
Keyword(3) Redundancy
Keyword(4) Sufficient Statistic
Keyword(5) Asymptotically Sufficient Statistic
Keyword(6) LZ78 Code
Keyword(7) MPM Code
1st Author's Name Mitsuharu Arimura
1st Author's Affiliation Shonan Institute of Technology(Shonan Inst. Tech.)
2nd Author's Name Hiroshi Nagaoka
2nd Author's Affiliation University of Electro-Communications(Univ. of Electro-Comm.)
Date 2018-03-08
Paper # IT2017-106,ISEC2017-94,WBS2017-87
Volume (vol) vol.117
Number (no) IT-487,ISEC-488,WBS-489
Page pp.pp.19-24(IT), pp.19-24(ISEC), pp.19-24(WBS),
#Pages 6
Date of Issue 2018-03-01 (IT, ISEC, WBS)