Presentation 2016-03-10
Intrinsic Randomness Problem for Correlated General Sources
Tomohiko Uyematsu, Tetsunao Matsuta,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) Muramatsu et~al. considered the problem of generating statistically independent random numbers from two correlated memoryless sources by using independent mappings for two sources. They clarified the achievable rate region where a rate pair of two mappings must satisfy in order that the obtained random numbers are asymptotically uniform and statistically independent. In this paper, we extend their result to correlated general sources which may be non-stationary and/or nonergodic. Specifically, we employ two measures of approximation between the ideal and obtained probability distributions. One is the variational distance and the other is the normalized divergence. For both measures, we clarify the achievable rate region for correlated general sources in terms of the smooth min-entropy, and show that it coincides with that obtained by Muramatsu et~al. when the sources are memoryless.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) achievable rate region / general source / intrinsic randomness problem / smooth min-entropy
Paper # IT2015-111,ISEC2015-70,WBS2015-94
Date of Issue 2016-03-03 (IT, ISEC, WBS)

Conference Information
Committee IT / ISEC / WBS
Conference Date 2016/3/10(2days)
Place (in Japanese) (See Japanese page)
Place (in English) The University of Electro-Communications
Topics (in Japanese) (See Japanese page)
Topics (in English) joint meeting of IT, ISEC, and WBS
Chair Yasutada Oohama(Univ. of Electro-Comm.) / Yukiyasu Tsunoo(NEC) / Hiromasa Habuchi(Ibaraki Univ.)
Vice Chair Tadashi Wadayama(Nagoya Inst. of Tech.) / Masahiro Mambo(Kanazawa Univ.) / Kazuto Ogawa(NHK) / Fumiaki Maehara(Waseda Univ.) / Minoru Okada(NAIST)
Secretary Tadashi Wadayama(Univ. of Electro-Comm.) / Masahiro Mambo(Wakayama Univ.) / Kazuto Ogawa(AIST) / Fumiaki Maehara(Toshiba) / Minoru Okada(Univ. of Kitakyushu)
Assistant Takuya Kusaka(Okayama Univ.) / Tetsuya Izu(Fujitsu Lab.) / Takaaki Mizuki(Tohoku Univ.) / Noritaka Yamashita(NEC) / Yusuke Kozawa(Tokyo Univ. of Science) / Akira Nakamura(Tokyo Univ. of Science) / Ryohei Nakamura(National Defense Academy)

Paper Information
Registration To Technical Committee on Information Theory / Technical Committee on Information Security / Technical Committee on Wideband System
Language ENG-JTITLE
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Intrinsic Randomness Problem for Correlated General Sources
Sub Title (in English)
Keyword(1) achievable rate region
Keyword(2) general source
Keyword(3) intrinsic randomness problem
Keyword(4) smooth min-entropy
1st Author's Name Tomohiko Uyematsu
1st Author's Affiliation Tokyo Institute of Technology(Tokyo Tech.)
2nd Author's Name Tetsunao Matsuta
2nd Author's Affiliation Tokyo Institute of Technology(Tokyo Tech.)
Date 2016-03-10
Paper # IT2015-111,ISEC2015-70,WBS2015-94
Volume (vol) vol.115
Number (no) IT-500,ISEC-501,WBS-502
Page pp.pp.61-66(IT), pp.61-66(ISEC), pp.61-66(WBS),
#Pages 6
Date of Issue 2016-03-03 (IT, ISEC, WBS)