Presentation | 2016-03-10 Intrinsic Randomness Problem for Correlated General Sources Tomohiko Uyematsu, Tetsunao Matsuta, |
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PDF Download Page | PDF download Page Link |
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 |
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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 |
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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) |