| Presentation | 2015-05-21 Analysis on Reliability Function and Strong Converse of Discrete Memoryless Biometrical Identification Systems Yachongka Vamoua, Hideki Yagi, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | The biometrical identification system, introduced by Willems et al., is a system to identify individuals based on measurable physical characteristics of each individual. Some of the most important factors on this system are rate of the number of individuals and identification error probability. The maximum value of identification error probability is called maximum error probability. Willems et al. have made clear that the identification capacity i.e. the maximum achievable rate of the number of individuals that can be distinguished with a vanishing error probability asymptotically, of a discrete memoryless system can be characterized from an information theoretic perspective. However, in proving the converse theorem, they provided a rigorous proof only for the case where each individual is uniformly distributed to be identified. In this paper, we investigate the reliability function of the system and show that it behaves in the same way as the well-known random coding error exponent. We also provide an explicit proof of the converse part provided that each individual is not uniformly distributed and the identification process is done without the knowledge of the prior distribution. In particular, we use Arimoto's argument to analyze a lower bound on the error probability, which also leads to the proof of the strong converse theorem for a non-uniform prior distribution. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | biometrical identification system / capacity / error probability / reliability function / strong converse |
| Paper # | IT2015-3,EMM2015-3 |
| Date of Issue | 2015-05-14 (IT, EMM) |
| Conference Information | |
| Committee | EMM / IT |
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| Conference Date | 2015/5/21(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Kyoto International Community House |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | Information Security, Information Theory, Information Hiding, etc. |
| Chair | Akinori Ito(Tohoku Univ.) / Yasutada Oohama(Univ. of Electro-Comm.) |
| Vice Chair | Masashi Unoki(JAIST) / Masaki Kawamura(Yamaguchi Univ.) / Tadashi Wadayama(Nagoya Inst. of Tech.) |
| Secretary | Masashi Unoki(Univ. of Electro-Comm.) / Masaki Kawamura(Nagasaki Univ.) / Tadashi Wadayama(Okayama Univ.) |
| Assistant | Motoi Iwata(Osaka Pref. Univ.) / Kazuhiro Kono(Kansai Univ.) / Ryo Nomura(Senshu Univ.) |
| Paper Information | |
| Registration To | Technical Committee on Enriched MultiMedia / Technical Committee on Information Theory |
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| Language | ENG-JTITLE |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Analysis on Reliability Function and Strong Converse of Discrete Memoryless Biometrical Identification Systems |
| Sub Title (in English) | |
| Keyword(1) | biometrical identification system |
| Keyword(2) | capacity |
| Keyword(3) | error probability |
| Keyword(4) | reliability function |
| Keyword(5) | strong converse |
| 1st Author's Name | Yachongka Vamoua |
| 1st Author's Affiliation | The University of Electro-Communications(Univ. of Electro-Comm.) |
| 2nd Author's Name | Hideki Yagi |
| 2nd Author's Affiliation | The University of Electro-Communications(Univ. of Electro-Comm.) |
| Date | 2015-05-21 |
| Paper # | IT2015-3,EMM2015-3 |
| Volume (vol) | vol.115 |
| Number (no) | IT-37,EMM-38 |
| Page | pp.pp.13-18(IT), pp.13-18(EMM), |
| #Pages | 6 |
| Date of Issue | 2015-05-14 (IT, EMM) |