Paper Abstract and Keywords |
Presentation |
2015-05-21 11:05
Analysis on Reliability Function and Strong Converse of Discrete Memoryless Biometrical Identification Systems Yachongka Vamoua, Hideki Yagi (Univ. of Electro-Comm.) IT2015-3 EMM2015-3 |
Abstract |
(in Japanese) |
(See Japanese page) |
(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) |
(in English) |
biometrical identification system / capacity / error probability / reliability function / strong converse / / / |
Reference Info. |
IEICE Tech. Rep., vol. 115, no. 37, IT2015-3, pp. 13-18, May 2015. |
Paper # |
IT2015-3 |
Date of Issue |
2015-05-14 (IT, EMM) |
ISSN |
Print edition: ISSN 0913-5685 Online edition: ISSN 2432-6380 |
Copyright and reproduction |
All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034) |
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IT2015-3 EMM2015-3 |
Conference Information |
Committee |
EMM IT |
Conference Date |
2015-05-21 - 2015-05-22 |
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. |
Paper Information |
Registration To |
IT |
Conference Code |
2015-05-EMM-IT |
Language |
English (Japanese title is available) |
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) |
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biometrical identification system |
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capacity |
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error probability |
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reliability function |
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strong converse |
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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 |
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The University of Electro-Communications (Univ. of Electro-Comm.) |
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Speaker |
Author-1 |
Date Time |
2015-05-21 11:05:00 |
Presentation Time |
25 minutes |
Registration for |
IT |
Paper # |
IT2015-3, EMM2015-3 |
Volume (vol) |
vol.115 |
Number (no) |
no.37(IT), no.38(EMM) |
Page |
pp.13-18 |
#Pages |
6 |
Date of Issue |
2015-05-14 (IT, EMM) |
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