Paper Abstract and Keywords |
Presentation |
2010-03-04 09:00
New Implementation and Evaluation of Knuth-Yao Algorithm and Interval Algorithm Shogo Takahashi, Hirosuke Yamamoto (Univ. of Tokyo) IT2009-89 ISEC2009-97 WBS2009-68 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
In this paper, new implementation algorithms are proposed for
Knuth-Yao algorithm and the Interval algorithm, which can generate
a sequence with an arbitrarily given discrete probability $P_Y(y)$
from a binary random sequences $\{X_i\}$.
The proposed algorithms don't require high precision in operation
and can achieve $P_Y(y)$ without error.
For the Interval algorithm, we derive the exact theoretical value of the average bit length ${\rm E}[L]$ of $X_i$ necessary to generate one symbol of $Y$
for $|{\cal Y}|=2$ and 3, where $|{\cal Y}|$ is the cardinality of alphabet of $Y$.
Furthermore, a new tight upper bound of ${\rm E}[L]$ is derived for $|{\cal Y}|\geq 4$. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
Knuth-Yao algorithm / interval algorithm / random number generation / / / / / |
Reference Info. |
IEICE Tech. Rep., vol. 109, no. 444, IT2009-89, pp. 117-122, March 2010. |
Paper # |
IT2009-89 |
Date of Issue |
2010-02-25 (IT, ISEC, WBS) |
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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IT2009-89 ISEC2009-97 WBS2009-68 |
Conference Information |
Committee |
IT ISEC WBS |
Conference Date |
2010-03-04 - 2010-03-05 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Nagano-Engineering Campus, Shinshu University |
Topics (in Japanese) |
(See Japanese page) |
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Paper Information |
Registration To |
IT |
Conference Code |
2010-03-IT-ISEC-WBS |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
New Implementation and Evaluation of Knuth-Yao Algorithm and Interval Algorithm |
Sub Title (in English) |
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Keyword(1) |
Knuth-Yao algorithm |
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interval algorithm |
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random number generation |
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1st Author's Name |
Shogo Takahashi |
1st Author's Affiliation |
The University of Tokyo (Univ. of Tokyo) |
2nd Author's Name |
Hirosuke Yamamoto |
2nd Author's Affiliation |
The University of Tokyo (Univ. of Tokyo) |
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Speaker |
Author-1 |
Date Time |
2010-03-04 09:00:00 |
Presentation Time |
25 minutes |
Registration for |
IT |
Paper # |
IT2009-89, ISEC2009-97, WBS2009-68 |
Volume (vol) |
vol.109 |
Number (no) |
no.444(IT), no.445(ISEC), no.446(WBS) |
Page |
pp.117-122 |
#Pages |
6 |
Date of Issue |
2010-02-25 (IT, ISEC, WBS) |
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