Paper Abstract and Keywords |
Presentation |
2009-05-26 10:05
A Tight Upper Bound on the Hitting and the Cover times of Metropolis Walks Yoshiaki Nonaka, Hirotaka Ono, Kunihiko Sadakane, Masafumi Yamashita (Kyushu Univ) COMP2009-10 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
andom walks on finite graphs are random token circulation on graphs. Random walks such that token moves to adjacent vertices with uniformprobability are called standard random walk. For any graph with $n$ vertices, the hitting time and the cover times of standard random walk are bounded by $O(n^3)$. In this report, we would like to show the hitting and the cover times of Metropolis walks are bounded by $O(fn^2)$ and $O(fn^2\log n)$ respectively. Where, $f$ is the maximum ratio of stationary distribution. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
random walk / hitting time / cover time / Metropolis-Hastings algorithm / Markov chain / / / |
Reference Info. |
IEICE Tech. Rep., vol. 109, no. 54, COMP2009-10, pp. 9-12, May 2009. |
Paper # |
COMP2009-10 |
Date of Issue |
2009-05-19 (COMP) |
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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COMP2009-10 |
Conference Information |
Committee |
COMP |
Conference Date |
2009-05-26 - 2009-05-26 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Saitama Univ. |
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(See Japanese page) |
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Paper Information |
Registration To |
COMP |
Conference Code |
2009-05-COMP |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
A Tight Upper Bound on the Hitting and the Cover times of Metropolis Walks |
Sub Title (in English) |
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Keyword(1) |
random walk |
Keyword(2) |
hitting time |
Keyword(3) |
cover time |
Keyword(4) |
Metropolis-Hastings algorithm |
Keyword(5) |
Markov chain |
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1st Author's Name |
Yoshiaki Nonaka |
1st Author's Affiliation |
Kyushu University (Kyushu Univ) |
2nd Author's Name |
Hirotaka Ono |
2nd Author's Affiliation |
Kyushu University (Kyushu Univ) |
3rd Author's Name |
Kunihiko Sadakane |
3rd Author's Affiliation |
Kyushu University (Kyushu Univ) |
4th Author's Name |
Masafumi Yamashita |
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Kyushu University (Kyushu Univ) |
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Speaker |
Author-1 |
Date Time |
2009-05-26 10:05:00 |
Presentation Time |
35 minutes |
Registration for |
COMP |
Paper # |
COMP2009-10 |
Volume (vol) |
vol.109 |
Number (no) |
no.54 |
Page |
pp.9-12 |
#Pages |
4 |
Date of Issue |
2009-05-19 (COMP) |
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