Paper Abstract and Keywords |
Presentation |
2011-03-10 14:20
A Manifold Learning Approach for Analyzing Chaos in A Dripping Faucet System Hiromichi Suetani (Kagoshima Univ./JST/RIKEN), Hiroki Kuroiwa, Hiroki Hata (Kagoshima Univ.), Shotaro Akaho (AIST) NLP2010-173 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
Dripping water from a faucet is very familiar to us and it provides various nonlinear phenomena including chaos. When its dynamics is sufficiently low dimensional, the essential information about the system is contained in time intervals between successive drippings. Its return plot, however, often takes a form of multi-valued function which causes us difficulty to understand the dripping water as a deterministic dynamical system. In the present study, we employ ISOMAP to extract a new coordinate from finite samples lying on a string-like manifold in the time-delay embedding space, which enables us to describe the dynamics of the dripping water as a one-dimensional map. Here, in order to improve the conventional ISOMAP, we propose an approach based on RANSAC to prune misconnected edges in the neighboring graph. We demonstrate usufullness of our proposed approach by applying it to simulation data of a mass-spring model for the dripping faucet. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
dripping water / return plot / dimension reduction / manifold learning / kernel methods / outliers / / |
Reference Info. |
IEICE Tech. Rep., vol. 110, no. 465, NLP2010-173, pp. 57-62, March 2011. |
Paper # |
NLP2010-173 |
Date of Issue |
2011-03-03 (NLP) |
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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NLP2010-173 |
Conference Information |
Committee |
NLP |
Conference Date |
2011-03-10 - 2011-03-11 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Tokyo University of Science |
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
General |
Paper Information |
Registration To |
NLP |
Conference Code |
2011-03-NLP |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
A Manifold Learning Approach for Analyzing Chaos in A Dripping Faucet System |
Sub Title (in English) |
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Keyword(1) |
dripping water |
Keyword(2) |
return plot |
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dimension reduction |
Keyword(4) |
manifold learning |
Keyword(5) |
kernel methods |
Keyword(6) |
outliers |
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1st Author's Name |
Hiromichi Suetani |
1st Author's Affiliation |
Kagoshima University/JST/RIKEN-HYU (Kagoshima Univ./JST/RIKEN) |
2nd Author's Name |
Hiroki Kuroiwa |
2nd Author's Affiliation |
Kagoshima University (Kagoshima Univ.) |
3rd Author's Name |
Hiroki Hata |
3rd Author's Affiliation |
Kagoshima University (Kagoshima Univ.) |
4th Author's Name |
Shotaro Akaho |
4th Author's Affiliation |
Advanced Industrial Science and Technology (AIST) |
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Speaker |
Author-3 |
Date Time |
2011-03-10 14:20:00 |
Presentation Time |
25 minutes |
Registration for |
NLP |
Paper # |
NLP2010-173 |
Volume (vol) |
vol.110 |
Number (no) |
no.465 |
Page |
pp.57-62 |
#Pages |
6 |
Date of Issue |
2011-03-03 (NLP) |
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