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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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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)  
Keyword(1) dripping water  
Keyword(2) return plot  
Keyword(3) dimension reduction  
Keyword(4) manifold learning  
Keyword(5) kernel methods  
Keyword(6) outliers  
Keyword(7)  
Keyword(8)  
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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