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Paper Abstract and Keywords
Presentation 2010-07-12 11:55
Analysis Using Space Embedded Equation in Moment Vector Space for High-dimensional Nonlinear System
Hideki Satoh (Future Univ. Hakodate) NLP2010-33
Abstract (in Japanese) (See Japanese page) 
(in English) A space embedded equation (SEE) has been developed for expressing an arbitrary high-dimensional target system as a low-dimensional equation. The target system is analyzed using the moment vector equation (MVE) of the SEE instead of the MVE itself. First, the high-dimensional state space of the target system is discretized into a finite discrete space. Next, an embedding from the discrete space to a low-dimensional discrete space is defined. The SEE of the target system is derived using the embedding. The dimension of the MVE increases geometrically with the dimension of the target system, so it is very difficult to analyze a high-dimensional system using its MVE. However, this ``curse of dimensionality" problem can be avoided by using the MVE of the SEE. This approach can be used to analyze various properties of high-dimensional nonlinear systems that could not previously be analyzed.
Keyword (in Japanese) (See Japanese page) 
(in English) nonlinear / MVE / dimensionality reduction / model reduction / discrete-state abstraction / / /  
Reference Info. IEICE Tech. Rep., vol. 110, no. 122, NLP2010-33, pp. 23-28, July 2010.
Paper # NLP2010-33 
Date of Issue 2010-07-05 (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)
Download PDF NLP2010-33

Conference Information
Committee NLP  
Conference Date 2010-07-12 - 2010-07-13 
Place (in Japanese) (See Japanese page) 
Place (in English) Ishikawa Prefectural Bunkyo Hall 
Topics (in Japanese) (See Japanese page) 
Topics (in English) General 
Paper Information
Registration To NLP 
Conference Code 2010-07-NLP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Analysis Using Space Embedded Equation in Moment Vector Space for High-dimensional Nonlinear System 
Sub Title (in English)  
Keyword(1) nonlinear  
Keyword(2) MVE  
Keyword(3) dimensionality reduction  
Keyword(4) model reduction  
Keyword(5) discrete-state abstraction  
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1st Author's Name Hideki Satoh  
1st Author's Affiliation Future University Hakodate (Future Univ. Hakodate)
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Speaker Author-1 
Date Time 2010-07-12 11:55:00 
Presentation Time 25 minutes 
Registration for NLP 
Paper # NLP2010-33 
Volume (vol) vol.110 
Number (no) no.122 
Page pp.23-28 
#Pages 6 
Date of Issue 2010-07-05 (NLP) 

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