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Paper Abstract and Keywords
Presentation 2012-01-26 15:40
Averaging Over the Compact Stiefel Manifold
Tetsuya Kaneko, Toshihisa Tanaka (TUAT), Simone Fiori (UNIVPM) SIP2011-91 RCS2011-280
Abstract (in Japanese) (See Japanese page) 
(in English) It is useful to exploit an empirical mean from a dataset to smooth-out data and to alleviate measurement errors and random fluctuations.
In this paper, three different averaging algorithms on the compact Stiefel manifold are constructed.
These methods are operations exploiting the relationship between either a manifold and its tangent space or a Lie group and its Lie algebra.
Comparison of convergence between constructed methods and examination of computational burden due to the difference of calculations are performed by numerical experiments.
Keyword (in Japanese) (See Japanese page) 
(in English) Stiefel manifold / Averaging on matrix manifold / Matrix retraction / Matrix lifting / / / /  
Reference Info. IEICE Tech. Rep., vol. 111, no. 403, SIP2011-91, pp. 79-84, Jan. 2012.
Paper # SIP2011-91 
Date of Issue 2012-01-19 (SIP, RCS) 
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 SIP2011-91 RCS2011-280

Conference Information
Committee RCS SIP  
Conference Date 2012-01-26 - 2012-01-27 
Place (in Japanese) (See Japanese page) 
Place (in English) Fukuoka Univ. 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Signal Processing for Wireless Systems, etc. 
Paper Information
Registration To SIP 
Conference Code 2012-01-RCS-SIP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Averaging Over the Compact Stiefel Manifold 
Sub Title (in English)  
Keyword(1) Stiefel manifold  
Keyword(2) Averaging on matrix manifold  
Keyword(3) Matrix retraction  
Keyword(4) Matrix lifting  
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Keyword(6)  
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1st Author's Name Tetsuya Kaneko  
1st Author's Affiliation Tokyo University of Agriculture and Technology (TUAT)
2nd Author's Name Toshihisa Tanaka  
2nd Author's Affiliation Tokyo University of Agriculture and Technology (TUAT)
3rd Author's Name Simone Fiori  
3rd Author's Affiliation Universita Plitecnica delle Marche (UNIVPM)
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Speaker Author-1 
Date Time 2012-01-26 15:40:00 
Presentation Time 25 minutes 
Registration for SIP 
Paper # SIP2011-91, RCS2011-280 
Volume (vol) vol.111 
Number (no) no.403(SIP), no.404(RCS) 
Page pp.79-84 
#Pages 6 
Date of Issue 2012-01-19 (SIP, RCS) 

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