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Paper Abstract and Keywords
Presentation 2013-02-01 13:25
Mixed Retraction/Lifting Maps for Averaging Algorithms on the Compact Stiefel Manifold
Tetsuya Kaneko, Toshihisa Tanaka (TUAT), Simone Fiori (UNIVPM) SIP2012-106 RCS2012-263
Abstract (in Japanese) (See Japanese page) 
(in English) The present research work proposed a new fast fixed-point averaging algorithm on the compact Stiefel manifold based on a mixed retraction/lifting pair.
A numerical comparison between fixed-point algorithms based on the proposed non-associated retraction/lifting map pair and two associated retraction/lifting pairs confirms that the averaging algorithm based on a combination of mixed maps is computationally less demanding than the same averaging algorithm based on any of the associated retraction/lifting pairs.
Keyword (in Japanese) (See Japanese page) 
(in English) Chisini mean / Kolmogoroff-Nagumo mean / Averaging on matrix manifold / Matrix retraction/lifting / Stiefel manifold / / /  
Reference Info. IEICE Tech. Rep., vol. 112, no. 423, SIP2012-106, pp. 147-152, Jan. 2013.
Paper # SIP2012-106 
Date of Issue 2013-01-24 (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 SIP2012-106 RCS2012-263

Conference Information
Committee SIP RCS  
Conference Date 2013-01-31 - 2013-02-01 
Place (in Japanese) (See Japanese page) 
Place (in English) Viewport-Kure-Hotel (Kure) 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To SIP 
Conference Code 2013-01-SIP-RCS 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Mixed Retraction/Lifting Maps for Averaging Algorithms on the Compact Stiefel Manifold 
Sub Title (in English)  
Keyword(1) Chisini mean  
Keyword(2) Kolmogoroff-Nagumo mean  
Keyword(3) Averaging on matrix manifold  
Keyword(4) Matrix retraction/lifting  
Keyword(5) Stiefel manifold  
Keyword(6)  
Keyword(7)  
Keyword(8)  
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 2013-02-01 13:25:00 
Presentation Time 25 minutes 
Registration for SIP 
Paper # SIP2012-106, RCS2012-263 
Volume (vol) vol.112 
Number (no) no.423(SIP), no.424(RCS) 
Page pp.147-152 
#Pages 6 
Date of Issue 2013-01-24 (SIP, RCS) 

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