Paper Abstract and Keywords |
Presentation |
2011-03-04 12:00
Averaging matrices on Stiefel manifold Tetsuya Kaneko, Toshihisa Tanaka (Tokyo Univ. of Agric and Tech.) CAS2010-162 SIP2010-178 CS2010-132 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
Averaging operation on a differential manifold composed orthogonal and symmetric matrices are important in signal processing.
Averaging algorithm on Lie groups, which are differential manifold, have been constructed.
However, there is no report about averaging on rectangle orthogonal matrices, which does not form a Lie group.
In this paper, we construct an averaging algorithm on Stiefel manifold that is composed of rectangle orthogonal matrices.
The underlying idea behind the developed algorithms is that points on Stiefel manifolds are mapped onto a tangent space, where the average over mapped points is taken, and then the averaged point on the tangent space is projected back to Stiefel manifold.
We apply the methods to tracking eigenvectors and show alleviation of oscillation in the steady-state. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
Stiefel manifold / Lie group / averaging algorithm / eigenvector / steady-state / / / |
Reference Info. |
IEICE Tech. Rep., vol. 110, no. 440, SIP2010-178, pp. 353-358, March 2011. |
Paper # |
SIP2010-178 |
Date of Issue |
2011-02-24 (CAS, SIP, CS) |
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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CAS2010-162 SIP2010-178 CS2010-132 |
Conference Information |
Committee |
CS SIP CAS |
Conference Date |
2011-03-03 - 2011-03-04 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Ohhamanobumoto memorial hall (Ishigaki)( |
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
Network Processor, Signal Processing for Communications, Wireless LAN/PAN, etc. |
Paper Information |
Registration To |
SIP |
Conference Code |
2011-03-CS-SIP-CAS |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Averaging matrices on Stiefel manifold |
Sub Title (in English) |
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Keyword(1) |
Stiefel manifold |
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Lie group |
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averaging algorithm |
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eigenvector |
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steady-state |
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1st Author's Name |
Tetsuya Kaneko |
1st Author's Affiliation |
Tokyo University of Agriculture and Technology (Tokyo Univ. of Agric and Tech.) |
2nd Author's Name |
Toshihisa Tanaka |
2nd Author's Affiliation |
Tokyo University of Agriculture and Technology (Tokyo Univ. of Agric and Tech.) |
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Speaker |
Author-2 |
Date Time |
2011-03-04 12:00:00 |
Presentation Time |
20 minutes |
Registration for |
SIP |
Paper # |
CAS2010-162, SIP2010-178, CS2010-132 |
Volume (vol) |
vol.110 |
Number (no) |
no.439(CAS), no.440(SIP), no.441(CS) |
Page |
pp.353-358 |
#Pages |
6 |
Date of Issue |
2011-02-24 (CAS, SIP, CS) |
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