Information: Join today and make your research activities more affordable! Technical workshop participation fees and annual registration fees are available at member rates.
Notice: [Important] Announcement of Changes to Registration Fee Payment and Manuscript Upload Procedures for IEICE Technical Meetings
IEICE Technical Committee Submission System
Conference Paper's Information		 Online Proceedings
[Sign in]
Tech. Rep. Archives
 Go Top Page Go Previous   [Japanese] / [English] 

Paper Abstract and Keywords
Presentation 2023-08-07 14:45
[Invited Talk] On optimization over Stiefel manifold based on adaptive Cayley parametrization
Keita Kume, Isao Yamada (TokyoTech) SIP2023-50
Abstract (in Japanese) (See Japanese page) 
(in English) The Stiefel manifold, say St(p,N), is the set of all N-by-p matrices whose column vectors are orthonormal. Optimization problems over St(p,N) arise in signal processing and machine learning applications, e.g., finding the best (low-dimensional) subspace in some sense and its orthonormal basis. However, it has not been easy to establish computationally efficient algorithms for optimization over St(p,N) due to its severe nonlinearity. In this talk, we introduce our proposed generalized Cayley transform, which parameterizes a dense subset of St(p,N) in terms of a vector space. By using the generalized Cayley transform and by apdaptively changing its parameterizable subset, we also present a reformulation of an optimization problem over St(p,N) into more tractable optimization problems defined over multiple vector spaces. With the reformulation, we illustrate a computationally efficient strategy for optimization over St(p,N).
Keyword (in Japanese) (See Japanese page) 
(in English) Stiefel manifold / nonconvex optimization / Cayley transform / optimization over manifold / / / /  
Reference Info. IEICE Tech. Rep., vol. 123, no. 152, SIP2023-50, pp. 20-20, Aug. 2023.
Paper # SIP2023-50 
Date of Issue 2023-07-31 (SIP) 
ISSN 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 SIP2023-50

Conference Information
Committee SIP  
Conference Date 2023-08-07 - 2023-08-08 
Place (in Japanese) (See Japanese page) 
Place (in English) Osaka Univ. (Suita) Convention Center 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Signal processing, etc. 
Paper Information
Registration To SIP 
Conference Code 2023-08-SIP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) On optimization over Stiefel manifold based on adaptive Cayley parametrization 
Sub Title (in English)  
Keyword(1) Stiefel manifold  
Keyword(2) nonconvex optimization  
Keyword(3) Cayley transform  
Keyword(4) optimization over manifold  
Keyword(5)  
Keyword(6)  
Keyword(7)  
Keyword(8)  
1st Author's Name Keita Kume  
1st Author's Affiliation Tokyo Institute of Technology (TokyoTech)
2nd Author's Name Isao Yamada  
2nd Author's Affiliation Tokyo Institute of Technology (TokyoTech)
3rd Author's Name  
3rd Author's Affiliation ()
4th Author's Name  
4th Author's Affiliation ()
5th Author's Name  
5th Author's Affiliation ()
6th Author's Name  
6th Author's Affiliation ()
7th Author's Name  
7th Author's Affiliation ()
8th Author's Name  
8th Author's Affiliation ()
9th Author's Name  
9th Author's Affiliation ()
10th Author's Name  
10th Author's Affiliation ()
11th Author's Name  
11th Author's Affiliation ()
12th Author's Name  
12th Author's Affiliation ()
13th Author's Name  
13th Author's Affiliation ()
14th Author's Name  
14th Author's Affiliation ()
15th Author's Name  
15th Author's Affiliation ()
16th Author's Name  
16th Author's Affiliation ()
17th Author's Name  
17th Author's Affiliation ()
18th Author's Name  
18th Author's Affiliation ()
19th Author's Name  
19th Author's Affiliation ()
20th Author's Name  
20th Author's Affiliation ()
21st Author's Name  
21st Author's Affiliation ()
22nd Author's Name  
22nd Author's Affiliation ()
23rd Author's Name  
23rd Author's Affiliation ()
24th Author's Name  
24th Author's Affiliation ()
25th Author's Name  
25th Author's Affiliation ()
26th Author's Name / /
26th Author's Affiliation ()
()
27th Author's Name / /
27th Author's Affiliation ()
()
28th Author's Name / /
28th Author's Affiliation ()
()
29th Author's Name / /
29th Author's Affiliation ()
()
30th Author's Name / /
30th Author's Affiliation ()
()
31st Author's Name / /
31st Author's Affiliation ()
()
32nd Author's Name / /
32nd Author's Affiliation ()
()
33rd Author's Name / /
33rd Author's Affiliation ()
()
34th Author's Name / /
34th Author's Affiliation ()
()
35th Author's Name / /
35th Author's Affiliation ()
()
36th Author's Name / /
36th Author's Affiliation ()
()
Speaker Author-1 
Date Time 2023-08-07 14:45:00 
Presentation Time 35 minutes 
Registration for SIP 
Paper # SIP2023-50 
Volume (vol) vol.123 
Number (no) no.152 
Page p.20 
#Pages 1 
Date of Issue 2023-07-31 (SIP) 

[Return to Top Page]

[Return to IEICE Web Page]
The Institute of Electronics, Information and Communication Engineers (IEICE), Japan