Paper Abstract and Keywords |
Presentation |
2010-06-22 14:45
A Treatment of Multiple Metrics in Set-Theoretic Adaptive Filtering Based on Product-Space Formulation Masahiro Yukawa (Niigata Univ.), Isao Yamada (Tokyo Inst. of Tech.) CAS2010-28 VLD2010-38 SIP2010-49 CST2010-28 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
We address the issue of exploiting multiple metrics jointly for efficient adaptive filtering. The key is the introduction of product-space formulation for taking into account multiple metrics in a single Hilbert space. We present two approaches, each of which derives an adaptive filtering algorithm through a different type of product-space formulation. The first approach is based on the Pierra's idea of reformulating the problem of finding a common point of multiple closed convex sets as a problem of finding a common point of two closed convex sets in a product space. The resultant algorithm reproduces the improved proportionate normalized least mean square (IPNLMS) algorithm (Benesty and Gay, 2002) with a shorter step size. The second approach is a slight modification of the first one along the idea of constraint-embedding, thereby truly reproducing the IPNLMS algorithm. The monotone approximation properties of the two approaches are finally presented. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
multi-metric / product space / set-theoretic adaptive filtering / adaptive projected subgradient method / constraint embedding / / / |
Reference Info. |
IEICE Tech. Rep., vol. 110, no. 88, SIP2010-49, pp. 157-162, June 2010. |
Paper # |
SIP2010-49 |
Date of Issue |
2010-06-14 (CAS, VLD, SIP, CST) |
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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CAS2010-28 VLD2010-38 SIP2010-49 CST2010-28 |
Conference Information |
Committee |
CAS MSS VLD SIP |
Conference Date |
2010-06-21 - 2010-06-22 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Kitami Institute of Technology |
Topics (in Japanese) |
(See Japanese page) |
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Paper Information |
Registration To |
SIP |
Conference Code |
2010-06-CAS-CST-VLD-SIP |
Language |
English |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
A Treatment of Multiple Metrics in Set-Theoretic Adaptive Filtering Based on Product-Space Formulation |
Sub Title (in English) |
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multi-metric |
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product space |
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set-theoretic adaptive filtering |
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adaptive projected subgradient method |
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constraint embedding |
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1st Author's Name |
Masahiro Yukawa |
1st Author's Affiliation |
Niigata University (Niigata Univ.) |
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Isao Yamada |
2nd Author's Affiliation |
Tokyo Institute of Technology (Tokyo Inst. of Tech.) |
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Speaker |
Author-1 |
Date Time |
2010-06-22 14:45:00 |
Presentation Time |
25 minutes |
Registration for |
SIP |
Paper # |
CAS2010-28, VLD2010-38, SIP2010-49, CST2010-28 |
Volume (vol) |
vol.110 |
Number (no) |
no.86(CAS), no.87(VLD), no.88(SIP), no.89(CST) |
Page |
pp.157-162 |
#Pages |
6 |
Date of Issue |
2010-06-14 (CAS, VLD, SIP, CST) |
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