| Paper Abstract and Keywords |
| Presentation |
2005-06-27 09:55
Theory and applications of set theoretic adaptive filtering with multiple a-priori convex constraints
-- Part II: Proof of convergence theorem --
Konstantinos Slavakis, Isao Yamada (Tokyo Inst. of Tech.), Nobuhiko Ogura (Musashi Inst. of Tech.) |
| Abstract |
(in Japanese) |
(See Japanese page) |
| (in English) |
Recently, the Adaptive Projected Subgradient Method (APSM) over multiple
closed convex constraints has been proposed in order to tackle the
problem of asymptotically minimizing a sequence of continuous,
nonnegative, and convex functions over multiple closed convex sets
[Slavakis \& Yamada, 2005 (Technical Report of IEICE-SIP, Jan.\
2005)]. In this paper, by the fact that points satisfying multiple
closed convex constraints can be seen as the fixed point set of strongly
attracting nonexpansive mappings in a real Hilbert space, we provide
with the proofs regarding the convergence theorem of the APSM over the
fixed point set of strongly attracting nonexpansive mappings. In this
way, these rigorous results firmly support the excellent performance of
the APSM to various adaptive signal processing applications with
multiple a-priori convex constraints like stereo echo cancelling and
robust adaptive beamforming. |
| Keyword |
(in Japanese) |
(See Japanese page) |
| (in English) |
Asymptotic Minimization / Adaptive Filtering / Fixed Point Theory / Nonexpansive Mapping / Subgradient / / / |
| Reference Info. |
IEICE Tech. Rep., vol. 105, no. 149, SIP2005-26, pp. 7-12, June 2005. |
| Paper # |
SIP2005-26 |
| Date of Issue |
2005-06-20 (CAS, VLD, SIP) |
| ISSN |
Print edition: ISSN 0913-5685 |
| Download PDF |
|
| Conference Information |
| Committee |
CAS SIP VLD |
| Conference Date |
2005-06-27 - 2005-06-28 |
| Place (in Japanese) |
(See Japanese page) |
| Place (in English) |
Tohoku University |
| Topics (in Japanese) |
(See Japanese page) |
| Topics (in English) |
Signal Processing, LSI, etc. |
| Paper Information |
| Registration To |
SIP |
| Conference Code |
2005-06-CAS-SIP-VLD |
| Language |
English |
| Title (in Japanese) |
(See Japanese page) |
| Sub Title (in Japanese) |
(See Japanese page) |
| Title (in English) |
Theory and applications of set theoretic adaptive filtering with multiple a-priori convex constraints |
| Sub Title (in English) |
Part II: Proof of convergence theorem |
| Keyword(1) |
Asymptotic Minimization |
| Keyword(2) |
Adaptive Filtering |
| Keyword(3) |
Fixed Point Theory |
| Keyword(4) |
Nonexpansive Mapping |
| Keyword(5) |
Subgradient |
| Keyword(6) |
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| Keyword(7) |
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| Keyword(8) |
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| 1st Author's Name |
Konstantinos Slavakis |
| 1st Author's Affiliation |
Tokyo Institute of Technology (Tokyo Inst. of Tech.) |
| 2nd Author's Name |
Isao Yamada |
| 2nd Author's Affiliation |
Tokyo Institute of Technology (Tokyo Inst. of Tech.) |
| 3rd Author's Name |
Nobuhiko Ogura |
| 3rd Author's Affiliation |
Musashi Institute of Technology (Musashi Inst. of Tech.) |
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| Speaker |
Author-1 |
| Date Time |
2005-06-27 09:55:00 |
| Presentation Time |
25 minutes |
| Registration for |
SIP |
| Paper # |
CAS2005-2, VLD2005-13, SIP2005-26 |
| Volume (vol) |
vol.105 |
| Number (no) |
no.145(CAS), no.147(VLD), no.149(SIP) |
| Page |
pp.7-12 |
| #Pages |
6 |
| Date of Issue |
2005-06-20 (CAS, VLD, SIP) |
|