Title | ||
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Multi-Domain Adaptive Learning Based On Feasibility Splitting And Adaptive Projected Subgradient Method |
Abstract | ||
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We propose the multi-domain adaptive learning that enables us to find a point meeting possibly time-varying specifications simultaneously in multiple domains. e.g. space, time, frequency, etc. The novel concept is based on the idea of feasibility splitting - dealing with feasibility in each individual domain. We show that the adaptive projected subgradient method (Yamada, 2003) realizes the multi-domain adaptive learning by employing (i) a projected gradient operator with respect to a 'fixed' proximity function reflecting the time-invariant specifications and (ii) a subgradient projection with respect to 'time-varying' objective functions reflecting the time-varying specifications. The resulting algorithm is Suitable for real-time implementation, because it requires no more than metric projections onto closed convex sets each of which accommodates the specification in each domain. A convergence analysis and numerical examples are presented. |
Year | DOI | Venue |
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2010 | 10.1587/transfun.E93.A.456 | IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES |
Keywords | Field | DocType |
adaptive algorithm, convex projection, projected gradient method, convex feasibility problem | Convergence (routing),Mathematical optimization,Subgradient method,Adaptive projected subgradient method,Regular polygon,Multi domain,Operator (computer programming),Adaptive algorithm,Adaptive learning,Mathematics | Journal |
Volume | Issue | ISSN |
E93A | 2 | 0916-8508 |
Citations | PageRank | References |
10 | 0.77 | 13 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Masahiro Yukawa | 1 | 272 | 30.44 |
Konstantinos Slavakis | 2 | 583 | 40.76 |
isao yamada | 3 | 953 | 74.52 |