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Sparse representation in Szego kernels through reproducing kernel Hilbert space theory with applications
Mo Y.1,2; Qian T.1,2; Mi W.3
2015
Source PublicationInternational Journal of Wavelets, Multiresolution and Information Processing
ISSN0219-6913
Volume13Issue:4
Abstract

This paper discusses generalization bounds for complex data learning which serve as a theoretical foundation for complex support vector machine (SVM). Drawn on the generalization bounds, a complex SVM approach based on the Szego kernel of the Hardy space H2 (D) is formulated. It is applied to the frequency-domain identification problem of discrete linear time-invariant system (LTIS). Experiments show that the proposed algorithm is effective in applications.

KeywordFrequency-domain Identification Reproducing Kernel Hilbert Space Sparse Representation Support Vector Machine Szego Kernel
DOI10.1142/S0219691315500307
URLView the original
Indexed BySCIE
Language英語English
WOS Research AreaComputer Science ; Mathematics
WOS SubjectComputer Science, Software Engineering ; Mathematics, Interdisciplinary Applications
WOS IDWOS:000358621600012
Scopus ID2-s2.0-84938306282
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Citation statistics
Document TypeJournal article
CollectionUniversity of Macau
Corresponding AuthorMo Y.
Affiliation1.Department of Mathematics University of Macau, Macao
2.School of Mathematical Sciences Chongqing Normal University Chongqing, 40113, P. R. China
3.School of Mathematical Science University of Electronic Science and Technology of China, P. R. China
First Author AffilicationUniversity of Macau
Corresponding Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Mo Y.,Qian T.,Mi W.. Sparse representation in Szego kernels through reproducing kernel Hilbert space theory with applications[J]. International Journal of Wavelets, Multiresolution and Information Processing, 2015, 13(4).
APA Mo Y.., Qian T.., & Mi W. (2015). Sparse representation in Szego kernels through reproducing kernel Hilbert space theory with applications. International Journal of Wavelets, Multiresolution and Information Processing, 13(4).
MLA Mo Y.,et al."Sparse representation in Szego kernels through reproducing kernel Hilbert space theory with applications".International Journal of Wavelets, Multiresolution and Information Processing 13.4(2015).
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