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An efficient multiple kernel learning in reproducing kernel Hilbert spaces (RKHS)
Lixiang Xu1,3; Bin Luo1; Yuanyan Tang2; Xiaohua Ma3
2015-03-16
Source PublicationInternational Journal of Wavelets, Multiresolution and Information Processing
ISSN0219-6913
Volume13Issue:2
Abstract

The reproducing kernel Hilbert space construction is a bijection or transform theory which associates a positive definite kernel with a Hilbert space of functions. Recently, reproducing kernel Hilbert space (RKHS) has come wildly alive in the pattern recognition and machine learning community. In this paper, we propose a novel method named multiple kernel learning with reproducing property (MKLRP) to achieve some classification tasks. The MKLRP consists of two major steps. First, we find the basic solution of a generalized differential operator by delta function, and prove this basic solution is a new specific reproducing kernel called H2-reproducing kernel (HRK) in RKHS. Second, in RKHS, we prove that the HRK satisfies the condition of Mercer kernel. Furthermore, a novel specific multiple kernel learning (MKL) called MKLRP, which is based on reproducing kernel is proposed. We perform an extensive experimental evaluation on synthetic and real-world data, which shows the effectiveness of the proposed approach.

KeywordMercer Kernel Multiple Kernel Learning Reproducing Kernel Support Vector Machine
DOI10.1142/S0219691315500083
URLView the original
Indexed BySCIE
Language英語English
WOS Research AreaComputer Science ; Mathematics
WOS SubjectComputer Science, Software Engineering ; Mathematics, Interdisciplinary Applications
WOS IDWOS:000353906900001
PublisherWORLD SCIENTIFIC PUBL CO PTE LTD, 5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE
Scopus ID2-s2.0-84928924024
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Document TypeJournal article
CollectionDEPARTMENT OF COMPUTER AND INFORMATION SCIENCE
Corresponding AuthorYuanyan Tang
Affiliation1.School of Computer Science and Technology Anhui University, Hefei 230601 Anhui, P. R. China
2.Department of Computer and Information Science Faculty of Science and Technology University of Macau, Macau
3.Department of Mathmatics and Physics Hefei University, Hefei 230601 Anhui, P. R. China
Corresponding Author AffilicationFaculty of Science and Technology
Recommended Citation
GB/T 7714
Lixiang Xu,Bin Luo,Yuanyan Tang,et al. An efficient multiple kernel learning in reproducing kernel Hilbert spaces (RKHS)[J]. International Journal of Wavelets, Multiresolution and Information Processing, 2015, 13(2).
APA Lixiang Xu., Bin Luo., Yuanyan Tang., & Xiaohua Ma (2015). An efficient multiple kernel learning in reproducing kernel Hilbert spaces (RKHS). International Journal of Wavelets, Multiresolution and Information Processing, 13(2).
MLA Lixiang Xu,et al."An efficient multiple kernel learning in reproducing kernel Hilbert spaces (RKHS)".International Journal of Wavelets, Multiresolution and Information Processing 13.2(2015).
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