Residential College | false |
Status | 已發表Published |
An efficient multiple kernel learning in reproducing kernel Hilbert spaces (RKHS) | |
Lixiang Xu1,3; Bin Luo1; Yuanyan Tang2; Xiaohua Ma3 | |
2015-03-16 | |
Source Publication | International Journal of Wavelets, Multiresolution and Information Processing |
ISSN | 0219-6913 |
Volume | 13Issue: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. |
Keyword | Mercer Kernel Multiple Kernel Learning Reproducing Kernel Support Vector Machine |
DOI | 10.1142/S0219691315500083 |
URL | View the original |
Indexed By | SCIE |
Language | 英語English |
WOS Research Area | Computer Science ; Mathematics |
WOS Subject | Computer Science, Software Engineering ; Mathematics, Interdisciplinary Applications |
WOS ID | WOS:000353906900001 |
Publisher | WORLD SCIENTIFIC PUBL CO PTE LTD, 5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE |
Scopus ID | 2-s2.0-84928924024 |
Fulltext Access | |
Citation statistics | |
Document Type | Journal article |
Collection | DEPARTMENT OF COMPUTER AND INFORMATION SCIENCE |
Corresponding Author | Yuanyan Tang |
Affiliation | 1.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 Affilication | Faculty 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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