Two-Phase Indefinite Kernel Support Vector Machine
Recently, indefinite kernel support vector machine (IKSVM) has attracted great attention in the machine learning community as more and more indefinite metric kernel matrices have occurred. However, the existing IKSVM algorithms are usually unable to solve the problems of information redundancy and s...
Ausführliche Beschreibung
Autor*in: |
SHI Na, XUE Hui, WANG Yunyun [verfasserIn] |
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E-Artikel |
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Sprache: |
Chinesisch |
Erschienen: |
2020 |
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Schlagwörter: |
reproducing kernel kren spaces (rkks) |
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Übergeordnetes Werk: |
In: Jisuanji kexue yu tansuo - Journal of Computer Engineering and Applications Beijing Co., Ltd., Science Press, 2021, 14(2020), 4, Seite 598-605 |
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Übergeordnetes Werk: |
volume:14 ; year:2020 ; number:4 ; pages:598-605 |
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DOI / URN: |
10.3778/j.issn.1673-9418.1905027 |
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DOAJ048939315 |
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520 | |a Recently, indefinite kernel support vector machine (IKSVM) has attracted great attention in the machine learning community as more and more indefinite metric kernel matrices have occurred. However, the existing IKSVM algorithms are usually unable to solve the problems of information redundancy and sample sparsity caused by high-dimensional data. In view of the research status, the existing mainstream IKSVM algorithms are studied.Based on the stabilization problem of IKSVM in the reproducing kernel Kre?n spaces (RKKS), this paper proves theoretically that the essence of the IKSVM is the sequential application of indefinite kernel principal component analysis (IKPCA) and support vector machine (SVM) in reduced spaces, and proposes a novel learning framework for IKSVM: two-phase indefinite kernel support vector machine (TP-IKSVM). The TP-IKSVM solves the IKSVM problem by applying IKPCA and SVM successively, combining the advantages of IKPCA in alleviating redundancy and sample sparsity caused by high-dimensional datasets and the good generalization performance of SVM in reduced spaces. Experimental results on real world datasets show the classification accuracy of TP-IKSVM is better than that of the existing mainstream IKSVM algorithms. | ||
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10.3778/j.issn.1673-9418.1905027 doi (DE-627)DOAJ048939315 (DE-599)DOAJ785fdcb04a454508855d3d2fd009092e DE-627 ger DE-627 rakwb chi QA75.5-76.95 SHI Na, XUE Hui, WANG Yunyun verfasserin aut Two-Phase Indefinite Kernel Support Vector Machine 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Recently, indefinite kernel support vector machine (IKSVM) has attracted great attention in the machine learning community as more and more indefinite metric kernel matrices have occurred. However, the existing IKSVM algorithms are usually unable to solve the problems of information redundancy and sample sparsity caused by high-dimensional data. In view of the research status, the existing mainstream IKSVM algorithms are studied.Based on the stabilization problem of IKSVM in the reproducing kernel Kre?n spaces (RKKS), this paper proves theoretically that the essence of the IKSVM is the sequential application of indefinite kernel principal component analysis (IKPCA) and support vector machine (SVM) in reduced spaces, and proposes a novel learning framework for IKSVM: two-phase indefinite kernel support vector machine (TP-IKSVM). The TP-IKSVM solves the IKSVM problem by applying IKPCA and SVM successively, combining the advantages of IKPCA in alleviating redundancy and sample sparsity caused by high-dimensional datasets and the good generalization performance of SVM in reduced spaces. Experimental results on real world datasets show the classification accuracy of TP-IKSVM is better than that of the existing mainstream IKSVM algorithms. indefinite kernel reproducing kernel kren spaces (rkks) indefinite kernel principal component analysis (ikpca) indefinite kernel support vector machine (iksvm) Electronic computers. Computer science In Jisuanji kexue yu tansuo Journal of Computer Engineering and Applications Beijing Co., Ltd., Science Press, 2021 14(2020), 4, Seite 598-605 (DE-627)DOAJ078619211 16739418 nnns volume:14 year:2020 number:4 pages:598-605 https://doi.org/10.3778/j.issn.1673-9418.1905027 kostenfrei https://doaj.org/article/785fdcb04a454508855d3d2fd009092e kostenfrei http://fcst.ceaj.org/CN/abstract/abstract2163.shtml kostenfrei https://doaj.org/toc/1673-9418 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ SSG-OLC-PHA AR 14 2020 4 598-605 |
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10.3778/j.issn.1673-9418.1905027 doi (DE-627)DOAJ048939315 (DE-599)DOAJ785fdcb04a454508855d3d2fd009092e DE-627 ger DE-627 rakwb chi QA75.5-76.95 SHI Na, XUE Hui, WANG Yunyun verfasserin aut Two-Phase Indefinite Kernel Support Vector Machine 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Recently, indefinite kernel support vector machine (IKSVM) has attracted great attention in the machine learning community as more and more indefinite metric kernel matrices have occurred. However, the existing IKSVM algorithms are usually unable to solve the problems of information redundancy and sample sparsity caused by high-dimensional data. In view of the research status, the existing mainstream IKSVM algorithms are studied.Based on the stabilization problem of IKSVM in the reproducing kernel Kre?n spaces (RKKS), this paper proves theoretically that the essence of the IKSVM is the sequential application of indefinite kernel principal component analysis (IKPCA) and support vector machine (SVM) in reduced spaces, and proposes a novel learning framework for IKSVM: two-phase indefinite kernel support vector machine (TP-IKSVM). The TP-IKSVM solves the IKSVM problem by applying IKPCA and SVM successively, combining the advantages of IKPCA in alleviating redundancy and sample sparsity caused by high-dimensional datasets and the good generalization performance of SVM in reduced spaces. Experimental results on real world datasets show the classification accuracy of TP-IKSVM is better than that of the existing mainstream IKSVM algorithms. indefinite kernel reproducing kernel kren spaces (rkks) indefinite kernel principal component analysis (ikpca) indefinite kernel support vector machine (iksvm) Electronic computers. Computer science In Jisuanji kexue yu tansuo Journal of Computer Engineering and Applications Beijing Co., Ltd., Science Press, 2021 14(2020), 4, Seite 598-605 (DE-627)DOAJ078619211 16739418 nnns volume:14 year:2020 number:4 pages:598-605 https://doi.org/10.3778/j.issn.1673-9418.1905027 kostenfrei https://doaj.org/article/785fdcb04a454508855d3d2fd009092e kostenfrei http://fcst.ceaj.org/CN/abstract/abstract2163.shtml kostenfrei https://doaj.org/toc/1673-9418 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ SSG-OLC-PHA AR 14 2020 4 598-605 |
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10.3778/j.issn.1673-9418.1905027 doi (DE-627)DOAJ048939315 (DE-599)DOAJ785fdcb04a454508855d3d2fd009092e DE-627 ger DE-627 rakwb chi QA75.5-76.95 SHI Na, XUE Hui, WANG Yunyun verfasserin aut Two-Phase Indefinite Kernel Support Vector Machine 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Recently, indefinite kernel support vector machine (IKSVM) has attracted great attention in the machine learning community as more and more indefinite metric kernel matrices have occurred. However, the existing IKSVM algorithms are usually unable to solve the problems of information redundancy and sample sparsity caused by high-dimensional data. In view of the research status, the existing mainstream IKSVM algorithms are studied.Based on the stabilization problem of IKSVM in the reproducing kernel Kre?n spaces (RKKS), this paper proves theoretically that the essence of the IKSVM is the sequential application of indefinite kernel principal component analysis (IKPCA) and support vector machine (SVM) in reduced spaces, and proposes a novel learning framework for IKSVM: two-phase indefinite kernel support vector machine (TP-IKSVM). The TP-IKSVM solves the IKSVM problem by applying IKPCA and SVM successively, combining the advantages of IKPCA in alleviating redundancy and sample sparsity caused by high-dimensional datasets and the good generalization performance of SVM in reduced spaces. Experimental results on real world datasets show the classification accuracy of TP-IKSVM is better than that of the existing mainstream IKSVM algorithms. indefinite kernel reproducing kernel kren spaces (rkks) indefinite kernel principal component analysis (ikpca) indefinite kernel support vector machine (iksvm) Electronic computers. Computer science In Jisuanji kexue yu tansuo Journal of Computer Engineering and Applications Beijing Co., Ltd., Science Press, 2021 14(2020), 4, Seite 598-605 (DE-627)DOAJ078619211 16739418 nnns volume:14 year:2020 number:4 pages:598-605 https://doi.org/10.3778/j.issn.1673-9418.1905027 kostenfrei https://doaj.org/article/785fdcb04a454508855d3d2fd009092e kostenfrei http://fcst.ceaj.org/CN/abstract/abstract2163.shtml kostenfrei https://doaj.org/toc/1673-9418 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ SSG-OLC-PHA AR 14 2020 4 598-605 |
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Recently, indefinite kernel support vector machine (IKSVM) has attracted great attention in the machine learning community as more and more indefinite metric kernel matrices have occurred. However, the existing IKSVM algorithms are usually unable to solve the problems of information redundancy and sample sparsity caused by high-dimensional data. In view of the research status, the existing mainstream IKSVM algorithms are studied.Based on the stabilization problem of IKSVM in the reproducing kernel Kre?n spaces (RKKS), this paper proves theoretically that the essence of the IKSVM is the sequential application of indefinite kernel principal component analysis (IKPCA) and support vector machine (SVM) in reduced spaces, and proposes a novel learning framework for IKSVM: two-phase indefinite kernel support vector machine (TP-IKSVM). The TP-IKSVM solves the IKSVM problem by applying IKPCA and SVM successively, combining the advantages of IKPCA in alleviating redundancy and sample sparsity caused by high-dimensional datasets and the good generalization performance of SVM in reduced spaces. Experimental results on real world datasets show the classification accuracy of TP-IKSVM is better than that of the existing mainstream IKSVM algorithms. |
abstractGer |
Recently, indefinite kernel support vector machine (IKSVM) has attracted great attention in the machine learning community as more and more indefinite metric kernel matrices have occurred. However, the existing IKSVM algorithms are usually unable to solve the problems of information redundancy and sample sparsity caused by high-dimensional data. In view of the research status, the existing mainstream IKSVM algorithms are studied.Based on the stabilization problem of IKSVM in the reproducing kernel Kre?n spaces (RKKS), this paper proves theoretically that the essence of the IKSVM is the sequential application of indefinite kernel principal component analysis (IKPCA) and support vector machine (SVM) in reduced spaces, and proposes a novel learning framework for IKSVM: two-phase indefinite kernel support vector machine (TP-IKSVM). The TP-IKSVM solves the IKSVM problem by applying IKPCA and SVM successively, combining the advantages of IKPCA in alleviating redundancy and sample sparsity caused by high-dimensional datasets and the good generalization performance of SVM in reduced spaces. Experimental results on real world datasets show the classification accuracy of TP-IKSVM is better than that of the existing mainstream IKSVM algorithms. |
abstract_unstemmed |
Recently, indefinite kernel support vector machine (IKSVM) has attracted great attention in the machine learning community as more and more indefinite metric kernel matrices have occurred. However, the existing IKSVM algorithms are usually unable to solve the problems of information redundancy and sample sparsity caused by high-dimensional data. In view of the research status, the existing mainstream IKSVM algorithms are studied.Based on the stabilization problem of IKSVM in the reproducing kernel Kre?n spaces (RKKS), this paper proves theoretically that the essence of the IKSVM is the sequential application of indefinite kernel principal component analysis (IKPCA) and support vector machine (SVM) in reduced spaces, and proposes a novel learning framework for IKSVM: two-phase indefinite kernel support vector machine (TP-IKSVM). The TP-IKSVM solves the IKSVM problem by applying IKPCA and SVM successively, combining the advantages of IKPCA in alleviating redundancy and sample sparsity caused by high-dimensional datasets and the good generalization performance of SVM in reduced spaces. Experimental results on real world datasets show the classification accuracy of TP-IKSVM is better than that of the existing mainstream IKSVM algorithms. |
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Two-Phase Indefinite Kernel Support Vector Machine |
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https://doi.org/10.3778/j.issn.1673-9418.1905027 https://doaj.org/article/785fdcb04a454508855d3d2fd009092e http://fcst.ceaj.org/CN/abstract/abstract2163.shtml https://doaj.org/toc/1673-9418 |
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up_date |
2024-07-03T20:30:28.558Z |
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