Exploring reproducing kernel hilbert space and its application to survival data.
In this paper, we will construct a kernel K(x,y) and verify that it is a reproducing kernel in Hilbert space (RKHS). The basic facts and important properties of an RKHS will be reviewed. Diagonal matrices will be used in the construction of the reproducing kernel. We will construct a reproducing ker...
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American-Eurasian Network for Scientific Information
2011
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オンライン・アクセス: | http://psasir.upm.edu.my/id/eprint/25156/1/Exploring%20reproducing%20kernel%20hilbert%20space%20and%20its%20application%20to%20survival%20data.pdf http://psasir.upm.edu.my/id/eprint/25156/ http://ajbasweb.com/old/ajbas_November_2011.html |
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my.upm.eprints.251562015-09-29T03:59:35Z http://psasir.upm.edu.my/id/eprint/25156/ Exploring reproducing kernel hilbert space and its application to survival data. Abdul Manaf, Nur'azah Ibragimov, Gafurjan Abu Bakar , Mohd Rizam Aljawadi, Bader In this paper, we will construct a kernel K(x,y) and verify that it is a reproducing kernel in Hilbert space (RKHS). The basic facts and important properties of an RKHS will be reviewed. Diagonal matrices will be used in the construction of the reproducing kernel. We will construct a reproducing kernel and extend the kernel Cox regression model for the survival data of HIV patients by estimating the risk or loss function. The results from analysis indicate that the kernel method is efficient and helpful in predicting the risk or survival of patients. American-Eurasian Network for Scientific Information 2011-11 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/25156/1/Exploring%20reproducing%20kernel%20hilbert%20space%20and%20its%20application%20to%20survival%20data.pdf Abdul Manaf, Nur'azah and Ibragimov, Gafurjan and Abu Bakar , Mohd Rizam and Aljawadi, Bader (2011) Exploring reproducing kernel hilbert space and its application to survival data. Australian Journal of Basic and Applied Sciences, 5 (11). pp. 1268-1274. ISSN 1991-8178 http://ajbasweb.com/old/ajbas_November_2011.html English |
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In this paper, we will construct a kernel K(x,y) and verify that it is a reproducing kernel in Hilbert space (RKHS). The basic facts and important properties of an RKHS will be reviewed. Diagonal matrices will be used in the construction of the reproducing kernel. We will construct a reproducing kernel and extend the kernel Cox regression model for the survival data of HIV patients by estimating the risk or loss function. The results from analysis indicate that the kernel method is efficient and helpful in predicting the risk or survival of patients. |
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Article |
author |
Abdul Manaf, Nur'azah Ibragimov, Gafurjan Abu Bakar , Mohd Rizam Aljawadi, Bader |
spellingShingle |
Abdul Manaf, Nur'azah Ibragimov, Gafurjan Abu Bakar , Mohd Rizam Aljawadi, Bader Exploring reproducing kernel hilbert space and its application to survival data. |
author_facet |
Abdul Manaf, Nur'azah Ibragimov, Gafurjan Abu Bakar , Mohd Rizam Aljawadi, Bader |
author_sort |
Abdul Manaf, Nur'azah |
title |
Exploring reproducing kernel hilbert space and its application to survival data. |
title_short |
Exploring reproducing kernel hilbert space and its application to survival data. |
title_full |
Exploring reproducing kernel hilbert space and its application to survival data. |
title_fullStr |
Exploring reproducing kernel hilbert space and its application to survival data. |
title_full_unstemmed |
Exploring reproducing kernel hilbert space and its application to survival data. |
title_sort |
exploring reproducing kernel hilbert space and its application to survival data. |
publisher |
American-Eurasian Network for Scientific Information |
publishDate |
2011 |
url |
http://psasir.upm.edu.my/id/eprint/25156/1/Exploring%20reproducing%20kernel%20hilbert%20space%20and%20its%20application%20to%20survival%20data.pdf http://psasir.upm.edu.my/id/eprint/25156/ http://ajbasweb.com/old/ajbas_November_2011.html |
_version_ |
1643828576763510784 |
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13.251813 |