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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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Main Authors: Abdul Manaf, Nur'azah, Ibragimov, Gafurjan, Abu Bakar , Mohd Rizam, Aljawadi, Bader
Format: Article
Language:English
English
Published: American-Eurasian Network for Scientific Information 2011
Online Access: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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spelling 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
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
English
description 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.
format 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
score 13.211869

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