Publication: Function representation using hypercircle inequality for data error
2
Issued Date
2012-12-01
Resource Type
ISSN
19980159
Other identifier(s)
2-s2.0-84875711610
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Mahidol University
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SCOPUS
Bibliographic Citation
International Journal of Mathematics and Computers in Simulation. Vol.6, No.6 (2012), 521-528
Suggested Citation
D. Poltem, K. Khompurngson, B. Novaprateep Function representation using hypercircle inequality for data error. International Journal of Mathematics and Computers in Simulation. Vol.6, No.6 (2012), 521-528. Retrieved from: https://repository.li.mahidol.ac.th/handle/123456789/14026
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Title
Function representation using hypercircle inequality for data error
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Abstract
Abstract-In this paper, the study of Hypercircle inequality for data error (Hide) is briefly reviewed. Within the framework of Hide and to find a function representation from inaccurate data, the midpoint algorithm is provided. We give a new result for a function representation that has the form of the representer theorem. We illustrate some important facts for a practical computation and study the problem in the learning value of a function for a learning kernel. We demonstrate the potential of this framework by comparing our result to the regularization method, which is the standard method in the learning value of a function. The present example compares the performance of the methods when the optimal values of regularization parameters are used.