Saturday, 6 November 2010

Wseas Transactions

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Transactions: INTERNATIONAL JOURNAL of MATHEMATICS AND COMPUTERS IN SIMULATION
Transactions ID Number: 19-664
Full Name: Boriboon Novaprateep
Position: Lecturer
Age: ON
Sex: Male
Address: Department of Mathematics, Faculty of Science, Mahidol University, Bangkok 10400.
Country: THAILAND
Tel: 662-201-5340
Tel prefix:
Fax:
E-mail address: scbnv@mahidol.ac.th
Other E-mails: bonva001@yahoo.com
Title of the Paper: learning the value of a function by using hypercircle inequality for data error
Authors as they appear in the Paper: Boriboon Novaprateep, Kannika Khompurngson, Duangkamol Poltem
Email addresses of all the authors: scbnv@mahidol.ac.th,kannikak@nu.ac.th,kadpt@mahidol.ac.th
Number of paper pages: 8
Abstract: In this paper, we briefly review Hypercircle inequality for data error $(Hide)$ measured with square loss. We provide it in the case that the unit ball $B$ is replaced by $ \delta B$ where $ \delta $ is any positive number. Moreover, we also discuss some important facts of $Hide$ for practical computation and study the problem in learning the value of a function in reproducing kernel Hilbert space (RKHS) by using the available material from $Hide$ with different values of $\delta.$ We compare our numerical experiment to the method of regularization, which is the standard method for learning problem.
Keywords: Hypercircle inequality, Reproducing Kernel Hilbert space,Regularization, Convex Optimization and Noise Data
EXTENSION of the file: .pdf
Special (Invited) Session: The Use of Hide in Learning the Value of a Function
Organizer of the Session: 635-287.
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