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Selection of an Interval for Variable Shape Parameter in Approximation by Radial Basis Functions
Author(s) -
Jafar Biazar,
Mohammad Hosami
Publication year - 2016
Publication title -
advances in numerical analysis
Language(s) - English
Resource type - Journals
eISSN - 1687-9570
pISSN - 1687-9562
DOI - 10.1155/2016/1397849
Subject(s) - interval (graph theory) , variable (mathematics) , mathematics , shape parameter , function (biology) , basis (linear algebra) , selection (genetic algorithm) , radial basis function , mathematical optimization , mathematical analysis , statistics , geometry , computer science , artificial intelligence , combinatorics , evolutionary biology , artificial neural network , biology
In radial basis function approximation, the shape parameter can be variable. The values of the variable shape parameter strategies are selected from an interval which is usually determined by trial and error. As yet there is not any algorithm for determining an appropriate interval, although there are some recipes for optimal values. In this paper, a novel algorithm for determining an interval is proposed. Different variable shape parameter strategies are examined. The results show that the determined interval significantly improved the accuracy and is suitable enough to count on in variable shape parameter strategies

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