摘要
采用多项式响应面法、分块响应面法和增强型径向基函数的分块响应面法对3个测试函数进行近似处理,比较它们的均方根误差和相对误差值.结果表明:在样本数量较少时,并未明显地体现出增强型径向基函数的分块响应面法的优势,但是其近似精度不低于前两种方法;当样本点数量比较大时,增强型径向基函数的分块响应面方法的近似精度明显高于分块响应面法和多项式响应面法.
The polynomial response surface method,the improved response surface and the improved response surface of enhanced radial basis function were used to deal with the approximation model for three testing functions.Their performances were compared in terms of root-mean-square error and relative error.The results indicated that for the lesser number of samples,the improved response surface of enhanced radial basis function did not show the obvious advantages,but the approximate performance was not less than that of the other two methods.For a relatively large number of sample points,the approximate accuracy of the improved response surface of enhanced radial basis function was significantly higher than that of the improved response surface and the polynomial response surface method.
出处
《信阳师范学院学报（自然科学版）》
CAS
北大核心
2013年第1期143-146,共4页
Journal of Xinyang Normal University(Natural Science Edition)
基金
河南省自然科学基金项目(122300410310)
关键词
近似模型
分块响应面
增强型径向基函数
径向基函数
approximate model
improved response surface
enhanced radial basis function
radial basis function
