Newton-Hermite插值与正号函数的光滑化

Newton-Hermite Interpolation and the Smoothing of the Positive Function

光滑化正号函数在数据挖掘的支持向量机模型等领域中具有重要意义。利用Newton-Hermite插值方法得到了正号函数的一类多项式光滑函数,这类函数能实现正号函数的光滑化。研究并编制了得到这类多项式光滑函数的程序。基于这一程序具体求解了一些多项式光滑函数,并图形显示了这类函数对正号函数的光滑逼近效果。

It is important to smooth the positive function in supporting vector machine.In this paper,Newton-Hermite interpolation is used to get a kind of polynomial function,which can smooth the positive function.A program is designed for computing such kind of polynomial function.This program is then used to compute several polynomial functions,whose smooth effect is shown by graphic.