Research on Smooth Support Vector Regression Based on Hermite

Polynomial smooth techniques are applied to Support Vector Regression model by an accurate smooth approximation which is offered by Hermite Interpolation polynomial. We use Hermite Interpolation to generate a new polynomial smooth function which is proposed for the vertical bar x vertical bar(2)(c), function in epsilon-insensitive support vector regression of interpolation functions. Their important property is discussed. It can be shown that the approximation accuracy and smoothing rank of polynomial. functions can be as high as required.