Skip to main content

Table 1 Basis functions of RBF

From: Modified Multifidelity Surrogate Model Based on Radial Basis Function with Adaptive Scale Factor

Basis function name Basis function form Basis function name Basis function form
Linear \(\varphi \left(r\right)=r\) Gaussian \(\varphi \left(r\right)={e}^{-{r}^{2}/2{\sigma }^{2}}\)
Cubic \(\varphi \left(r\right)={r}^{3}\) Multiquadric \(\varphi \left(r\right)=\sqrt{{r}^{2}+{\sigma }^{2}}\)
Thin Plate Spline \(\varphi \left(r\right)={r}^{2}/{\mathrm{ln}}r\) Inverse Multiquadric \(\varphi \left(r\right)=1/\sqrt{{r}^{2}+{\sigma }^{2}}\)