# Adaptive Gamma in RBF Kernel

The RBF Kernel is defined by

$$K(x,y)=\exp(-\gamma ||x-y||^2)$$

Wouldnt it be better to find a suited gamma value for each dimension?

$$K(x,y)=\exp(-\sum_i \gamma_i * (x_i-y_i)^2 )$$

This would add more weight to more important dimensions.