RadialBasisFunctions.Gaussian Method

public static RadialBasisFunction Gaussian(
	double shape
)

Public Shared Function Gaussian ( 
	shape As Double
) As RadialBasisFunction

public:
static RadialBasisFunction^ Gaussian(
	double shape
)

static member Gaussian : 
        shape : float -> RadialBasisFunction 

Parameters

shape  Double

The shape parameter ε that controls the width of the Gaussian. Must be positive. Smaller values make the kernel narrower.

Return Value

The Gaussian kernel produces very smooth interpolants and has infinite support. It is infinitely differentiable and decays rapidly. The shape parameter ε controls the width of the Gaussian.

The kernel is defined as φ(r) = exp(-(εr)²) where ε is the shape parameter and r is the radius.

Note: This is a strictly positive definite (PD) kernel that does not require polynomial augmentation.

Reference