RadialBasisFunctions.Linear Property

public static RadialBasisFunction Linear { get; }

Public Shared ReadOnly Property Linear As RadialBasisFunction
	Get

public:
static property RadialBasisFunction^ Linear {
	RadialBasisFunction^ get ();
}

static member Linear : RadialBasisFunction with get

Property Value

The linear kernel evaluates to the radius itself, φ(r) = r, and therefore increases without bound as r grows. Its first derivative is constant: φ'(r) = 1. This kernel is simple and may be used when a linear trend or first-order behavior is desired in interpolation or approximation tasks.

Note: This is a conditionally positive definite (CPD) kernel that requires polynomial augmentation. RBF interpolation with this kernel automatically includes an affine polynomial tail to ensure solvability and exact reproduction of linear functions.

Reference