smile.math.kernel

Interface IsotropicKernel

All Superinterfaces:

Function, java.io.Serializable

All Known Implementing Classes:

BinarySparseGaussianKernel, BinarySparseLaplacianKernel, BinarySparseMaternKernel, BinarySparseThinPlateSplineKernel, Gaussian, GaussianKernel, Laplacian, LaplacianKernel, Matern, MaternKernel, SparseGaussianKernel, SparseLaplacianKernel, SparseMaternKernel, SparseThinPlateSplineKernel, ThinPlateSpline, ThinPlateSplineKernel

public interface IsotropicKernel
extends Function

Isotropic kernel. If the kernel is a function only of the distance |x − y|, it is called isotropic. It is thus invariant to all rigid motions.

Method Summary

Modifier and Type	Method and Description
default double	apply(double dist) Computes the kernel function.
default double	f(double dist) Computes the value of the function at x.
double	k(double dist) Computes the isotropic kernel function.
default Matrix	K(Matrix pdist) Computes the kernel matrix.
double[]	kg(double dist) Computes the isotropic kernel function and its gradient over hyperparameters..
default Matrix[]	KG(Matrix pdist) Computes the kernel and gradient matrices.

Method Detail

f

default double f(double dist)

Description copied from interface: Function

Computes the value of the function at x.

Specified by:

f in interface Function

k

double k(double dist)

Computes the isotropic kernel function.

Parameters:

dist - The distance.

kg

double[] kg(double dist)

Computes the isotropic kernel function and its gradient over hyperparameters..

Parameters:

dist - The distance.

apply

default double apply(double dist)

Computes the kernel function. This is simply for Scala convenience.

Specified by:

apply in interface Function

K

default Matrix K(Matrix pdist)

Computes the kernel matrix.

Parameters:

pdist - The pairwise distance matrix.

Returns:

The kernel matrix.

KG

default Matrix[] KG(Matrix pdist)

Computes the kernel and gradient matrices.

Parameters:

pdist - The pairwise distance matrix.

Returns:

the kernel and gradient matrices.