smile.math.kernel

Class GaussianKernel

java.lang.Object

smile.math.kernel.GaussianKernel

All Implemented Interfaces:

java.io.Serializable, MercerKernel<double[]>

public class GaussianKernel
extends java.lang.Object
implements MercerKernel<double[]>, java.io.Serializable

The Gaussian Mercer Kernel. k(u, v) = e^{-||u-v||2 / (2 * σ2)}, where σ > 0 is the scale parameter of the kernel.

The Gaussian kernel is a good choice for a great deal of applications, although sometimes it is remarked as being overused.

See Also:

Serialized Form

Constructor Summary

Constructors

Constructor and Description
GaussianKernel(double sigma) Constructor.

Method Summary

Modifier and Type	Method and Description
double	k(double[] x, double[] y) Kernel function.
java.lang.String	toString()

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, wait, wait, wait

Constructor Detail

GaussianKernel

public GaussianKernel(double sigma)

Constructor.

Parameters:

sigma - the smooth/width parameter of Gaussian kernel.

Method Detail

toString

public java.lang.String toString()

Overrides:

toString in class java.lang.Object

k

public double k(double[] x,
                double[] y)

Description copied from interface: MercerKernel

Kernel function.

Specified by:

k in interface MercerKernel<double[]>