smile.math.kernel

Class SparseGaussianKernel

java.lang.Object

smile.math.kernel.SparseGaussianKernel

All Implemented Interfaces:

java.io.Serializable, MercerKernel<SparseArray>

public class SparseGaussianKernel
extends java.lang.Object
implements MercerKernel<SparseArray>, 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 over used.

See Also:

Serialized Form

Constructor Summary

Constructors

Constructor and Description
SparseGaussianKernel(double sigma) Constructor.

Method Summary

Modifier and Type	Method and Description
double	k(SparseArray x, SparseArray 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

SparseGaussianKernel

public SparseGaussianKernel(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(SparseArray x,
                SparseArray y)

Description copied from interface: MercerKernel

Kernel function.

Specified by:

k in interface MercerKernel<SparseArray>