smile.math.kernel

Class SparseGaussianKernel

java.lang.Object

smile.math.kernel.SparseGaussianKernel

All Implemented Interfaces:

MercerKernel<SparseArray>

public class SparseGaussianKernel
extends Object
implements MercerKernel<SparseArray>

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.

Author:

Haifeng Li

Constructor Summary

Constructors

Constructor and Description
SparseGaussianKernel(double sigma) Constructor.

Method Summary

Methods

Modifier and Type	Method and Description
double	k(SparseArray x, SparseArray y) Kernel function.
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 String toString()

Overrides:

toString in class Object

k

public double k(SparseArray x,
       SparseArray y)

Description copied from interface: MercerKernel

Kernel function.

Specified by:

k in interface MercerKernel<SparseArray>