com.imsl.datamining.supportvectormachine

Class LinearKernel

java.lang.Object

com.imsl.datamining.supportvectormachine.Kernel

com.imsl.datamining.supportvectormachine.LinearKernel

All Implemented Interfaces:

Cloneable

public class LinearKernel
extends Kernel

Specifies the linear kernel for support vector machines.

The kernel function at two data nodes, \(x_i\) and \(x_j\), is given by \(K(x_i , x_j) = x_i^Tx_j\).

Constructor Summary

Constructors

Constructor and Description
LinearKernel() Constructs a LinearKernel with default parameters.
LinearKernel(LinearKernel linKernel) Constructs a copy of the input LinearKernel kernel.

Method Summary

Modifier and Type	Method and Description
LinearKernel	clone() Clones a LinearKernel kernel.
double	kernelFunction(DataNode[][] x, int i, int j) Calculates the kernel function between two DataNodes.
double	kernelFunction(DataNode[] x, DataNode[] y) Calculates the kernel function between two DataNodes.

Methods inherited from class com.imsl.datamining.supportvectormachine.Kernel

dot, getParameters, setParameters

Methods inherited from class java.lang.Object

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

Constructor Detail

LinearKernel

public LinearKernel()

Constructs a LinearKernel with default parameters.

LinearKernel

public LinearKernel(LinearKernel linKernel)

Constructs a copy of the input LinearKernel kernel.

Parameters:

linKernel - a LinearKernel kernel

Method Detail

clone

public LinearKernel clone()

Clones a LinearKernel kernel.

Specified by:

clone in class Kernel

Returns:

a clone of the LinearKernel kernel

kernelFunction

public double kernelFunction(DataNode[] x,
                             DataNode[] y)

Calculates the kernel function between two DataNodes.

Specified by:

kernelFunction in class Kernel

Parameters:

x - a DataNode array

y - a DataNode array

Returns:

a double, the kernel function evaluated at x and y

kernelFunction

public double kernelFunction(DataNode[][] x,
                             int i,
                             int j)

Calculates the kernel function between two DataNodes.

Specified by:

kernelFunction in class Kernel

Parameters:

x - a DataNode matrix

i - an int, index to the first DataNode, x[i]

j - an int, index to the second DataNode, x[j]

Returns:

a double, the kernel function evaluated at x[i] and x[j]