it.uniroma2.sag.kelp.kernel.standard

Class NormalizationKernel

java.lang.Object

it.uniroma2.sag.kelp.kernel.Kernel

it.uniroma2.sag.kelp.kernel.KernelComposition

it.uniroma2.sag.kelp.kernel.standard.NormalizationKernel

public class NormalizationKernel
extends KernelComposition

Normalization of a generic kernel K
Normalization formula: \(K(x,y) = \frac{K(x,y)}{\sqrt{(K(x,x) \cdot K(y,y))}}\)

Author:

Simone Filice

Field Summary

Fields inherited from class it.uniroma2.sag.kelp.kernel.KernelComposition

baseKernel

Constructor Summary

Constructors

Constructor and Description
NormalizationKernel()
NormalizationKernel(Kernel kernelToNormalize)

Method Summary

Methods

Modifier and Type	Method and Description
protected float	kernelComputation(Example exA, Example exB) Returns the kernel similarity between the given examples.
float	squaredNorm(Example example) Returns the squared norm of the given example in the RKHS defined by this kernel

Methods inherited from class it.uniroma2.sag.kelp.kernel.KernelComposition

getBaseKernel, setBaseKernel

Methods inherited from class it.uniroma2.sag.kelp.kernel.Kernel

disableCache, getKernelCache, getKernelComputations, getNumberOfHits, getNumberOfMisses, getSquaredNormCache, innerProduct, load, reset, save, setKernelCache, setSquaredNormCache, squaredNormOfTheDifference

Methods inherited from class java.lang.Object

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

Constructor Detail

NormalizationKernel

public NormalizationKernel(Kernel kernelToNormalize)

NormalizationKernel

public NormalizationKernel()

Method Detail

kernelComputation

protected float kernelComputation(Example exA,
                      Example exB)

Description copied from class: Kernel

Returns the kernel similarity between the given examples. This corresponds to the inner product in the implicit Reproducing Kernel Hilbert Space (RKHS)

Specified by:

kernelComputation in class Kernel

Parameters:

exA - the first example

exB - the second example

Returns:

the kernel operation between exA and exB

squaredNorm

public float squaredNorm(Example example)

Description copied from class: Kernel

Returns the squared norm of the given example in the RKHS defined by this kernel

Overrides:

squaredNorm in class Kernel

Parameters:

example - the example whose squared norm must be computed

Returns:

the squared norm in the RKHS