NormalizedKernel Class Reference

Normalized version of a kernel function. More...

#include <KernelFunction.h>

Inheritance diagram for NormalizedKernel:

Public Member Functions
	NormalizedKernel (KernelFunction *base)
	~NormalizedKernel ()
void	setParameter (unsigned int index, double value)
	Modifies a specific model parameter.
double	eval (const Array< double > &x1, const Array< double > &x2) const
	Evaluates the kernel function on a const object.
double	evalDerivative (const Array< double > &x1, const Array< double > &x2, Array< double > &derivative) const
	Evaluates the kernel function and computes its derivatives w.r.t.
bool	isFeasible ()
	check whether the parameters define a feasible model
Protected Attributes
KernelFunction *	baseKernel
	kernel to normalize

Detailed Description

Normalized version of a kernel function.

For a positive definite kernel k, the normalized kernel

$\tilde k(x_1, x_2) := \frac{k(x_1, x_2)}{\sqrt{k(x_1, x_1) \cdot k(x_2, x_2)}}$

is again a positive definite kernel function.

Definition at line 206 of file KernelFunction.h.

Constructor & Destructor Documentation

NormalizedKernel::NormalizedKernel ( KernelFunction * base )

Definition at line 290 of file KernelFunction.cpp.

References baseKernel, Model::getParameter(), Model::getParameterDimension(), i, Model::parameter, and setParameter().

NormalizedKernel::~NormalizedKernel ( )

Definition at line 298 of file KernelFunction.cpp.

Member Function Documentation

double NormalizedKernel::eval	(	const Array< double > &	x1,
		const Array< double > &	x2
	)			const `[virtual]`

Evaluates the kernel function on a const object.

Implements KernelFunction.

Definition at line 308 of file KernelFunction.cpp.

References baseKernel, and KernelFunction::eval().

double NormalizedKernel::evalDerivative	(	const Array< double > &	x1,
		const Array< double > &	x2,
		Array< double > &	derivative
	)			const `[virtual]`

Evaluates the kernel function and computes its derivatives w.r.t.

the kernel parameters.

Reimplemented from KernelFunction.

Definition at line 313 of file KernelFunction.cpp.

References baseKernel, KernelFunction::evalDerivative(), Model::getParameterDimension(), and i.

bool NormalizedKernel::isFeasible ( ) [virtual]

check whether the parameters define a feasible model

The default implementation returns true, that is, every parameter configuration is considered feasible and unconstrained optimization is applicable. It is the Optimizer's responsibility to check the isFeasible() flag.