Scaled version of a kernel function. More...

#include <shark/Models/Kernels/ScaledKernel.h>

Inheritance diagram for shark::ScaledKernel< InputType >:

Public Types
typedef base_type::BatchInputType	BatchInputType

typedef base_type::ConstInputReference	ConstInputReference

typedef base_type::ConstBatchInputReference	ConstBatchInputReference

Public Types inherited from shark::AbstractKernelFunction< InputType >
enum	Feature
	enumerations of kerneland metric features (flags) More...

typedef base_type::InputType	InputType
	Input type of the Kernel. More...

typedef base_type::BatchInputType	BatchInputType
	batch input type of the kernel More...

typedef base_type::ConstInputReference	ConstInputReference
	Const references to InputType. More...

typedef base_type::ConstBatchInputReference	ConstBatchInputReference
	Const references to BatchInputType. More...

typedef TypedFlags< Feature >	Features
	This statement declares the member m_features. See Core/Flags.h for details. More...

typedef TypedFeatureNotAvailableException< Feature >	FeatureNotAvailableException

Public Types inherited from shark::AbstractMetric< InputType >
typedef InputType	InputType
	Input type of the Kernel. More...

typedef Batch< InputType >::type	BatchInputType
	batch input type of the kernel More...

typedef ConstProxyReference< InputType const >::type	ConstInputReference
	Const references to InputType. More...

typedef ConstProxyReference< BatchInputType const >::type	ConstBatchInputReference
	Const references to BatchInputType. More...

Public Types inherited from shark::IParameterizable<>
typedef RealVector	ParameterVectorType

Public Member Functions
	ScaledKernel (AbstractKernelFunction< InputType > *base, double factor=1.0)

std::string	name () const
	From INameable: return the class name. More...

RealVector	parameterVector () const
	Return the parameter vector. More...

void	setParameterVector (RealVector const &newParameters)
	Set the parameter vector. More...

std::size_t	numberOfParameters () const
	Return the number of parameters. More...

boost::shared_ptr< State >	createState () const
	creates the internal state of the kernel More...

const double	factor ()

void	setFactor (double f)

const base_type *	base () const

double	eval (ConstInputReference x1, ConstInputReference x2) const
	Evaluates the kernel function. More...

void	eval (ConstBatchInputReference x1, ConstBatchInputReference x2, RealMatrix &result) const
	Evaluates the subset of the KernelGram matrix which is defined by X1(rows) and X2 (columns). More...

void	eval (ConstBatchInputReference x1, ConstBatchInputReference x2, RealMatrix &result, State &state) const
	Evaluates the subset of the KernelGram matrix which is defined by X1(rows) and X2 (columns). More...

void	weightedParameterDerivative (ConstBatchInputReference batchX1, ConstBatchInputReference batchX2, RealMatrix const &coefficients, State const &state, RealVector &gradient) const
	calculates the weighted derivate w.r.t. the parameters of the base kernel More...

void	weightedInputDerivative (ConstBatchInputReference batchX1, ConstBatchInputReference batchX2, RealMatrix const &coefficientsX2, State const &state, BatchInputType &gradient) const
	calculates the weighted derivate w.r.t. argument \( x_1 \) More...

void	read (InArchive &ar)
	From ISerializable, reads a metric from an archive. More...

void	write (OutArchive &ar) const
	The kernel does not serialize anything. More...

Public Member Functions inherited from shark::AbstractKernelFunction< InputType >
	AbstractKernelFunction ()

const Features &	features () const

virtual void	updateFeatures ()

bool	hasFirstParameterDerivative () const

bool	hasFirstInputDerivative () const

bool	isNormalized () const

bool	supportsVariableInputSize () const

double	operator() (ConstInputReference x1, ConstInputReference x2) const
	Convenience operator which evaluates the kernel function. More...

RealMatrix	operator() (ConstBatchInputReference batchX1, ConstBatchInputReference batchX2) const
	Evaluates the subset of the KernelGram matrix which is defined by X1(rows) and X2 (columns). More...

virtual double	featureDistanceSqr (ConstInputReference x1, ConstInputReference x2) const
	Computes the squared distance in the kernel induced feature space. More...

virtual RealMatrix	featureDistanceSqr (ConstBatchInputReference batchX1, ConstBatchInputReference batchX2) const
	Computes the squared distance in the kernel induced feature space. More...

Public Member Functions inherited from shark::AbstractMetric< InputType >
	AbstractMetric ()

virtual	~AbstractMetric ()

virtual double	featureDistanceSqr (ConstInputReference x1, ConstInputReference x2) const=0
	Computes the squared distance in the kernel induced feature space. More...

virtual RealMatrix	featureDistanceSqr (ConstBatchInputReference batchX1, ConstBatchInputReference batchX2) const=0

double	featureDistance (ConstInputReference x1, ConstInputReference x2) const
	Computes the distance in the kernel induced feature space. More...

Public Member Functions inherited from shark::INameable
virtual	~INameable ()

Public Member Functions inherited from shark::IParameterizable<>
virtual	~IParameterizable ()

Public Member Functions inherited from shark::ISerializable
virtual	~ISerializable ()
	Virtual d'tor. More...

void	load (InArchive &archive, unsigned int version)
	Versioned loading of components, calls read(...). More...

void	save (OutArchive &archive, unsigned int version) const
	Versioned storing of components, calls write(...). More...

	BOOST_SERIALIZATION_SPLIT_MEMBER ()

Protected Attributes
AbstractKernelFunction< InputType > *	m_base
	kernel to scale More...

double	m_factor
	scaling factor More...

Protected Attributes inherited from shark::AbstractKernelFunction< InputType >
Features	m_features

Detailed Description

template<class InputType = RealVector>
class shark::ScaledKernel< InputType >

Scaled version of a kernel function.

For a positive definite kernel k, the scaled kernel

\[ \tilde k(x_1, x_2) := c k(x_1, x_2) \]

is again a positive definite kernel function as long as \( c > 0 \).

Definition at line 49 of file ScaledKernel.h.

Member Typedef Documentation

◆ BatchInputType

template<class InputType = RealVector>

typedef base_type::BatchInputType shark::ScaledKernel< InputType >::BatchInputType

Definition at line 54 of file ScaledKernel.h.

◆ ConstBatchInputReference

template<class InputType = RealVector>

typedef base_type::ConstBatchInputReference shark::ScaledKernel< InputType >::ConstBatchInputReference

Definition at line 56 of file ScaledKernel.h.

◆ ConstInputReference

template<class InputType = RealVector>

typedef base_type::ConstInputReference shark::ScaledKernel< InputType >::ConstInputReference

Definition at line 55 of file ScaledKernel.h.

Constructor & Destructor Documentation

◆ ScaledKernel()

template<class InputType = RealVector>

shark::ScaledKernel< InputType >::ScaledKernel	(	AbstractKernelFunction< InputType > *	base,
		double	factor = `1.0`
	)

inline

Definition at line 58 of file ScaledKernel.h.

References shark::ScaledKernel< InputType >::factor(), shark::AbstractKernelFunction< InputType >::HAS_FIRST_INPUT_DERIVATIVE, shark::AbstractKernelFunction< InputType >::HAS_FIRST_PARAMETER_DERIVATIVE, shark::AbstractKernelFunction< InputTypeT >::hasFirstInputDerivative(), shark::AbstractKernelFunction< InputTypeT >::hasFirstParameterDerivative(), shark::ScaledKernel< InputType >::m_base, shark::AbstractKernelFunction< InputType >::m_features, RANGE_CHECK, and SHARK_ASSERT.

Member Function Documentation

◆ base()

template<class InputType = RealVector>

const base_type* shark::ScaledKernel< InputType >::base ( ) const

inline

Definition at line 98 of file ScaledKernel.h.

References shark::ScaledKernel< InputType >::m_base.

Referenced by shark::NormalizeKernelUnitVariance< InputType >::train().

◆ createState()

template<class InputType = RealVector>

boost::shared_ptr<State> shark::ScaledKernel< InputType >::createState ( ) const

inlinevirtual

creates the internal state of the kernel

Reimplemented from shark::AbstractKernelFunction< InputType >.

Definition at line 86 of file ScaledKernel.h.

References shark::AbstractKernelFunction< InputTypeT >::createState(), and shark::ScaledKernel< InputType >::m_base.

◆ eval() [1/3]

template<class InputType = RealVector>

double shark::ScaledKernel< InputType >::eval	(	ConstInputReference	x1,
		ConstInputReference	x2
	)		const

inlinevirtual

Evaluates the kernel function.

Reimplemented from shark::AbstractKernelFunction< InputType >.

Definition at line 102 of file ScaledKernel.h.

References shark::AbstractKernelFunction< InputTypeT >::eval(), shark::ScaledKernel< InputType >::m_base, shark::ScaledKernel< InputType >::m_factor, and SIZE_CHECK.

Referenced by main().

◆ eval() [2/3]

template<class InputType = RealVector>

void shark::ScaledKernel< InputType >::eval	(	ConstBatchInputReference	batchX1,
		ConstBatchInputReference	batchX2,
		RealMatrix &	result
	)		const

inlinevirtual

Evaluates the subset of the KernelGram matrix which is defined by X1(rows) and X2 (columns).

The result matrix is filled in with the values result(i,j) = kernel(x1[i], x2[j]);

Reimplemented from shark::AbstractKernelFunction< InputType >.

Definition at line 107 of file ScaledKernel.h.

References shark::AbstractKernelFunction< InputTypeT >::eval(), shark::ScaledKernel< InputType >::m_base, and shark::ScaledKernel< InputType >::m_factor.

◆ eval() [3/3]

template<class InputType = RealVector>

void shark::ScaledKernel< InputType >::eval	(	ConstBatchInputReference	batchX1,
		ConstBatchInputReference	batchX2,
		RealMatrix &	result,
		State &	state
	)		const

inlinevirtual

Evaluates the subset of the KernelGram matrix which is defined by X1(rows) and X2 (columns).

The result matrix is filled in with the values result(i,j) = kernel(x1[i], x2[j]); The State object is filled in with data used in subsequent derivative computations.

Implements shark::AbstractKernelFunction< InputType >.

Definition at line 112 of file ScaledKernel.h.

References shark::AbstractKernelFunction< InputTypeT >::eval(), shark::ScaledKernel< InputType >::m_base, and shark::ScaledKernel< InputType >::m_factor.

◆ factor()

template<class InputType = RealVector>

const double shark::ScaledKernel< InputType >::factor ( )

inline

Definition at line 90 of file ScaledKernel.h.

References shark::ScaledKernel< InputType >::m_factor.

Referenced by main(), and shark::ScaledKernel< InputType >::ScaledKernel().

◆ name()

template<class InputType = RealVector>

std::string shark::ScaledKernel< InputType >::name ( ) const

inlinevirtual

From INameable: return the class name.

Reimplemented from shark::INameable.

Definition at line 71 of file ScaledKernel.h.

◆ numberOfParameters()

template<class InputType = RealVector>

std::size_t shark::ScaledKernel< InputType >::numberOfParameters ( ) const

inlinevirtual

Return the number of parameters.

Reimplemented from shark::IParameterizable<>.

Definition at line 81 of file ScaledKernel.h.

References shark::ScaledKernel< InputType >::m_base, and shark::IParameterizable< VectorType >::numberOfParameters().

◆ parameterVector()

template<class InputType = RealVector>

RealVector shark::ScaledKernel< InputType >::parameterVector ( ) const

inlinevirtual

Return the parameter vector.

Reimplemented from shark::IParameterizable<>.

Definition at line 74 of file ScaledKernel.h.

References shark::ScaledKernel< InputType >::m_base, and shark::IParameterizable< VectorType >::parameterVector().

◆ read()

template<class InputType = RealVector>

void shark::ScaledKernel< InputType >::read ( InArchive & archive )

inlinevirtual

From ISerializable, reads a metric from an archive.

Reimplemented from shark::AbstractMetric< InputType >.

Definition at line 142 of file ScaledKernel.h.

References shark::ScaledKernel< InputType >::m_base, and shark::ScaledKernel< InputType >::m_factor.

◆ setFactor()

template<class InputType = RealVector>

void shark::ScaledKernel< InputType >::setFactor ( double f )

inline

Definition at line 93 of file ScaledKernel.h.

References shark::ScaledKernel< InputType >::m_factor, and RANGE_CHECK.

◆ setParameterVector()

template<class InputType = RealVector>

void shark::ScaledKernel< InputType >::setParameterVector ( RealVector const & newParameters )

inlinevirtual

Set the parameter vector.

Reimplemented from shark::IParameterizable<>.

Definition at line 77 of file ScaledKernel.h.

References shark::ScaledKernel< InputType >::m_base, and shark::IParameterizable< VectorType >::setParameterVector().

◆ weightedInputDerivative()

template<class InputType = RealVector>

void shark::ScaledKernel< InputType >::weightedInputDerivative	(	ConstBatchInputReference	batchX1,
		ConstBatchInputReference	batchX2,
		RealMatrix const &	coefficientsX2,
		State const &	state,
		BatchInputType &	gradient
	)		const

inlinevirtual

calculates the weighted derivate w.r.t. argument \( x_1 \)

Reimplemented from shark::AbstractKernelFunction< InputType >.

Definition at line 129 of file ScaledKernel.h.

References shark::batchSize(), shark::ScaledKernel< InputType >::m_base, shark::ScaledKernel< InputType >::m_factor, SIZE_CHECK, and shark::AbstractKernelFunction< InputTypeT >::weightedInputDerivative().

◆ weightedParameterDerivative()

template<class InputType = RealVector>

void shark::ScaledKernel< InputType >::weightedParameterDerivative	(	ConstBatchInputReference	batchX1,
		ConstBatchInputReference	batchX2,
		RealMatrix const &	coefficients,
		State const &	state,
		RealVector &	gradient
	)		const

inlinevirtual

calculates the weighted derivate w.r.t. the parameters of the base kernel

Reimplemented from shark::AbstractKernelFunction< InputType >.

Definition at line 118 of file ScaledKernel.h.

References shark::ScaledKernel< InputType >::m_base, shark::ScaledKernel< InputType >::m_factor, and shark::AbstractKernelFunction< InputTypeT >::weightedParameterDerivative().

◆ write()

template<class InputType = RealVector>

void shark::ScaledKernel< InputType >::write ( OutArchive & ar ) const

inlinevirtual

The kernel does not serialize anything.

Reimplemented from shark::AbstractMetric< InputType >.

Definition at line 148 of file ScaledKernel.h.

References shark::ScaledKernel< InputType >::m_factor.

Member Data Documentation

◆ m_base

template<class InputType = RealVector>

AbstractKernelFunction<InputType>* shark::ScaledKernel< InputType >::m_base

protected

kernel to scale

Definition at line 155 of file ScaledKernel.h.

◆ m_factor

template<class InputType = RealVector>

double shark::ScaledKernel< InputType >::m_factor

protected

scaling factor

Definition at line 156 of file ScaledKernel.h.

Referenced by shark::ScaledKernel< InputType >::eval(), shark::ScaledKernel< InputType >::factor(), shark::ScaledKernel< InputType >::read(), shark::ScaledKernel< InputType >::setFactor(), shark::ScaledKernel< InputType >::weightedInputDerivative(), shark::ScaledKernel< InputType >::weightedParameterDerivative(), and shark::ScaledKernel< InputType >::write().

The documentation for this class was generated from the following file:

include/shark/Models/Kernels/ScaledKernel.h

Public Types

Public Member Functions

Protected Attributes

Detailed Description

template<class InputType = RealVector> class shark::ScaledKernel< InputType >

Member Typedef Documentation

◆ BatchInputType

◆ ConstBatchInputReference

◆ ConstInputReference

Constructor & Destructor Documentation

◆ ScaledKernel()

Member Function Documentation

◆ base()

◆ createState()

◆ eval() [1/3]

◆ eval() [2/3]

◆ eval() [3/3]

◆ factor()

◆ name()

◆ numberOfParameters()

◆ parameterVector()

◆ read()

◆ setFactor()

◆ setParameterVector()

◆ weightedInputDerivative()

◆ weightedParameterDerivative()

◆ write()

Member Data Documentation

◆ m_base

◆ m_factor

template<class InputType = RealVector>
class shark::ScaledKernel< InputType >