BFL::Mixture< T > Class Template Reference

Class representing a mixture of PDFs, the mixture can contain different. More...

#include <mixture.h>

Inheritance diagram for BFL::Mixture< T >:

Public Member Functions
bool	AddComponent (Pdf< T > &pdf)
	Add a component pdf: THIS IS A NON-REALTIME OPERATION. More...
bool	AddComponent (Pdf< T > &pdf, Probability w)
	Add a component pdf with weight w: THIS IS A NON-REALTIME OPERATION. More...
virtual Mixture *	Clone () const
	Clone function. More...
Pdf< T > *	ComponentGet (unsigned int componentNumber) const
	Get the pointer to the component pdf of component "componentNumber". More...
vector< Pdf< T > * >	ComponentsGet () const
	Get the vector of pointers to the component pdfs. More...
MatrixWrapper::SymmetricMatrix	CovarianceGet () const
	Get the Covariance Matrix E[(x - E[x])^2] of the Analytic pdf. More...
bool	DeleteComponent (unsigned int componentNumber)
	Delete a component pdf: THIS IS A NON_REALTIME OPERATION. More...
template<>
ColumnVector	ExpectedValueGet () const
	Get the expected value E[x] of the pdf. More...
template<>
unsigned int	ExpectedValueGet () const
	Get the expected value E[x] of the pdf. More...
template<>
int	ExpectedValueGet () const
	Get the expected value E[x] of the pdf. More...
T	ExpectedValueGet () const
	Get the expected value E[x] of the pdf. More...
template<>
double	ExpectedValueGet () const
	Get the expected value E[x] of the pdf. More...
	Mixture (const unsigned int dimension=0)
	Constructor: An equal weight is set for all components. More...
template<typename U >
	Mixture (const U &componentVector)
	Constructor: An equal weights is set for all components. More...
	Mixture (const Mixture &my_mixture)
	Copy Constructor. More...
int	MostProbableComponentGet () const
	Get the index of the most probable component, if a few component are. More...
unsigned int	NumComponentsGet () const
	Get the number of components. More...
Probability	ProbabilityGet (const T &state) const
	Implementation of virtual base class method. More...
bool	SampleFrom (vector< Sample< T > > &list_samples, const unsigned int num_samples, int method=DEFAULT, void *args=NULL) const
bool	SampleFrom (Sample< T > &one_sample, int method=DEFAULT, void *args=NULL) const
Probability	WeightGet (unsigned int componentNumber) const
	Get the component weight of component "componentNumber". More...
bool	WeightSet (unsigned int componentNumber, Probability w)
	Function to change/set the weigth of a single component. More...
vector< Probability >	WeightsGet () const
	Get all component weights. More...
bool	WeightsSet (vector< Probability > &weights)
	Set all component weights. More...
virtual	~Mixture ()
	Destructor. More...
Public Member Functions inherited from BFL::BFL::Pdf< T >
unsigned int	DimensionGet () const
	Get the dimension of the argument. More...
virtual void	DimensionSet (unsigned int dim)
	Set the dimension of the argument. More...
	Pdf (unsigned int dimension=0)
	Constructor. More...
virtual bool	SampleFrom (vector< Sample< T > > &list_samples, const unsigned int num_samples, int method=DEFAULT, void *args=NULL) const
	Draw multiple samples from the Pdf (overloaded) More...
virtual bool	SampleFrom (Sample< T > &one_sample, int method=DEFAULT, void *args=NULL) const
	Draw 1 sample from the Pdf: More...
virtual	~Pdf ()
	Destructor. More...

Protected Member Functions
bool	CumWeightsUpdate ()
	Updates the cumWeights. More...
bool	NormalizeWeights ()
	Normalize the component weigths (eg. after setting a component weight) More...
void	TestNotInit () const
	Called when a the number of components=0 and if method is called which. More...

Protected Attributes
vector< Pdf< T > * > *	_componentPdfs
	Pointer to the vector of component pdfs. More...
vector< Probability > *	_componentWeights
	Pointer to the vector of mixture weights, the sum of the elements = 1. More...
vector< double >	_cumWeights
	Vector containing the cumulative component weights (for efficient sampling) More...
unsigned int	_numComponents
	The number of components. More...

Detailed Description

template<typename T>
class BFL::Mixture< T >

Class representing a mixture of PDFs, the mixture can contain different.

This class is an instantation from the template class Pdf, with added methods to get a set the individual components and mixture weights

Definition at line 48 of file mixture.h.

Constructor & Destructor Documentation

template<typename T>

BFL::Mixture< T >::Mixture

(

const unsigned int

dimension = 0

)

Constructor: An equal weight is set for all components.

Parameters

dimension

the dimension of the state space

template<typename T>

template<typename U >

BFL::Mixture< T >::Mixture

(

const U &

componentVector

)

Constructor: An equal weights is set for all components.

Parameters

componentVector

vector of components (Pdf<T>*)

template<typename T>

BFL::Mixture< T >::Mixture

(

const Mixture< T > &

my_mixture

)

Copy Constructor.

template<typename T>

virtual BFL::Mixture< T >::~Mixture ( )

virtual

Destructor.

Member Function Documentation

template<typename T>

bool BFL::Mixture< T >::AddComponent

(

Pdf< T > &

pdf

)

Add a component pdf: THIS IS A NON-REALTIME OPERATION.

Parameters

pdf	Component pdf which will be added

template<typename T>

bool BFL::Mixture< T >::AddComponent	(	Pdf< T > &	pdf,
		Probability	w
	)

Add a component pdf with weight w: THIS IS A NON-REALTIME OPERATION.

Parameters

pdf	Component pdf which will be added
weight	the weight of the new component

template<typename T>

virtual Mixture* BFL::Mixture< T >::Clone ( ) const

virtual

Clone function.

Implements BFL::BFL::Pdf< T >.

template<typename T>

Pdf<T>* BFL::Mixture< T >::ComponentGet

(

unsigned int

componentNumber

)

const

Get the pointer to the component pdf of component "componentNumber".

Parameters

componentNumber

number of the component (must be >=0 and <_numComponents)

template<typename T>

vector<Pdf<T>* > BFL::Mixture< T >::ComponentsGet

(

)

const

Get the vector of pointers to the component pdfs.

template<typename T>

MatrixWrapper::SymmetricMatrix BFL::Mixture< T >::CovarianceGet ( ) const

virtual

Get the Covariance Matrix E[(x - E[x])^2] of the Analytic pdf.

Get first order statistic (Covariance) of this AnalyticPdf

Returns

The Covariance of the Pdf (a SymmetricMatrix of dim DIMENSION)

Todo:

extend this more general to n-th order statistic

Bug:

Discrete pdfs should not be able to use this!

Reimplemented from BFL::BFL::Pdf< T >.

template<typename T>

bool BFL::Mixture< T >::CumWeightsUpdate ( )

protected

Updates the cumWeights.

template<typename T>

bool BFL::Mixture< T >::DeleteComponent

(

unsigned int

componentNumber

)

Delete a component pdf: THIS IS A NON_REALTIME OPERATION.

Parameters

componentNumber

number of the component which will be deleted (must be >=0 and <_numComponents)

template<>

ColumnVector BFL::Mixture< ColumnVector >::ExpectedValueGet ( ) const

inlinevirtual

Get the expected value E[x] of the pdf.

Get low order statistic (Expected Value) of this AnalyticPdf

Returns

The Expected Value of the Pdf (a ColumnVector with DIMENSION rows)

Note

No set functions here! This can be useful for analytic functions, but not for sample based representations!

For certain discrete Pdfs, this function has no meaning, what is the average between yes and no?

Reimplemented from BFL::BFL::Pdf< T >.

Definition at line 30 of file mixture.cpp.

template<>

unsigned int BFL::Mixture< unsigned int >::ExpectedValueGet ( ) const

inlinevirtual

Get the expected value E[x] of the pdf.

Get low order statistic (Expected Value) of this AnalyticPdf

Returns

The Expected Value of the Pdf (a ColumnVector with DIMENSION rows)

Note

No set functions here! This can be useful for analytic functions, but not for sample based representations!

For certain discrete Pdfs, this function has no meaning, what is the average between yes and no?

Reimplemented from BFL::BFL::Pdf< T >.

Definition at line 45 of file mixture.cpp.

template<>

int BFL::Mixture< int >::ExpectedValueGet ( ) const

inlinevirtual

Get the expected value E[x] of the pdf.

Get low order statistic (Expected Value) of this AnalyticPdf

Returns

The Expected Value of the Pdf (a ColumnVector with DIMENSION rows)

Note

No set functions here! This can be useful for analytic functions, but not for sample based representations!

For certain discrete Pdfs, this function has no meaning, what is the average between yes and no?

Reimplemented from BFL::BFL::Pdf< T >.

Definition at line 81 of file mixture.cpp.

template<typename T>

T BFL::Mixture< T >::ExpectedValueGet ( ) const

virtual

Get the expected value E[x] of the pdf.

Get low order statistic (Expected Value) of this AnalyticPdf

Returns

The Expected Value of the Pdf (a ColumnVector with DIMENSION rows)

Note

No set functions here! This can be useful for analytic functions, but not for sample based representations!

For certain discrete Pdfs, this function has no meaning, what is the average between yes and no?

Reimplemented from BFL::BFL::Pdf< T >.

template<>

double BFL::Mixture< double >::ExpectedValueGet ( ) const

inlinevirtual

Get the expected value E[x] of the pdf.

Get low order statistic (Expected Value) of this AnalyticPdf

Returns

The Expected Value of the Pdf (a ColumnVector with DIMENSION rows)

Note

No set functions here! This can be useful for analytic functions, but not for sample based representations!

For certain discrete Pdfs, this function has no meaning, what is the average between yes and no?

Reimplemented from BFL::BFL::Pdf< T >.

Definition at line 115 of file mixture.cpp.

template<typename T>

int BFL::Mixture< T >::MostProbableComponentGet

(

)

const

Get the index of the most probable component, if a few component are.

template<typename T>

bool BFL::Mixture< T >::NormalizeWeights ( )

protected

Normalize the component weigths (eg. after setting a component weight)

template<typename T>

unsigned int BFL::Mixture< T >::NumComponentsGet

(

)

const

Get the number of components.

template<typename T>

Probability BFL::Mixture< T >::ProbabilityGet ( const T &  state ) const

virtual

Implementation of virtual base class method.

Reimplemented from BFL::BFL::Pdf< T >.

template<typename T>

bool BFL::Mixture< T >::SampleFrom	(	vector< Sample< T > > &	list_samples,
		const unsigned int	num_samples,
		int	method = DEFAULT,
		void *	args = NULL
	)		const

template<typename T>

bool BFL::Mixture< T >::SampleFrom	(	Sample< T > &	one_sample,
		int	method = DEFAULT,
		void *	args = NULL
	)		const

template<typename T>

void BFL::Mixture< T >::TestNotInit ( ) const

protected

Called when a the number of components=0 and if method is called which.

template<typename T>

Probability BFL::Mixture< T >::WeightGet

(

unsigned int

componentNumber

)

const

Get the component weight of component "componentNumber".

Parameters

componentNumber

number of the component (must be >=0 and <_numComponents)

template<typename T>

bool BFL::Mixture< T >::WeightSet	(	unsigned int	componentNumber,
		Probability	w
	)

Function to change/set the weigth of a single component.

Changes the component weights such that AFTER normalization the weight of the component "componentNumber" is equal to the weight w

Parameters

componentNumber	number of the component of which the weight will be set (must be >=0 and <_numComponents)
w	Probability to which the weight of component "componentNumber" will be set (must be <= 1)

template<typename T>

vector<Probability> BFL::Mixture< T >::WeightsGet

(

)

const

Get all component weights.

template<typename T>

bool BFL::Mixture< T >::WeightsSet

(

vector< Probability > &

weights

)

Set all component weights.

values vector<Probability> containing the new component weights . The sum of the probabilities of this list is not required to be one since the normalization is automatically carried out. The size of weights should be equal to the number of components

Member Data Documentation

template<typename T>

vector<Pdf<T>* >* BFL::Mixture< T >::_componentPdfs

protected

Pointer to the vector of component pdfs.

Definition at line 58 of file mixture.h.

template<typename T>

vector<Probability>* BFL::Mixture< T >::_componentWeights

protected

Pointer to the vector of mixture weights, the sum of the elements = 1.

Definition at line 55 of file mixture.h.

template<typename T>

vector<double> BFL::Mixture< T >::_cumWeights

protected

Vector containing the cumulative component weights (for efficient sampling)

Definition at line 66 of file mixture.h.

template<typename T>

unsigned int BFL::Mixture< T >::_numComponents

protected

The number of components.

Definition at line 52 of file mixture.h.

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

• mixture.h