itk::OnePlusOneEvolutionaryOptimizer Class Reference

#include <itkOnePlusOneEvolutionaryOptimizer.h>

Detailed Description

1+1 evolutionary strategy optimizer

This optimizer searches for the optimal parameters. It changes its search radius and position using the grow factor ,shrink factor, and isotropic probability function (which is a random unit normal variate generator).

This optimizer needs a cost function and a random unit normal variate generator. The cost function should return cost with new position in parameter space which will be generated by 1+1 evolutionary strategy. Users should plug-in the random unit normal variate generator using SetNormalVariateGenerator method.

The SetEpsilon method is the minimum value for the frobenius_norm of the covariance matrix. If the fnorm is smaller than this value, the optimization process will stop even before it hits the maximum iteration.

Another way to stop the optimization process is calling the StopOptimization method. At next iteration after calling it, the optimization process will stop.

This optimizing scheme was initially developed and implemented by Martin Styner, Univ. of North Carolina at Chapel Hill, and his colleagues.

For more details. refer to the following articles. "Parametric estimate of intensity inhomogeneities applied to MRI" Martin Styner, G. Gerig, Christian Brechbuehler, Gabor Szekely, IEEE TRANSACTIONS ON MEDICAL IMAGING; 19(3), pp. 153-165, 2000, (https://www.cs.unc.edu/~styner/docs/tmi00.pdf)

"Evaluation of 2D/3D bias correction with 1+1ES-optimization" Martin Styner, Prof. Dr. G. Gerig (IKT, BIWI, ETH Zuerich), TR-197 (https://www.cs.unc.edu/~styner/docs/StynerTR97.pdf)

See also

NormalVariateGenerator

Definition at line 71 of file itkOnePlusOneEvolutionaryOptimizer.h.

Inheritance diagram for itk::OnePlusOneEvolutionaryOptimizer:

Collaboration diagram for itk::OnePlusOneEvolutionaryOptimizer:

Public Types
using	ConstPointer = SmartPointer< const Self >
using	CostFunctionPointer = CostFunctionType::Pointer
using	CostFunctionType = SingleValuedCostFunction
using	NormalVariateGeneratorType = Statistics::RandomVariateGeneratorBase
using	Pointer = SmartPointer< Self >
using	Self = OnePlusOneEvolutionaryOptimizer
using	Superclass = SingleValuedNonLinearOptimizer
Public Types inherited from itk::SingleValuedNonLinearOptimizer
using	ConstPointer = SmartPointer< const Self >
using	CostFunctionPointer = CostFunctionType::Pointer
using	CostFunctionType = SingleValuedCostFunction
using	DerivativeType = CostFunctionType::DerivativeType
using	MeasureType = CostFunctionType::MeasureType
using	ParametersType = Superclass::ParametersType
using	Pointer = SmartPointer< Self >
using	Self = SingleValuedNonLinearOptimizer
using	Superclass = NonLinearOptimizer
Public Types inherited from itk::NonLinearOptimizer
using	ConstPointer = SmartPointer< const Self >
using	ParametersType = Superclass::ParametersType
using	Pointer = SmartPointer< Self >
using	ScalesType = Superclass::ScalesType
using	Self = NonLinearOptimizer
using	Superclass = Optimizer
Public Types inherited from itk::Optimizer
using	ConstPointer = SmartPointer< const Self >
using	ParametersType = OptimizerParameters< double >
using	Pointer = SmartPointer< Self >
using	ScalesType = Array< double >
using	Self = Optimizer
using	Superclass = Object
Public Types inherited from itk::Object
using	ConstPointer = SmartPointer< const Self >
using	Pointer = SmartPointer< Self >
using	Self = Object
using	Superclass = LightObject
Public Types inherited from itk::LightObject
using	ConstPointer = SmartPointer< const Self >
using	Pointer = SmartPointer< Self >
using	Self = LightObject

Public Member Functions
virtual const bool &	GetCatchGetValueException () const
virtual const unsigned int &	GetCurrentIteration () const
virtual const double &	GetFrobeniusNorm () const
virtual const bool &	GetInitialized () const
virtual const double &	GetMetricWorstPossibleValue () const
bool	GetMinimize () const
const char *	GetNameOfClass () const override
std::string	GetStopConditionDescription () const override
void	Initialize (double initialRadius, double grow=-1, double shrink=-1)
void	MinimizeOff ()
void	MinimizeOn ()
virtual void	SetCatchGetValueException (bool _arg)
virtual void	SetMetricWorstPossibleValue (double _arg)
void	SetMinimize (bool v)
void	SetNormalVariateGenerator (NormalVariateGeneratorType *generator)
void	StartOptimization () override
void	StopOptimization ()
virtual void	SetMaximize (bool _arg)
virtual void	MaximizeOn ()
virtual const bool &	GetMaximize () const
virtual void	SetMaximumIteration (unsigned int _arg)
virtual const unsigned int &	GetMaximumIteration () const
virtual void	SetGrowthFactor (double _arg)
virtual const double &	GetGrowthFactor () const
virtual void	SetShrinkFactor (double _arg)
virtual const double &	GetShrinkFactor () const
virtual void	SetInitialRadius (double _arg)
virtual const double &	GetInitialRadius () const
virtual void	SetEpsilon (double _arg)
virtual const double &	GetEpsilon () const
virtual const MeasureType &	GetCurrentCost () const
MeasureType	GetValue () const
Public Member Functions inherited from itk::SingleValuedNonLinearOptimizer
virtual CostFunctionType *	GetModifiableCostFunction ()
const char *	GetNameOfClass () const override
MeasureType	GetValue (const ParametersType &parameters) const
virtual void	SetCostFunction (CostFunctionType *costFunction)
const char *	GetNameOfClass () const override
Public Member Functions inherited from itk::Optimizer
virtual const ParametersType &	GetCurrentPosition () const
virtual const ParametersType &	GetInitialPosition () const
const char *	GetNameOfClass () const override
virtual std::string	GetStopConditionDescription () const
virtual void	SetInitialPosition (const ParametersType &param)
void	SetScales (const ScalesType &scales)
virtual void	StartOptimization ()
virtual const ScalesType &	GetScales () const
virtual const ScalesType &	GetInverseScales () const
Public Member Functions inherited from itk::Object
unsigned long	AddObserver (const EventObject &event, Command *cmd) const
unsigned long	AddObserver (const EventObject &event, std::function< void(const EventObject &)> function) const
LightObject::Pointer	CreateAnother () const override
virtual void	DebugOff () const
virtual void	DebugOn () const
Command *	GetCommand (unsigned long tag)
bool	GetDebug () const
MetaDataDictionary &	GetMetaDataDictionary ()
const MetaDataDictionary &	GetMetaDataDictionary () const
virtual ModifiedTimeType	GetMTime () const
const char *	GetNameOfClass () const override
virtual const TimeStamp &	GetTimeStamp () const
bool	HasObserver (const EventObject &event) const
void	InvokeEvent (const EventObject &)
void	InvokeEvent (const EventObject &) const
virtual void	Modified () const
void	Register () const override
void	RemoveAllObservers ()
void	RemoveObserver (unsigned long tag) const
void	SetDebug (bool debugFlag) const
void	SetReferenceCount (int) override
void	UnRegister () const noexcept override
void	SetMetaDataDictionary (const MetaDataDictionary &rhs)
void	SetMetaDataDictionary (MetaDataDictionary &&rrhs)
virtual void	SetObjectName (std::string _arg)
virtual const std::string &	GetObjectName () const
Public Member Functions inherited from itk::LightObject
Pointer	Clone () const
virtual Pointer	CreateAnother () const
virtual void	Delete ()
virtual const char *	GetNameOfClass () const
virtual int	GetReferenceCount () const
void	Print (std::ostream &os, Indent indent=0) const
virtual void	Register () const
virtual void	SetReferenceCount (int)
virtual void	UnRegister () const noexcept

Static Public Member Functions
static Pointer	New ()
Static Public Member Functions inherited from itk::SingleValuedNonLinearOptimizer
static Pointer	New ()
Static Public Member Functions inherited from itk::NonLinearOptimizer
static Pointer	New ()
Static Public Member Functions inherited from itk::Optimizer
static Pointer	New ()
Static Public Member Functions inherited from itk::Object
static bool	GetGlobalWarningDisplay ()
static void	GlobalWarningDisplayOff ()
static void	GlobalWarningDisplayOn ()
static Pointer	New ()
static void	SetGlobalWarningDisplay (bool val)
Static Public Member Functions inherited from itk::LightObject
static void	BreakOnError ()
static Pointer	New ()

Protected Member Functions
	OnePlusOneEvolutionaryOptimizer ()
	OnePlusOneEvolutionaryOptimizer (const OnePlusOneEvolutionaryOptimizer &)
void	PrintSelf (std::ostream &os, Indent indent) const override
	~OnePlusOneEvolutionaryOptimizer () override=default
Protected Member Functions inherited from itk::SingleValuedNonLinearOptimizer
void	PrintSelf (std::ostream &os, Indent indent) const override
	SingleValuedNonLinearOptimizer ()
	~SingleValuedNonLinearOptimizer () override=default
Protected Member Functions inherited from itk::NonLinearOptimizer
	NonLinearOptimizer ()=default
	~NonLinearOptimizer () override
Protected Member Functions inherited from itk::Optimizer
	Optimizer ()
void	PrintSelf (std::ostream &os, Indent indent) const override
virtual void	SetCurrentPosition (const ParametersType &param)
	~Optimizer () override=default
Protected Member Functions inherited from itk::Object
	Object ()
bool	PrintObservers (std::ostream &os, Indent indent) const
void	PrintSelf (std::ostream &os, Indent indent) const override
virtual void	SetTimeStamp (const TimeStamp &timeStamp)
	~Object () override
Protected Member Functions inherited from itk::LightObject
virtual LightObject::Pointer	InternalClone () const
	LightObject ()
virtual void	PrintHeader (std::ostream &os, Indent indent) const
virtual void	PrintSelf (std::ostream &os, Indent indent) const
virtual void	PrintTrailer (std::ostream &os, Indent indent) const
virtual	~LightObject ()

Private Attributes
bool	m_CatchGetValueException {}
MeasureType	m_CurrentCost {}
unsigned int	m_CurrentIteration {}
double	m_Epsilon {}
double	m_FrobeniusNorm {}
double	m_GrowthFactor {}
bool	m_Initialized {}
double	m_InitialRadius {}
bool	m_Maximize {}
unsigned int	m_MaximumIteration {}
double	m_MetricWorstPossibleValue {}
NormalVariateGeneratorType::Pointer	m_RandomGenerator {}
double	m_ShrinkFactor {}
bool	m_Stop {}
std::ostringstream	m_StopConditionDescription {}

Additional Inherited Members
Protected Attributes inherited from itk::SingleValuedNonLinearOptimizer
CostFunctionPointer	m_CostFunction {}
Protected Attributes inherited from itk::Optimizer
ParametersType	m_CurrentPosition {}
bool	m_ScalesInitialized { false }
Protected Attributes inherited from itk::LightObject
std::atomic< int >	m_ReferenceCount {}

Member Typedef Documentation

ConstPointer

using itk::OnePlusOneEvolutionaryOptimizer::ConstPointer = SmartPointer<const Self>

Definition at line 78 of file itkOnePlusOneEvolutionaryOptimizer.h.

CostFunctionPointer

using itk::OnePlusOneEvolutionaryOptimizer::CostFunctionPointer = CostFunctionType::Pointer

Definition at line 88 of file itkOnePlusOneEvolutionaryOptimizer.h.

CostFunctionType

using itk::OnePlusOneEvolutionaryOptimizer::CostFunctionType = SingleValuedCostFunction

Type of the Cost Function

Definition at line 87 of file itkOnePlusOneEvolutionaryOptimizer.h.

NormalVariateGeneratorType

using itk::OnePlusOneEvolutionaryOptimizer::NormalVariateGeneratorType = Statistics::RandomVariateGeneratorBase

Normal random variate generator type.

Definition at line 91 of file itkOnePlusOneEvolutionaryOptimizer.h.

Pointer

using itk::OnePlusOneEvolutionaryOptimizer::Pointer = SmartPointer<Self>

Definition at line 77 of file itkOnePlusOneEvolutionaryOptimizer.h.

Self

using itk::OnePlusOneEvolutionaryOptimizer::Self = OnePlusOneEvolutionaryOptimizer

Standard "Self" type alias.

Definition at line 75 of file itkOnePlusOneEvolutionaryOptimizer.h.

Superclass

using itk::OnePlusOneEvolutionaryOptimizer::Superclass = SingleValuedNonLinearOptimizer

Definition at line 76 of file itkOnePlusOneEvolutionaryOptimizer.h.

Constructor & Destructor Documentation

OnePlusOneEvolutionaryOptimizer() [1/2]

itk::OnePlusOneEvolutionaryOptimizer::OnePlusOneEvolutionaryOptimizer ( )

protected

OnePlusOneEvolutionaryOptimizer() [2/2]

itk::OnePlusOneEvolutionaryOptimizer::OnePlusOneEvolutionaryOptimizer ( const OnePlusOneEvolutionaryOptimizer &  )

protected

~OnePlusOneEvolutionaryOptimizer()

itk::OnePlusOneEvolutionaryOptimizer::~OnePlusOneEvolutionaryOptimizer ( )

overrideprotecteddefault

Member Function Documentation

GetCatchGetValueException()

virtual const bool & itk::OnePlusOneEvolutionaryOptimizer::GetCatchGetValueException ( ) const

virtual

GetCurrentCost()

virtual const MeasureType & itk::OnePlusOneEvolutionaryOptimizer::GetCurrentCost ( ) const

virtual

Return Current Value

GetCurrentIteration()

virtual const unsigned int & itk::OnePlusOneEvolutionaryOptimizer::GetCurrentIteration ( ) const

virtual

Return Current Iteration

GetEpsilon()

virtual const double & itk::OnePlusOneEvolutionaryOptimizer::GetEpsilon ( ) const

virtual

Set/Get the minimal size of search radius (frobenius_norm of covariance matrix).

GetFrobeniusNorm()

virtual const double & itk::OnePlusOneEvolutionaryOptimizer::GetFrobeniusNorm ( ) const

virtual

Get the current Frobenius norm of covariance matrix

GetGrowthFactor()

virtual const double & itk::OnePlusOneEvolutionaryOptimizer::GetGrowthFactor ( ) const

virtual

Set/Get the search radius grow factor in parameter space.

GetInitialized()

virtual const bool & itk::OnePlusOneEvolutionaryOptimizer::GetInitialized ( ) const

virtual

Return if optimizer has been initialized

GetInitialRadius()

virtual const double & itk::OnePlusOneEvolutionaryOptimizer::GetInitialRadius ( ) const

virtual

Set/Get initial search radius in parameter space

GetMaximize()

virtual const bool & itk::OnePlusOneEvolutionaryOptimizer::GetMaximize ( ) const

virtual

Set if the Optimizer should Maximize the metric

GetMaximumIteration()

virtual const unsigned int & itk::OnePlusOneEvolutionaryOptimizer::GetMaximumIteration ( ) const

virtual

Set/Get maximum iteration limit.

GetMetricWorstPossibleValue()

virtual const double & itk::OnePlusOneEvolutionaryOptimizer::GetMetricWorstPossibleValue ( ) const

virtual

GetMinimize()

bool itk::OnePlusOneEvolutionaryOptimizer::GetMinimize ( ) const

inline

Definition at line 100 of file itkOnePlusOneEvolutionaryOptimizer.h.

GetNameOfClass()

const char * itk::OnePlusOneEvolutionaryOptimizer::GetNameOfClass ( ) const

overridevirtual

See also

LightObject::GetNameOfClass()

Reimplemented from itk::NonLinearOptimizer.

GetShrinkFactor()

virtual const double & itk::OnePlusOneEvolutionaryOptimizer::GetShrinkFactor ( ) const

virtual

Set/Get the search radius shrink factor.

GetStopConditionDescription()

std::string itk::OnePlusOneEvolutionaryOptimizer::GetStopConditionDescription ( ) const

overridevirtual

Get the reason for termination

Reimplemented from itk::Optimizer.

GetValue()

MeasureType itk::OnePlusOneEvolutionaryOptimizer::GetValue ( ) const

inline

Return Current Value

Definition at line 164 of file itkOnePlusOneEvolutionaryOptimizer.h.

Initialize()

void itk::OnePlusOneEvolutionaryOptimizer::Initialize	(	double	initialRadius,
		double	grow = -1,
		double	shrink = -1
	)

Initializes the optimizer. Before running this optimizer, this function should have been called.

initialRadius: search radius in parameter space grow: search radius grow factor shrink: search radius shrink factor

MaximizeOn()

virtual void itk::OnePlusOneEvolutionaryOptimizer::MaximizeOn ( )

virtual

Set if the Optimizer should Maximize the metric

MinimizeOff()

void itk::OnePlusOneEvolutionaryOptimizer::MinimizeOff ( )

inline

Definition at line 115 of file itkOnePlusOneEvolutionaryOptimizer.h.

MinimizeOn()

void itk::OnePlusOneEvolutionaryOptimizer::MinimizeOn ( )

inline

Definition at line 110 of file itkOnePlusOneEvolutionaryOptimizer.h.

New()

static Pointer itk::OnePlusOneEvolutionaryOptimizer::New ( )

static

Method for creation through the object factory.

PrintSelf()

void itk::OnePlusOneEvolutionaryOptimizer::PrintSelf ( std::ostream &  os, Indent  indent  ) const

overrideprotectedvirtual

Methods invoked by Print() to print information about the object including superclasses. Typically not called by the user (use Print() instead) but used in the hierarchical print process to combine the output of several classes.

Reimplemented from itk::Object.

SetCatchGetValueException()

virtual void itk::OnePlusOneEvolutionaryOptimizer::SetCatchGetValueException ( bool  _arg )

virtual

SetEpsilon()

virtual void itk::OnePlusOneEvolutionaryOptimizer::SetEpsilon ( double  _arg )

virtual

Set/Get the minimal size of search radius (frobenius_norm of covariance matrix).

SetGrowthFactor()

virtual void itk::OnePlusOneEvolutionaryOptimizer::SetGrowthFactor ( double  _arg )

virtual

Set/Get the search radius grow factor in parameter space.

SetInitialRadius()

virtual void itk::OnePlusOneEvolutionaryOptimizer::SetInitialRadius ( double  _arg )

virtual

Set/Get initial search radius in parameter space

SetMaximize()

virtual void itk::OnePlusOneEvolutionaryOptimizer::SetMaximize ( bool  _arg )

virtual

Set if the Optimizer should Maximize the metric

SetMaximumIteration()

virtual void itk::OnePlusOneEvolutionaryOptimizer::SetMaximumIteration ( unsigned int  _arg )

virtual

Set/Get maximum iteration limit.

SetMetricWorstPossibleValue()

virtual void itk::OnePlusOneEvolutionaryOptimizer::SetMetricWorstPossibleValue ( double  _arg )

virtual

SetMinimize()

void itk::OnePlusOneEvolutionaryOptimizer::SetMinimize ( bool  v )

inline

Definition at line 105 of file itkOnePlusOneEvolutionaryOptimizer.h.

SetNormalVariateGenerator()

void itk::OnePlusOneEvolutionaryOptimizer::SetNormalVariateGenerator

(

NormalVariateGeneratorType *

generator

)

SetShrinkFactor()

virtual void itk::OnePlusOneEvolutionaryOptimizer::SetShrinkFactor ( double  _arg )

virtual

Set/Get the search radius shrink factor.

StartOptimization()

void itk::OnePlusOneEvolutionaryOptimizer::StartOptimization ( )

overridevirtual

Start optimization. Optimization will stop when it meets either of two termination conditions, the maximum iteration limit or epsilon (minimal search radius)

Reimplemented from itk::Optimizer.

StopOptimization()

void itk::OnePlusOneEvolutionaryOptimizer::StopOptimization ( )

inline

when users call StartOptimization, this value will be set false. By calling StopOptimization, this flag will be set true, and optimization will stop at the next iteration.

Definition at line 186 of file itkOnePlusOneEvolutionaryOptimizer.h.

Member Data Documentation

m_CatchGetValueException

bool itk::OnePlusOneEvolutionaryOptimizer::m_CatchGetValueException {}

private

Definition at line 217 of file itkOnePlusOneEvolutionaryOptimizer.h.

m_CurrentCost

MeasureType itk::OnePlusOneEvolutionaryOptimizer::m_CurrentCost {}

private

Internal storage for the value type / used as a cache

Definition at line 240 of file itkOnePlusOneEvolutionaryOptimizer.h.

m_CurrentIteration

unsigned int itk::OnePlusOneEvolutionaryOptimizer::m_CurrentIteration {}

private

Current iteration

Definition at line 215 of file itkOnePlusOneEvolutionaryOptimizer.h.

m_Epsilon

double itk::OnePlusOneEvolutionaryOptimizer::m_Epsilon {}

private

The minimal size of search radius (frobenius_norm of covariance matrix).

Definition at line 225 of file itkOnePlusOneEvolutionaryOptimizer.h.

m_FrobeniusNorm

double itk::OnePlusOneEvolutionaryOptimizer::m_FrobeniusNorm {}

private

Cache variable for reporting the Frobenius Norm

Definition at line 253 of file itkOnePlusOneEvolutionaryOptimizer.h.

m_GrowthFactor

double itk::OnePlusOneEvolutionaryOptimizer::m_GrowthFactor {}

private

Search radius growth factor in parameter space.

Definition at line 231 of file itkOnePlusOneEvolutionaryOptimizer.h.

m_Initialized

bool itk::OnePlusOneEvolutionaryOptimizer::m_Initialized {}

private

Flag tells if the optimizer was initialized using Initialize function.

Definition at line 237 of file itkOnePlusOneEvolutionaryOptimizer.h.

m_InitialRadius

double itk::OnePlusOneEvolutionaryOptimizer::m_InitialRadius {}

private

Initial search radius in parameter space.

Definition at line 228 of file itkOnePlusOneEvolutionaryOptimizer.h.

m_Maximize

bool itk::OnePlusOneEvolutionaryOptimizer::m_Maximize {}

private

Set if the Metric should be maximized: Default = False

Definition at line 221 of file itkOnePlusOneEvolutionaryOptimizer.h.

m_MaximumIteration

unsigned int itk::OnePlusOneEvolutionaryOptimizer::m_MaximumIteration {}

private

Maximum iteration limit.

Definition at line 212 of file itkOnePlusOneEvolutionaryOptimizer.h.

m_MetricWorstPossibleValue

double itk::OnePlusOneEvolutionaryOptimizer::m_MetricWorstPossibleValue {}

private

Definition at line 218 of file itkOnePlusOneEvolutionaryOptimizer.h.

m_RandomGenerator

NormalVariateGeneratorType::Pointer itk::OnePlusOneEvolutionaryOptimizer::m_RandomGenerator {}

private

Smart pointer to the normal random variate generator.

Definition at line 209 of file itkOnePlusOneEvolutionaryOptimizer.h.

m_ShrinkFactor

double itk::OnePlusOneEvolutionaryOptimizer::m_ShrinkFactor {}

private

Search radius shrink factor in parameter space,

Definition at line 234 of file itkOnePlusOneEvolutionaryOptimizer.h.

m_Stop

bool itk::OnePlusOneEvolutionaryOptimizer::m_Stop {}

private

This is user-settable flag to stop optimization. when users call StartOptimization, this value will be set false. By calling StopOptimization, this flag will be set true, and optimization will stop at the next iteration.

Definition at line 246 of file itkOnePlusOneEvolutionaryOptimizer.h.

m_StopConditionDescription

std::ostringstream itk::OnePlusOneEvolutionaryOptimizer::m_StopConditionDescription {}

private

Stop description

Definition at line 249 of file itkOnePlusOneEvolutionaryOptimizer.h.

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

• itkOnePlusOneEvolutionaryOptimizer.h