#include <ROL_PD_HMCR2.hpp>

Inheritance diagram for ROL::PD_HMCR2< Real >:

Public Member Functions
	PD_HMCR2 (const Real beta)

void	setStorage (const Ptr< SampledScalar< Real >> &value_storage, const Ptr< SampledVector< Real >> &gradient_storage)

void	setHessVecStorage (const Ptr< SampledScalar< Real >> &gradvec_storage, const Ptr< SampledVector< Real >> &hessvec_storage)

Real	computeDual (SampleGenerator< Real > &sampler)

void	initialize (const Vector< Real > &x)
	Initialize temporary variables. More...

void	updateValue (Objective< Real > &obj, const Vector< Real > &x, const std::vector< Real > &xstat, Real &tol)
	Update internal storage for value computation. More...

Real	getValue (const Vector< Real > &x, const std::vector< Real > &xstat, SampleGenerator< Real > &sampler)
	Return risk measure value. More...

void	updateGradient (Objective< Real > &obj, const Vector< Real > &x, const std::vector< Real > &xstat, Real &tol)
	Update internal risk measure storage for gradient computation. More...

void	getGradient (Vector< Real > &g, std::vector< Real > &gstat, const Vector< Real > &x, const std::vector< Real > &xstat, SampleGenerator< Real > &sampler)
	Return risk measure (sub)gradient. More...

void	updateHessVec (Objective< Real > &obj, const Vector< Real > &v, const std::vector< Real > &vstat, const Vector< Real > &x, const std::vector< Real > &xstat, Real &tol)
	Update internal risk measure storage for Hessian-time-a-vector computation. More...

void	getHessVec (Vector< Real > &hv, std::vector< Real > &hvstat, const Vector< Real > &v, const std::vector< Real > &vstat, const Vector< Real > &x, const std::vector< Real > &xstat, SampleGenerator< Real > &sampler)
	Return risk measure Hessian-times-a-vector. More...

Public Member Functions inherited from ROL::PD_RandVarFunctional< Real >
	PD_RandVarFunctional (void)

void	setData (SampleGenerator< Real > &sampler, const Real pen, const Real lam=0.0)

void	updateDual (SampleGenerator< Real > &sampler)

void	updatePenalty (const Real pen)

Public Member Functions inherited from ROL::RandVarFunctional< Real >
virtual	~RandVarFunctional ()

	RandVarFunctional (void)

	weight_ (0)

void	useStorage (bool storage)

void	useHessVecStorage (bool storage)

virtual void	resetStorage (bool flag=true)
	Reset internal storage. More...

virtual void	setSample (const std::vector< Real > &point, const Real weight)

virtual Real	computeStatistic (const Ptr< const std::vector< Real >> &xstat) const
	Compute statistic. More...

Private Member Functions
void	initializeStorage (void)

void	clear (void)

void	checkInputs (void)

Private Attributes
Real	beta_

Real	mScalar1_

Real	mScalar2_

Ptr< SampledScalar< Real > >	values_

Ptr< SampledScalar< Real > >	gradvecs_

Ptr< SampledVector< Real > >	gradients_

Ptr< SampledVector< Real > >	hessvecs_

Additional Inherited Members
Protected Member Functions inherited from ROL::PD_RandVarFunctional< Real >
void	setValue (const Real val, const std::vector< Real > &pt)

void	getMultiplier (Real &lam, const std::vector< Real > &pt) const

void	setMultiplier (Real &lam, const std::vector< Real > &pt)

Real	getPenaltyParameter (void) const

Real	ppf (const Real x, const Real t, const Real r, const int deriv=0) const

Protected Member Functions inherited from ROL::RandVarFunctional< Real >
Real	computeValue (Objective< Real > &obj, const Vector< Real > &x, Real &tol)

void	computeGradient (Vector< Real > &g, Objective< Real > &obj, const Vector< Real > &x, Real &tol)

Real	computeGradVec (Vector< Real > &g, Objective< Real > &obj, const Vector< Real > &v, const Vector< Real > &x, Real &tol)

void	computeHessVec (Vector< Real > &hv, Objective< Real > &obj, const Vector< Real > &v, const Vector< Real > &x, Real &tol)

Protected Attributes inherited from ROL::RandVarFunctional< Real >
Real	val_

Real	gv_

Ptr< Vector< Real > >	g_

Ptr< Vector< Real > >	hv_

Ptr< Vector< Real > >	dualVector_

bool	firstReset_

std::vector< Real >	point_

Real	weight_

Detailed Description

template<class Real>
class ROL::PD_HMCR2< Real >

Definition at line 53 of file ROL_PD_HMCR2.hpp.

Constructor & Destructor Documentation

template<class Real >

ROL::PD_HMCR2< Real >::PD_HMCR2 ( const Real beta )

inline

Definition at line 105 of file ROL_PD_HMCR2.hpp.

References ROL::PD_HMCR2< Real >::checkInputs().

Member Function Documentation

template<class Real >

void ROL::PD_HMCR2< Real >::initializeStorage ( void )

inlineprivate

Definition at line 82 of file ROL_PD_HMCR2.hpp.

References ROL::PD_HMCR2< Real >::gradients_, ROL::PD_HMCR2< Real >::gradvecs_, ROL::PD_HMCR2< Real >::hessvecs_, ROL::RandVarFunctional< Real >::setHessVecStorage(), ROL::RandVarFunctional< Real >::setStorage(), and ROL::PD_HMCR2< Real >::values_.

Referenced by ROL::PD_HMCR2< Real >::checkInputs().

template<class Real >

void ROL::PD_HMCR2< Real >::clear ( void )

inlineprivate

Definition at line 92 of file ROL_PD_HMCR2.hpp.

References ROL::PD_HMCR2< Real >::gradvecs_, and ROL::PD_HMCR2< Real >::hessvecs_.

Referenced by ROL::PD_HMCR2< Real >::initialize().

template<class Real >

void ROL::PD_HMCR2< Real >::checkInputs ( void )

inlineprivate

Definition at line 97 of file ROL_PD_HMCR2.hpp.

References ROL::PD_HMCR2< Real >::beta_, ROL::PD_HMCR2< Real >::initializeStorage(), and zero.

Referenced by ROL::PD_HMCR2< Real >::PD_HMCR2().

template<class Real >

void ROL::PD_HMCR2< Real >::setStorage	(	const Ptr< SampledScalar< Real >> &	value_storage,
		const Ptr< SampledVector< Real >> &	gradient_storage
	)

inlinevirtual

Reimplemented from ROL::PD_RandVarFunctional< Real >.

Definition at line 110 of file ROL_PD_HMCR2.hpp.

References ROL::PD_HMCR2< Real >::gradients_, ROL::PD_RandVarFunctional< Real >::setStorage(), and ROL::PD_HMCR2< Real >::values_.

template<class Real >

void ROL::PD_HMCR2< Real >::setHessVecStorage	(	const Ptr< SampledScalar< Real >> &	gradvec_storage,
		const Ptr< SampledVector< Real >> &	hessvec_storage
	)

inlinevirtual

Reimplemented from ROL::PD_RandVarFunctional< Real >.

Definition at line 117 of file ROL_PD_HMCR2.hpp.

References ROL::PD_HMCR2< Real >::gradvecs_, ROL::PD_HMCR2< Real >::hessvecs_, and ROL::PD_RandVarFunctional< Real >::setHessVecStorage().

template<class Real >

Real ROL::PD_HMCR2< Real >::computeDual ( SampleGenerator< Real > & sampler )

inlinevirtual

Reimplemented from ROL::PD_RandVarFunctional< Real >.

Definition at line 124 of file ROL_PD_HMCR2.hpp.

References ROL::PD_RandVarFunctional< Real >::getMultiplier(), ROL::SampleGenerator< Real >::getMyPoint(), ROL::SampleGenerator< Real >::getMyWeight(), ROL::PD_RandVarFunctional< Real >::getPenaltyParameter(), ROL::SampleGenerator< Real >::numMySamples(), ROL::PD_RandVarFunctional< Real >::setMultiplier(), ROL::SampleGenerator< Real >::start(), ROL::SampleGenerator< Real >::sumAll(), ROL::PD_HMCR2< Real >::values_, and zero.

template<class Real >

void ROL::PD_HMCR2< Real >::initialize ( const Vector< Real > & x )

inlinevirtual

Initialize temporary variables.

Parameters

[in] x is a vector used for initializing storage

Reimplemented from ROL::PD_RandVarFunctional< Real >.

Definition at line 147 of file ROL_PD_HMCR2.hpp.

References ROL::PD_HMCR2< Real >::clear(), ROL::PD_RandVarFunctional< Real >::initialize(), ROL::PD_HMCR2< Real >::mScalar1_, and ROL::PD_HMCR2< Real >::mScalar2_.

template<class Real >

void ROL::PD_HMCR2< Real >::updateValue	(	Objective< Real > &	obj,
		const Vector< Real > &	x,
		const std::vector< Real > &	xstat,
		Real &	tol
	)

inlinevirtual

Update internal storage for value computation.

Parameters

[in]	val	is the value of the random variable objective function at the current sample point
[in]	weight	is the weight associated with the current sample point

Reimplemented from ROL::RandVarFunctional< Real >.

Definition at line 154 of file ROL_PD_HMCR2.hpp.

References ROL::RandVarFunctional< Real >::computeValue(), ROL::PD_RandVarFunctional< Real >::getMultiplier(), ROL::PD_RandVarFunctional< Real >::getPenaltyParameter(), ROL::RandVarFunctional< Real >::point_, ROL::PD_RandVarFunctional< Real >::setValue(), ROL::RandVarFunctional< Real >::val_, ROL::RandVarFunctional< Real >::weight_, and zero.

template<class Real >

Real ROL::PD_HMCR2< Real >::getValue	(	const Vector< Real > &	x,
		const std::vector< Real > &	xstat,
		SampleGenerator< Real > &	sampler
	)

inlinevirtual

Return risk measure value.

Parameters

[in] sampler is the ROL::SampleGenerator used to sample the objective function

Upon return, getValue returns \(\mathcal{R}(f(x_0))\) where \(f(x_0)\) denotes the random variable objective function evaluated at \(x_0\).

Reimplemented from ROL::RandVarFunctional< Real >.

Definition at line 168 of file ROL_PD_HMCR2.hpp.

References ROL::PD_HMCR2< Real >::beta_, ROL::PD_RandVarFunctional< Real >::getPenaltyParameter(), ROL::SampleGenerator< Real >::sumAll(), and ROL::RandVarFunctional< Real >::val_.

template<class Real >

void ROL::PD_HMCR2< Real >::updateGradient	(	Objective< Real > &	obj,
		const Vector< Real > &	x,
		const std::vector< Real > &	xstat,
		Real &	tol
	)

inlinevirtual

Update internal risk measure storage for gradient computation.

Parameters

[in]	val	is the value of the random variable objective function at the current sample point
[in]	g	is the gradient of the random variable objective function at the current sample point
[in]	weight	is the weight associated with the current sample point

Reimplemented from ROL::RandVarFunctional< Real >.

Definition at line 182 of file ROL_PD_HMCR2.hpp.

References ROL::RandVarFunctional< Real >::computeGradient(), ROL::RandVarFunctional< Real >::computeValue(), ROL::RandVarFunctional< Real >::dualVector_, ROL::RandVarFunctional< Real >::g_, ROL::PD_RandVarFunctional< Real >::getMultiplier(), ROL::PD_RandVarFunctional< Real >::getPenaltyParameter(), ROL::RandVarFunctional< Real >::gv_, ROL::RandVarFunctional< Real >::point_, ROL::RandVarFunctional< Real >::val_, ROL::RandVarFunctional< Real >::weight_, and zero.

template<class Real >

void ROL::PD_HMCR2< Real >::getGradient	(	Vector< Real > &	g,
		std::vector< Real > &	gstat,
		const Vector< Real > &	x,
		const std::vector< Real > &	xstat,
		SampleGenerator< Real > &	sampler
	)

inlinevirtual

Return risk measure (sub)gradient.

Parameters

[out]	g	is the (sub)gradient of the risk measure
[in]	sampler	is the ROL::SampleGenerator used to sample the objective function

Upon return, getGradient returns \(\theta\in\partial\mathcal{R}(f(x_0))\) where \(f(x_0)\) denotes the random variable objective function evaluated at \(x_0\) and \(\partial\mathcal{R}(X)\) denotes the subdifferential of \(\mathcal{R}\) at \(X\).

Reimplemented from ROL::RandVarFunctional< Real >.

Definition at line 200 of file ROL_PD_HMCR2.hpp.

References ROL::PD_HMCR2< Real >::beta_, ROL::RandVarFunctional< Real >::g_, ROL::PD_RandVarFunctional< Real >::getPenaltyParameter(), ROL::RandVarFunctional< Real >::gv_, ROL::Vector< Real >::scale(), ROL::SampleGenerator< Real >::sumAll(), and ROL::RandVarFunctional< Real >::val_.

template<class Real >

void ROL::PD_HMCR2< Real >::updateHessVec	(	Objective< Real > &	obj,
		const Vector< Real > &	v,
		const std::vector< Real > &	vstat,
		const Vector< Real > &	x,
		const std::vector< Real > &	xstat,
		Real &	tol
	)

inlinevirtual

Update internal risk measure storage for Hessian-time-a-vector computation.

Parameters

[in]	val	is the value of the random variable objective function at the current sample point
[in]	g	is the gradient of the random variable objective function at the current sample point
[in]	gv	is the gradient of the random variable objective function at the current sample point applied to the vector v0
[in]	hv	is the Hessian of the random variable objective function at the current sample point applied to the vector v0
[in]	weight	is the weight associated with the current sample point

Reimplemented from ROL::RandVarFunctional< Real >.

Definition at line 219 of file ROL_PD_HMCR2.hpp.

template<class Real >

void ROL::PD_HMCR2< Real >::getHessVec	(	Vector< Real > &	hv,
		std::vector< Real > &	hvstat,
		const Vector< Real > &	v,
		const std::vector< Real > &	vstat,
		const Vector< Real > &	x,
		const std::vector< Real > &	xstat,
		SampleGenerator< Real > &	sampler
	)

inlinevirtual

Return risk measure Hessian-times-a-vector.

Parameters

[out]	hv	is the Hessian-times-a-vector of the risk measure
[in]	sampler	is the ROL::SampleGenerator used to sample the objective function

Upon return, getHessVec returns \(\nabla^2 \mathcal{R}(f(x_0))v_0\) (if available) where \(f(x_0)\) denotes the random variable objective function evaluated at \(x_0\).

Reimplemented from ROL::RandVarFunctional< Real >.

Definition at line 245 of file ROL_PD_HMCR2.hpp.

References ROL::Vector< Real >::axpy(), ROL::PD_HMCR2< Real >::beta_, ROL::RandVarFunctional< Real >::dualVector_, ROL::RandVarFunctional< Real >::g_, ROL::PD_RandVarFunctional< Real >::getPenaltyParameter(), ROL::RandVarFunctional< Real >::gv_, ROL::RandVarFunctional< Real >::hv_, ROL::PD_HMCR2< Real >::mScalar1_, ROL::PD_HMCR2< Real >::mScalar2_, ROL::Vector< Real >::scale(), ROL::SampleGenerator< Real >::sumAll(), and ROL::RandVarFunctional< Real >::val_.