#include <ROL_QuantileRadius.hpp>

Inheritance diagram for ROL::QuantileRadius< Real >:

Public Member Functions
	QuantileRadius (ROL::ParameterList &parlist)

	QuantileRadius (const Real prob, const Real coeff, const Ptr< PlusFunction< Real > > &pf)

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

Real	computeStatistic (const Ptr< std::vector< Real >> &xstat) const

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::RandVarFunctional< Real >
virtual	~RandVarFunctional ()

	RandVarFunctional (void)

	weight_ (0)

void	useStorage (bool storage)

void	useHessVecStorage (bool storage)

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

virtual void	setHessVecStorage (const Ptr< SampledScalar< Real >> &gradvec_storage, const Ptr< SampledVector< Real >> &hessvec_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	initializeQR (void)

void	checkInputs (void)

Private Attributes
Ptr< PlusFunction< Real > >	plusFunction_

Real	prob_

Real	coeff_

std::vector< Real >	vec_

Additional Inherited Members
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::QuantileRadius< Real >

Definition at line 55 of file ROL_QuantileRadius.hpp.

Constructor & Destructor Documentation

template<class Real >

ROL::QuantileRadius< Real >::QuantileRadius ( ROL::ParameterList & parlist )

inline

Definition at line 94 of file ROL_QuantileRadius.hpp.

References ROL::QuantileRadius< Real >::checkInputs(), ROL::QuantileRadius< Real >::coeff_, ROL::QuantileRadius< Real >::plusFunction_, and ROL::QuantileRadius< Real >::prob_.

template<class Real >

ROL::QuantileRadius< Real >::QuantileRadius	(	const Real	prob,
		const Real	coeff,
		const Ptr< PlusFunction< Real > > &	pf
	)

inline

Definition at line 106 of file ROL_QuantileRadius.hpp.

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

Member Function Documentation

template<class Real >

void ROL::QuantileRadius< Real >::initializeQR ( void )

inlineprivate

Definition at line 76 of file ROL_QuantileRadius.hpp.

References ROL::QuantileRadius< Real >::vec_, and zero.

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

template<class Real >

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

inlineprivate

Definition at line 82 of file ROL_QuantileRadius.hpp.

References ROL::QuantileRadius< Real >::coeff_, ROL::QuantileRadius< Real >::initializeQR(), ROL::QuantileRadius< Real >::prob_, and zero.

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

template<class Real >

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

inlinevirtual

Initialize temporary variables.

Parameters

[in] x is a vector used for initializing storage

Reimplemented from ROL::RandVarFunctional< Real >.

Definition at line 112 of file ROL_QuantileRadius.hpp.

References ROL::RandVarFunctional< Real >::initialize(), and ROL::QuantileRadius< Real >::vec_.

template<class Real >

Real ROL::QuantileRadius< Real >::computeStatistic ( const Ptr< std::vector< Real >> & xstat ) const

inline

Definition at line 117 of file ROL_QuantileRadius.hpp.

template<class Real >

void ROL::QuantileRadius< 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 125 of file ROL_QuantileRadius.hpp.

References ROL::QuantileRadius< Real >::coeff_, ROL::RandVarFunctional< Real >::computeValue(), ROL::QuantileRadius< Real >::plusFunction_, ROL::QuantileRadius< Real >::prob_, and ROL::RandVarFunctional< Real >::weight_.

template<class Real >

Real ROL::QuantileRadius< 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 136 of file ROL_QuantileRadius.hpp.

References ROL::QuantileRadius< Real >::coeff_, ROL::SampleGenerator< Real >::sumAll(), and ROL::RandVarFunctional< Real >::val_.

template<class Real >

void ROL::QuantileRadius< 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 146 of file ROL_QuantileRadius.hpp.

References ROL::QuantileRadius< Real >::coeff_, ROL::RandVarFunctional< Real >::computeGradient(), ROL::RandVarFunctional< Real >::computeValue(), ROL::RandVarFunctional< Real >::dualVector_, ROL::RandVarFunctional< Real >::g_, ROL::QuantileRadius< Real >::plusFunction_, ROL::QuantileRadius< Real >::prob_, ROL::QuantileRadius< Real >::vec_, and ROL::RandVarFunctional< Real >::weight_.

template<class Real >

void ROL::QuantileRadius< 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 161 of file ROL_QuantileRadius.hpp.

References ROL::QuantileRadius< Real >::coeff_, ROL::RandVarFunctional< Real >::g_, ROL::SampleGenerator< Real >::sumAll(), and ROL::QuantileRadius< Real >::vec_.

template<class Real >

void ROL::QuantileRadius< 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 173 of file ROL_QuantileRadius.hpp.

References ROL::QuantileRadius< Real >::coeff_, ROL::RandVarFunctional< Real >::computeGradVec(), ROL::RandVarFunctional< Real >::computeHessVec(), ROL::RandVarFunctional< Real >::computeValue(), ROL::RandVarFunctional< Real >::dualVector_, ROL::RandVarFunctional< Real >::hv_, ROL::QuantileRadius< Real >::plusFunction_, ROL::QuantileRadius< Real >::prob_, ROL::QuantileRadius< Real >::vec_, and ROL::RandVarFunctional< Real >::weight_.

template<class Real >

void ROL::QuantileRadius< 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 194 of file ROL_QuantileRadius.hpp.

References ROL::RandVarFunctional< Real >::hv_, ROL::SampleGenerator< Real >::sumAll(), and ROL::QuantileRadius< Real >::vec_.