Provides the interface to evaluate trust-region model functions. More...

#include <ROL_TrustRegionModel_U.hpp>

Inheritance diagram for ROL::TrustRegionModel_U< Real >:

Public Member Functions
virtual	~TrustRegionModel_U ()

	TrustRegionModel_U (ParameterList &list, const Ptr< Secant< Real >> &secant=nullPtr, ESecantMode mode=SECANTMODE_BOTH)

void	initialize (const Vector< Real > &x, const Vector< Real > &g)

void	validate (Objective< Real > &obj, const Vector< Real > &x, const Vector< Real > &g, ETrustRegionU etr)

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

void	update (const Vector< Real > &x, const Vector< Real > &s, const Vector< Real > &gold, const Vector< Real > &gnew, const Real snorm, const int iter)

virtual Real	value (const Vector< Real > &s, Real &tol) override
	Compute value. More...

virtual void	gradient (Vector< Real > &g, const Vector< Real > &s, Real &tol) override
	Compute gradient. More...

virtual void	hessVec (Vector< Real > &hv, const Vector< Real > &v, const Vector< Real > &s, Real &tol) override
	Apply Hessian approximation to vector. More...

virtual void	invHessVec (Vector< Real > &hv, const Vector< Real > &v, const Vector< Real > &s, Real &tol) override
	Apply inverse Hessian approximation to vector. More...

virtual void	precond (Vector< Real > &Pv, const Vector< Real > &v, const Vector< Real > &s, Real &tol) override
	Apply preconditioner to vector. More...

virtual const Ptr< const Vector< Real > >	getGradient (void) const

virtual const Ptr< const Vector< Real > >	getIterate (void) const

virtual const Ptr< Objective < Real > >	getObjective (void) const

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

	Objective ()

virtual void	update (const Vector< Real > &x, UpdateType type, int iter=-1)
	Update objective function. More...

virtual void	update (const Vector< Real > &x, bool flag=true, int iter=-1)
	Update objective function. More...

virtual Real	dirDeriv (const Vector< Real > &x, const Vector< Real > &d, Real &tol)
	Compute directional derivative. More...

virtual void	prox (Vector< Real > &Pv, const Vector< Real > &v, Real t, Real &tol)

virtual std::vector < std::vector< Real > >	checkGradient (const Vector< Real > &x, const Vector< Real > &d, const bool printToStream=true, std::ostream &outStream=std::cout, const int numSteps=ROL_NUM_CHECKDERIV_STEPS, const int order=1)
	Finite-difference gradient check. More...

virtual std::vector < std::vector< Real > >	checkGradient (const Vector< Real > &x, const Vector< Real > &g, const Vector< Real > &d, const bool printToStream=true, std::ostream &outStream=std::cout, const int numSteps=ROL_NUM_CHECKDERIV_STEPS, const int order=1)
	Finite-difference gradient check. More...

virtual std::vector < std::vector< Real > >	checkGradient (const Vector< Real > &x, const Vector< Real > &d, const std::vector< Real > &steps, const bool printToStream=true, std::ostream &outStream=std::cout, const int order=1)
	Finite-difference gradient check with specified step sizes. More...

virtual std::vector < std::vector< Real > >	checkGradient (const Vector< Real > &x, const Vector< Real > &g, const Vector< Real > &d, const std::vector< Real > &steps, const bool printToStream=true, std::ostream &outStream=std::cout, const int order=1)
	Finite-difference gradient check with specified step sizes. More...

virtual std::vector < std::vector< Real > >	checkHessVec (const Vector< Real > &x, const Vector< Real > &v, const bool printToStream=true, std::ostream &outStream=std::cout, const int numSteps=ROL_NUM_CHECKDERIV_STEPS, const int order=1)
	Finite-difference Hessian-applied-to-vector check. More...

virtual std::vector < std::vector< Real > >	checkHessVec (const Vector< Real > &x, const Vector< Real > &hv, const Vector< Real > &v, const bool printToStream=true, std::ostream &outStream=std::cout, const int numSteps=ROL_NUM_CHECKDERIV_STEPS, const int order=1)
	Finite-difference Hessian-applied-to-vector check. More...

virtual std::vector < std::vector< Real > >	checkHessVec (const Vector< Real > &x, const Vector< Real > &v, const std::vector< Real > &steps, const bool printToStream=true, std::ostream &outStream=std::cout, const int order=1)
	Finite-difference Hessian-applied-to-vector check with specified step sizes. More...

virtual std::vector < std::vector< Real > >	checkHessVec (const Vector< Real > &x, const Vector< Real > &hv, const Vector< Real > &v, const std::vector< Real > &steps, const bool printToStream=true, std::ostream &outStream=std::cout, const int order=1)
	Finite-difference Hessian-applied-to-vector check with specified step sizes. More...

virtual std::vector< Real >	checkHessSym (const Vector< Real > &x, const Vector< Real > &v, const Vector< Real > &w, const bool printToStream=true, std::ostream &outStream=std::cout)
	Hessian symmetry check. More...

virtual std::vector< Real >	checkHessSym (const Vector< Real > &x, const Vector< Real > &hv, const Vector< Real > &v, const Vector< Real > &w, const bool printToStream=true, std::ostream &outStream=std::cout)
	Hessian symmetry check. More...

virtual void	setParameter (const std::vector< Real > &param)

Protected Member Functions
void	applyHessian (Vector< Real > &hv, const Vector< Real > &v, Real &tol)

void	applyInvHessian (Vector< Real > &hv, const Vector< Real > &v, Real &tol)

void	applyPrecond (Vector< Real > &Pv, const Vector< Real > &v, Real &tol)

Protected Member Functions inherited from ROL::Objective< Real >
const std::vector< Real >	getParameter (void) const

Private Attributes
Ptr< Objective< Real > >	obj_

Ptr< const Vector< Real > >	x_

Ptr< const Vector< Real > >	g_

Ptr< Vector< Real > >	dual_

Real	tol_

Ptr< Secant< Real > >	secant_

bool	useSecantPrecond_

bool	useSecantHessVec_

Detailed Description

template<typename Real>
class ROL::TrustRegionModel_U< Real >

Provides the interface to evaluate trust-region model functions.

ROL::TrustRegionModel_U provides the interface to implement a number of trust-region models for unconstrained and constrained optimization. The default implementation is the standard quadratic trust region model for unconstrained optimization.

Definition at line 66 of file ROL_TrustRegionModel_U.hpp.

Constructor & Destructor Documentation

template<typename Real>

virtual ROL::TrustRegionModel_U< Real >::~TrustRegionModel_U ( )

inlinevirtual

Definition at line 113 of file ROL_TrustRegionModel_U.hpp.

template<typename Real>

ROL::TrustRegionModel_U< Real >::TrustRegionModel_U	(	ParameterList &	list,
		const Ptr< Secant< Real >> &	secant = `nullPtr`,
		ESecantMode	mode = `SECANTMODE_BOTH`
	)

inline

Definition at line 115 of file ROL_TrustRegionModel_U.hpp.

References ROL::TrustRegionModel_U< Real >::secant_, ROL::TrustRegionModel_U< Real >::useSecantHessVec_, and ROL::TrustRegionModel_U< Real >::useSecantPrecond_.

Member Function Documentation

template<typename Real>

void ROL::TrustRegionModel_U< Real >::applyHessian	(	Vector< Real > &	hv,
		const Vector< Real > &	v,
		Real &	tol
	)

inlineprotected

Definition at line 81 of file ROL_TrustRegionModel_U.hpp.

References ROL::TrustRegionModel_U< Real >::obj_, ROL::TrustRegionModel_U< Real >::secant_, ROL::TrustRegionModel_U< Real >::tol_, ROL::TrustRegionModel_U< Real >::useSecantHessVec_, and ROL::TrustRegionModel_U< Real >::x_.

Referenced by ROL::TrustRegionModel_U< Real >::gradient(), ROL::TrustRegionModel_U< Real >::hessVec(), and ROL::TrustRegionModel_U< Real >::value().

template<typename Real>

void ROL::TrustRegionModel_U< Real >::applyInvHessian	(	Vector< Real > &	hv,
		const Vector< Real > &	v,
		Real &	tol
	)

inlineprotected

Definition at line 90 of file ROL_TrustRegionModel_U.hpp.

References ROL::TrustRegionModel_U< Real >::obj_, ROL::TrustRegionModel_U< Real >::secant_, ROL::TrustRegionModel_U< Real >::tol_, ROL::TrustRegionModel_U< Real >::useSecantHessVec_, and ROL::TrustRegionModel_U< Real >::x_.

Referenced by ROL::TrustRegionModel_U< Real >::invHessVec().

template<typename Real>

void ROL::TrustRegionModel_U< Real >::applyPrecond	(	Vector< Real > &	Pv,
		const Vector< Real > &	v,
		Real &	tol
	)

inlineprotected

Definition at line 99 of file ROL_TrustRegionModel_U.hpp.

References ROL::TrustRegionModel_U< Real >::obj_, ROL::TrustRegionModel_U< Real >::secant_, ROL::TrustRegionModel_U< Real >::tol_, ROL::TrustRegionModel_U< Real >::useSecantPrecond_, and ROL::TrustRegionModel_U< Real >::x_.

Referenced by ROL::TrustRegionModel_U< Real >::precond().

template<typename Real>

void ROL::TrustRegionModel_U< Real >::initialize	(	const Vector< Real > &	x,
		const Vector< Real > &	g
	)

inline

Definition at line 125 of file ROL_TrustRegionModel_U.hpp.

References ROL::Vector< Real >::clone(), and ROL::TrustRegionModel_U< Real >::dual_.

template<typename Real>

void ROL::TrustRegionModel_U< Real >::validate	(	Objective< Real > &	obj,
		const Vector< Real > &	x,
		const Vector< Real > &	g,
		ETrustRegionU	etr
	)

inline

Definition at line 133 of file ROL_TrustRegionModel_U.hpp.

References ROL::Vector< Real >::clone(), ROL::Objective< Real >::invHessVec(), ROL::TRUSTREGION_U_DOGLEG, ROL::TRUSTREGION_U_DOUBLEDOGLEG, and ROL::TrustRegionModel_U< Real >::useSecantHessVec_.

template<typename Real>

virtual void ROL::TrustRegionModel_U< Real >::setData	(	Objective< Real > &	obj,
		const Vector< Real > &	x,
		const Vector< Real > &	g,
		Real &	tol
	)

inlinevirtual

Definition at line 151 of file ROL_TrustRegionModel_U.hpp.

References ROL::TrustRegionModel_U< Real >::g_, ROL::TrustRegionModel_U< Real >::obj_, ROL::TrustRegionModel_U< Real >::tol_, and ROL::TrustRegionModel_U< Real >::x_.

Referenced by ROL::TRUtils::initialRadius().

template<typename Real>

void ROL::TrustRegionModel_U< Real >::update	(	const Vector< Real > &	x,
		const Vector< Real > &	s,
		const Vector< Real > &	gold,
		const Vector< Real > &	gnew,
		const Real	snorm,
		const int	iter
	)

inline

Definition at line 161 of file ROL_TrustRegionModel_U.hpp.

References ROL::TrustRegionModel_U< Real >::secant_, ROL::TrustRegionModel_U< Real >::useSecantHessVec_, and ROL::TrustRegionModel_U< Real >::useSecantPrecond_.

template<typename Real>

virtual Real ROL::TrustRegionModel_U< Real >::value	(	const Vector< Real > &	x,
		Real &	tol
	)

inlineoverridevirtual

Compute value.

This function returns the objective function value.

Parameters

[in]	x	is the current iterate.
[in]	tol	is a tolerance for inexact objective function computation.

Implements ROL::Objective< Real >.

Definition at line 172 of file ROL_TrustRegionModel_U.hpp.

References ROL::TrustRegionModel_U< Real >::applyHessian(), ROL::TrustRegionModel_U< Real >::dual_, and ROL::TrustRegionModel_U< Real >::g_.

template<typename Real>

virtual void ROL::TrustRegionModel_U< Real >::gradient	(	Vector< Real > &	g,
		const Vector< Real > &	x,
		Real &	tol
	)

inlineoverridevirtual

Compute gradient.

This function returns the objective function gradient.

Parameters

[out]	g	is the gradient.
[in]	x	is the current iterate.
[in]	tol	is a tolerance for inexact objective function computation.

The default implementation is a finite-difference approximation based on the function value. This requires the definition of a basis \(\{\phi_i\}\) for the optimization vectors x and the definition of a basis \(\{\psi_j\}\) for the dual optimization vectors (gradient vectors g). The bases must be related through the Riesz map, i.e., \( R \{\phi_i\} = \{\psi_j\}\), and this must be reflected in the implementation of the ROL::Vector::dual() method.

Reimplemented from ROL::Objective< Real >.

Definition at line 179 of file ROL_TrustRegionModel_U.hpp.

References ROL::TrustRegionModel_U< Real >::applyHessian(), ROL::TrustRegionModel_U< Real >::g_, and ROL::Vector< Real >::plus().

template<typename Real>

virtual void ROL::TrustRegionModel_U< Real >::hessVec	(	Vector< Real > &	hv,
		const Vector< Real > &	v,
		const Vector< Real > &	x,
		Real &	tol
	)

inlineoverridevirtual

Apply Hessian approximation to vector.

This function applies the Hessian of the objective function to the vector \(v\).

Parameters

[out]	hv	is the the action of the Hessian on \(v\).
[in]	v	is the direction vector.
[in]	x	is the current iterate.
[in]	tol	is a tolerance for inexact objective function computation.

Reimplemented from ROL::Objective< Real >.

Definition at line 184 of file ROL_TrustRegionModel_U.hpp.

References ROL::TrustRegionModel_U< Real >::applyHessian().

Referenced by ROL::TypeB::KelleySachsAlgorithm< Real >::applyFreeHessian(), ROL::TypeB::LinMoreAlgorithm< Real >::applyFreeHessian(), ROL::TypeB::ColemanLiAlgorithm< Real >::applyHessian(), ROL::TypeB::TrustRegionSPGAlgorithm< Real >::dcauchy(), ROL::TypeB::LinMoreAlgorithm< Real >::dcauchy(), ROL::TypeP::TrustRegionAlgorithm< Real >::dcauchy(), ROL::TypeP::TrustRegionAlgorithm< Real >::dncg(), ROL::TypeB::LinMoreAlgorithm< Real >::dprsrch(), ROL::TypeB::TrustRegionSPGAlgorithm< Real >::dpsg(), ROL::TypeB::TrustRegionSPGAlgorithm< Real >::dpsg_simple(), ROL::TypeP::TrustRegionAlgorithm< Real >::dspg(), ROL::TypeP::TrustRegionAlgorithm< Real >::dspg2(), ROL::TRUtils::initialRadius(), ROL::CauchyPoint_U< Real >::solve(), ROL::DoubleDogLeg_U< Real >::solve(), ROL::DogLeg_U< Real >::solve(), ROL::TruncatedCG_U< Real >::solve(), and ROL::SPGTrustRegion_U< Real >::solve().

template<typename Real>

virtual void ROL::TrustRegionModel_U< Real >::invHessVec	(	Vector< Real > &	hv,
		const Vector< Real > &	v,
		const Vector< Real > &	x,
		Real &	tol
	)

inlineoverridevirtual

Apply inverse Hessian approximation to vector.

This function applies the inverse Hessian of the objective function to the vector \(v\).

Parameters

[out]	hv	is the action of the inverse Hessian on \(v\).
[in]	v	is the direction vector.
[in]	x	is the current iterate.
[in]	tol	is a tolerance for inexact objective function computation.

Reimplemented from ROL::Objective< Real >.

Definition at line 188 of file ROL_TrustRegionModel_U.hpp.

References ROL::TrustRegionModel_U< Real >::applyInvHessian().

Referenced by ROL::DoubleDogLeg_U< Real >::solve(), and ROL::DogLeg_U< Real >::solve().

template<typename Real>

virtual void ROL::TrustRegionModel_U< Real >::precond	(	Vector< Real > &	Pv,
		const Vector< Real > &	v,
		const Vector< Real > &	x,
		Real &	tol
	)

inlineoverridevirtual

Apply preconditioner to vector.

This function applies a preconditioner for the Hessian of the objective function to the vector \(v\).

Parameters

[out]	Pv	is the action of the Hessian preconditioner on \(v\).
[in]	v	is the direction vector.
[in]	x	is the current iterate.
[in]	tol	is a tolerance for inexact objective function computation.