ROL
Public Member Functions | Private Attributes | List of all members
ROL::ProjectedObjective< Real > Class Template Reference

#include <ROL_HelperFunctions.hpp>

+ Inheritance diagram for ROL::ProjectedObjective< Real >:

Public Member Functions

 ProjectedObjective (Objective< Real > &obj, BoundConstraint< Real > &con, ROL::Ptr< Secant< Real > > &secant, bool useSecantPrecond=false, bool useSecantHessVec=false, Real eps=0.0)
 
void update (const Vector< Real > &x, bool flag=true, int iter=-1)
 Update objective function. More...
 
Real value (const Vector< Real > &x, Real &tol)
 Compute value. More...
 
void gradient (Vector< Real > &g, const Vector< Real > &x, Real &tol)
 Compute gradient. More...
 
Real dirDeriv (const Vector< Real > &x, const Vector< Real > &d, Real &tol)
 Compute directional derivative. More...
 
void hessVec (Vector< Real > &Hv, const Vector< Real > &v, const Vector< Real > &x, Real &tol)
 Apply Hessian approximation to vector. More...
 
void invHessVec (Vector< Real > &Hv, const Vector< Real > &v, const Vector< Real > &x, Real &tol)
 Apply inverse Hessian approximation to vector. More...
 
void precond (Vector< Real > &Mv, const Vector< Real > &v, const Vector< Real > &x, Real &tol)
 Apply preconditioner to vector. More...
 
void reducedHessVec (Vector< Real > &Hv, const Vector< Real > &v, const Vector< Real > &p, const Vector< Real > &d, const Vector< Real > &x, Real &tol)
 Apply the reduced Hessian to a vector, v. The reduced Hessian first removes elements of v corresponding to the feasible indices from the point p in the direction -d. Hv the Hessian times a vector v input vector p starting point for tangent cone d negative of search direction x current iteration vector tol objective function tolerance. More...
 
void reducedHessVec (Vector< Real > &Hv, const Vector< Real > &v, const Vector< Real > &p, const Vector< Real > &x, Real &tol)
 Apply the reduced Hessian to a vector, v. The reduced Hessian first removes elements of v corresponding to the feasible indices from the point p. Hv the Hessian times a vector v input vector p starting point for tangent cone x current iteration vector tol objective function tolerance. More...
 
void reducedInvHessVec (Vector< Real > &Hv, const Vector< Real > &v, const Vector< Real > &p, const Vector< Real > &d, const Vector< Real > &x, Real &tol)
 Apply the reduced inverse Hessian to a vector, v. The reduced inverse Hessian first removes elements of v corresponding to the feasible indices from the point p in the direction -d. Hv the inverse Hessian times a vector v input vector p starting point for tangent cone d negative of search direction x current iteration vector tol objective function tolerance. More...
 
void reducedInvHessVec (Vector< Real > &Hv, const Vector< Real > &v, const Vector< Real > &p, const Vector< Real > &x, Real &tol)
 Apply the reduced inverse Hessian to a vector, v. The reduced inverse Hessian first removes elements of v corresponding to the feasible indices from the point p. Hv the inverse Hessian times a vector v input vector p starting point for tangent cone x current iteration vector tol objective function tolerance. More...
 
void reducedPrecond (Vector< Real > &Mv, const Vector< Real > &v, const Vector< Real > &p, const Vector< Real > &d, const Vector< Real > &x, Real &tol)
 Apply the reduced preconditioner to a vector, v. The reduced preconditioner first removes elements of v corresponding to the feasible indices from the point p in the direction -d. Hv the preconditioner times a vector v input vector p starting point for tangent cone d negative of search direction x current iteration vector tol objective function tolerance. More...
 
void reducedPrecond (Vector< Real > &Mv, const Vector< Real > &v, const Vector< Real > &p, const Vector< Real > &x, Real &tol)
 Apply the reduced preconditioner to a vector, v. The reduced preconditioner first removes elements of v corresponding to the feasible indices from the point p. Hv the preconditioner times a vector v input vector p starting point for tangent cone x current iteration vector tol objective function tolerance. More...
 
void project (Vector< Real > &x)
 
void pruneActive (Vector< Real > &v, const Vector< Real > &g, const Vector< Real > &x)
 
void pruneActive (Vector< Real > &v, const Vector< Real > &x)
 
void pruneInactive (Vector< Real > &v, const Vector< Real > &g, const Vector< Real > &x)
 
void pruneInactive (Vector< Real > &v, const Vector< Real > &x)
 
bool isFeasible (const Vector< Real > &v)
 
bool isConActivated (void)
 
void computeProjectedStep (Vector< Real > &v, const Vector< Real > &x)
 
- 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 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)
 

Private Attributes

ROL::Ptr< Objective< Real > > obj_
 
ROL::Ptr< BoundConstraint< Real > > con_
 
ROL::Ptr< Secant< Real > > secant_
 
ROL::Ptr< ROL::Vector< Real > > primalV_
 
ROL::Ptr< ROL::Vector< Real > > dualV_
 
bool isInitialized_
 
bool useSecantPrecond_
 
bool useSecantHessVec_
 
Real eps_
 

Additional Inherited Members

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

Detailed Description

template<class Real>
class ROL::ProjectedObjective< Real >

Definition at line 213 of file ROL_HelperFunctions.hpp.

Constructor & Destructor Documentation

template<class Real>
ROL::ProjectedObjective< Real >::ProjectedObjective ( Objective< Real > &  obj,
BoundConstraint< Real > &  con,
ROL::Ptr< Secant< Real > > &  secant,
bool  useSecantPrecond = false,
bool  useSecantHessVec = false,
Real  eps = 0.0 
)
inline

Member Function Documentation

template<class Real>
void ROL::ProjectedObjective< Real >::update ( const Vector< Real > &  x,
bool  flag = true,
int  iter = -1 
)
inlinevirtual

Update objective function.

This function updates the objective function at new iterations.

Parameters
[in]xis the new iterate.
[in]flagis true if the iterate has changed.
[in]iteris the outer algorithm iterations count.

Reimplemented from ROL::Objective< Real >.

Definition at line 240 of file ROL_HelperFunctions.hpp.

References ROL::ProjectedObjective< Real >::con_, and ROL::ProjectedObjective< Real >::obj_.

template<class Real>
Real ROL::ProjectedObjective< Real >::value ( const Vector< Real > &  x,
Real &  tol 
)
inlinevirtual

Compute value.

This function returns the objective function value.

Parameters
[in]xis the current iterate.
[in]tolis a tolerance for inexact objective function computation.

Implements ROL::Objective< Real >.

Definition at line 245 of file ROL_HelperFunctions.hpp.

References ROL::ProjectedObjective< Real >::obj_.

template<class Real>
void ROL::ProjectedObjective< Real >::gradient ( Vector< Real > &  g,
const Vector< Real > &  x,
Real &  tol 
)
inlinevirtual

Compute gradient.

This function returns the objective function gradient.

Parameters
[out]gis the gradient.
[in]xis the current iterate.
[in]tolis 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 249 of file ROL_HelperFunctions.hpp.

References ROL::ProjectedObjective< Real >::obj_.

template<class Real>
Real ROL::ProjectedObjective< Real >::dirDeriv ( const Vector< Real > &  x,
const Vector< Real > &  d,
Real &  tol 
)
inlinevirtual

Compute directional derivative.

This function returns the directional derivative of the objective function in the \(d\) direction.

Parameters
[in]xis the current iterate.
[in]dis the direction.
[in]tolis a tolerance for inexact objective function computation.

Reimplemented from ROL::Objective< Real >.

Definition at line 253 of file ROL_HelperFunctions.hpp.

References ROL::ProjectedObjective< Real >::obj_.

template<class Real>
void ROL::ProjectedObjective< Real >::hessVec ( Vector< Real > &  hv,
const Vector< Real > &  v,
const Vector< Real > &  x,
Real &  tol 
)
inlinevirtual

Apply Hessian approximation to vector.

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

Parameters
[out]hvis the the action of the Hessian on \(v\).
[in]vis the direction vector.
[in]xis the current iterate.
[in]tolis a tolerance for inexact objective function computation.

Reimplemented from ROL::Objective< Real >.

Definition at line 257 of file ROL_HelperFunctions.hpp.

References ROL::ProjectedObjective< Real >::obj_, ROL::ProjectedObjective< Real >::secant_, and ROL::ProjectedObjective< Real >::useSecantHessVec_.

Referenced by ROL::ProjectedObjective< Real >::reducedHessVec().

template<class Real>
void ROL::ProjectedObjective< Real >::invHessVec ( Vector< Real > &  hv,
const Vector< Real > &  v,
const Vector< Real > &  x,
Real &  tol 
)
inlinevirtual

Apply inverse Hessian approximation to vector.

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

Parameters
[out]hvis the action of the inverse Hessian on \(v\).
[in]vis the direction vector.
[in]xis the current iterate.
[in]tolis a tolerance for inexact objective function computation.

Reimplemented from ROL::Objective< Real >.

Definition at line 266 of file ROL_HelperFunctions.hpp.

References ROL::ProjectedObjective< Real >::obj_, ROL::ProjectedObjective< Real >::secant_, and ROL::ProjectedObjective< Real >::useSecantHessVec_.

Referenced by ROL::ProjectedObjective< Real >::reducedInvHessVec().

template<class Real>
void ROL::ProjectedObjective< Real >::precond ( Vector< Real > &  Pv,
const Vector< Real > &  v,
const Vector< Real > &  x,
Real &  tol 
)
inlinevirtual

Apply preconditioner to vector.

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

Parameters
[out]Pvis the action of the Hessian preconditioner on \(v\).
[in]vis the direction vector.
[in]xis the current iterate.
[in]tolis a tolerance for inexact objective function computation.

Reimplemented from ROL::Objective< Real >.

Definition at line 275 of file ROL_HelperFunctions.hpp.

References ROL::ProjectedObjective< Real >::obj_, ROL::ProjectedObjective< Real >::secant_, and ROL::ProjectedObjective< Real >::useSecantPrecond_.

Referenced by ROL::ProjectedObjective< Real >::reducedPrecond().

template<class Real>
void ROL::ProjectedObjective< Real >::reducedHessVec ( Vector< Real > &  Hv,
const Vector< Real > &  v,
const Vector< Real > &  p,
const Vector< Real > &  d,
const Vector< Real > &  x,
Real &  tol 
)
inline

Apply the reduced Hessian to a vector, v. The reduced Hessian first removes elements of v corresponding to the feasible indices from the point p in the direction -d. Hv the Hessian times a vector v input vector p starting point for tangent cone d negative of search direction x current iteration vector tol objective function tolerance.

Definition at line 295 of file ROL_HelperFunctions.hpp.

References ROL::Vector< Real >::clone(), ROL::ProjectedObjective< Real >::con_, ROL::Vector< Real >::dual(), ROL::ProjectedObjective< Real >::dualV_, ROL::ProjectedObjective< Real >::eps_, ROL::ProjectedObjective< Real >::hessVec(), ROL::ProjectedObjective< Real >::isInitialized_, ROL::Vector< Real >::plus(), and ROL::ProjectedObjective< Real >::primalV_.

template<class Real>
void ROL::ProjectedObjective< Real >::reducedHessVec ( Vector< Real > &  Hv,
const Vector< Real > &  v,
const Vector< Real > &  p,
const Vector< Real > &  x,
Real &  tol 
)
inline

Apply the reduced Hessian to a vector, v. The reduced Hessian first removes elements of v corresponding to the feasible indices from the point p. Hv the Hessian times a vector v input vector p starting point for tangent cone x current iteration vector tol objective function tolerance.

Definition at line 335 of file ROL_HelperFunctions.hpp.

References ROL::Vector< Real >::clone(), ROL::ProjectedObjective< Real >::con_, ROL::Vector< Real >::dual(), ROL::ProjectedObjective< Real >::dualV_, ROL::ProjectedObjective< Real >::eps_, ROL::ProjectedObjective< Real >::hessVec(), ROL::ProjectedObjective< Real >::isInitialized_, ROL::Vector< Real >::plus(), and ROL::ProjectedObjective< Real >::primalV_.

template<class Real>
void ROL::ProjectedObjective< Real >::reducedInvHessVec ( Vector< Real > &  Hv,
const Vector< Real > &  v,
const Vector< Real > &  p,
const Vector< Real > &  d,
const Vector< Real > &  x,
Real &  tol 
)
inline

Apply the reduced inverse Hessian to a vector, v. The reduced inverse Hessian first removes elements of v corresponding to the feasible indices from the point p in the direction -d. Hv the inverse Hessian times a vector v input vector p starting point for tangent cone d negative of search direction x current iteration vector tol objective function tolerance.

Definition at line 376 of file ROL_HelperFunctions.hpp.

References ROL::Vector< Real >::clone(), ROL::ProjectedObjective< Real >::con_, ROL::Vector< Real >::dual(), ROL::ProjectedObjective< Real >::dualV_, ROL::ProjectedObjective< Real >::eps_, ROL::ProjectedObjective< Real >::invHessVec(), ROL::ProjectedObjective< Real >::isInitialized_, ROL::Vector< Real >::plus(), and ROL::ProjectedObjective< Real >::primalV_.

template<class Real>
void ROL::ProjectedObjective< Real >::reducedInvHessVec ( Vector< Real > &  Hv,
const Vector< Real > &  v,
const Vector< Real > &  p,
const Vector< Real > &  x,
Real &  tol 
)
inline

Apply the reduced inverse Hessian to a vector, v. The reduced inverse Hessian first removes elements of v corresponding to the feasible indices from the point p. Hv the inverse Hessian times a vector v input vector p starting point for tangent cone x current iteration vector tol objective function tolerance.

Definition at line 416 of file ROL_HelperFunctions.hpp.

References ROL::Vector< Real >::clone(), ROL::ProjectedObjective< Real >::con_, ROL::Vector< Real >::dual(), ROL::ProjectedObjective< Real >::dualV_, ROL::ProjectedObjective< Real >::eps_, ROL::ProjectedObjective< Real >::invHessVec(), ROL::ProjectedObjective< Real >::isInitialized_, ROL::Vector< Real >::plus(), and ROL::ProjectedObjective< Real >::primalV_.

template<class Real>
void ROL::ProjectedObjective< Real >::reducedPrecond ( Vector< Real > &  Mv,
const Vector< Real > &  v,
const Vector< Real > &  p,
const Vector< Real > &  d,
const Vector< Real > &  x,
Real &  tol 
)
inline

Apply the reduced preconditioner to a vector, v. The reduced preconditioner first removes elements of v corresponding to the feasible indices from the point p in the direction -d. Hv the preconditioner times a vector v input vector p starting point for tangent cone d negative of search direction x current iteration vector tol objective function tolerance.

Definition at line 457 of file ROL_HelperFunctions.hpp.

References ROL::Vector< Real >::clone(), ROL::ProjectedObjective< Real >::con_, ROL::Vector< Real >::dual(), ROL::ProjectedObjective< Real >::dualV_, ROL::ProjectedObjective< Real >::eps_, ROL::ProjectedObjective< Real >::isInitialized_, ROL::Vector< Real >::plus(), ROL::ProjectedObjective< Real >::precond(), and ROL::ProjectedObjective< Real >::primalV_.

template<class Real>
void ROL::ProjectedObjective< Real >::reducedPrecond ( Vector< Real > &  Mv,
const Vector< Real > &  v,
const Vector< Real > &  p,
const Vector< Real > &  x,
Real &  tol 
)
inline

Apply the reduced preconditioner to a vector, v. The reduced preconditioner first removes elements of v corresponding to the feasible indices from the point p. Hv the preconditioner times a vector v input vector p starting point for tangent cone x current iteration vector tol objective function tolerance.

Definition at line 497 of file ROL_HelperFunctions.hpp.

References ROL::Vector< Real >::clone(), ROL::ProjectedObjective< Real >::con_, ROL::Vector< Real >::dual(), ROL::ProjectedObjective< Real >::dualV_, ROL::ProjectedObjective< Real >::eps_, ROL::ProjectedObjective< Real >::isInitialized_, ROL::Vector< Real >::plus(), ROL::ProjectedObjective< Real >::precond(), and ROL::ProjectedObjective< Real >::primalV_.

template<class Real>
void ROL::ProjectedObjective< Real >::project ( Vector< Real > &  x)
inline

Definition at line 527 of file ROL_HelperFunctions.hpp.

References ROL::ProjectedObjective< Real >::con_.

template<class Real>
void ROL::ProjectedObjective< Real >::pruneActive ( Vector< Real > &  v,
const Vector< Real > &  g,
const Vector< Real > &  x 
)
inline
template<class Real>
void ROL::ProjectedObjective< Real >::pruneActive ( Vector< Real > &  v,
const Vector< Real > &  x 
)
inline
template<class Real>
void ROL::ProjectedObjective< Real >::pruneInactive ( Vector< Real > &  v,
const Vector< Real > &  g,
const Vector< Real > &  x 
)
inline
template<class Real>
void ROL::ProjectedObjective< Real >::pruneInactive ( Vector< Real > &  v,
const Vector< Real > &  x 
)
inline
template<class Real>
bool ROL::ProjectedObjective< Real >::isFeasible ( const Vector< Real > &  v)
inline

Definition at line 547 of file ROL_HelperFunctions.hpp.

References ROL::ProjectedObjective< Real >::con_.

template<class Real>
bool ROL::ProjectedObjective< Real >::isConActivated ( void  )
inline

Definition at line 551 of file ROL_HelperFunctions.hpp.

References ROL::ProjectedObjective< Real >::con_.

template<class Real>
void ROL::ProjectedObjective< Real >::computeProjectedStep ( Vector< Real > &  v,
const Vector< Real > &  x 
)
inline

Definition at line 555 of file ROL_HelperFunctions.hpp.

References ROL::ProjectedObjective< Real >::con_.

Member Data Documentation

template<class Real>
ROL::Ptr<Objective<Real> > ROL::ProjectedObjective< Real >::obj_
private
template<class Real>
ROL::Ptr<BoundConstraint<Real> > ROL::ProjectedObjective< Real >::con_
private
template<class Real>
ROL::Ptr<Secant<Real> > ROL::ProjectedObjective< Real >::secant_
private
template<class Real>
ROL::Ptr<ROL::Vector<Real> > ROL::ProjectedObjective< Real >::primalV_
private
template<class Real>
ROL::Ptr<ROL::Vector<Real> > ROL::ProjectedObjective< Real >::dualV_
private
template<class Real>
bool ROL::ProjectedObjective< Real >::isInitialized_
private
template<class Real>
bool ROL::ProjectedObjective< Real >::useSecantPrecond_
private

Definition at line 223 of file ROL_HelperFunctions.hpp.

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

template<class Real>
bool ROL::ProjectedObjective< Real >::useSecantHessVec_
private
template<class Real>
Real ROL::ProjectedObjective< Real >::eps_
private

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