ROL
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#include <ROL_HelperFunctions.hpp>
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 > ¶m) |
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 |
Definition at line 213 of file ROL_HelperFunctions.hpp.
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Definition at line 228 of file ROL_HelperFunctions.hpp.
References ROL::ProjectedObjective< Real >::con_, ROL::ProjectedObjective< Real >::obj_, and ROL::ProjectedObjective< Real >::secant_.
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Update objective function.
This function updates the objective function at new iterations.
[in] | x | is the new iterate. |
[in] | flag | is true if the iterate has changed. |
[in] | iter | is 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_.
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Compute value.
This function returns the objective function value.
[in] | x | is the current iterate. |
[in] | tol | is 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_.
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Compute gradient.
This function returns the objective function gradient.
[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 249 of file ROL_HelperFunctions.hpp.
References ROL::ProjectedObjective< Real >::obj_.
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Compute directional derivative.
This function returns the directional derivative of the objective function in the \(d\) direction.
[in] | x | is the current iterate. |
[in] | d | is the direction. |
[in] | tol | is 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_.
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Apply Hessian approximation to vector.
This function applies the Hessian of the objective function to the vector \(v\).
[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 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().
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Apply inverse Hessian approximation to vector.
This function applies the inverse Hessian of the objective function to the vector \(v\).
[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 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().
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Apply preconditioner to vector.
This function applies a preconditioner for the Hessian of the objective function to the vector \(v\).
[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. |
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().
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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_.
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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_.
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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_.
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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_.
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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_.
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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_.
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Definition at line 527 of file ROL_HelperFunctions.hpp.
References ROL::ProjectedObjective< Real >::con_.
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Definition at line 531 of file ROL_HelperFunctions.hpp.
References ROL::ProjectedObjective< Real >::con_, and ROL::ProjectedObjective< Real >::eps_.
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Definition at line 535 of file ROL_HelperFunctions.hpp.
References ROL::ProjectedObjective< Real >::con_, and ROL::ProjectedObjective< Real >::eps_.
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Definition at line 539 of file ROL_HelperFunctions.hpp.
References ROL::ProjectedObjective< Real >::con_, and ROL::ProjectedObjective< Real >::eps_.
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Definition at line 543 of file ROL_HelperFunctions.hpp.
References ROL::ProjectedObjective< Real >::con_, and ROL::ProjectedObjective< Real >::eps_.
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Definition at line 547 of file ROL_HelperFunctions.hpp.
References ROL::ProjectedObjective< Real >::con_.
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Definition at line 551 of file ROL_HelperFunctions.hpp.
References ROL::ProjectedObjective< Real >::con_.
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Definition at line 555 of file ROL_HelperFunctions.hpp.
References ROL::ProjectedObjective< Real >::con_.
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Definition at line 215 of file ROL_HelperFunctions.hpp.
Referenced by ROL::ProjectedObjective< Real >::dirDeriv(), ROL::ProjectedObjective< Real >::gradient(), ROL::ProjectedObjective< Real >::hessVec(), ROL::ProjectedObjective< Real >::invHessVec(), ROL::ProjectedObjective< Real >::precond(), ROL::ProjectedObjective< Real >::ProjectedObjective(), ROL::ProjectedObjective< Real >::update(), and ROL::ProjectedObjective< Real >::value().
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Definition at line 216 of file ROL_HelperFunctions.hpp.
Referenced by ROL::ProjectedObjective< Real >::computeProjectedStep(), ROL::ProjectedObjective< Real >::isConActivated(), ROL::ProjectedObjective< Real >::isFeasible(), ROL::ProjectedObjective< Real >::project(), ROL::ProjectedObjective< Real >::ProjectedObjective(), ROL::ProjectedObjective< Real >::pruneActive(), ROL::ProjectedObjective< Real >::pruneInactive(), ROL::ProjectedObjective< Real >::reducedHessVec(), ROL::ProjectedObjective< Real >::reducedInvHessVec(), ROL::ProjectedObjective< Real >::reducedPrecond(), and ROL::ProjectedObjective< Real >::update().
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Definition at line 217 of file ROL_HelperFunctions.hpp.
Referenced by ROL::ProjectedObjective< Real >::hessVec(), ROL::ProjectedObjective< Real >::invHessVec(), ROL::ProjectedObjective< Real >::precond(), and ROL::ProjectedObjective< Real >::ProjectedObjective().
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Definition at line 219 of file ROL_HelperFunctions.hpp.
Referenced by ROL::ProjectedObjective< Real >::reducedHessVec(), ROL::ProjectedObjective< Real >::reducedInvHessVec(), and ROL::ProjectedObjective< Real >::reducedPrecond().
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Definition at line 220 of file ROL_HelperFunctions.hpp.
Referenced by ROL::ProjectedObjective< Real >::reducedHessVec(), ROL::ProjectedObjective< Real >::reducedInvHessVec(), and ROL::ProjectedObjective< Real >::reducedPrecond().
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Definition at line 221 of file ROL_HelperFunctions.hpp.
Referenced by ROL::ProjectedObjective< Real >::reducedHessVec(), ROL::ProjectedObjective< Real >::reducedInvHessVec(), and ROL::ProjectedObjective< Real >::reducedPrecond().
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Definition at line 223 of file ROL_HelperFunctions.hpp.
Referenced by ROL::ProjectedObjective< Real >::precond().
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Definition at line 224 of file ROL_HelperFunctions.hpp.
Referenced by ROL::ProjectedObjective< Real >::hessVec(), and ROL::ProjectedObjective< Real >::invHessVec().
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Definition at line 225 of file ROL_HelperFunctions.hpp.
Referenced by ROL::ProjectedObjective< Real >::pruneActive(), ROL::ProjectedObjective< Real >::pruneInactive(), ROL::ProjectedObjective< Real >::reducedHessVec(), ROL::ProjectedObjective< Real >::reducedInvHessVec(), and ROL::ProjectedObjective< Real >::reducedPrecond().