ROL
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#include <ROL_CDFObjective.hpp>
Public Member Functions | |
CDFObjective (const std::vector< ROL::Ptr< Distribution< Real > > > &dist, const ROL::Ptr< BatchManager< Real > > &bman, const Real scale=1.e-2, const bool optProb=true, const bool optAtom=true) | |
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... | |
void | hessVec (Vector< Real > &hv, const Vector< Real > &v, const Vector< Real > &x, Real &tol) |
Apply Hessian approximation to vector. More... | |
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 | invHessVec (Vector< Real > &hv, const Vector< Real > &v, const Vector< Real > &x, Real &tol) |
Apply inverse Hessian approximation to vector. More... | |
virtual void | precond (Vector< Real > &Pv, const Vector< Real > &v, const Vector< Real > &x, Real &tol) |
Apply preconditioner to vector. 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 Member Functions | |
void | initializeQuadrature (void) |
Real | valueCDF (const int dim, const Real loc, const ProbabilityVector< Real > &prob, const AtomVector< Real > &atom) const |
Real | gradientCDF (std::vector< Real > &gradx, std::vector< Real > &gradp, const int dim, const Real loc, const ProbabilityVector< Real > &prob, const AtomVector< Real > &atom) const |
Real | hessVecCDF (std::vector< Real > &hvxx, std::vector< Real > &hvxp, std::vector< Real > &hvpx, std::vector< Real > &gradx, std::vector< Real > &gradp, Real &sumx, Real &sump, const int dim, const Real loc, const ProbabilityVector< Real > &prob, const AtomVector< Real > &atom, const ProbabilityVector< Real > &vprob, const AtomVector< Real > &vatom) const |
Private Attributes | |
ROL::Ptr< BatchManager< Real > > | bman_ |
std::vector< ROL::Ptr < Distribution< Real > > > | dist_ |
std::vector< Real > | lowerBound_ |
std::vector< Real > | upperBound_ |
int | dimension_ |
const Real | scale_ |
const Real | sqrt2_ |
const Real | sqrtpi_ |
const bool | optProb_ |
const bool | optAtom_ |
std::vector< Real > | pts_ |
std::vector< Real > | wts_ |
int | numPoints_ |
Additional Inherited Members | |
Protected Member Functions inherited from ROL::Objective< Real > | |
const std::vector< Real > | getParameter (void) const |
Definition at line 23 of file ROL_CDFObjective.hpp.
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Definition at line 145 of file ROL_CDFObjective.hpp.
References ROL::CDFObjective< Real >::dimension_, ROL::CDFObjective< Real >::initializeQuadrature(), ROL::CDFObjective< Real >::lowerBound_, and ROL::CDFObjective< Real >::upperBound_.
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Definition at line 47 of file ROL_CDFObjective.hpp.
References ROL::CDFObjective< Real >::numPoints_, ROL::CDFObjective< Real >::pts_, and ROL::CDFObjective< Real >::wts_.
Referenced by ROL::CDFObjective< Real >::CDFObjective().
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Definition at line 77 of file ROL_CDFObjective.hpp.
References ROL::CDFObjective< Real >::bman_, ROL::AtomVector< Real >::getAtom(), ROL::ProbabilityVector< Real >::getNumMyAtoms(), ROL::ProbabilityVector< Real >::getProbability(), ROL::CDFObjective< Real >::scale_, and ROL::CDFObjective< Real >::sqrt2_.
Referenced by ROL::CDFObjective< Real >::value().
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Definition at line 91 of file ROL_CDFObjective.hpp.
References ROL::CDFObjective< Real >::bman_, ROL::AtomVector< Real >::getAtom(), ROL::ProbabilityVector< Real >::getNumMyAtoms(), ROL::ProbabilityVector< Real >::getProbability(), ROL::CDFObjective< Real >::scale_, ROL::CDFObjective< Real >::sqrt2_, and ROL::CDFObjective< Real >::sqrtpi_.
Referenced by ROL::CDFObjective< Real >::gradient().
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Definition at line 110 of file ROL_CDFObjective.hpp.
References ROL::CDFObjective< Real >::bman_, ROL::AtomVector< Real >::getAtom(), ROL::ProbabilityVector< Real >::getNumMyAtoms(), ROL::ProbabilityVector< Real >::getProbability(), ROL::CDFObjective< Real >::scale_, ROL::CDFObjective< Real >::sqrt2_, and ROL::CDFObjective< Real >::sqrtpi_.
Referenced by ROL::CDFObjective< Real >::hessVec().
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inlinevirtual |
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 161 of file ROL_CDFObjective.hpp.
References ROL::CDFObjective< Real >::dimension_, ROL::CDFObjective< Real >::dist_, ROL::SROMVector< Real >::getAtomVector(), ROL::SROMVector< Real >::getProbabilityVector(), ROL::CDFObjective< Real >::lowerBound_, ROL::CDFObjective< Real >::numPoints_, ROL::CDFObjective< Real >::pts_, ROL::CDFObjective< Real >::upperBound_, ROL::CDFObjective< Real >::valueCDF(), and ROL::CDFObjective< Real >::wts_.
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inlinevirtual |
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 180 of file ROL_CDFObjective.hpp.
References ROL::CDFObjective< Real >::dimension_, ROL::CDFObjective< Real >::dist_, ROL::SROMVector< Real >::getAtomVector(), ROL::SROMVector< Real >::getProbabilityVector(), ROL::CDFObjective< Real >::gradientCDF(), ROL::CDFObjective< Real >::lowerBound_, ROL::CDFObjective< Real >::numPoints_, ROL::CDFObjective< Real >::optAtom_, ROL::CDFObjective< Real >::optProb_, ROL::CDFObjective< Real >::pts_, ROL::AtomVector< Real >::setAtom(), ROL::CDFObjective< Real >::upperBound_, ROL::CDFObjective< Real >::wts_, and ROL::Vector< Real >::zero().
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inlinevirtual |
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 218 of file ROL_CDFObjective.hpp.
References ROL::CDFObjective< Real >::dimension_, ROL::CDFObjective< Real >::dist_, ROL::SROMVector< Real >::getAtomVector(), ROL::SROMVector< Real >::getProbabilityVector(), ROL::CDFObjective< Real >::hessVecCDF(), ROL::CDFObjective< Real >::lowerBound_, ROL::CDFObjective< Real >::numPoints_, ROL::CDFObjective< Real >::optAtom_, ROL::CDFObjective< Real >::optProb_, ROL::CDFObjective< Real >::pts_, ROL::AtomVector< Real >::setAtom(), ROL::CDFObjective< Real >::upperBound_, ROL::CDFObjective< Real >::wts_, and ROL::Vector< Real >::zero().
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Definition at line 26 of file ROL_CDFObjective.hpp.
Referenced by ROL::CDFObjective< Real >::gradientCDF(), ROL::CDFObjective< Real >::hessVecCDF(), and ROL::CDFObjective< Real >::valueCDF().
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Definition at line 29 of file ROL_CDFObjective.hpp.
Referenced by ROL::CDFObjective< Real >::gradient(), ROL::CDFObjective< Real >::hessVec(), and ROL::CDFObjective< Real >::value().
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Definition at line 30 of file ROL_CDFObjective.hpp.
Referenced by ROL::CDFObjective< Real >::CDFObjective(), ROL::CDFObjective< Real >::gradient(), ROL::CDFObjective< Real >::hessVec(), and ROL::CDFObjective< Real >::value().
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Definition at line 31 of file ROL_CDFObjective.hpp.
Referenced by ROL::CDFObjective< Real >::CDFObjective(), ROL::CDFObjective< Real >::gradient(), ROL::CDFObjective< Real >::hessVec(), and ROL::CDFObjective< Real >::value().
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Definition at line 32 of file ROL_CDFObjective.hpp.
Referenced by ROL::CDFObjective< Real >::CDFObjective(), ROL::CDFObjective< Real >::gradient(), ROL::CDFObjective< Real >::hessVec(), and ROL::CDFObjective< Real >::value().
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Definition at line 34 of file ROL_CDFObjective.hpp.
Referenced by ROL::CDFObjective< Real >::gradientCDF(), ROL::CDFObjective< Real >::hessVecCDF(), and ROL::CDFObjective< Real >::valueCDF().
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Definition at line 35 of file ROL_CDFObjective.hpp.
Referenced by ROL::CDFObjective< Real >::gradientCDF(), ROL::CDFObjective< Real >::hessVecCDF(), and ROL::CDFObjective< Real >::valueCDF().
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Definition at line 36 of file ROL_CDFObjective.hpp.
Referenced by ROL::CDFObjective< Real >::gradientCDF(), and ROL::CDFObjective< Real >::hessVecCDF().
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Definition at line 38 of file ROL_CDFObjective.hpp.
Referenced by ROL::CDFObjective< Real >::gradient(), and ROL::CDFObjective< Real >::hessVec().
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Definition at line 39 of file ROL_CDFObjective.hpp.
Referenced by ROL::CDFObjective< Real >::gradient(), and ROL::CDFObjective< Real >::hessVec().
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Definition at line 41 of file ROL_CDFObjective.hpp.
Referenced by ROL::CDFObjective< Real >::gradient(), ROL::CDFObjective< Real >::hessVec(), ROL::CDFObjective< Real >::initializeQuadrature(), and ROL::CDFObjective< Real >::value().
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Definition at line 42 of file ROL_CDFObjective.hpp.
Referenced by ROL::CDFObjective< Real >::gradient(), ROL::CDFObjective< Real >::hessVec(), ROL::CDFObjective< Real >::initializeQuadrature(), and ROL::CDFObjective< Real >::value().
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Definition at line 45 of file ROL_CDFObjective.hpp.
Referenced by ROL::CDFObjective< Real >::gradient(), ROL::CDFObjective< Real >::hessVec(), ROL::CDFObjective< Real >::initializeQuadrature(), and ROL::CDFObjective< Real >::value().