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

#include <ROL_CDFObjective.hpp>

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

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 > &param)
 

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
 

Detailed Description

template<class Real>
class ROL::CDFObjective< Real >

Definition at line 23 of file ROL_CDFObjective.hpp.

Constructor & Destructor Documentation

template<class Real >
ROL::CDFObjective< Real >::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 
)
inline

Member Function Documentation

template<class Real >
void ROL::CDFObjective< Real >::initializeQuadrature ( void  )
inlineprivate
template<class Real >
Real ROL::CDFObjective< Real >::valueCDF ( const int  dim,
const Real  loc,
const ProbabilityVector< Real > &  prob,
const AtomVector< Real > &  atom 
) const
inlineprivate
template<class Real >
Real ROL::CDFObjective< 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
inlineprivate
template<class Real >
Real ROL::CDFObjective< 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
inlineprivate
template<class Real >
Real ROL::CDFObjective< Real >::value ( const Vector< Real > &  x,
Real &  tol 
)
inlinevirtual
template<class Real >
void ROL::CDFObjective< 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 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().

template<class Real >
void ROL::CDFObjective< 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 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().

Member Data Documentation

template<class Real >
ROL::Ptr<BatchManager<Real> > ROL::CDFObjective< Real >::bman_
private
template<class Real >
std::vector<ROL::Ptr<Distribution<Real> > > ROL::CDFObjective< Real >::dist_
private
template<class Real >
std::vector<Real> ROL::CDFObjective< Real >::lowerBound_
private
template<class Real >
std::vector<Real> ROL::CDFObjective< Real >::upperBound_
private
template<class Real >
int ROL::CDFObjective< Real >::dimension_
private
template<class Real >
const Real ROL::CDFObjective< Real >::scale_
private
template<class Real >
const Real ROL::CDFObjective< Real >::sqrt2_
private
template<class Real >
const Real ROL::CDFObjective< Real >::sqrtpi_
private
template<class Real >
const bool ROL::CDFObjective< Real >::optProb_
private
template<class Real >
const bool ROL::CDFObjective< Real >::optAtom_
private
template<class Real >
std::vector<Real> ROL::CDFObjective< Real >::pts_
private
template<class Real >
std::vector<Real> ROL::CDFObjective< Real >::wts_
private
template<class Real >
int ROL::CDFObjective< Real >::numPoints_
private

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