ROL
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Provides an interface for a convex combination of risk measures. More...
#include <ROL_ConvexCombinationRiskMeasure.hpp>
Public Member Functions | |
ConvexCombinationRiskMeasure (ROL::ParameterList &parlist) | |
Constructor. More... | |
void | setSample (const std::vector< Real > &point, const Real weight) |
void | resetStorage (bool flag=true) |
Reset internal storage. More... | |
void | resetStorage (UpdateType type) |
void | initialize (const Vector< Real > &x) |
Initialize temporary variables. More... | |
void | updateValue (Objective< Real > &obj, const Vector< Real > &x, const std::vector< Real > &xstat, Real &tol) |
Update internal storage for value computation. More... | |
Real | getValue (const Vector< Real > &x, const std::vector< Real > &xstat, SampleGenerator< Real > &sampler) |
Return risk measure value. More... | |
void | updateGradient (Objective< Real > &obj, const Vector< Real > &x, const std::vector< Real > &xstat, Real &tol) |
Update internal risk measure storage for gradient computation. More... | |
void | getGradient (Vector< Real > &g, std::vector< Real > &gstat, const Vector< Real > &x, const std::vector< Real > &xstat, SampleGenerator< Real > &sampler) |
Return risk measure (sub)gradient. More... | |
void | updateHessVec (Objective< Real > &obj, const Vector< Real > &v, const std::vector< Real > &vstat, const Vector< Real > &x, const std::vector< Real > &xstat, Real &tol) |
Update internal risk measure storage for Hessian-time-a-vector computation. More... | |
void | getHessVec (Vector< Real > &hv, std::vector< Real > &hvstat, const Vector< Real > &v, const std::vector< Real > &vstat, const Vector< Real > &x, const std::vector< Real > &xstat, SampleGenerator< Real > &sampler) |
Return risk measure Hessian-times-a-vector. More... | |
Public Member Functions inherited from ROL::RandVarFunctional< Real > | |
virtual | ~RandVarFunctional () |
RandVarFunctional (void) | |
weight_ (0) | |
void | useStorage (bool storage) |
void | useHessVecStorage (bool storage) |
virtual void | setStorage (const Ptr< ScalarController< Real >> &value_storage, const Ptr< VectorController< Real >> &gradient_storage) |
virtual void | setHessVecStorage (const Ptr< ScalarController< Real >> &gradvec_storage, const Ptr< VectorController< Real >> &hessvec_storage) |
virtual Real | computeStatistic (const Ptr< const std::vector< Real >> &xstat) const |
Compute statistic. More... | |
Private Types | |
typedef std::vector< Real > ::size_type | uint |
Private Member Functions | |
void | initializeCCRM (void) |
void | checkInputs (void) |
Private Attributes | |
std::vector< Real > | lambda_ |
std::vector< ROL::Ptr < RandVarFunctional< Real > > > | risk_ |
uint | size_ |
std::vector< int > | statVec_ |
Ptr< ScalarController< Real > > | values_ |
Ptr< ScalarController< Real > > | gradvecs_ |
Ptr< VectorController< Real > > | gradients_ |
Ptr< VectorController< Real > > | hessvecs_ |
Additional Inherited Members | |
Protected Member Functions inherited from ROL::RandVarFunctional< Real > | |
Real | computeValue (Objective< Real > &obj, const Vector< Real > &x, Real &tol) |
void | computeGradient (Vector< Real > &g, Objective< Real > &obj, const Vector< Real > &x, Real &tol) |
Real | computeGradVec (Vector< Real > &g, Objective< Real > &obj, const Vector< Real > &v, const Vector< Real > &x, Real &tol) |
void | computeHessVec (Vector< Real > &hv, Objective< Real > &obj, const Vector< Real > &v, const Vector< Real > &x, Real &tol) |
Protected Attributes inherited from ROL::RandVarFunctional< Real > | |
Real | val_ |
Real | gv_ |
Ptr< Vector< Real > > | g_ |
Ptr< Vector< Real > > | hv_ |
Ptr< Vector< Real > > | dualVector_ |
bool | firstReset_ |
std::vector< Real > | point_ |
Real | weight_ |
Provides an interface for a convex combination of risk measures.
This function provides the capability to produce a convex combination of risk measure, i.e.,
\[ \mathcal{R}(X) = \sum_{k=1}^n \lambda_k \mathcal{R}_k(X) \]
where \(\mathcal{R}_k\) are risk measures and \(\lambda_k \ge 0\) with \(\lambda_1 + \ldots + \lambda_n = 1\). In general, \(\mathcal{R}\) is not law-invariant or coherent unless each \(\mathcal{R}_k\) is.
Definition at line 34 of file ROL_ConvexCombinationRiskMeasure.hpp.
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Definition at line 36 of file ROL_ConvexCombinationRiskMeasure.hpp.
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Constructor.
[in] | parlist | is a parameter list specifying inputs |
parlist should contain sublists "SOL"->"Risk Measure"->"Convex Combination Risk Measure" and within the "Convex Combination Risk Measure" sublist should have the following parameters
Definition at line 92 of file ROL_ConvexCombinationRiskMeasure.hpp.
References ROL::ConvexCombinationRiskMeasure< Real >::checkInputs(), ROL::ConvexCombinationRiskMeasure< Real >::lambda_, ROL::ConvexCombinationRiskMeasure< Real >::risk_, ROL::RiskMeasureInfo(), ROL::ConvexCombinationRiskMeasure< Real >::size_, and ROL::ConvexCombinationRiskMeasure< Real >::statVec_.
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Definition at line 51 of file ROL_ConvexCombinationRiskMeasure.hpp.
References ROL::ConvexCombinationRiskMeasure< Real >::gradients_, ROL::ConvexCombinationRiskMeasure< Real >::gradvecs_, ROL::ConvexCombinationRiskMeasure< Real >::hessvecs_, ROL::ConvexCombinationRiskMeasure< Real >::risk_, ROL::RandVarFunctional< Real >::setHessVecStorage(), ROL::RandVarFunctional< Real >::setStorage(), ROL::ConvexCombinationRiskMeasure< Real >::size_, and ROL::ConvexCombinationRiskMeasure< Real >::values_.
Referenced by ROL::ConvexCombinationRiskMeasure< Real >::checkInputs().
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Definition at line 65 of file ROL_ConvexCombinationRiskMeasure.hpp.
References ROL::ConvexCombinationRiskMeasure< Real >::initializeCCRM(), ROL::ConvexCombinationRiskMeasure< Real >::lambda_, ROL::ConvexCombinationRiskMeasure< Real >::risk_, and zero.
Referenced by ROL::ConvexCombinationRiskMeasure< Real >::ConvexCombinationRiskMeasure().
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Reimplemented from ROL::RandVarFunctional< Real >.
Definition at line 124 of file ROL_ConvexCombinationRiskMeasure.hpp.
References ROL::ConvexCombinationRiskMeasure< Real >::risk_, ROL::RandVarFunctional< Real >::setSample(), and ROL::ConvexCombinationRiskMeasure< Real >::size_.
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Reset internal storage.
[in] | x | is a vector used for initializing storage |
Reimplemented from ROL::RandVarFunctional< Real >.
Definition at line 131 of file ROL_ConvexCombinationRiskMeasure.hpp.
References ROL::RandVarFunctional< Real >::resetStorage(), ROL::ConvexCombinationRiskMeasure< Real >::risk_, and ROL::ConvexCombinationRiskMeasure< Real >::size_.
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Reimplemented from ROL::RandVarFunctional< Real >.
Definition at line 137 of file ROL_ConvexCombinationRiskMeasure.hpp.
References ROL::RandVarFunctional< Real >::resetStorage(), ROL::ConvexCombinationRiskMeasure< Real >::risk_, and ROL::ConvexCombinationRiskMeasure< Real >::size_.
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Initialize temporary variables.
[in] | x | is a vector used for initializing storage |
Reimplemented from ROL::RandVarFunctional< Real >.
Definition at line 145 of file ROL_ConvexCombinationRiskMeasure.hpp.
References ROL::RandVarFunctional< Real >::initialize(), ROL::ConvexCombinationRiskMeasure< Real >::risk_, and ROL::ConvexCombinationRiskMeasure< Real >::size_.
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Update internal storage for value computation.
[in] | val | is the value of the random variable objective function at the current sample point |
[in] | weight | is the weight associated with the current sample point |
Reimplemented from ROL::RandVarFunctional< Real >.
Definition at line 152 of file ROL_ConvexCombinationRiskMeasure.hpp.
References ROL::ConvexCombinationRiskMeasure< Real >::risk_, ROL::ConvexCombinationRiskMeasure< Real >::size_, and ROL::ConvexCombinationRiskMeasure< Real >::statVec_.
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Return risk measure value.
[in] | sampler | is the ROL::SampleGenerator used to sample the objective function |
Upon return, getValue returns \(\mathcal{R}(f(x_0))\) where \(f(x_0)\) denotes the random variable objective function evaluated at \(x_0\).
Reimplemented from ROL::RandVarFunctional< Real >.
Definition at line 168 of file ROL_ConvexCombinationRiskMeasure.hpp.
References ROL::ConvexCombinationRiskMeasure< Real >::lambda_, ROL::ConvexCombinationRiskMeasure< Real >::risk_, ROL::ConvexCombinationRiskMeasure< Real >::size_, and ROL::ConvexCombinationRiskMeasure< Real >::statVec_.
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Update internal risk measure storage for gradient computation.
[in] | val | is the value of the random variable objective function at the current sample point |
[in] | g | is the gradient of the random variable objective function at the current sample point |
[in] | weight | is the weight associated with the current sample point |
Reimplemented from ROL::RandVarFunctional< Real >.
Definition at line 185 of file ROL_ConvexCombinationRiskMeasure.hpp.
References ROL::ConvexCombinationRiskMeasure< Real >::risk_, ROL::ConvexCombinationRiskMeasure< Real >::size_, and ROL::ConvexCombinationRiskMeasure< Real >::statVec_.
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Return risk measure (sub)gradient.
[out] | g | is the (sub)gradient of the risk measure |
[in] | sampler | is the ROL::SampleGenerator used to sample the objective function |
Upon return, getGradient returns \(\theta\in\partial\mathcal{R}(f(x_0))\) where \(f(x_0)\) denotes the random variable objective function evaluated at \(x_0\) and \(\partial\mathcal{R}(X)\) denotes the subdifferential of \(\mathcal{R}\) at \(X\).
Reimplemented from ROL::RandVarFunctional< Real >.
Definition at line 201 of file ROL_ConvexCombinationRiskMeasure.hpp.
References ROL::Vector< Real >::axpy(), ROL::RandVarFunctional< Real >::g_, ROL::ConvexCombinationRiskMeasure< Real >::lambda_, ROL::ConvexCombinationRiskMeasure< Real >::risk_, ROL::ConvexCombinationRiskMeasure< Real >::size_, and ROL::ConvexCombinationRiskMeasure< Real >::statVec_.
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Update internal risk measure storage for Hessian-time-a-vector computation.
[in] | val | is the value of the random variable objective function at the current sample point |
[in] | g | is the gradient of the random variable objective function at the current sample point |
[in] | gv | is the gradient of the random variable objective function at the current sample point applied to the vector v0 |
[in] | hv | is the Hessian of the random variable objective function at the current sample point applied to the vector v0 |
[in] | weight | is the weight associated with the current sample point |
Reimplemented from ROL::RandVarFunctional< Real >.
Definition at line 225 of file ROL_ConvexCombinationRiskMeasure.hpp.
References ROL::ConvexCombinationRiskMeasure< Real >::risk_, ROL::ConvexCombinationRiskMeasure< Real >::size_, and ROL::ConvexCombinationRiskMeasure< Real >::statVec_.
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Return risk measure Hessian-times-a-vector.
[out] | hv | is the Hessian-times-a-vector of the risk measure |
[in] | sampler | is the ROL::SampleGenerator used to sample the objective function |
Upon return, getHessVec returns \(\nabla^2 \mathcal{R}(f(x_0))v_0\) (if available) where \(f(x_0)\) denotes the random variable objective function evaluated at \(x_0\).
Reimplemented from ROL::RandVarFunctional< Real >.
Definition at line 245 of file ROL_ConvexCombinationRiskMeasure.hpp.
References ROL::Vector< Real >::axpy(), ROL::RandVarFunctional< Real >::hv_, ROL::ConvexCombinationRiskMeasure< Real >::lambda_, ROL::ConvexCombinationRiskMeasure< Real >::risk_, ROL::ConvexCombinationRiskMeasure< Real >::size_, and ROL::ConvexCombinationRiskMeasure< Real >::statVec_.
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Definition at line 38 of file ROL_ConvexCombinationRiskMeasure.hpp.
Referenced by ROL::ConvexCombinationRiskMeasure< Real >::checkInputs(), ROL::ConvexCombinationRiskMeasure< Real >::ConvexCombinationRiskMeasure(), ROL::ConvexCombinationRiskMeasure< Real >::getGradient(), ROL::ConvexCombinationRiskMeasure< Real >::getHessVec(), and ROL::ConvexCombinationRiskMeasure< Real >::getValue().
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Definition at line 39 of file ROL_ConvexCombinationRiskMeasure.hpp.
Referenced by ROL::ConvexCombinationRiskMeasure< Real >::checkInputs(), ROL::ConvexCombinationRiskMeasure< Real >::ConvexCombinationRiskMeasure(), ROL::ConvexCombinationRiskMeasure< Real >::getGradient(), ROL::ConvexCombinationRiskMeasure< Real >::getHessVec(), ROL::ConvexCombinationRiskMeasure< Real >::getValue(), ROL::ConvexCombinationRiskMeasure< Real >::initialize(), ROL::ConvexCombinationRiskMeasure< Real >::initializeCCRM(), ROL::ConvexCombinationRiskMeasure< Real >::resetStorage(), ROL::ConvexCombinationRiskMeasure< Real >::setSample(), ROL::ConvexCombinationRiskMeasure< Real >::updateGradient(), ROL::ConvexCombinationRiskMeasure< Real >::updateHessVec(), and ROL::ConvexCombinationRiskMeasure< Real >::updateValue().
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Definition at line 40 of file ROL_ConvexCombinationRiskMeasure.hpp.
Referenced by ROL::ConvexCombinationRiskMeasure< Real >::ConvexCombinationRiskMeasure(), ROL::ConvexCombinationRiskMeasure< Real >::getGradient(), ROL::ConvexCombinationRiskMeasure< Real >::getHessVec(), ROL::ConvexCombinationRiskMeasure< Real >::getValue(), ROL::ConvexCombinationRiskMeasure< Real >::initialize(), ROL::ConvexCombinationRiskMeasure< Real >::initializeCCRM(), ROL::ConvexCombinationRiskMeasure< Real >::resetStorage(), ROL::ConvexCombinationRiskMeasure< Real >::setSample(), ROL::ConvexCombinationRiskMeasure< Real >::updateGradient(), ROL::ConvexCombinationRiskMeasure< Real >::updateHessVec(), and ROL::ConvexCombinationRiskMeasure< Real >::updateValue().
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Definition at line 41 of file ROL_ConvexCombinationRiskMeasure.hpp.
Referenced by ROL::ConvexCombinationRiskMeasure< Real >::ConvexCombinationRiskMeasure(), ROL::ConvexCombinationRiskMeasure< Real >::getGradient(), ROL::ConvexCombinationRiskMeasure< Real >::getHessVec(), ROL::ConvexCombinationRiskMeasure< Real >::getValue(), ROL::ConvexCombinationRiskMeasure< Real >::updateGradient(), ROL::ConvexCombinationRiskMeasure< Real >::updateHessVec(), and ROL::ConvexCombinationRiskMeasure< Real >::updateValue().
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Definition at line 43 of file ROL_ConvexCombinationRiskMeasure.hpp.
Referenced by ROL::ConvexCombinationRiskMeasure< Real >::initializeCCRM().
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Definition at line 44 of file ROL_ConvexCombinationRiskMeasure.hpp.
Referenced by ROL::ConvexCombinationRiskMeasure< Real >::initializeCCRM().
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Definition at line 45 of file ROL_ConvexCombinationRiskMeasure.hpp.
Referenced by ROL::ConvexCombinationRiskMeasure< Real >::initializeCCRM().
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Definition at line 46 of file ROL_ConvexCombinationRiskMeasure.hpp.
Referenced by ROL::ConvexCombinationRiskMeasure< Real >::initializeCCRM().