Decorator class that wraps any ModelEvaluator object and lumps parameters together using a linear basis matrix. More...

#include <Thyra_DefaultLumpedParameterModelEvaluator.hpp>

Inheritance diagram for Thyra::DefaultLumpedParameterModelEvaluator< Scalar >:

Related Functions
(Note that these are not member functions.)
template<class Scalar >
RCP < DefaultLumpedParameterModelEvaluator < Scalar > >	defaultLumpedParameterModelEvaluator (const RCP< ModelEvaluator< Scalar > > &thyraModel)
	Non-member constructor. More...

Related Functions inherited from Thyra::ModelEvaluatorDefaultBase< Scalar >
template<class Scalar >
RCP < ModelEvaluatorBase::InArgs < Scalar > >	clone (const ModelEvaluatorBase::InArgs< Scalar > &inArgs)
	Create a clone of an InArgs object. More...

template<class Scalar >
ModelEvaluatorBase::Derivative < Scalar >	derivativeGradient (const RCP< MultiVectorBase< Scalar > > &grad)

template<class Scalar >
ModelEvaluatorBase::DerivativeMultiVector < Scalar >	create_DfDp_mv (const ModelEvaluator< Scalar > &model, int l, ModelEvaluatorBase::EDerivativeMultiVectorOrientation orientation)

template<class Scalar >
ModelEvaluatorBase::DerivativeMultiVector < Scalar >	create_DgDx_dot_mv (const ModelEvaluator< Scalar > &model, int j, ModelEvaluatorBase::EDerivativeMultiVectorOrientation orientation)

template<class Scalar >
ModelEvaluatorBase::DerivativeMultiVector < Scalar >	create_DgDx_mv (const ModelEvaluator< Scalar > &model, int j, ModelEvaluatorBase::EDerivativeMultiVectorOrientation orientation)

template<class Scalar >
ModelEvaluatorBase::DerivativeMultiVector < Scalar >	create_DgDp_mv (const ModelEvaluator< Scalar > &model, int j, int l, ModelEvaluatorBase::EDerivativeMultiVectorOrientation orientation)

template<class Scalar >
ModelEvaluatorBase::DerivativeMultiVector < Scalar >	get_dmv (const ModelEvaluatorBase::Derivative< Scalar > &deriv, const std::string &derivName)

template<class Scalar >
RCP< MultiVectorBase< Scalar > >	get_mv (const ModelEvaluatorBase::Derivative< Scalar > &deriv, const std::string &derivName, ModelEvaluatorBase::EDerivativeMultiVectorOrientation orientation)

template<class Scalar >
void	assertDerivSpaces (const std::string &modelEvalDescription, const ModelEvaluatorBase::Derivative< Scalar > &deriv, const std::string &deriv_name, const VectorSpaceBase< Scalar > &fnc_space, const std::string &fnc_space_name, const VectorSpaceBase< Scalar > &var_space, const std::string &var_space_name)
	Assert that that Thyra objects imbedded in a Derivative object matches its function and variable spaces. More...

template<class Scalar >
void	assertInArgsOutArgsSetup (const std::string &modelEvalDescription, const ModelEvaluatorBase::InArgs< Scalar > &inArgs, const ModelEvaluatorBase::OutArgs< Scalar > &outArgs)
	Assert that an InArgs and OutArgs object are setup consistently. More...

template<class Scalar >
void	assertInArgsEvalObjects (const ModelEvaluator< Scalar > &model, const ModelEvaluatorBase::InArgs< Scalar > &inArgs)
	Assert that the objects in an InArgs object match a given model. More...

template<class Scalar >
void	assertOutArgsEvalObjects (const ModelEvaluator< Scalar > &model, const ModelEvaluatorBase::OutArgs< Scalar > &outArgs, const ModelEvaluatorBase::InArgs< Scalar > *inArgs=0)
	Assert that the objects in an OutArgs object match a given model. More...

Related Functions inherited from Thyra::ModelEvaluatorBase
std::string	toString (ModelEvaluatorBase::EInArgsMembers)

std::string	toString (ModelEvaluatorBase::EOutArgsMembers)

std::string	toString (ModelEvaluatorBase::EDerivativeMultiVectorOrientation orientation)

ModelEvaluatorBase::EDerivativeMultiVectorOrientation	getOtherDerivativeMultiVectorOrientation (ModelEvaluatorBase::EDerivativeMultiVectorOrientation orientation)

Constructors/initializers/accessors/utilities.
	DefaultLumpedParameterModelEvaluator ()

void	initialize (const RCP< ModelEvaluator< Scalar > > &thyraModel)

void	uninitialize (RCP< ModelEvaluator< Scalar > > *thyraModel)

Public functions overridden from Teuchos::Describable.
std::string	description () const

Overridden from ParameterListAcceptor
void	setParameterList (RCP< Teuchos::ParameterList > const &paramList)

RCP< Teuchos::ParameterList >	getNonconstParameterList ()

RCP< Teuchos::ParameterList >	unsetParameterList ()

RCP< const Teuchos::ParameterList >	getParameterList () const

RCP< const Teuchos::ParameterList >	getValidParameters () const

Public functions overridden from ModelEvaulator.
RCP< const VectorSpaceBase < Scalar > >	get_p_space (int l) const

RCP< const Array< std::string > >	get_p_names (int l) const

ModelEvaluatorBase::InArgs < Scalar >	getNominalValues () const

ModelEvaluatorBase::InArgs < Scalar >	getLowerBounds () const

ModelEvaluatorBase::InArgs < Scalar >	getUpperBounds () const

void	reportFinalPoint (const ModelEvaluatorBase::InArgs< Scalar > &finalPoint, const bool wasSolved)

Additional Inherited Members
Public Types inherited from Thyra::ModelEvaluator< Scalar >
typedef Teuchos::ScalarTraits < Scalar >::magnitudeType	ScalarMag

Public Types inherited from Thyra::ModelEvaluatorBase
enum	EInArgsMembers { IN_ARG_x_dot_dot, IN_ARG_x_dot, IN_ARG_x, IN_ARG_x_dot_poly, IN_ARG_x_poly, IN_ARG_x_dot_mp, IN_ARG_x_mp, IN_ARG_t, IN_ARG_alpha, IN_ARG_beta, IN_ARG_W_x_dot_dot_coeff, IN_ARG_step_size, IN_ARG_stage_number }

enum	EInArgs_p_mp { IN_ARG_p_mp }

enum	EEvalType { , EVAL_TYPE_APPROX_DERIV, EVAL_TYPE_VERY_APPROX_DERIV }
	The type of an evaluation. More...

enum	EDerivativeMultiVectorOrientation { DERIV_MV_JACOBIAN_FORM, DERIV_MV_GRADIENT_FORM, DERIV_MV_BY_COL = DERIV_MV_JACOBIAN_FORM, DERIV_TRANS_MV_BY_ROW = DERIV_MV_GRADIENT_FORM }

enum	EDerivativeLinearOp { DERIV_LINEAR_OP }

enum	EDerivativeLinearity { DERIV_LINEARITY_UNKNOWN, DERIV_LINEARITY_CONST, DERIV_LINEARITY_NONCONST }

enum	ERankStatus { DERIV_RANK_UNKNOWN, DERIV_RANK_FULL, DERIV_RANK_DEFICIENT }

enum	EOutArgsMembers { OUT_ARG_f, OUT_ARG_W, OUT_ARG_f_mp, OUT_ARG_W_mp, OUT_ARG_W_op, OUT_ARG_W_prec, OUT_ARG_f_poly }

enum	EOutArgsDfDp { OUT_ARG_DfDp }

enum	EOutArgsDgDx_dot { OUT_ARG_DgDx_dot }

enum	EOutArgsDgDx { OUT_ARG_DgDx }

enum	EOutArgsDgDp { OUT_ARG_DgDp }

enum	EOutArgs_hess_vec_prod_f_xx { OUT_ARG_hess_vec_prod_f_xx }

enum	EOutArgs_hess_vec_prod_f_xp { OUT_ARG_hess_vec_prod_f_xp }

enum	EOutArgs_hess_vec_prod_f_px { OUT_ARG_hess_vec_prod_f_px }

enum	EOutArgs_hess_vec_prod_f_pp { OUT_ARG_hess_vec_prod_f_pp }

enum	EOutArgs_hess_vec_prod_g_xx { OUT_ARG_hess_vec_prod_g_xx }

enum	EOutArgs_hess_vec_prod_g_xp { OUT_ARG_hess_vec_prod_g_xp }

enum	EOutArgs_hess_vec_prod_g_px { OUT_ARG_hess_vec_prod_g_px }

enum	EOutArgs_hess_vec_prod_g_pp { OUT_ARG_hess_vec_prod_g_pp }

enum	EOutArgs_hess_f_xx { OUT_ARG_hess_f_xx }

enum	EOutArgs_hess_f_xp { OUT_ARG_hess_f_xp }

enum	EOutArgs_hess_f_pp { OUT_ARG_hess_f_pp }

enum	EOutArgs_hess_g_xx { OUT_ARG_hess_g_xx }

enum	EOutArgs_hess_g_xp { OUT_ARG_hess_g_xp }

enum	EOutArgs_hess_g_pp { OUT_ARG_hess_g_pp }

enum	EOutArgs_H_xx { OUT_ARG_H_xx }

enum	EOutArgs_H_xp { OUT_ARG_H_xp }

enum	EOutArgs_H_pp { OUT_ARG_H_pp }

enum	EOutArgsDfDp_mp { OUT_ARG_DfDp_mp }

enum	EOutArgs_g_mp { OUT_ARG_g_mp }

enum	EOutArgsDgDx_dot_mp { OUT_ARG_DgDx_dot_mp }

enum	EOutArgsDgDx_mp { OUT_ARG_DgDx_mp }

enum	EOutArgsDgDp_mp { OUT_ARG_DgDp_mp }

Public Member Functions inherited from Thyra::ModelEvaluatorDelegatorBase< Scalar >
	ModelEvaluatorDelegatorBase ()
	Constructs to uninitialized. More...

	ModelEvaluatorDelegatorBase (const RCP< ModelEvaluator< Scalar > > &model)
	Calls `initialize()`. More...

	ModelEvaluatorDelegatorBase (const RCP< const ModelEvaluator< Scalar > > &model)
	Calls `initialize()`. More...

void	initialize (const RCP< ModelEvaluator< Scalar > > &model)
	Initialize given a non-const model evaluator. More...

void	initialize (const RCP< const ModelEvaluator< Scalar > > &model)
	Initialize given a const model evaluator. More...

void	uninitialize ()
	Uninitialize. More...

virtual bool	isUnderlyingModelConst () const

virtual RCP< ModelEvaluator < Scalar > >	getNonconstUnderlyingModel ()

virtual RCP< const ModelEvaluator< Scalar > >	getUnderlyingModel () const

RCP< const VectorSpaceBase < Scalar > >	get_x_space () const

RCP< const VectorSpaceBase < Scalar > >	get_f_space () const

RCP< const VectorSpaceBase < Scalar > >	get_f_multiplier_space () const

RCP< const VectorSpaceBase < Scalar > >	get_p_space (int l) const

RCP< const Teuchos::Array < std::string > >	get_p_names (int l) const

RCP< const VectorSpaceBase < Scalar > >	get_g_space (int j) const

RCP< const VectorSpaceBase < Scalar > >	get_g_multiplier_space (int j) const

Teuchos::ArrayView< const std::string >	get_g_names (int j) const

ModelEvaluatorBase::InArgs < Scalar >	getNominalValues () const

ModelEvaluatorBase::InArgs < Scalar >	getLowerBounds () const

ModelEvaluatorBase::InArgs < Scalar >	getUpperBounds () const

RCP< LinearOpWithSolveBase < Scalar > >	create_W () const

RCP< LinearOpBase< Scalar > >	create_W_op () const

RCP< PreconditionerBase< Scalar > >	create_W_prec () const

RCP< const LinearOpWithSolveFactoryBase < Scalar > >	get_W_factory () const

ModelEvaluatorBase::InArgs < Scalar >	createInArgs () const

void	reportFinalPoint (const ModelEvaluatorBase::InArgs< Scalar > &finalPoint, const bool wasSolved)

Public Member Functions inherited from Thyra::ModelEvaluatorDefaultBase< Scalar >
int	Np () const

int	Ng () const

RCP< LinearOpBase< Scalar > >	create_DfDp_op (int l) const

RCP< LinearOpBase< Scalar > >	create_DgDx_dot_op (int j) const

RCP< LinearOpBase< Scalar > >	create_DgDx_op (int j) const

RCP< LinearOpBase< Scalar > >	create_DgDp_op (int j, int l) const

ModelEvaluatorBase::OutArgs < Scalar >	createOutArgs () const

void	evalModel (const ModelEvaluatorBase::InArgs< Scalar > &inArgs, const ModelEvaluatorBase::OutArgs< Scalar > &outArgs) const

virtual RCP< LinearOpBase < Scalar > >	create_hess_f_xx () const

virtual RCP< LinearOpBase < Scalar > >	create_hess_f_xp (int l) const

virtual RCP< LinearOpBase < Scalar > >	create_hess_f_pp (int l1, int l2) const

virtual RCP< LinearOpBase < Scalar > >	create_hess_g_xx (int j) const

virtual RCP< LinearOpBase < Scalar > >	create_hess_g_xp (int j, int l) const

virtual RCP< LinearOpBase < Scalar > >	create_hess_g_pp (int j, int l1, int l2) const

Public Member Functions inherited from Thyra::ModelEvaluator< Scalar >
Public Member Functions inherited from Thyra::ModelEvaluatorBase
	ModelEvaluatorBase ()
	constructor More...

Static Public Attributes inherited from Thyra::ModelEvaluatorBase
static const int	NUM_E_IN_ARGS_MEMBERS =13

static const int	NUM_E_OUT_ARGS_MEMBERS =7

Protected Member Functions inherited from Thyra::ModelEvaluatorDelegatorBase< Scalar >
void	setLocalVerbosityLevelValidatedParameter (ParameterList *paramList) const
	Set a valid parameter for reading the local verbosity level. More...

Teuchos::EVerbosityLevel	readLocalVerbosityLevelValidatedParameter (ParameterList &paramList) const
	Read the local verbosity level parameter. More...

Protected Member Functions inherited from Thyra::ModelEvaluatorDefaultBase< Scalar >
	ModelEvaluatorDefaultBase ()

void	initializeDefaultBase ()
	Function called by subclasses to fully initialize this object on any important change. More...

void	resetDefaultBase ()
	Sets the the DefaultBase to an uninitialized state, forcing lazy initialization when needed. More...

Detailed Description

template<class Scalar>
class Thyra::DefaultLumpedParameterModelEvaluator< Scalar >

Decorator class that wraps any ModelEvaluator object and lumps parameters together using a linear basis matrix.

Introduction

The purpose of this Decorator class is to provide a linear basis reduction, or "lumping", for a set of parameters. Let p_orig be one of the parameter subvectors of the underlying model *getUnderlyingModel(). This class provides an affine model for the reduced parameters:

  p_orig = B * p + p_orig_base

where B is some MultiVectorBase object with linearly independent columns where B.range()->isCompatible(*p_orig.space())==true and B.domain()->dim() <= B.range()->dim(). The basis matrix B can be set by the client or can be generated automatically in this object for any number of columns. The vector p_orig_base is generally selected to be the nominal values of the original parameters p_orig in which case p == 0 gives the original nominal values and p != 0 gives a perturbation from the nominal values. This is the default option but a different base vector can be set. Note that storing B as a column-wise multi-vector allows the space *p_orig.space() to be any arbitrary vector space, including a parallel distributed vector space in an SPMD program. It is this flexibility that truly makes this decorator class an ANA class.

The reduced parameter subvector p is what is exposed to an ANA client dnd the original parameter subvector p_orig is what is passed to the original underlying model. Note that given p, p_orig is uniquely determined but opposite is not true in general (see Section Mapping between fully and reduced parameters).

Derivatives

The reduced basis B of course affects the definition of all of the derivatives with respect to the given parameter subvector. The relationship between the derivative of any function h with respect to p_orig and p is:

  d(h)/d(p) = d(h)/d(p_orig) * B

When d(h)/d(p) is only needed as a linear operator, both d(h)/d(p_orig) and B would just need to be supplied as general linear operators and then the multiplied linear operator d(h)/d(p_orig)*B could be represented implicitly using a Thyra::DefaultMultipliedLinearOp subclass object.

When d(h)/d(p) is only needed as a column-wise multi-vector, then d(h)/d(p_orig) is only needed as a general linear operator and B must be a column-wise multi-vector.

Lastly, when the row-wise transpose multi-vector form of d(h)/d(p)^T is requested, it can be computed as:

  d(h)/d(p)^T = B^T * d(h)/d(p_orig)^T

which requires that d(h)/d(p_orig)^T be supplied in row-wise transpose multi-vector form but B could actually just be a general linear operator. This would allow for huge spaces for p_orig and p which may be of some use for adjoint-based sensitivity methods.

Since the current implementation in this class requires B be a multi-vector, both forms d(h)/d(p) and d(h)/d(p)^T can be supported. In the future, it would be possible to support the implementation of B as a general linear operator which would mean that very large full and reduced parameter spaces could be supported. However, focusing on small reduced parameter spaces is the very motivation for this decorator subclass and therefore requiring that B be represented as a multi-vector is not a serious limitation.

Mapping between fully and reduced parameters

In cases where p_orig is given and p must be determined, in general there is no solution for p that will satisfy p_orig=B*p+p_orig_base.

To support the (overdetermined) mapping from p_orig to p, we choose p to solve the classic linear least squares problem:

  min   0.5 * (B*p + p_orig_base - p_orig)^T * (B*p + p_orig_base - p_orig)

This well known linear least squares problem has the solution:

  p = inv(B^T * B) * (B^T * (-p_orig_base+p_oirg))

This approach has the unfortunate side effect that we can not completely represent an arbitrary vector p_orig with a reduced p but this is the nature of this approximation for both good and bad.

The one case in which a unique reduced p can be determined is when p_orig was computed from the afffine relationship given p and therefore we expect a zero residual meaning that (p_orig_base-p_oirg) lies in the null-space of B. This is handy when one wants to write out p in the form of p_orig and then reconstruct p again.

Parameter bounds

As mentioned above, one can simply select p_orig_base to be the nominal values of the original full parameters p_orig and therefore allow p==0 to give the exact nominal parameter values which is critical for the initial guess for many ANAs. The problem of handling the bounds on the parameters is more difficult. This approximation really requires that the simple bounds on p_orig be replaced with the general linear inequality constraints:

  p_orig_l - p_orig_base <= B*p <= p_orig_u - p_orig_base

Modeling and enforcing these linear inequality constraints correctly would require that B and p_orig_base be exposed to the client so that the client can build these extra linear inequality constraints into the ANA algorithm. Certain optimization algorithms could then enforce these general inequalities and therefore guarantee that the original parameter bounds are never violated. This is easy to do in both active-set and interior-point methods when the size of the space p_orig.space()->dim() is not too large. When p_orig.space()->dim() is large, handling these inequality constraints can be very difficult to deal with.

An alternative simpler approach would be to try to find lower and upper bounds p_l and p_u that tried to match the original bounds as close as possible while not restricting the feasible region p_l <= p <= p_u too much. For example, one could solve the inequality-constrained least squares problems:

  min     0.5 * (B*p+p_orig_base-p_orig_l)^T * (B*p+p_orig_base-p_orig_l)
  s.t.    B*p+p_orig_base >= p_orig_l

and

  min     0.5 * (B*p+p_orig_base-p_orig_u)^T * (B*p+p_orig_base-p_orig_u)
  s.t.    B*p+p_orig_base <= p_orig_u

but in general it would not be possible to guarantee that the solution p_l and p_u satisfies p_l <= p <= p_u.

Because of the challenges of dealing with bounds on the parameters, this subclass currently throws an exception if it is given an underlying model with finite bounds on the parameters. However, a parameter-list option can be set that will cause the bounds to be ignored and it would be the client's responsibility to deal with the implications of this choice.

Definition at line 240 of file Thyra_DefaultLumpedParameterModelEvaluator.hpp.

Constructor & Destructor Documentation

template<class Scalar >

Thyra::DefaultLumpedParameterModelEvaluator< Scalar >::DefaultLumpedParameterModelEvaluator ( )

Definition at line 527 of file Thyra_DefaultLumpedParameterModelEvaluator.hpp.

Member Function Documentation

template<class Scalar >

void Thyra::DefaultLumpedParameterModelEvaluator< Scalar >::initialize ( const RCP< ModelEvaluator< Scalar > > & thyraModel )

Definition at line 541 of file Thyra_DefaultLumpedParameterModelEvaluator.hpp.

template<class Scalar >

void Thyra::DefaultLumpedParameterModelEvaluator< Scalar >::uninitialize ( RCP< ModelEvaluator< Scalar > > * thyraModel )

Definition at line 552 of file Thyra_DefaultLumpedParameterModelEvaluator.hpp.

template<class Scalar >

std::string Thyra::DefaultLumpedParameterModelEvaluator< Scalar >::description ( ) const

virtual

Reimplemented from Teuchos::Describable.

Definition at line 567 of file Thyra_DefaultLumpedParameterModelEvaluator.hpp.

template<class Scalar >

void Thyra::DefaultLumpedParameterModelEvaluator< Scalar >::setParameterList ( RCP< Teuchos::ParameterList > const & paramList )

virtual

Implements Teuchos::ParameterListAcceptor.

Definition at line 587 of file Thyra_DefaultLumpedParameterModelEvaluator.hpp.

template<class Scalar >

RCP< Teuchos::ParameterList > Thyra::DefaultLumpedParameterModelEvaluator< Scalar >::getNonconstParameterList ( )

virtual

Implements Teuchos::ParameterListAcceptor.

Definition at line 636 of file Thyra_DefaultLumpedParameterModelEvaluator.hpp.

template<class Scalar >

RCP< Teuchos::ParameterList > Thyra::DefaultLumpedParameterModelEvaluator< Scalar >::unsetParameterList ( )

virtual

Implements Teuchos::ParameterListAcceptor.

Definition at line 644 of file Thyra_DefaultLumpedParameterModelEvaluator.hpp.

template<class Scalar >

RCP< const Teuchos::ParameterList > Thyra::DefaultLumpedParameterModelEvaluator< Scalar >::getParameterList ( ) const

virtual

Reimplemented from Teuchos::ParameterListAcceptor.

Definition at line 654 of file Thyra_DefaultLumpedParameterModelEvaluator.hpp.

template<class Scalar >

RCP< const Teuchos::ParameterList > Thyra::DefaultLumpedParameterModelEvaluator< Scalar >::getValidParameters ( ) const

virtual

Reimplemented from Teuchos::ParameterListAcceptor.

Definition at line 662 of file Thyra_DefaultLumpedParameterModelEvaluator.hpp.

template<class Scalar >

RCP< const VectorSpaceBase< Scalar > > Thyra::DefaultLumpedParameterModelEvaluator< Scalar >::get_p_space ( int l ) const

virtual

Implements Thyra::ModelEvaluator< Scalar >.

Definition at line 708 of file Thyra_DefaultLumpedParameterModelEvaluator.hpp.

template<class Scalar >

RCP< const Array< std::string > > Thyra::DefaultLumpedParameterModelEvaluator< Scalar >::get_p_names ( int l ) const

virtual

Implements Thyra::ModelEvaluator< Scalar >.

Definition at line 719 of file Thyra_DefaultLumpedParameterModelEvaluator.hpp.

template<class Scalar >

ModelEvaluatorBase::InArgs< Scalar > Thyra::DefaultLumpedParameterModelEvaluator< Scalar >::getNominalValues ( ) const

virtual

Implements Thyra::ModelEvaluator< Scalar >.

Definition at line 730 of file Thyra_DefaultLumpedParameterModelEvaluator.hpp.

template<class Scalar >

ModelEvaluatorBase::InArgs< Scalar > Thyra::DefaultLumpedParameterModelEvaluator< Scalar >::getLowerBounds ( ) const

virtual

Implements Thyra::ModelEvaluator< Scalar >.

Definition at line 739 of file Thyra_DefaultLumpedParameterModelEvaluator.hpp.

template<class Scalar >

ModelEvaluatorBase::InArgs< Scalar > Thyra::DefaultLumpedParameterModelEvaluator< Scalar >::getUpperBounds ( ) const

virtual

Implements Thyra::ModelEvaluator< Scalar >.

Definition at line 748 of file Thyra_DefaultLumpedParameterModelEvaluator.hpp.

template<class Scalar >

void Thyra::DefaultLumpedParameterModelEvaluator< Scalar >::reportFinalPoint	(	const ModelEvaluatorBase::InArgs< Scalar > &	finalPoint,
		const bool	wasSolved
	)