CAROM::VectorInterpolator Class Reference

#include <VectorInterpolator.h>

Inheritance diagram for CAROM::VectorInterpolator:

Public Member Functions
	VectorInterpolator (std::vector< Vector * > parameter_points, std::vector< Matrix * > rotation_matrices, std::vector< Vector * > reduced_vectors, int ref_point, std::string rbf="G", double epsilon=1.0)
	Constructor. More...
Vector *	interpolate (Vector *point)
	Obtain the interpolated reduced vector of the unsampled parameter point. More...

Additional Inherited Members
Protected Member Functions inherited from CAROM::Interpolator
	Interpolator (std::vector< Vector * > parameter_points, std::vector< Matrix * > rotation_matrices, int ref_point, std::string rbf, double epsilon=1.0)
	Constructor. More...
std::vector< double >	obtainRBFToTrainingPoints (Vector *point)
	Compute the RBF from the parameter points with the unsampled parameter point. More...
double	obtainRBF (Vector *point1, Vector *point2)
	Compute the RBF between two points. More...
Protected Attributes inherited from CAROM::Interpolator
int	d_rank
	The rank of the process this object belongs to.
int	d_num_procs
	The number of processors being run on.
int	d_ref_point
	The index within the vector of parameter points to the reference point.
std::string	d_rbf
	The RBF type (gaussian, multiquadric, inverse quadratic, inverse multiquadric)
int	d_epsilon
	The RBF parameter that determines the width of influence. a small epsilon: larger influential width a large epsilon: smaller influential width.
std::vector< Vector * >	d_parameter_points
	The sampled parameter points.
std::vector< Matrix * >	d_rotation_matrices
	The reduced bases with compatible coordinates.
Matrix *	d_lambda_T
	The reduced elements in tangential space.

Detailed Description

VectorInterpolator interpolates reduced vectors of a set of parameter points and returns an interpolated reduced vector for an unseen parameter point. The interpolation algorithm was adapted from "Gradient-based Constrained Optimization Using a Database of Linear Reduced-Order Models" by Y. Choi et al.

Constructor & Destructor Documentation

CAROM::VectorInterpolator::VectorInterpolator	(	std::vector< Vector * >	parameter_points,
		std::vector< Matrix * >	rotation_matrices,
		std::vector< Vector * >	reduced_vectors,
		int	ref_point,
		std::string	rbf = "G",
		double	epsilon = 1.0
	)

Constructor.

Parameters

[in]	parameter_points	The parameter points.
[in]	rotation_matrices	The rotation matrices associated with each parameter point.
[in]	reduced_vectors	The reduced vectors associated with each parameter point.
[in]	ref_point	The index within the vector of parameter points to the reference point
[in]	rbf	The RBF type ("G" == gaussian, "MQ" == multiquadric, "IQ" == inverse quadratic, "IMQ" == inverse multiquadric)
[in]	epsilon	The RBF parameter that determines the width of influence.

Member Function Documentation

Vector* CAROM::VectorInterpolator::interpolate

(

Vector *

point

)

Obtain the interpolated reduced vector of the unsampled parameter point.

Parameters

[in]

point

The unsampled parameter point.

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

• lib/algo/manifold_interp/VectorInterpolator.h