CAROM::VectorInterpolator Class Reference

#include <VectorInterpolator.h>

Inheritance diagram for CAROM::VectorInterpolator:

Public Member Functions
	VectorInterpolator (const std::vector< Vector > &parameter_points, const std::vector< std::shared_ptr< Matrix >> &rotation_matrices, const std::vector< std::shared_ptr< Vector >> &reduced_vectors, int ref_point, std::string rbf="G", std::string interp_method="LS", double closest_rbf_val=0.9, bool compute_gradients=false)
	Constructor. More...
std::shared_ptr< Vector >	interpolate (const Vector &point)
	Obtain the interpolated reduced vector of the unsampled parameter point. More...
std::vector< std::shared_ptr< Vector > >	getGradient ()
	Returns the interpolated matrix's gradient.

Additional Inherited Members
Protected Member Functions inherited from CAROM::Interpolator
	Interpolator (const std::vector< Vector > &parameter_points, const std::vector< std::shared_ptr< Matrix >> &rotation_matrices, int ref_point, std::string rbf, std::string interp_method, double closest_rbf_val=0.9, bool compute_gradients=false)
	Constructor. 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)
std::string	d_interp_method
	The interpolation method (linear solve, inverse distance weighting, lagrangian polynomials)
double	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< std::shared_ptr< Matrix > >	d_rotation_matrices
	The reduced bases with compatible coordinates.
std::unique_ptr< Matrix >	d_lambda_T
	The RHS of the linear solve in tangential space.
bool	d_compute_gradients
	Flag that determines if a gradient with respect to the parameters should be computed.
std::vector< std::shared_ptr< Vector > >	d_interpolation_gradient
	Gradient with respect to the parameters. Only exists after interpolate has been run.

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.

Definition at line 33 of file VectorInterpolator.h.

Constructor & Destructor Documentation

VectorInterpolator()

CAROM::VectorInterpolator::VectorInterpolator	(	const std::vector< Vector > &	parameter_points,
		const std::vector< std::shared_ptr< Matrix >> &	rotation_matrices,
		const std::vector< std::shared_ptr< Vector >> &	reduced_vectors,
		int	ref_point,
		std::string	rbf = "G",
		std::string	interp_method = "LS",
		double	closest_rbf_val = 0.9,
		bool	compute_gradients = false
	)

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, "IQ" == inverse quadratic, "IMQ" == inverse multiquadric)
[in]	interp_method	The interpolation method type ("LS" == linear solve, "IDW" == inverse distance weighting, "LP" == lagrangian polynomials)
[in]	closest_rbf_val	The RBF parameter determines the width of influence. Set the RBF value of the nearest two parameter points to a value between 0.0 to 1.0
[in]	compute_gradients	Choose whether or not to compute the gradient along with the interpolation.

Definition at line 41 of file VectorInterpolator.cpp.

Member Function Documentation

interpolate()

std::shared_ptr< Vector > CAROM::VectorInterpolator::interpolate

(

const Vector &

point

)

Obtain the interpolated reduced vector of the unsampled parameter point.

Parameters

[in]

point

The unsampled parameter point.

Definition at line 90 of file VectorInterpolator.cpp.

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

• lib/algo/manifold_interp/VectorInterpolator.h
• lib/algo/manifold_interp/VectorInterpolator.cpp