Abstract implementation for multiple function evaluations. More...

#include <AlgorithmMultipleEvaluation.hpp>

Public Member Functions
void	mult (GridStorage &storage, BASIS &basis, DataVector &source, DataMatrix &x, DataVector &result)
	Performs a mass evaluation. More...

void	mult_transpose (GridStorage &storage, BASIS &basis, DataVector &source, DataMatrix &x, DataVector &result)
	Performs a transposed mass evaluation. More...

Detailed Description

template<class BASIS>
class sgpp::base::AlgorithmMultipleEvaluation< BASIS >

Abstract implementation for multiple function evaluations.

In Data Mining to operators are needed: mass evaluation and transposed evaluation, referenced in literature as matrix vector products with matrices B^T (mass evaluation) and B (transposed evaluation).

If there are \(N\) basis functions \(\varphi(\vec{x})\) and \(m\) data points, then B is a (mxN) matrix, with

\[ (B)_{j,i} = \varphi_i(x_j). \]

Member Function Documentation

◆ mult()

template<class BASIS>

void sgpp::base::AlgorithmMultipleEvaluation< BASIS >::mult	(	GridStorage &	storage,
		BASIS &	basis,
		DataVector &	source,
		DataMatrix &	x,
		DataVector &	result
	)

inline

Performs a mass evaluation.

Parameters

storage	GridStorage object that contains the grid's points information
basis	a reference to a class that implements a specific basis
source	the coefficients of the grid points
x	the d-dimensional vector with data points (row-wise)
result	the result vector of the matrix vector multiplication

References sgpp::base::DataMatrix::getNcols(), sgpp::base::DataMatrix::getRow(), sgpp::base::DataVector::getSize(), python.statsfileInfo::i, python.utils.data_projections::line, and sgpp::base::DataVector::setAll().

Referenced by sgpp::base::OperationMultipleEvalLinear::mult().

◆ mult_transpose()

template<class BASIS>

void sgpp::base::AlgorithmMultipleEvaluation< BASIS >::mult_transpose	(	GridStorage &	storage,
		BASIS &	basis,
		DataVector &	source,
		DataMatrix &	x,
		DataVector &	result
	)

inline

Performs a transposed mass evaluation.

Parameters

storage	GridStorage object that contains the grid's points information
basis	a reference to a class that implements a specific basis
source	the coefficients of the grid points
x	the d-dimensional vector with data points (row-wise)
result	the result vector of the matrix vector multiplication

References sgpp::base::DataVector::add(), sgpp::base::DataMatrix::getNcols(), sgpp::base::DataMatrix::getRow(), sgpp::base::DataVector::getSize(), python.statsfileInfo::i, python.utils.data_projections::line, and sgpp::base::DataVector::setAll().

Referenced by sgpp::base::OperationMultipleEvalLinear::multTranspose().

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

base/src/sgpp/base/algorithm/AlgorithmMultipleEvaluation.hpp

Public Member Functions

Detailed Description

template<class BASIS> class sgpp::base::AlgorithmMultipleEvaluation< BASIS >

Member Function Documentation

◆ mult()

◆ mult_transpose()

template<class BASIS>
class sgpp::base::AlgorithmMultipleEvaluation< BASIS >