sgpp::optimization::IterativeGridGeneratorFuzzyRitterNovak Class Reference

Iterative grid generation based on Ritter/Novak's refinement criterion like IterativeGridGeneratorRitterNovak, but adapted for the use with fuzzy intervals. More...

#include <IterativeGridGeneratorFuzzyRitterNovak.hpp>

Inheritance diagram for sgpp::optimization::IterativeGridGeneratorFuzzyRitterNovak:

Public Member Functions
bool	generate () override
	Destructor.
size_t	getNumberOfAlphaSegments () const
const std::vector< FuzzyInterval * > &	getXFuzzy () const
	IterativeGridGeneratorFuzzyRitterNovak (base::ScalarFunction &f, base::Grid &grid, size_t N, const std::vector< FuzzyInterval * > &xFuzzy, size_t numberOfAlphaSegments=DEFAULT_NUMBER_OF_ALPHA_SEGMENTS, double adaptivity=DEFAULT_ADAPTIVITY, base::level_t initialLevel=DEFAULT_INITIAL_LEVEL, base::level_t maxLevel=DEFAULT_MAX_LEVEL, PowMethod powMethod=PowMethod::STD_POW)
	Constructor.
void	setNumberOfAlphaSegments (size_t numberOfAlphaSegments)
void	setXFuzzy (const std::vector< FuzzyInterval * > &xFuzzy)
	~IterativeGridGeneratorFuzzyRitterNovak () override
Public Member Functions inherited from sgpp::optimization::IterativeGridGeneratorRitterNovak
bool	generate () override
	Generate the grid.
double	getAdaptivity () const
base::level_t	getInitialLevel () const
base::level_t	getMaxLevel () const
PowMethod	getPowMethod () const
	IterativeGridGeneratorRitterNovak (base::ScalarFunction &f, base::Grid &grid, size_t N, double adaptivity=DEFAULT_ADAPTIVITY, base::level_t initialLevel=DEFAULT_INITIAL_LEVEL, base::level_t maxLevel=DEFAULT_MAX_LEVEL, PowMethod powMethod=PowMethod::STD_POW)
	Constructor.
void	setAdaptivity (double adaptivity)
void	setInitialLevel (base::level_t initialLevel)
void	setMaxLevel (base::level_t maxLevel)
void	setPowMethod (PowMethod powMethod)
	~IterativeGridGeneratorRitterNovak () override
	Destructor.
Public Member Functions inherited from sgpp::optimization::IterativeGridGenerator
const base::DataVector &	getFunctionValues () const
base::Grid &	getGrid () const
	IterativeGridGenerator (base::ScalarFunction &f, base::Grid &grid, size_t N)
	Constructor.
void	printIterativeGridGenerator () const
	Prints grid points and function values.
virtual	~IterativeGridGenerator ()
	Destructor.

Static Public Attributes
static const size_t	DEFAULT_NUMBER_OF_ALPHA_SEGMENTS = 10
Static Public Attributes inherited from sgpp::optimization::IterativeGridGeneratorRitterNovak
static constexpr double	DEFAULT_ADAPTIVITY = 0.85
	default adaptivity
static const base::level_t	DEFAULT_INITIAL_LEVEL = 3
	default level of initial regular sparse grid
static const base::level_t	DEFAULT_MAX_LEVEL = 20
	default maximal level of grid points

Protected Attributes
size_t	numberOfAlphaSegments
	number of alpha segments (i.e., number of inner Ritter-Novak generations)
std::vector< FuzzyInterval * >	xFuzzy
	fuzzy input intervals
Protected Attributes inherited from sgpp::optimization::IterativeGridGeneratorRitterNovak
double	gamma
	adaptivity
base::level_t	initialLevel
	level of initial regular sparse grid
base::level_t	maxLevel
	maximal level of grid points
PowMethod	powMethod
	exponentiation method
Protected Attributes inherited from sgpp::optimization::IterativeGridGenerator
base::ScalarFunction &	f
	objective function
base::DataVector	functionValues
	vector of function values at the grid points
base::Grid &	grid
	underlying grid
size_t	N
	maximal number of grid points

Additional Inherited Members
Public Types inherited from sgpp::optimization::IterativeGridGeneratorRitterNovak
enum class	PowMethod { STD_POW , FAST_POW }
	exponentiation methods More...
Protected Member Functions inherited from sgpp::optimization::IterativeGridGenerator
void	evalFunction (size_t oldGridSize=0)
	Evaluates the objective function at grid points with indices [oldGridSize, oldGridSize + 1, ..., grid.getSize() - 1] and saves values in functionValues.
void	undoRefinement (size_t oldGridSize)
	Removes grid points with indices [oldGridSize, oldGridSize + 1, ..., grid.getSize() - 1] from the grid.

Detailed Description

Iterative grid generation based on Ritter/Novak's refinement criterion like IterativeGridGeneratorRitterNovak, but adapted for the use with fuzzy intervals.

Caution: This class uses HashRefinementMultiple, so it generates grids that don't meet the "hierarchical ancestors" requirement!

Literature: Julian Valentin. B-Splines for Sparse Grids: Algorithms and Application to Higher-Dimensional Optimization. PhD thesis, University of Stuttgart, IPVS, 2019.

See also

IterativeGridGeneratorRitterNovak

HashRefinementMultiple

Constructor & Destructor Documentation

IterativeGridGeneratorFuzzyRitterNovak()

sgpp::optimization::IterativeGridGeneratorFuzzyRitterNovak::IterativeGridGeneratorFuzzyRitterNovak	(	base::ScalarFunction &	f,
		base::Grid &	grid,
		size_t	N,
		const std::vector< FuzzyInterval * > &	xFuzzy,
		size_t	numberOfAlphaSegments = DEFAULT_NUMBER_OF_ALPHA_SEGMENTS,
		double	adaptivity = DEFAULT_ADAPTIVITY,
		base::level_t	initialLevel = DEFAULT_INITIAL_LEVEL,
		base::level_t	maxLevel = DEFAULT_MAX_LEVEL,
		PowMethod	powMethod = PowMethod::STD_POW
	)

Constructor.

Do not destruct the grid before this object!

Parameters

f	objective function
grid	grid (should be empty)
N	maximal number of grid points
xFuzzy	fuzzy input intervals
numberOfAlphaSegments	number of alpha segments (i.e., number of inner Ritter-Novak generations)
adaptivity	adaptivity between 0 and 1
initialLevel	level of initial regular sparse grid
maxLevel	maximal level of grid points
powMethod	exponentiation method (fastPow is faster than std::pow, but only approximative)

~IterativeGridGeneratorFuzzyRitterNovak()

sgpp::optimization::IterativeGridGeneratorFuzzyRitterNovak::~IterativeGridGeneratorFuzzyRitterNovak ( )

override

Member Function Documentation

generate()

bool sgpp::optimization::IterativeGridGeneratorFuzzyRitterNovak::generate ( )

overridevirtual

Destructor.

Implements sgpp::optimization::IterativeGridGenerator.

References sgpp::optimization::IterativeGridGenerator::evalFunction(), sgpp::optimization::IterativeGridGenerator::f, sgpp::base::HashRefinement::free_refine(), sgpp::optimization::IterativeGridGenerator::functionValues, sgpp::optimization::IterativeGridGeneratorRitterNovak::gamma, sgpp::base::HashGridPoint::get(), sgpp::base::Grid::getGenerator(), sgpp::base::Printer::getInstance(), sgpp::base::HashGridPoint::getLevel(), sgpp::base::ScalarFunction::getNumberOfParameters(), sgpp::base::DataVector::getSize(), sgpp::base::Grid::getStorage(), sgpp::optimization::IterativeGridGenerator::grid, sgpp::optimization::IterativeGridGeneratorRitterNovak::initialLevel, sgpp::optimization::IterativeGridGeneratorRitterNovak::maxLevel, sgpp::optimization::IterativeGridGenerator::N, numberOfAlphaSegments, sgpp::optimization::IterativeGridGeneratorRitterNovak::powMethod, sgpp::base::Printer::printStatusBegin(), sgpp::base::Printer::printStatusEnd(), sgpp::base::Printer::printStatusUpdate(), sgpp::base::GridGenerator::regular(), sgpp::base::HashGridPoint::set(), sgpp::base::DataVector::setAll(), sgpp::optimization::IterativeGridGeneratorRitterNovak::STD_POW, sgpp::optimization::IterativeGridGenerator::undoRefinement(), and xFuzzy.

getNumberOfAlphaSegments()

size_t sgpp::optimization::IterativeGridGeneratorFuzzyRitterNovak::getNumberOfAlphaSegments

(

)

const

Returns

number of alpha segments (i.e., number of inner Ritter-Novak generations)

References numberOfAlphaSegments.

getXFuzzy()

const std::vector< FuzzyInterval * > & sgpp::optimization::IterativeGridGeneratorFuzzyRitterNovak::getXFuzzy

(

)

const

Returns

fuzzy input intervals

References xFuzzy.

setNumberOfAlphaSegments()

void sgpp::optimization::IterativeGridGeneratorFuzzyRitterNovak::setNumberOfAlphaSegments

(

size_t

numberOfAlphaSegments

)

Parameters

numberOfAlphaSegments

number of alpha segments (i.e., number of inner Ritter-Novak generations)

References numberOfAlphaSegments.

setXFuzzy()

void sgpp::optimization::IterativeGridGeneratorFuzzyRitterNovak::setXFuzzy

(

const std::vector< FuzzyInterval * > &

xFuzzy

)

Parameters

xFuzzy

fuzzy input intervals

References xFuzzy.

Member Data Documentation

DEFAULT_NUMBER_OF_ALPHA_SEGMENTS

const size_t sgpp::optimization::IterativeGridGeneratorFuzzyRitterNovak::DEFAULT_NUMBER_OF_ALPHA_SEGMENTS = 10

static

numberOfAlphaSegments

size_t sgpp::optimization::IterativeGridGeneratorFuzzyRitterNovak::numberOfAlphaSegments

protected

number of alpha segments (i.e., number of inner Ritter-Novak generations)

Referenced by generate(), getNumberOfAlphaSegments(), and setNumberOfAlphaSegments().

xFuzzy

std::vector<FuzzyInterval*> sgpp::optimization::IterativeGridGeneratorFuzzyRitterNovak::xFuzzy

protected

fuzzy input intervals

Referenced by generate(), getXFuzzy(), and setXFuzzy().

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

• optimization/src/sgpp/optimization/gridgen/IterativeGridGeneratorFuzzyRitterNovak.hpp
• optimization/src/sgpp/optimization/gridgen/IterativeGridGeneratorFuzzyRitterNovak.cpp