Hoelder table unconstrained test problem. More...

#include <HoelderTable.hpp>

Inheritance diagram for sgpp::optimization::test_problems::HoelderTable:

Public Member Functions
TestScalarFunction &	getObjectiveFunction () override

double	getOptimalPointUndisplaced (base::DataVector &x) override

	HoelderTable ()
	Constructor. More...

	~HoelderTable () override
	Destructor. More...

Public Member Functions inherited from sgpp::optimization::test_problems::UnconstrainedTestProblem
void	generateDisplacement ()
	Generate normally distributed pseudorandom displacement with default standard deviation. More...

void	generateDisplacement (double stdDev)
	Generate normally distributed pseudorandom displacement. More...

const base::DataVector &	getDisplacement () const

double	getOptimalPoint (base::DataVector &x)
	Returns the minimal point of the displaced function. More...

void	setDisplacement (const base::DataVector &displacement)
	Sets the displacement vector. More...

	UnconstrainedTestProblem (size_t d)
	Constructor. More...

virtual	~UnconstrainedTestProblem ()
	Destructor. More...

Protected Member Functions
bool	isDisplacementFeasible () override
	Checks if \(\vec{d} \in [-0.005, 0.005] \times [-0.01, 0.01]\). More...

Protected Attributes
HoelderTableObjective	f
	objective function More...

Protected Attributes inherited from sgpp::optimization::test_problems::UnconstrainedTestProblem
size_t	d
	number of parameters More...

base::DataVector	displacement
	displacement vector More...

Additional Inherited Members
Static Public Attributes inherited from sgpp::optimization::test_problems::UnconstrainedTestProblem
static constexpr double	DEFAULT_STANDARD_DEVIATION = 0.01
	default standard deviation for the displacement vector More...

Detailed Description

Hoelder table unconstrained test problem.

Number of parameters: 2
Domain: \(\bar{\vec{x}} \in [-10, 10]^2\)
Optimal point: \(\bar{\vec{x}}_{\text{opt}} \in \{(8.055023, \pm 9.664590), (-8.055023, \pm 9.664590)\}\)
Optimal function value: \(\bar{f}(\bar{\vec{x}}_{\text{opt}}) = -19.20850\)

The displacement is restricted because the minimal points lie near the corners of \([0, 1]^2\).

Constructor & Destructor Documentation

◆ HoelderTable()

sgpp::optimization::test_problems::HoelderTable::HoelderTable ( )

Constructor.

◆ ~HoelderTable()

sgpp::optimization::test_problems::HoelderTable::~HoelderTable ( )

override

Destructor.

Member Function Documentation

◆ getObjectiveFunction()

TestScalarFunction & sgpp::optimization::test_problems::HoelderTable::getObjectiveFunction ( )

overridevirtual

Returns: objective function of the test problem

Implements sgpp::optimization::test_problems::UnconstrainedTestProblem.

References f.

◆ getOptimalPointUndisplaced()

double sgpp::optimization::test_problems::HoelderTable::getOptimalPointUndisplaced ( base::DataVector & x )

overridevirtual

Parameters

[out] x minimal point \(\vec{x}_\opt \in [0, 1]^d\)

Returns: minimal function value \(f(\vec{x}_\opt)\)

Implements sgpp::optimization::test_problems::UnconstrainedTestProblem.

◆ isDisplacementFeasible()

bool sgpp::optimization::test_problems::HoelderTable::isDisplacementFeasible ( )

overrideprotectedvirtual

Checks if \(\vec{d} \in [-0.005, 0.005] \times [-0.01, 0.01]\).

Returns: whether the current displacement is feasible

Reimplemented from sgpp::optimization::test_problems::UnconstrainedTestProblem.

References sgpp::optimization::test_problems::UnconstrainedTestProblem::displacement, and sgpp::optimization::test_problems::UnconstrainedTestProblem::isDisplacementFeasible().

Member Data Documentation

◆ f

HoelderTableObjective sgpp::optimization::test_problems::HoelderTable::f

protected

objective function

Referenced by getObjectiveFunction().

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

optimization/src/sgpp/optimization/test_problems/unconstrained/HoelderTable.hpp
optimization/src/sgpp/optimization/test_problems/unconstrained/HoelderTable.cpp

Public Member Functions

Protected Member Functions

Protected Attributes

Additional Inherited Members