Increasing power unconstrained test problem. More...

#include <IncreasingPower.hpp>

Inheritance diagram for sgpp::optimization::test_problems::IncreasingPower:

Public Member Functions
TestScalarFunction &	getObjectiveFunction () override

double	getOptimalPointUndisplaced (base::DataVector &x) override

	IncreasingPower (size_t d)
	Constructor. More...

	~IncreasingPower () 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 Attributes
IncreasingPowerObjective	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...

Protected Member Functions inherited from sgpp::optimization::test_problems::UnconstrainedTestProblem
virtual bool	isDisplacementFeasible ()
	Checks if the current displacement is ok for the specific objective function. More...

Detailed Description

Increasing power unconstrained test problem.

Number of parameters: \(d\)
Domain: \(\bar{\vec{x}} \in [0, 1]^d\)
Optimal point: \(\bar{\vec{x}}_{\text{opt}} = (2^{-t})_{t=1}^d\)
Optimal function value: \(\bar{f}(\bar{\vec{x}}_{\text{opt}}) = 0\)

Constructor & Destructor Documentation

◆ IncreasingPower()

sgpp::optimization::test_problems::IncreasingPower::IncreasingPower ( size_t d )

explicit

Constructor.

Parameters

d	dimension of the domain

◆ ~IncreasingPower()

sgpp::optimization::test_problems::IncreasingPower::~IncreasingPower ( )

override

Destructor.

Member Function Documentation

◆ getObjectiveFunction()

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

overridevirtual

Returns: objective function of the test problem

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

References f.

◆ getOptimalPointUndisplaced()

double sgpp::optimization::test_problems::IncreasingPower::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.

References sgpp::optimization::test_problems::UnconstrainedTestProblem::d, and sgpp::combigrid::pow().

Member Data Documentation

◆ f

IncreasingPowerObjective sgpp::optimization::test_problems::IncreasingPower::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/IncreasingPower.hpp
optimization/src/sgpp/optimization/test_problems/unconstrained/IncreasingPower.cpp

Public Member Functions

Protected Attributes

Additional Inherited Members