BukinFunction Class Reference

The Bukin function, defined by. More...

Public Member Functions
	BukinFunction (const double epsilon=1e-8)
double	Epsilon () const
	Get the value used for numerical stability. More...
double &	Epsilon ()
	Modify the value used for numerical stability. More...
double	Evaluate (const arma::mat &coordinates, const size_t begin, const size_t batchSize) const
double	Evaluate (const arma::mat &coordinates) const
arma::mat	GetInitialPoint () const
	Get the starting point. More...
void	Gradient (const arma::mat &coordinates, const size_t begin, arma::mat &gradient, const size_t batchSize) const
void	Gradient (const arma::mat &coordinates, arma::mat &gradient)
size_t	NumFunctions () const
	Return 1 (the number of functions). More...
void	Shuffle ()
	Shuffle the order of function visitation. More...

Detailed Description

The Bukin function, defined by.

This should optimize to f(x) = 0, at x = [-10, 1].

For more information, please refer to:

@article{Jamil2013,
  title   = {A Literature Survey of Benchmark Functions For Global
             Optimization Problems},
  author  = {Momin Jamil and Xin{-}She Yang},
  journal = {CoRR},
  year    = {2013},
  url     = {http://arxiv.org/abs/1308.4008}
}

Definition at line 44 of file bukin_function.hpp.

Constructor & Destructor Documentation

BukinFunction()

BukinFunction

(

const double

epsilon = 1e-8

)

Member Function Documentation

Epsilon() [1/2]

double Epsilon ( ) const

inline

Get the value used for numerical stability.

Definition at line 106 of file bukin_function.hpp.

Epsilon() [2/2]

double& Epsilon ( )

inline

Modify the value used for numerical stability.

Definition at line 108 of file bukin_function.hpp.

Evaluate() [1/2]

double Evaluate	(	const arma::mat &	coordinates,
		const size_t	begin,
		const size_t	batchSize
	)		const

Referenced by BukinFunction::GetInitialPoint().

Evaluate() [2/2]

double Evaluate

(

const arma::mat &

coordinates

)

const

GetInitialPoint()

arma::mat GetInitialPoint ( ) const

inline

Get the starting point.

Definition at line 64 of file bukin_function.hpp.

References BukinFunction::Evaluate(), and BukinFunction::Gradient().

Gradient() [1/2]

void Gradient	(	const arma::mat &	coordinates,
		const size_t	begin,
		arma::mat &	gradient,
		const size_t	batchSize
	)		const

Referenced by BukinFunction::GetInitialPoint().

Gradient() [2/2]

void Gradient	(	const arma::mat &	coordinates,
		arma::mat &	gradient
	)

NumFunctions()

size_t NumFunctions ( ) const

inline

Return 1 (the number of functions).

Definition at line 61 of file bukin_function.hpp.

Shuffle()

void Shuffle

(

)

Shuffle the order of function visitation.

This may be called by the optimizer.

---

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

• src/mlpack/core/optimizers/problems/bukin_function.hpp