StyblinskiTangFunction Class Reference

The Styblinski-Tang function, defined by. More...

Public Member Functions
	StyblinskiTangFunction (const size_t n)
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 Styblinski-Tang function, defined by.

This should optimize to f(x) = -39.16599 * d at x = [-2.903534, ..., -2.903534].

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 styblinski_tang_function.hpp.

Constructor & Destructor Documentation

StyblinskiTangFunction()

StyblinskiTangFunction

(

const size_t

n

)

Member Function Documentation

Evaluate() [1/2]

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

Referenced by StyblinskiTangFunction::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 styblinski_tang_function.hpp.

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

Gradient() [1/2]

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

Referenced by StyblinskiTangFunction::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 styblinski_tang_function.hpp.

Shuffle()

void Shuffle

(

)

Shuffle the order of function visitation.

This may be called by the optimizer.

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

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