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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.

\[ f(x) = 0.5 * \sum_{i=1}^{d} x_i^4 - 16_i^2+5x_i \]

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 ( const size_t  n)

Member Function Documentation

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
inline

Get the starting point.

Definition at line 64 of file styblinski_tang_function.hpp.

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
inline

Return 1 (the number of functions).

Definition at line 61 of file styblinski_tang_function.hpp.

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: