DropWaveFunction Class Reference

The Drop-Wave function, defined by. More...

Public Member Functions

 DropWaveFunction ()
 Initialize the DropWaveFunction. 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 Drop-Wave function, defined by.

\[ f(x) = - (1 + \cos(12 * \sqrt(x_1^2 + x_2^2))) / (0.5 * (x_1^2 + x_2^2) + 2) \]

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

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 43 of file drop_wave_function.hpp.

Constructor & Destructor Documentation

◆ DropWaveFunction()

Initialize the DropWaveFunction.

Member Function Documentation

◆ Evaluate() [1/2]

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

◆ Evaluate() [2/2]

double Evaluate ( const arma::mat &  coordinates) const

◆ GetInitialPoint()

arma::mat GetInitialPoint ( ) const
inline

Get the starting point.

Definition at line 59 of file drop_wave_function.hpp.

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

◆ Gradient() [1/2]

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

◆ 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 56 of file drop_wave_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: