syn::michalewicz12 Class Reference

#include <synthetic.hpp>

Inheritance diagram for syn::michalewicz12:

Public Member Functions
double	evaluate (inst::set x) override
Public Member Functions inherited from syn::synthetic
	synthetic (const std::string &n, u_int dims, double lb, double ub, double opt)
	synthetic (const std::string &n, u_int dims, double opt)
	~synthetic ()
sspace::sspace_t *	get_search_space ()
void	set_properties (std::vector< properties > p)
std::vector< properties >	get_properties ()
inst::set	get_opt_param ()
double	get_opt ()
void	update_opt (double opt)
u_int	get_dims ()
void	validate_param_set (inst::set x)
Public Member Functions inherited from optk::benchmark
	benchmark (const std::string &name)
std::string	get_name ()

Additional Inherited Members
Protected Member Functions inherited from syn::synthetic
void	set_opt_param (inst::set op)
Protected Attributes inherited from syn::synthetic
u_int	m_dims
double	m_lb
double	m_ub
double	m_opt
std::vector< properties >	m_properties
inst::set	opt_params
sspace::sspace_t	m_sspace
Protected Attributes inherited from optk::benchmark
std::string	m_name

Detailed Description

Michalewicz's function (12D) has the following formula

\[ f(\mathbf{x}) = - \sum^{12}_{i=1}\sin(x_i)\left( \sin\left(\frac{ix_i^2}{\pi}\right) \right)^{20m} \]

which is subject to \(0 \le x_1 \le \pi\). In this 12 dimensional version, the global minimum is located at \(\mathbf{x}^* = ( 2.202905513296628, 1.570796322320509, 1.284991564577549, 1.923058467505610, 1.720469766517768, 1.570796319218113, 1.454413962081172, 1.756086513575824, 1.655717409323190, 1.570796319387859, 1.497728796097675, 1.923739461688219,)\), with value \(f(\mathbf{x}^*) = -11.595826967415329\).

Member Function Documentation

evaluate()

double syn::michalewicz12::evaluate ( inst::set  x )

overridevirtual

Evaluate the benchmark (i.e. calculate the value of the objective fuinction) on the provided values.

Parameters

x	A vector of double-precision values to evaluate the benchmark at.

Todo:

Verify that a vector of doubles does not constrict the range of benchmark functions which may be evaluated (i.e. as opposed to categorical variables such as strings).

Implements optk::benchmark.

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

• includes/benchmarks/synthetic.hpp
• src/benchmarks/synthetic.cpp