#include <synthetic.hpp>
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
The Langerman-5 function has the following formula:
\[ f(\mathbf{x}) = -\sum^m_{i=1}c_i e^{-\frac{1}{\pi} \sum^D_{j=1}(x_j-a_{ij})^2} \cos\left(\pi\sum^D_{j=1}(x_j-a_{ij})^2\right), \]
where the matrix \(\mathbf{A}\) and the column vector \(\mathbf{c}\) are given by
\[ \begin{align*} \mathbf{A} = [A_{ij}] &= \begin{bmatrix} 9.681 & 0.667 & 4.783 & 9.095 & 3.517 & 9.325 & 6.544 & 0.211 & 5.122 & 2.020 // 9.400 & 2.041 & 3.788 & 7.931 & 2.882 & 2.672 & 3.568 & 1.284 & 7.033 & 7.374 // 8.025 & 9.152 & 5.114 & 7.621 & 4.564 & 4.711 & 2.996 & 6.126 & 0.734 & 4.982 // 2.196 & 0.415 & 5.649 & 6.979 & 9.510 & 9.166 & 6.304 & 6.054 & 9.377 & 1.426 // 8.074 & 8.777 & 3.467 & 1.863 & 6.708 & 6.349 & 4.534 & 0.276 & 7.633 & 1.5 \end{bmatrix} \\ \mathbf{c} = c_i &= \begin{bmatrix} 0.806 \\ 0.517 \\ 1.5 \\ 0.908 \\ 0.9 \end{bmatrix} \end{align*} \]
subject to \(0 \le x_i \le 10\) for \(i \in [0, D-1]\) with \(m = 5\). The global mimimum is at \(f(\mathbf{x}^*) = -1.4\).
- Todo:
- find location of global minimum.
Member Function Documentation
◆ evaluate()
|
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.
The documentation for this class was generated from the following files:
- includes/benchmarks/synthetic.hpp
- src/benchmarks/synthetic.cpp
