#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 Cola function is a 17-dimensional function given by
\[ f(\mathbf{x}, \mathbf{y}) = \sum_{j<i}\left(r_{i,j} - d_{i,j}\right)^2, \]
where
\[ x_1 = y_1 = y_2 = 0,\ x_2 = u_1,\ x_i = u_{2(i-2)},\ y_i = u_{2(i-2)+1}, \]
that is; \(x_i\) is 0 for \(i = 1\) and then is equal to all the even indicies of the input parameter vector, similarly \(y_i\) is equal to 0 for the first two elements, and then the odd-indexed elements of the input vector thereafter. Further, \(r_{i,j}\) is given by
\[ r_{i,j} = \sqrt{(x_i - x_j)^2 + (y_i - y_j)^2}, \]
and \(d\) is a symmetric matrix given by:
\[ \mathbf{d} = d_{i,j} = \begin{bmatrix} 1.27 \\ 1.69 & 1.43 \\ 2.04 & 2.35 & 2.43 \\ 3.09 & 3.18 & 3.26 & 2.85 \\ 3.20 & 3.22 & 3.27 & 2.88 & 1.55 \\ 2.86 & 2.56 & 2.58 & 2.59 & 3.12 & 3.06 \\ 3.17 & 3.18 & 3.18 & 3.12 & 1.31 & 1.64 & 3.00 \\ 3.21 & 3.18 & 3.18 & 3.17 & 1.70 & 1.36 & 2.95 & 1.32 \\ 2.38 & 2.31 & 2.42 & 1.94 & 2.85 & 2.81 & 2.56 & 2.91 & 2.97 \end{bmatrix}. \]
The parameters of the above are subject to \(0 \le u_1 \le 4\), \(-4 \le u_i \le 4\), \(i = 2, 3, \cdots, n\) where \(n = 17\). The global minima occurs at \(u_i^* = (0.651906, 1.30194, 0.099242, −0.883791, −0.8796, 0.204651, −3.28414, 0.851188, −3.46245, 2.53245, −0.895246, 1.40992, −3.07367, 1.96257, −2.97872, −0.807849, −1.68978)\), with a vaue of \(11.7464\).
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
