#include <rastrigin_function.hpp>
Public Member Functions | |
| rastrigin_function (const arma::uword dimension) | |
| double | evaluate (const arma::vec &agent) const override |
 Public Member Functions inherited from pass::problem | |
| arma::vec | bounds_range () const noexcept |
| arma::uword | dimension () const noexcept |
| problem (const arma::uword dimension, const double lower_bound, const double upper_bound, const std::string &name) | |
| problem (const arma::vec &lower_bounds, const arma::vec &upper_bounds, const std::string &name) | |
| double | evaluate_normalised (const arma::vec &normalised_agent) const |
| arma::mat | normalised_random_agents (const arma::uword count) const |
| arma::mat | normalised_hammersley_agents (const arma::uword count) const |
| arma::mat | initialise_normalised_agents (const arma::uword count) const |
Additional Inherited Members | |
| Public Attributes inherited from pass::problem | |
| const arma::vec | lower_bounds |
| const arma::vec | upper_bounds |
| const std::string | name |
Detailed Description
Rastrigin's function is based on the function of De Jong with the addition of cosine modulation to produce many local minima. Thus, the test function is highly multimodal. However, the location of the minima are regularly distributed. It is named after L. A. Rastrigin and was first published 1974 in "Systems of Extremal Control" as 2-dimensional problem and 1991 generalised for n dimensions by H. Mühlenbein, D. Schomisch and J. Born in "The Parallel Genetic Algorithm as Function Optimiser. Parallel Computing".
Its optimal parameter = (0, ..., 0) and optimal function value = 0.
\[ f(x_1 \cdots x_n) = 10n + \sum_{i=1}^n (x_i^2 -10cos(2\pi x_i)) \]
\[ -5.12 \leq x_i \leq 5.12 \]
\[ \text{minimum at }f(0, \cdots, 0) = 0 \]
Constructor & Destructor Documentation
◆ rastrigin_function()
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explicit |
Initialises a rastrigin function with dimension dimensions, lower bounds of -5.12 and upper bounds of 5.12.
Member Function Documentation
◆ evaluate()
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overridevirtual |
Evaluates this problem at agent, which must match the dimensions of this problem.
Implements pass::problem.
The documentation for this class was generated from the following files:
- /Users/romeo/Desktop/PASS/include/pass_bits/problem/optimisation_benchmark/rastrigin_function.hpp
- /Users/romeo/Desktop/PASS/src/problem/optimisation_benchmark/rastrigin_function.cpp