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Rastrigin function : ウィキペディア英語版
Rastrigin function

In mathematical optimization, the Rastrigin function is a non-convex function used as a performance test problem for optimization algorithms. It is a typical example of non-linear multimodal function. It was first proposed by Rastrigin 〔Rastrigin, L. A. "Systems of extremal control." (1974).〕 as a 2-dimensional function and has been generalized by Mühlenbein et al.〔H. Mühlenbein, D. Schomisch and J. Born. "The Parallel Genetic Algorithm as Function Optimizer ". Parallel Computing, 17, pages 619–632, 1991.〕 Finding the minimum of this function is a fairly difficult problem due to its large search space and its large number of local minima.
It is defined by:
: f(\mathbf) = A n + \sum_^n \left(- A\cos(2 \pi x_i)\right )
where A=10 and x_i\in() . It has a global minimum at \mathbf = \mathbf where f(\mathbf)=0.
== See also ==

*Test functions for optimization

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