The Michalewicz function

The Michalewicz function is shown here:

Michalewicz function

Description

Dimensions: d
The Michalewicz function has d! local minima, and it is multimodal. The m parameter defines the steepness of the valleys and ridges; a larger m leads to a more difficult search. The recommended value of m is m = 10. The function's two-dimensional form is shown in the preceding plot.

Input domain

The function is usually evaluated on the xi ∈ [0, π] hypercube, for all i = 1, …, d.

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