Source code of convex function generator

Liu, W.; Yuen, S.Y.; Chung, K.W.; Sung, C.W. A General-Purpose Multi-Dimensional Convex Landscape Generator. Mathematics 2022, 10, 3974. https://doi.org/10.3390/math10213974

Source code

Function:

[fitness,landscape_structure] = convex_function_generator(dimension, points_number, input, lower_bound, upper_bound, plot_flag)

Introduction:

The function is to generate convex landscapes in multi-dimensions. With a given input, the function will return the output.

Input:

dimension: the dimension of the original convex hull

points_number: the number of points for initialization

input: the input of the function is a (dimension-1,1) matrix

lower_bound: the setting of the lower bound for the initial points

upper_bound: the setting of the upper bound for the initial points

plot_flag: when dimension = 2,3, the convex function landscape can be visualized when plot_flag = 1

Output:

fitness: the fitness value for the given input

landscape_structure: including the coordinates for the vertexes and the vertex indexes for each polygon

Example:

-- Command Window --

[fitness,landscape_structure] = convex_function_generator(3, 15, [1.2;1.5], -5, 5, 1);

An example of output text

An example of output figure