Two-Dimensional (2D) Test Functions for Function Optimization

Function optimization is a field of study that seeks an input to a function that results in the maximum or minimum output of the function.

There are a large number of optimization algorithms and it is important to study and develop intuitions for optimization algorithms on simple and easy-to-visualize test functions.

Two-dimensional functions take two input values (x and y) and output a single evaluation of the input. They are among the simplest types of test functions to use when studying function optimization. The benefit of two-dimensional functions is that they can be visualized as a contour plot or surface plot that shows the topography of the problem domain with the optima and samples of the domain marked with

 

 

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