One-Dimensional (1D) 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.

One-dimensional functions take a single input value and output a single evaluation of the input. They may be the simplest type of test function to use when studying function optimization.

The benefit of one-dimensional functions is that they can be visualized as a two-dimensional plot with inputs to the function on the x-axis and outputs of the function on the y-axis. The known optima of the function and

 

 

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