Ackley function
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In mathematical optimization, the Ackley function is a non-convex function used as a performance test problem for optimization algorithms. It was proposed by David Ackley in his 1987 PhD dissertation.[1] The function is commonly used as a minimization function with global minimum value 0 at 0,.., 0 in the form due to Thomas Bäck. While Ackley gives the function as an example of "fine-textured broadly unimodal space" his thesis does not actually use the function as a test.
For dimensions, is defined as[2]
Recommended variable values are , , and .
The global minimum is at .
See also
[edit]Notes
[edit]- ^ Ackley, D. H. (1987) "A connectionist machine for genetic hillclimbing", Kluwer Academic Publishers, Boston MA. p. 13-14
- ^ Bingham, Derek (2013). "Ackley Function". Virtual Library of Simulation Experiments: Test Functions and Datasets. Simon Fraser University. Retrieved December 22, 2024.