Function used as a performance test problem for optimization algorithms
Ackley function of two variables
Contour surfaces of Ackley's function in 3D
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.
On a 2-dimensional domain it is defined by:
[2]
Its global optimum point is
^Ackley, D. H. (1987) "A connectionist machine for genetic hillclimbing", Kluwer Academic Publishers, Boston MA. p. 13-14
^Bäck, Thomas (1996-02-15). "Artificial Landscapes". Evolutionary Algorithms in Theory and Practice. Oxford University Press. p. 142. doi:10.1093/oso/9780195099713.003.0008. ISBN 978-0-19-509971-3.
optimization, the Ackleyfunction is a non-convex function used as a performance test problem for optimization algorithms. It was proposed by David Ackley in his...
In applied mathematics, test functions, known as artificial landscapes, are useful to evaluate characteristics of optimization algorithms, such as: Convergence...
optimal solution is ever found. DE is used for multidimensional real-valued functions but does not use the gradient of the problem being optimized, which means...
Jonathan Ackley is an American interactive theme park attraction and computer game designer, writer, and programmer. He is best known for being the Creative...
Mason Bridges (Horton) turns down an opportunity to play with friends Tom Ackley (Lummis), Whitman (Britton), and the porter (Watkin), among others. When...
1792–1796, Bibcode:1975PhRvL..35.1792S, doi:10.1103/PhysRevLett.35.1792 Ackley, David H.; Hinton, Geoffrey E.; Sejnowski, Terrence J. (1985). "A Learning...
Vincent J.M. (1998). Gunshot Wounds. CRC Press. ISBN 978-0-8493-8163-8. Ackley, P.O. (1962). Handbook for Shooters & Reloaders. Vol. I. Plaza Publishing...
on 7 January 2023. Retrieved 7 January 2023. Liu KY, Villain N, Ayton S, Ackley SF, Planche V, Howard R, et al. (2 May 2023). "Key questions for the evaluation...
Springer. pp. 119–33. doi:10.1007/978-1-4614-7672-6_7. ISBN 978-1-4614-7671-9. Ackley B, Ladwig GB, Kelley H (2010). Nursing diagnosis handbook: an evidence-based...
this function, he co-designed Walt Disney World's Sorcerers of the Magic Kingdom with his former Curse of Monkey Island co-lead, Jonathan Ackley, in 2012...
LCCI | About - LCCI". www.londonchamber.co.uk. Retrieved 20 June 2024. Ackley, Kate (23 January 2023). "US Chamber of Commerce dips to second place in...
general-equilibrium and value theory. The compensated demand function is named the Hicksian demand function in memory of him. In 1972 he received the Nobel Memorial...
Harrison BL, Beresis RT, Bai Z, Blanco MJ, Belfort GM, Dai J, Loya CM, Ackley MA, Althaus AL, Grossman SJ, Hoffmann E, Doherty JJ, Robichaud AJ (2017)...
edition, P. 389-401). Kolcaba, K. (2010, 2012. 2015.) Impaired Comfort. In B. Ackley & G. Ladwig (Eds.). Nursing Diagnosis Handbook: An evidence-based guide...
No ISBN Leonard Dr Buhr, Golden Lampstands of Northern Iowa, Ackley Publishing Co., Ackley, IA., 1985. 121 pages. No ISBN. William Williams, Rabbi, Where...
2015.01.086. PMID 25623737. Archived from the original on 20 April 2014. Ackley, Betty (2010). Nursing diagnosis handbook : an evidence-based guide to planning...
Global Information
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