Talk:Test functions for optimization

The printable version is no longer supported and may have rendering errors. Please update your browser bookmarks and please use the default browser print function instead.

Kursawe functions

The formula given differs from the cited reference[20]. Function 2 should have the term sin^3(x) or (sin(x))^3 instead of sin(x^3). Please correct it.

Townsend constraints

The reference says to constrain inside the curve defined by:

t = chebfun('t',[0,2*pi]);
x = 2*sin(t); y = 2*cos(t)-(1/2)*cos(2*t)-(1/4)*cos(3*t)-(1/8)*cos(4*t);

If you plug in t = 1, you get a point at (1.68, 1.62). Wikipedia's version says:

t = Atan2(y/x)

If you plug in x = 1.68, y = 1.62, you get t = 0.766, which does not match the original t. So I think this is incorrect. — Omegatron (talk) 05:00, 7 September 2017 (UTC)[reply]

The plot provided is for the constrains as stated. I added the note "(modified)" after the function name, and removed the "dubious" flag. Pasimi (talk) 23:32, 9 December 2017 (UTC)[reply]

The quadrant resolved atan2(arg1,arg2) function is ambiguous in terms of the order (e.g. is it FORTRAN-like or Excel)?
Consider resolving by ''t'' = Atan2(arg1,arg2) by explicitly stating the underlying ratios.

Test problems in R

Continuous Global Optimization in R https://www.jstatsoft.org/article/view/v060i06 Katharine M. Mullen 2014

Includes: Ackley’s problem Aluffi-Pentini’s problem Becker and Lago problem Bohachevsky 1 problem Bohachevsky 2 problem Branin problem Camel back three hump problem Camel back six hump problem Cosine mixture problem Cosine mixture problem, n = 4 Dekkers and Aarts problem Easom problem Epistatic Michalewicz problem Exponential problem Goldstein and Price problem Griewank problem Gulf research problem Hartman 3 problem Hartman 6 problem Hosaki problem Kowalik problem Levy and Montalvo 1 problem Levy and Montalvo 2 problem Levy and Montalvo 2 problem, n = 10 McCormick problem Meyer and Roth problem Miele and Cantrell problem Modified Langerman problem Modified Rosenbrock problem Multi-Gaussian problem Neumaier 2 problem Neumaier 3 problem Paviani’s problem Periodic problem Powell’s quadratic problem Price’s transistor modelling problem Rastrigin problem Rosenbrock problem Salomon problem Schaffer 1 problem Schaffer 2 problem Shubert problem Schwefel problem Shekel 5 problem Shekel 7 problem Shekel 10 problem Shekel’s foxholes problem Shekel’s foxholes problem, n = 10 Wood’s problem Sinusoidal problem Sinusoidal problem, n = 20

Package: https://cran.r-project.org/web/packages/globalOptTests/index.html — Preceding unsigned comment added by 66.35.36.132 (talk) 00:07, 26 July 2020 (UTC)[reply]

Traceability

I recommend that this Wiki page lists only test functions if they are cited with the seminal source, which should be a permanently accessible reference, e.g. journal paper or Zenodo. A good example is H.H. Rosenbrock "An automatic method for finding the greatest or least value of a function" The Computer J. 1960. This will enable double-checking. For example function 'Booth' has no cited source, and is thus eligible to be removed. — Preceding unsigned comment added by Peter.schild (talk • contribs) 16:55, 5 September 2022 (UTC)[reply]

Broken link

Deb K. (2011) Software for multi-objective NSGA-II code in C. Available at URL: https://www.iitk.ac.in/kangal/codes.shtml Dbague (talk) 00:41, 26 July 2024 (UTC)[reply]

Large Deletion

MrOllie Before making large deletions that have been in place for decades, please consider proposing the changes on the article's talk page. — Preceding unsigned comment added by 128.46.161.197 (talk) 22:10, 18 February 2025 (UTC)[reply]

They weren't in place for decades, and they were added by someone who was evading a block. We can do without their selfpromotional spam. MrOllie (talk) 22:43, 24 February 2025 (UTC)[reply]