最佳化常用測試函數 Optimization Test functions

http://www.sfu.ca/~ssurjano/optimization.html

 

The functions listed below are some of the common functions and datasets used for testing optimization algorithms. They are grouped according to similarities in their significant physical properties and shapes. Each page contains information about the corresponding function or dataset, as well as MATLAB and R implementations. 

Many Local Minima

1. Ackley Function
2. Bukin Function N. 6
3. Cross-in-Tray Function
4. Drop-Wave Function
5. Eggholder Function
6. Gramacy & Lee (2012) Function
7. Griewank Function
8. Holder Table Function
9. Langermann Function
10. Levy Function
11. Levy Function N. 13
12. Rastrigin Function
13. Schaffer Function N. 2
14. Schaffer Function N. 4
15. Schwefel Function
16. Shubert Function

Bowl-Shaped

1. Bohachevsky Functions
2. Perm Function 0, d, β
3. Rotated Hyper-Ellipsoid Function
4. Sphere Function
5. Sum of Different Powers Function
6. Sum Squares Function
7. Trid Function

Plate-Shaped

1. Booth Function
2. Matyas Function
3. McCormick Function
4. Power Sum Function
5. Zakharov Function

Valley-Shaped

1. Three-Hump Camel Function
2. Six-Hump Camel Function
3. Dixon-Price Function
4. Rosenbrock Function

Steep Ridges/Drops

1. De Jong Function N. 5
2. Easom Function
3. Michalewicz Function

Other

1. Beale Function
2. Branin Function
3. Colville Function
4. Forrester et al. (2008) Function
5. Goldstein-Price Function
6. Hartmann 3-D Function
7. Hartmann 4-D Function
8. Hartmann 6-D Function
9. Perm Function d, β
10. Powell Function
11. Shekel Function
12. Styblinski-Tang Function