散文網(wǎng) » 科技 »學(xué)習(xí) » 智能優(yōu)化算法23個標(biāo)準(zhǔn)測試函數(shù)（Python）

智能優(yōu)化算法23個標(biāo)準(zhǔn)測試函數(shù)（Python）

2022-03-31 00:00 作者:吾所求 0人讀過 | 我要投稿

原文：

Evolutionary programming made faster?

IEEE Transactions on Evolutionary Computation?(?IF?11.554?)?Pub Date?:?1999-07-01?, DOI:?10.1109/4235.771163

單峰測試函數(shù)

F1：Sphere Function

$%0A%5Cbegin%7Baligned%7D%0Af_%7B1%7D(x)%3D%20%26%5Csum_%7Bi%3D1%7D%5E%7B30%7D%5Cleft(x_i%5Cright)%5E2%20%2C-100%20%5Cleq%20x_i%20%5Cleq%20100%5C%5C%0A%26%5Cquad%20%5Cmin%20%5Cleft(f_%7B1%7D%5Cright)%3Df_%7B1%7D(0%2C%20%5Cldots%2C%200)%3D0%0A%5Cend%7Baligned%7D%0A$

F2：Schwefel's Problem 2.22

F3：Schwefel's Problem 1.2

F4：Schwefel's Problem 2.21

F5：Generalized Rosenbrock's Function

F6：Step Function

F7：Quartic Function i.e. Noise

多峰測試函數(shù)

F8：Generalized Schwefel's Problem 2.26

F9：Generalized Rastrigin's Function

F10：Ackley's Function

F11：Generalized Griewank's Function

F12：Generalized Penalized Function 1

$%0A%5Cbegin%7Baligned%7D%0A%26%20u%5Cleft(x_i%2C%20a%2C%20k%2C%20m%5Cright)%3D%20%5Cbegin%7Bcases%7Dk%5Cleft(x_i-a%5Cright)%5Em%2C%20%26%20x_i%3Ea%2C%20%5C%5C%0A0%2C%20%26%20-a%20%5Cleq%20x_i%20%5Cleq%20a%2C%20%5C%5C%0Ak%5Cleft(-x_i-a%5Cright)%5Em%2C%20%26%20x_i%3C-a%20.%5Cend%7Bcases%7D%20%5C%5C%0A%5Cend%7Baligned%7D$

$%5Cbegin%7Baligned%7D%0Af_%7B12%7D(x)%3D%20%26%20%5Cfrac%7B%5Cpi%7D%7B30%7D%20%5Cleft%5C%7B10%20%5Csin%20%5E2%5Cleft(%5Cpi%20y_1%5Cright)%2B%20%5Csum_%7Bi%3D1%7D%5E%7B29%7D%5Cleft(y_i-1%5Cright)%5E2%20%5Ccdot%5Cleft%5B1%2B10%20%5Csin%20%5E2%5Cleft(%5Cpi%20y_%7Bi%2B1%7D%5Cright)%5Cright%5D%2B%5Cleft(y_n-1%5Cright)%5E2%5Cright%5C%7D%2B%5Csum_%7Bi%3D1%7D%5E%7B30%7D%20u%5Cleft(x_i%2C%2010%2C100%2C4%5Cright)%20%5C%5C%0A%26-50%20%5Cleq%20x_i%20%5Cleq%2050%2C%20%5Cquad%20%5Cmin%20%5Cleft(f_%7B12%7D%5Cright)%3Df_%7B12%7D(1%2C%20%5Cldots%2C%201)%3D0%5C%5C%0A%20%5Ctext%20%7B%20where%20%7D%20%5C%5C%0A%26y_i%3D1%2B%5Cfrac%7B1%7D%7B4%7D%5Cleft(x_i%2B1%5Cright)%20%5Ctext%20%7B.%20%7D%20%5C%5C%0A%5Cend%7Baligned%7D$

F13：Generalized Penalized Function 2

$%5Cbegin%7Baligned%7D%0A%26%20f_%7B13%7D(x)%3D0.1%5Cleft%5C%7B%5Csin%20%5E2%5Cleft(%5Cpi%203%20x_1%5Cright)%2B%5Csum_%7Bi%3D1%7D%5E%7B29%7D%5Cleft(x_i-1%5Cright)%5E2%5Cleft%5B1%2B%5Csin%20%5E2%5Ccdot%5Cleft(3%20%5Cpi%20x_%7Bi%2B1%7D%5Cright)%5Cright%5D%2B%5Cleft(x_n-1%5Cright)%5E2%5Cleft%5B1%2B%5Csin%20%5E2%5Cleft(2%20%5Cpi%20x_%7B30%7D%5Cright)%5Cright%5D%5Cright%5C%7D%2B%5Csum_%7Bi%3D1%7D%5E%7B30%7D%20u%5Cleft(x_i%2C%205%2C100%2C4%5Cright)%20%5C%5C%0A%26%20-50%20%5Cleq%20x_i%20%5Cleq%2050%2C%20%5Cquad%20%5Cmin%20%5Cleft(f_%7B13%7D%5Cright)%3Df_%7B13%7D(1%2C%20%5Cldots%2C%201)%3D0%20%5C%5C%0A%5Cend%7Baligned%7D$

固定維多峰測試函數(shù)

F14：Shekel's Foxholes Function

固定2維

F15：Kowalik's Function

固定4維

F16：Six-Hump Camel-Back Function

固定2維

F17：Branin Function

固定2維

F18：Goldstein-Price Function

固定2維

F19&F20：Hartman's Family

固定3維及6維

F21&F22&F23：Shekel's Family

固定4維

該代碼主要用于自用記錄，若有紕漏錯誤，是本人能力有限或是疏忽在此提前表達(dá)歉意，感謝批評指正。

參考來自知乎用戶valley的matlab程序（地址如下）

https://zhuanlan.zhihu.com/p/397505364

標(biāo)簽：python 智能優(yōu)化算法測試函數(shù)

智能優(yōu)化算法23個標(biāo)準(zhǔn)測試函數(shù)（Python）的評論 (共條)

愛情散文傷感散文哲理散文優(yōu)美生活隨筆親情唯美句子傷感的句子現(xiàn)代詩歌空間日志經(jīng)典語句愛情句子作文大全

国产精品天干天干,亚洲毛片在线,日韩gay小鲜肉啪啪18禁,女同Gay自慰喷水

智能優(yōu)化算法23個標(biāo)準(zhǔn)測試函數(shù)（Python）

智能優(yōu)化算法23個標(biāo)準(zhǔn)測試函數(shù)（Python）的評論 (共條)

你可能也喜歡這些文章

最新發(fā)布的文章

国产精品天干天干,亚洲毛片在线,日韩gay小鲜肉啪啪18禁,女同Gay自慰喷水

智能優(yōu)化算法23個標(biāo)準(zhǔn)測試函數(shù)（Python）

本文作者的其他文章

智能優(yōu)化算法23個標(biāo)準(zhǔn)測試函數(shù)（Python）的評論 (共 條)

你可能也喜歡這些文章

最新發(fā)布的文章

智能優(yōu)化算法23個標(biāo)準(zhǔn)測試函數(shù)（Python）的評論 (共條)