标准测试函数相关详细介绍请参考测试函数集:http://www.sfu.ca/~ssurjano/index.html。
目录
1、优化测试问题【Optimization Test Problems】
1)许多局部极小值 【Many Local Minima】
2)碗状【Bowl-Shaped】
3)板状【Plate-Shaped】
4)山谷状【Valley-Shaped】
5)陡峭的山脊/瀑布 【Steep Ridges/Drops】
6)其他【Other】
2、仿真/预测测试问题【Emulation/Prediction Test Problems】
1) Physical Models
2) Qualitative and Quantitative Inputs
3) Trigonometric
4) Exponential/Logarithmic
5) Rational
6) Other
3、不确定度量化测试问题【Uncertainty Quantification Test Problems】
1)Physical Models
2)Other
4、多保真仿真测试问题【Multi Fidelity Simulation Test Problems】
1) Physical Models
2) Other
5、校准/调谐测试问题【Calibration/Tuning Test Problems】
1)Physical Models
2)Other
6、筛选测试问题【Screening Test Problems】
1)Physical Models
2)Strong Interactions
3)High Dimensionality
4)Qualitative and Quantitative Inputs
5)Product Integrand Functions
6)Other
7、集成测试问题【Integration Test Problems】
1)Genz (1984) Integrand Families
2)Product Functions
3)Other
8、功能数据测试问题【Functional Data Test Problems】
1)Physical Models
9、其他测试功能及代码【Other Test Functions and Code】
1) Computer Codes & Datasets
2) Optimization Test Functions
10.单目标优化标准测试函数
11.常见多目标测试函数
1)ZDT1
2)ZDT2
3)ZDT3
4)ZDT4
12.高维多目标进化领域测试函数
1)DTLZ测试函数
2)收敛性评价指标IGD
3)覆盖率指标C
测试函数一般分类大概分为以下9个大类
1.阿克力函数【Ackley Function】
2.bukin函数【Bukin Function N. 6】
3.交叉进纸盘函数 【Cross-in-Tray Function】
6.Gramacy&Lee(2012)函数【Gramacy & Lee (2012) Function】
8.支架台函数【Holder Table Function】
11.征费函数13【Levy Function N. 13】
12.rastrigin函数【Rastrigin Function】
13.Schaffer函数n.2【Schaffer Function N. 2】
14.Schaffer函数n.4【Schaffer Function N. 4】
15.Schwefel函数【 Schwefel Function】
17.Bohachevsky Functions
18.Perm Function 0, d, β
19.Rotated Hyper-Ellipsoid Function
20.Sphere Function
21.Sum of Different Powers Function
22.Sum Squares Function
23.Trid Function
24.Booth Function
25.Matyas Function
26.McCormick Function
27.Power Sum Function
28.Zakharov Function
29.Three-Hump Camel Function
30.Six-Hump Camel Function
31.Dixon-Price Function
32.Rosenbrock Function
33.De Jong Function N. 5
34.Easom Function
35.Michalewicz Function
36.Beale Function
37.Branin Function
38.Colville Function
39.Forrester et al. (2008) Function
40.Goldstein-Price Function
41.Hartmann 3-D Function
42.Hartmann 4-D Function
43.Hartmann 6-D Function
44.Perm Function d, β
45.Powell Function
46.Shekel Function
47.Styblinski-Tang Function
Borehole Function
MARTHE Dataset
OTL Circuit Function
Piston Simulation Function
Robot Arm Function
Wing Weight Function
Argonne's Software for Applications (contains several models):
http://www.mcs.anl.gov/software/science-engineering-applications-software
Benchmark Proposals of GdR MASCOT-NUM:
http://www.gdr-mascotnum.fr/benchmarks.html
FOAM: The Fast Ocean Atmosphere Model:
http://www.mcs.anl.gov/research/projects/foam/index.html
OOMMF/NIST Software:
http://math.nist.gov/oommf/software.html
TESTPACK, for Testing Multidimensional Integration Routines:
http://people.sc.fsu.edu/~jburkardt/m_src/testpack/testpack.html
Adorio, E. P., & Diliman, U. P. MVF - Multivariate Test Functions Library in C for Unconstrained Global Optimization (2005):
http://www.geocities.ws/eadorio/mvf.pdf
Global Optimization Test Functions Index:
http://infinity77.net/global_optimization/test_functions.html#test-functions-index
Global Optimization Test Problems:
http://www-optima.amp.i.kyoto-u.ac.jp/member/student/hedar/Hedar_files/TestGO.htm
Laguna, M., & Marti, R. Experimental Testing of Advanced Scatter Search Designs for Global Optimization of Multimodal Functions (2002):
http://www.uv.es/rmarti/paper/docs/global1.pdf
Molga, M., & Smutnicki, C. Test Functions for Optimization Needs (2005):
http://www.zsd.ict.pwr.wroc.pl/files/docs/functions.pdf
DTLZ1 ~~~~~~DTLZ7
本文在罗列测试函数的相关介绍基础上,增加展示了部分测试函数的图像展示以及高维多目标评价相关知识,基于测试函数收集总站的基础上,又统计了其他相关博主jj_千寻的相关内容,做一个相对全面总结统计,以备使用相关知识时更加方便。