自适应建模策略辅助的昂贵多目标进化算法Adaptive Modeling Strategy Assisted Multi-objective Evolutionary Algorithm
张国晨,樊凯翔,王浩,秦淑芬,孙超利
摘要(Abstract):
代理模型辅助的多目标进化算法广泛用于解决计算费时的多目标优化问题,然而现有的大部分建模方法都是为了嵌入到特定算法而设计的,适应于其他算法的能力并不强,为了能够依据数据特征自适应的建立模型,提出了一种基于自适应模型选择的建模方法。该方法的主要思想为:依据每个目标函数的样本特征,自适应的选择样本建立全局模型或者局部模型。为了验证所提出建模的方法的有效性,将提出的建模方法应用于基于高斯过程辅助的双存档费时多目标优化算法(KAT2)和基于高斯过程辅助的参考向量引导的费时多目标优化算法(K-RVEA),并且在DTLZ测试函数进行测试。通过实验证明,提出的建模方法可以有效的解决费时多目标优化问题。
关键词(KeyWords): 模型辅助的进化算法;多目标优化;克里金模型;自适应
基金项目(Foundation): 国家自然科学基金(61876123);; 山西省自然科学基金(201901D111264)
作者(Author): 张国晨,樊凯翔,王浩,秦淑芬,孙超利
参考文献(References):
- [1] CORNE D W,KNOWLES J D,OATES M J.The Pareto envelope-based selection algorithm for multiobjective optimization[C]//International conference on parallel problem solving from nature,Springer,Berlin,Heidelberg,2000:839-848.
- [2] DEB K,SUNDAR J.Reference point based multi-objective optimization using evolutionary algorithms[C]//Proceedings of th-e 8th annual conference on Genetic and evolutionary computation,2006:635-642.
- [3] 栗三一,王延峰,乔俊飞,等.一种基于区域局部搜索的NSGAII算法[J].自动化学报,2020,46(12):2617-2627.
- [4] ZITZLER E,LAUMANNS M,THIELE L.SPEA2:Improving the performance of the strength pareto evolutionary algorithm[J].Tec-hnical Report Gloriastrasse,2001,3242(4):742-751.
- [5] ZHANG Q,LI H.MOEA/D:A multiobjective evolutionary algorithm based on decomposition[J].IEEE Transactions on e-volutionary computation,2007,11(6):712-731.
- [6] LI K,ZHANG Q,KWONG S,et al.Stable matching-based selection in evolutionary multi-objective optimization[J].IEEE Transactions on Evolutionary Computation,2013,18(6):909-923.
- [7] ARCURI A,LEHRE P K,YAO X.Theoretical runtime analyses of search algorithms on the test data generation for the[J].Transactions of the Institute of Measurement and Control,2012,34(6):668-676.
- [8] GEE S B,TAN K C,SHIM V A,et al.Online diversity assessment in evolutionary multiobjective optimization:A geo-metrical perspective[J].IEEE Transactions on Evolutionary Computation,2014,19(4):542-559.
- [9] LIU H L,GU F,ZHANG Q.Decomposition of a multiobjective optimization problem into a number of simple multiobje-ctive subproblems[J].IEEE transactions on evolutionary computation,2013,18(3):450-455.
- [10] BADER J,ZITZLER E.HypE:An algorithm for fast hypervolume-based many-objective optimization[J].Evolutionary comp-utation,2011,19(1):45-76.
- [11] ZHOU Z,ONG Y S,NAIR P B,et al.Combining global and local surrogate models to accelerate evolutionary optimizati-on[J].IEEE Transactions on Systems,Man,and Cybernetics,Part C (Applications and Reviews),2006,37(1):66-76.
- [12] CHANG J,KIM J,ZHANG B T,et al.Data-driven experimental design and model development using Gaussian process w-ith active learning[J].Cognitive Psychology,2021,125:101360.
- [13] CHUGH T,JIN Y,MIETTINEN K,et al.A surrogate-assisted reference vector guided evolutionary algorithm for computatio-nally expensive many-objective optimization[J].IEEE Transactions on Evolutionary Computation,2016,22(1):129-142.
- [14] SONG Z,WANG H,HE C,et al.A Kriging-assisted two-archive evolutionary algorithm for expensive many-objective opt-imization[J].IEEE Transactions on Evolutionary Computation,2021,25(6):1013-1027.
- [15] DEB K,THIELE L,LAUMANNS M,et al.Scalable mult-objective optimization test problems[C]//Proceedings of the 2002 Congress on Evolutionary Computation.CEC'02 (Cat.No.02TH8600),IEEE,2002,1:825-830.
- [16] HABIB A,SINGH H K,CHUGH T,et al.A multiple surrogate assisted decomposition-based evolutionary algorithm for ex-pensive multi/many-objective optimization[J].IEEE Transactions on Evolutionary Computation,2019,23(6):1000-1014.
- [17] TIAN Y,CHENG R,ZHANG X,et al.PlatEMO:A MATLAB platform for evolutionary multi-objective optimization[educ-ational forum][J].IEEE Computational Intelligence Magazine,2017,12(4):73-87.