TY - JOUR
T1 - A Three-Level Radial Basis Function Method for Expensive Optimization
AU - Li, Genghui
AU - Zhang, Qingfu
AU - Lin, Qiuzhen
AU - Gao, Weifeng
PY - 2022/7
Y1 - 2022/7
N2 - This article proposes a three-level radial basis function (TLRBF)-assisted optimization algorithm for expensive optimization. It consists of three search procedures at each iteration: 1) the global exploration search is to find a solution by optimizing a global RBF approximation function subject to a distance constraint in the whole search space; 2) the subregion search is to generate a solution by minimizing an RBF approximation function in a subregion determined by fuzzy clustering; and 3) the local exploitation search is to generate a solution by solving a local RBF approximation model in the neighborhood of the current best solution. Compared with some other state-of-the-art algorithms on five commonly used scalable benchmark problems, ten CEC2015 computationally expensive problems, and a real-world airfoil design optimization problem, our proposed algorithm performs well for expensive optimization.
AB - This article proposes a three-level radial basis function (TLRBF)-assisted optimization algorithm for expensive optimization. It consists of three search procedures at each iteration: 1) the global exploration search is to find a solution by optimizing a global RBF approximation function subject to a distance constraint in the whole search space; 2) the subregion search is to generate a solution by minimizing an RBF approximation function in a subregion determined by fuzzy clustering; and 3) the local exploitation search is to generate a solution by solving a local RBF approximation model in the neighborhood of the current best solution. Compared with some other state-of-the-art algorithms on five commonly used scalable benchmark problems, ten CEC2015 computationally expensive problems, and a real-world airfoil design optimization problem, our proposed algorithm performs well for expensive optimization.
KW - Computational modeling
KW - Data models
KW - Databases
KW - Expensive optimization
KW - exploration and exploitation
KW - Mathematical model
KW - Optimization
KW - Predictive models
KW - radial basis function model (RBF).
KW - Search problems
UR - http://www.scopus.com/inward/record.url?scp=85103289087&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-85103289087&origin=recordpage
U2 - 10.1109/TCYB.2021.3061420
DO - 10.1109/TCYB.2021.3061420
M3 - 21_Publication in refereed journal
VL - 52
SP - 5720
EP - 5731
JO - IEEE Transactions on Cybernetics
JF - IEEE Transactions on Cybernetics
SN - 2168-2267
IS - 7
ER -