贝叶斯概率
分段
数学
算法
计算机科学
数学优化
应用数学
人工智能
数学分析
作者
Zhenghao Ding,Sin‐Chi Kuok,Yongzhi Lei,Yang Yu,Guangcai Zhang,Shuling Hu,Ka‐Veng Yuen
标识
DOI:10.1142/s0219455425501019
摘要
In this study, a novel Bayesian empowered piecewise multi-objective function is developed, in which a traditional objective function is applied to realize the rough optimization in the first stage to determine the approximate results. Then, a sparse Bayesian learning-based objective function is applied to realize refined optimization with the obtained approximate results in the second stage. On the other hand, considering the sparsity of the structural damage identification, two simple but effective calculation frameworks, the colony initial sparsification and elite clustering framework, are integrated into the evolution, making the algorithm adaptable to handle the defined sparse optimization problem. Therefore, the proposed calculation framework is more efficient and robust while no initial conditions are needed. We will carry out a numerical example on a truss and an experimental validation on a fixed-end beam with a single-sensor measurement system to verify the method.
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