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A multiwavelet support vector regression method for efficient reliability assessment

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  • Dai, Hongzhe
  • Zhang, Boyi
  • Wang, Wei

Abstract

As a new sparse kernel modeling technique, support vector regression has become a promising method in structural reliability analysis. However, in the standard quadratic programming support vector regression, its implementation is computationally expensive and sufficient model sparsity cannot be guaranteed. In order to mitigate these difficulties, this paper presents a new multiwavelet linear programming support vector regression method for reliability analysis. The method develops a novel multiwavelet kernel by constructing the autocorrelation function of multiwavelets and employs this kernel in context of linear programming support vector regression for approximating the limit states of structures. Three examples involving one finite element-based problem illustrate the effectiveness of the proposed method, which indicate that the new method is efficient than the classical support vector regression method for response surface function approximation.

Suggested Citation

  • Dai, Hongzhe & Zhang, Boyi & Wang, Wei, 2015. "A multiwavelet support vector regression method for efficient reliability assessment," Reliability Engineering and System Safety, Elsevier, vol. 136(C), pages 132-139.
    • Handle: RePEc:eee:reensy:v:136:y:2015:i:c:p:132-139
    DOI: 10.1016/j.ress.2014.12.002
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    References listed on IDEAS

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    1. Dai, Hongzhe & Zhang, Hao & Wang, Wei, 2012. "A support vector density-based importance sampling for reliability assessment," Reliability Engineering and System Safety, Elsevier, vol. 106(C), pages 86-93.
    2. Zia-ur-Rehman Gondal & Jongsoo Lee, 2012. "Reliability assessment using feed-forward neural network-based approximate meta-models," Journal of Risk and Reliability, , vol. 226(5), pages 448-454, October.
    3. Wu, Xuedong & Chang, Yanchao & Mao, Jianxu & Du, Zhaoping, 2013. "Predicting reliability and failures of engine systems by single multiplicative neuron model with iterated nonlinear filters," Reliability Engineering and System Safety, Elsevier, vol. 119(C), pages 244-250.
    4. Yu Liu & Hong-Zhong Huang & Dan Ling, 2013. "Reliability prediction for evolutionary product in the conceptual design phase using neural network-based fuzzy synthetic assessment," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(3), pages 545-555.
    5. Fink, Olga & Zio, Enrico & Weidmann, Ulrich, 2014. "Predicting component reliability and level of degradation with complex-valued neural networks," Reliability Engineering and System Safety, Elsevier, vol. 121(C), pages 198-206.
    6. Wei, Zhao & Tao, Tao & ZhuoShu, Ding & Zio, Enrico, 2013. "A dynamic particle filter-support vector regression method for reliability prediction," Reliability Engineering and System Safety, Elsevier, vol. 119(C), pages 109-116.
    7. Khatibinia, Mohsen & Javad Fadaee, Mohammad & Salajegheh, Javad & Salajegheh, Eysa, 2013. "Seismic reliability assessment of RC structures including soil–structure interaction using wavelet weighted least squares support vector machine," Reliability Engineering and System Safety, Elsevier, vol. 110(C), pages 22-33.
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    Cited by:

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    5. Gómez, M.J. & Castejón, C. & García-Prada, J.C., 2016. "Automatic condition monitoring system for crack detection in rotating machinery," Reliability Engineering and System Safety, Elsevier, vol. 152(C), pages 239-247.
    6. Cao Wang & Hao Zhang & Kairui Feng & Quanwang Li, 2017. "Assessing hurricane damage costs in the presence of vulnerability model uncertainty," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 85(3), pages 1621-1635, February.
    7. Wang, Cao & Zhang, Hao & Li, Quanwang, 2019. "Moment-based evaluation of structural reliability," Reliability Engineering and System Safety, Elsevier, vol. 181(C), pages 38-45.
    8. Roy, Atin & Chakraborty, Subrata, 2020. "Support vector regression based metamodel by sequential adaptive sampling for reliability analysis of structures," Reliability Engineering and System Safety, Elsevier, vol. 200(C).
    9. Li, Luxin & Chen, Guohai & Fang, Mingxuan & Yang, Dixiong, 2021. "Reliability analysis of structures with multimodal distributions based on direct probability integral method," Reliability Engineering and System Safety, Elsevier, vol. 215(C).
    10. Roy, Atin & Chakraborty, Subrata, 2023. "Support vector machine in structural reliability analysis: A review," Reliability Engineering and System Safety, Elsevier, vol. 233(C).
    11. Wang, Run-Zi & Gu, Hang-Hang & Zhu, Shun-Peng & Li, Kai-Shang & Wang, Ji & Wang, Xiao-Wei & Hideo, Miura & Zhang, Xian-Cheng & Tu, Shan-Tung, 2022. "A data-driven roadmap for creep-fatigue reliability assessment and its implementation in low-pressure turbine disk at elevated temperatures," Reliability Engineering and System Safety, Elsevier, vol. 225(C).
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