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Journal of Zhejiang University SCIENCE A 1998 Vol.-1 No.-1 P.

http://doi.org/10.1631/jzus.A2300340


Efficient reliability analysis via a nonlinear autoregressive multi-fidelity surrogate model and active learning


Author(s):  Yifan LI, Yongyong XIANG, Luojie SHI, Baisong PAN

Affiliation(s):  College of Mechanical Engineering, Zhejiang University of Technology, Hangzhou 310023, China

Corresponding email(s):   panbsz@zjut.edu.cn

Key Words:  Reliability analysis, Multi-fidelity surrogate model, Active learning, Nonlinearity, Residual model


Yifan LI, Yongyong XIANG, Luojie SHI, Baisong PAN. Efficient reliability analysis via a nonlinear autoregressive multi-fidelity surrogate model and active learning[J]. Journal of Zhejiang University Science A, 1998, -1(-1): .

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author="Yifan LI, Yongyong XIANG, Luojie SHI, Baisong PAN",
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Abstract: 
For complex engineering problems, multi-fidelity modeling has been used to achieve efficient reliability analysis by leveraging multiple information sources. However, most methods require nested training samples to capture the correlation between different fidelity data, which may lead to a significant increase of low-fidelity samples. In addition, it is difficult to build accurate surrogate models because current methods do not fully consider the nonlinearity between different fidelity samples. To address these problems, a novel multi-fidelity modeling method with active learning is proposed in this paper. Firstly, a nonlinear autoregressive multi-fidelity Kriging (NAMK) model is used to build a surrogate model. To avoid introducing redundant samples in the process of NAMK model updating, a collective learning function is then developed by a combination of a U-learning function, the correlation between different fidelity samples, and the sampling cost. Furthermore, a residual model is constructed to automatically generate low-fidelity samples when high-fidelity samples are selected. The efficiency and accuracy of the proposed method are demonstrated using three numerical examples and an engineering case.

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