ACTIVE-LEARNING METHOD BASED ON ALK MODEL AND SUBSET SIMULATION

When estimating very small failure probability, the methods based on active learning Kriging (ALK) model usually need too many candidate points and time-consuming calculation. To address this problem, this paper proposes a two-stage surrogate model method, ALK-SS<sup>2</sup>, which combi...

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Main Authors: LIU ZeQing, CHENG Xin, YANG XuFeng
Format: Article
Language:zho
Published: Editorial Office of Journal of Mechanical Strength 2024-02-01
Series:Jixie qiangdu
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Online Access:http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2024.01.013
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author LIU ZeQing
CHENG Xin
YANG XuFeng
author_facet LIU ZeQing
CHENG Xin
YANG XuFeng
author_sort LIU ZeQing
collection DOAJ
description When estimating very small failure probability, the methods based on active learning Kriging (ALK) model usually need too many candidate points and time-consuming calculation. To address this problem, this paper proposes a two-stage surrogate model method, ALK-SS<sup>2</sup>, which combines the ALK model and subset simulation(SS). Firstly, based on the constructed surrogate model in the first stage, the method uses a small number of SS last layer samples as candidate samples to complete the rough approximation of the limit state surface, and then in the second stage, it selects the SS last layer samples witha larger sample size to refine the surrogate model in the first stage, so as to obtain higher accuracy. In addition, considering the conventional stopping criteria are too conservative. based on the failure probabilitv evaluated by ALK-SS<sup>2</sup>, a new stopping criterion based on failure probability error is proposed, which further improves the efficiency of the method. From the investigation of four examples and the comparison with relative methods, it is proved that the proposed method has high calculation accuracy and efficiency, and is suitable for dealing with small failure probability problems and time-consuming implicit function problems.
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spelling doaj-art-5f19014446c54215ba76fea80c6b96b72025-01-15T02:44:44ZzhoEditorial Office of Journal of Mechanical StrengthJixie qiangdu1001-96692024-02-01469610655273240ACTIVE-LEARNING METHOD BASED ON ALK MODEL AND SUBSET SIMULATIONLIU ZeQingCHENG XinYANG XuFengWhen estimating very small failure probability, the methods based on active learning Kriging (ALK) model usually need too many candidate points and time-consuming calculation. To address this problem, this paper proposes a two-stage surrogate model method, ALK-SS<sup>2</sup>, which combines the ALK model and subset simulation(SS). Firstly, based on the constructed surrogate model in the first stage, the method uses a small number of SS last layer samples as candidate samples to complete the rough approximation of the limit state surface, and then in the second stage, it selects the SS last layer samples witha larger sample size to refine the surrogate model in the first stage, so as to obtain higher accuracy. In addition, considering the conventional stopping criteria are too conservative. based on the failure probabilitv evaluated by ALK-SS<sup>2</sup>, a new stopping criterion based on failure probability error is proposed, which further improves the efficiency of the method. From the investigation of four examples and the comparison with relative methods, it is proved that the proposed method has high calculation accuracy and efficiency, and is suitable for dealing with small failure probability problems and time-consuming implicit function problems.http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2024.01.013Reliability analysisActive learningKriging modelSubset simulation
spellingShingle LIU ZeQing
CHENG Xin
YANG XuFeng
ACTIVE-LEARNING METHOD BASED ON ALK MODEL AND SUBSET SIMULATION
Jixie qiangdu
Reliability analysis
Active learning
Kriging model
Subset simulation
title ACTIVE-LEARNING METHOD BASED ON ALK MODEL AND SUBSET SIMULATION
title_full ACTIVE-LEARNING METHOD BASED ON ALK MODEL AND SUBSET SIMULATION
title_fullStr ACTIVE-LEARNING METHOD BASED ON ALK MODEL AND SUBSET SIMULATION
title_full_unstemmed ACTIVE-LEARNING METHOD BASED ON ALK MODEL AND SUBSET SIMULATION
title_short ACTIVE-LEARNING METHOD BASED ON ALK MODEL AND SUBSET SIMULATION
title_sort active learning method based on alk model and subset simulation
topic Reliability analysis
Active learning
Kriging model
Subset simulation
url http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2024.01.013
work_keys_str_mv AT liuzeqing activelearningmethodbasedonalkmodelandsubsetsimulation
AT chengxin activelearningmethodbasedonalkmodelandsubsetsimulation
AT yangxufeng activelearningmethodbasedonalkmodelandsubsetsimulation