scholarly journals An adaptive kriging method for solving nonlinear inverse statistical problems

2017 ◽  
Vol 28 (4) ◽  
pp. e2439 ◽  
Author(s):  
Shuai Fu ◽  
Mathieu Couplet ◽  
Nicolas Bousquet
2020 ◽  
Vol 45 (56) ◽  
pp. 31689-31705
Author(s):  
Yaohui Li ◽  
Junjun Shi ◽  
Jingfang Shen ◽  
Hui Cen ◽  
Yanpu Chao

Author(s):  
Xinpeng Wei ◽  
Jianxun Zhao ◽  
Xiaoming He ◽  
Zhen Hu ◽  
Xiaoping Du ◽  
...  

Abstract This paper presents an adaptive Kriging based method to perform uncertainty quantification (UQ) of the photoelectron sheath and dust levitation on the lunar surface. The objective of this study is to identify the upper and lower bounds of the electric potential and that of dust levitation height, given the intervals of model parameters in the one-dimensional (1D) photoelectron sheath model. To improve the calculation efficiency, we employ the widely used adaptive Kriging method (AKM). A task-oriented learning function and a stopping criterion are developed to train the Kriging model and customize the AKM. Experiment analysis shows that the proposed AKM is both accurate and efficient.


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