Title: High dimensional expression of combined approximation model

Authors: Weiping Li; Bei Gu; Nianzhou Ji; Zhifeng Chen

Addresses: State Key Laboratory of Advance Design and Manufacturing for Vehicle Body, Hunan University, Hunan, 410082, China ' State Key Laboratory of Advance Design and Manufacturing for Vehicle Body, Hunan University, Hunan, 410082, China ' State Key Laboratory of Advance Design and Manufacturing for Vehicle Body, Hunan University, Hunan, 410082, China ' State Key Laboratory of Advance Design and Manufacturing for Vehicle Body, Hunan University, Hunan, 410082, China

Abstract: In this paper, a new high dimensional model representation (HDMR), combined TPS, SVR and Kriging (TSK) by weighted combination method based on generalised mean square error (GMSE) is proposed called TSK-HDMR. The TSK-HDMR not only takes advantage of robustness of combined approximation model but also reveals the correlation relationships among input variables. The model and the algorithm fundamentally change the exponentially growing computation cost to be polynomial. Numerical examples are given to verify the robustness and modelling efficiency of the modelling method. Compared with the classical high-dimension model techniques, in the application of the modelling of air resistance characteristic of the car, the efficiency and accuracy are improved.

Keywords: GMSE; generalised mean square error; combined approximation model; robustness; air resistance characteristic of car.

DOI: 10.1504/IJVD.2019.101516

International Journal of Vehicle Design, 2019 Vol.79 No.1, pp.1 - 17

Accepted: 22 Feb 2019
Published online: 11 Aug 2019 *

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