High dimensional expression of combined approximation model
by Weiping Li; Bei Gu; Nianzhou Ji; Zhifeng Chen
International Journal of Vehicle Design (IJVD), Vol. 79, No. 1, 2019

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.

Online publication date: Sun, 11-Aug-2019

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