Gaussian Processes with Derivatives (GPD) model has been widely used as a surrogate model in engineering to mitigate computational costs. However, most existing GPD models do not consider multi-fidelity derivatives and the relationship between high-fidelity (HF) and low-fidelity (LF) models. In this paper, we propose a novel GPD model called multi-fidelity Gaussian processes with derivatives (MFGPD), in which the posterior mean of the LF GPD replaces the prior mean of the HF GPD. The relationship between the HF and LF models is depicted by an unknown function. To demonstrate the performance of MFGPD, we provide two analytical examples and an aerodynamic coefficient modeling case, as well as comparisons to two other surrogate models. Results show that MFGPD outperforms the other models in both global and local prediction, indicating great potential for engineering applications.
Multi-fidelity Gaussian Processes with Derivatives for Aerodynamic Data Fusion
2023-07-18
887647 byte
Conference paper
Electronic Resource
English
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