用贝叶斯优化提升空气动力学预测模型的精度与效率
Bayesian Optimization of a Lightweight and Accurate Neural Network for Aerodynamic Performance Prediction
- 用贝叶斯优化自动调参,构建轻量高精度神经网络
- 阻力系数预测MAPE降至0.0163%,较基线提升近10倍
- 适合航空航天多学科设计优化场景,计算资源少
在航空航天领域,高精度与高效预测模型至关重要,尤其在多学科设计优化(MDO)中需频繁评估复杂目标函数,计算成本高昂。本文提出一种新方法,利用贝叶斯优化(BO)优化轻量级高精度神经网络(NN)的超参数,用于空气动力学性能预测。在BO中引入分层与类别型核函数,以捕捉设计变量间的复杂关系。通过两个案例验证,优化后的模型显著优于基线模型及其他公开可用的神经网络。在阻力系数预测任务中,平均绝对百分比误差(MAPE)从0.1433%降至0.0163%,接近一个数量级的提升。在基准飞机自噪声预测问题上,模型达到0.82%的MAPE,远优于现有模型(约2%~3%),且所需计算资源更少。结果表明该框架可有效提升神经网络在大规模MDO中的可扩展性与性能,为航空航天领域提供可行解决方案。
原文摘要 · Abstract (English)
Ensuring high accuracy and efficiency of predictive models is paramount in the aerospace industry, particularly in the context of multidisciplinary design and optimization processes. These processes often require numerous evaluations of complex objective functions, which can be computationally expensive and time-consuming. To build efficient and accurate predictive models, we propose a new approach that leverages Bayesian Optimization (BO) to optimize the hyper-parameters of a lightweight and accurate Neural Network (NN) for aerodynamic performance prediction. To clearly describe the interplay between design variables, hierarchical and categorical kernels are used in the BO formulation. We demonstrate the efficiency of our approach through two comprehensive case studies, where the optimized NN significantly outperforms baseline models and other publicly available NNs in terms of accuracy and parameter efficiency. For the drag coefficient prediction task, the Mean Absolute Percentage Error (MAPE) of our optimized model drops from 0.1433\% to 0.0163\%, which is nearly an order of magnitude improvement over the baseline model. Additionally, our model achieves a MAPE of 0.82\% on a benchmark aircraft self-noise prediction problem, significantly outperforming existing models (where their MAPE values are around 2 to 3\%) while requiring less computational resources. The results highlight the potential of our framework to enhance the scalability and performance of NNs in large-scale MDO problems, offering a promising solution for the aerospace industry.
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