基于自编码器迁移学习的双保真数据融合

Bi-fidelity data fusion based on autoencoder transfer learning

  • 摘要: 高保真流动数据获取成本高昂,采样规模随参数空间维度的扩展大幅增长,使得全参数域高保真模拟在实际工程中难以实施。本文提出一种基于自编码器(autoencoder, AE)的双保真迁移学习框架,在高维参数空间下,通过少量高保真样本完成跨保真度融合。该方法首先在给定的高维参数空间内获取丰富的低保真流场数据预训练AE,将参数化流场压缩至紧凑潜在空间。随后对潜在空间参数矩阵执行列选主元QR分解,优选出最具代表性的少量参数点获取高保真模拟结果。最后冻结编码器,以少量高保真流场微调解码器,建立低保真到高保真的跨保真度映射。以直升机悬停下洗流场数据集为例进行验证,仅使用占总工况数17.4%的高保真样本进行数据融合,重构流场平均相对误差为8.25%,平均误差降低率为45.84%。该研究为高维参数空间流场的低成本高精度建模提供一种有效途径。

     

    Abstract: High-fidelity flow data are expensive to acquire, and the required sampling scale increases rapidly with the dimensionality of the parameter space, making full-domain high-fidelity simulations impractical for engineering applications. A bi-fidelity transfer learning framework based on an autoencoder (AE) was proposed to achieve cross-fidelity data fusion using only a limited number of high-fidelity samples in high-dimensional parameter spaces. First, abundant low-fidelity flow-field data were collected within the parameter space of interest to pretrain the AE, compressing parameterized flow fields into a compact latent space. Subsequently, rank-revealing QR decomposition was performed on the latent representation matrix to identify the most representative parameter points, at which high-fidelity simulation data were obtained. Finally, the encoder was frozen and the decoder was fine-tuned using a small number of high-fidelity flow fields to establish a cross-fidelity mapping from low-fidelity to high-fidelity data. The proposed framework was validated using a helicopter hover downwash flow-field dataset. By utilizing high-fidelity samples corresponding to only 17.4% of the total operating conditions, the reconstructed flow fields achieve an average relative error of 8.25% and an average error reduction rate of 45.84%. The proposed approach provides an effective solution for low-cost and high-accuracy modeling of flow fields in high-dimensional parameter spaces.

     

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