用物理约束提升等离子体重建精度,加速核聚变研究
Physics-Informed Deep Learning Model for Line-integral Diagnostics Across Fusion Devices
- 引入物理先验信息,通过乘法融合与线积分损失函数增强模型
- 合成与实验数据上平均相对误差分别降低0.84×10⁻²和0.06×10⁻²
- 适用于多种网络结构,适合等离子体诊断与融合仿真研究者
快速重构核聚变中二维等离子体剖面对于线积分测量至关重要。本文提出一种名为Onion的物理信息深度学习架构,可增强模型性能并适配多种骨干网络。该模型通过乘法过程引入物理信息,并依据线积分原理设计物理信息损失函数。结果表明,加入物理信息使模型预测能力提升,在合成数据集上平均相对误差E₁降低约0.84×10⁻²,在实验数据集上降低约0.06×10⁻²。此外,最终两层全连接层采用Softplus激活函数进一步改善性能,合成数据上误差减少约1.06×10⁻²,实验数据上减少约0.11×10⁻²。物理信息损失函数有效修正预测结果,使反投影更接近真实输入,降低反演算法误差。研究还构建了定制化线积分诊断数据生成模型,并收集了EAST与HL-2A的软X射线诊断数据。本工作显著降低重建误差,推动融合领域代理模型的发展。
原文摘要 · Abstract (English)
Rapid reconstruction of 2D plasma profiles from line-integral measurements is important in nuclear fusion. This paper introduces a physics-informed model architecture called Onion, that can enhance the performance of models and be adapted to various backbone networks. The model under Onion incorporates physical information by a multiplication process and applies the physics-informed loss function according to the principle of line integration. Prediction results demonstrate that the additional input of physical information improves the deep learning model's ability, leading to a reduction in the average relative error E_1 between the reconstruction profiles and the target profiles by approximately 0.84x10^(-2) on synthetic datasets and about 0.06x10^(-2) on experimental datasets. Furthermore, the implementation of the Softplus activation function in the final two fully connected layers improves model performance. This enhancement results in a reduction in the E_1 by approximately 1.06x10^(-2) on synthetic datasets and about 0.11x10^(-2) on experimental datasets. The incorporation of the physics-informed loss function has been shown to correct the model's predictions, bringing the back-projections closer to the actual inputs and reducing the errors associated with inversion algorithms. Besides, we have developed a synthetic data model to generate customized line-integral diagnostic datasets and have also collected soft x-ray diagnostic datasets from EAST and HL-2A. This study achieves reductions in reconstruction errors, and accelerates the development of surrogate models in fusion research.
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