arXiv:2411.10064stat.MEcs.LG2024-11被引 1

让神经网络自动平衡物理规律与数据,提升图像质量预测的准确性和鲁棒性。

Adaptive Physics-Guided Neural Network

  • 根据物理定律动态调整模型对数据和先验知识的依赖程度。
  • 在真实热成像数据上显著优于传统模型,尤其在环境变化大的场景中。
  • 适合需要高可靠性的工业检测、农业质量评估等实际应用。

本文提出自适应物理引导神经网络(APGNN),通过将物理定律融入深度学习模型,从图像数据中预测质量属性。APGNN 能自适应地平衡数据驱动与物理约束的预测,提升模型在不同环境下的准确性和鲁棒性。实验基于合成数据和真实世界数据集:合成数据采用扩散方程、对流-扩散方程和泊松方程生成二维域,并施加非线性变换模拟复杂物理过程;真实数据包含低多样性、受控条件的黄瓜数据集,以及更具挑战性的户外材料热成像数据集。在黄瓜数据集上,APGNN 与物理引导神经网络(PGNN)表现相近,均优于数据驱动的 ResNet;而在更复杂的热成像数据集上,尤其在环境变化大、材料多样的户外场景中,APGNN 因能动态调整物理与数据的权重,显著优于 PGNN 和 ResNet,保持稳定性能。结果表明,自适应物理引导学习可在复杂真实场景中有效整合物理约束。

原文摘要 · Abstract (English)

This paper introduces an adaptive physics-guided neural network (APGNN) framework for predicting quality attributes from image data by integrating physical laws into deep learning models. The APGNN adaptively balances data-driven and physics-informed predictions, enhancing model accuracy and robustness across different environments. Our approach is evaluated on both synthetic and real-world datasets, with comparisons to conventional data-driven models such as ResNet. For the synthetic data, 2D domains were generated using three distinct governing equations: the diffusion equation, the advection-diffusion equation, and the Poisson equation. Non-linear transformations were applied to these domains to emulate complex physical processes in image form. In real-world experiments, the APGNN consistently demonstrated superior performance in the diverse thermal image dataset. On the cucumber dataset, characterized by low material diversity and controlled conditions, APGNN and PGNN showed similar performance, both outperforming the data-driven ResNet. However, in the more complex thermal dataset, particularly for outdoor materials with higher environmental variability, APGNN outperformed both PGNN and ResNet by dynamically adjusting its reliance on physics-based versus data-driven insights. This adaptability allowed APGNN to maintain robust performance across structured, low-variability settings and more heterogeneous scenarios. These findings underscore the potential of adaptive physics-guided learning to integrate physical constraints effectively, even in challenging real-world contexts with diverse environmental conditions.

神经网络物理引导自适应图像预测

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