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    面向工业小样本特征学习增强型PI-AE的预测方法研究

    Feature learning-enhanced PI-AE for industrial few-shot prediction

    • 摘要: 针对工业系统中小样本、高噪声场景下纯数据驱动的预测模型易过拟合,以及物理信息神经网络(PINN)高度依赖严格物理方程的问题,文中提出基于特征学习增强型物理信息自编码器(PI-AE)的模型预测方法。该方法在自编码器特征重构基础上新增预测分支,并融合物理单调性约束,设计“重构-物理-预测”复合损失函数,实现了特征鲁棒学习、物理一致性与精准预测的协同优化。数值实验表明,PI-AE测试集RMSE较PINN降低46.1%,较反向传播(BP)神经网络降低97.4%;在乙炔浓度软测量任务中,通过消融实验系统验证了该多任务框架对模型性能的递进式增益。PI-AE方法有效克服了传统模型的局限性,为工业小样本预测提供了一种新范式。

       

      Abstract: To address the issues of overfitting in purely data-driven predictive models under scenarios with low number of samples and high noise in industrial systems, as well as the heavy reliance of Physical Information Neural Network (PINN) on strict physical equations, this paper proposes a model prediction method based on feature learning enhanced Physics-Informed Autoencoder (PI-AE). This approach introduces a prediction branch on top of the autoencoder's feature reconstruction, integrating physical monotonicity constraints to design a “reconstruction-physical-prediction” composite loss function. This achieves synergistic optimization of robust feature learning, physical consistency, and accurate prediction. Numerical experiments demonstrate that PI-AE achieves a 46.1% reduction in test-set RMSE compared to PINN and a 97.4% reduction compared to BP neural networks. In acetylene concentration soft measurement tasks, ablation studies systematically validate the progressive performance gains of this multi-task framework. The PI-AE method effectively overcomes limitations of traditional models, establishing a new paradigm for industrial few-shot prediction.

       

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