基于稀疏神经网络的污水处理软测量建模方法

A Soft Sensor for Wastewater Treatment Based on Sparse Neural Networks

  • 摘要: 软测量技术通过建立数学模型来间接测量难以直接获取的关键参数,可应用于污水处理过程中关键出水指标难以测量的问题。然而,传统神经网络软测量模型在应对污水处理软测量场景中日益复杂多样的数据时,由于模型结构过度稠密化,容易引发过拟合现象,导致模型的预测精度降低,泛化能力削弱。为此,文章提出了一种基于稀疏神经网络的软测量模型(SPNN)。该模型融合正则化稀疏性约束与周期性剪枝策略,降低网络中非零参数数量,以构建更为简洁且高效的模型结构;结合特征选择与数据标准化等预处理手段,进一步增强模型的预测性能和泛化能力。实验结果显示,在加州大学欧文分校的污水处理数据集(UCI污水数据集)上,相较于偏最小二乘(PLS)、支持向量机(SVM)、长短期记忆网络(LSTM)和深度神经网络(DNN),SPNN模型的预测误差显著降低。具体而言,与最优对比模型LSTM相比,SPNN模型的均方根误差(RMSE)下降了88.87%,平均绝对误差(MAE)降低了75.82%,决定系数(R2)提高了6.29%,验证了其在复杂污水数据建模中的准确性与鲁棒性优势。

     

    Abstract: Soft sensors can indirectly quantify key parameters that are difficult to measure directly by establishing mathematical models. This technique is particularly useful in addressing the difficulty of measurement of critical effluent parameters in wastewater treatment process. However, with the increasing diversity and complexity of data, traditional neural networks become prone to parameter redundancy, computational inefficiency, and limited generalization capability. To address this issue, a soft sensor based on the sparse neural network (SPNN) is proposed. This model integrates the regularization-based sparsity constraint and periodic pruning strategy to reduce the number of non-zero parameters in the network, thereby building a more concise and efficient model structure. Besides, combined with preprocessing methods such as feature selection and data standardization, the prediction performance and generalization ability of SPNN are further enhanced. Experimental results on the University of California, Irvine (UCI) wastewater treatment dataset demonstrate that the SPNN significantly outperforms comparative models, including partial least squares (PLS), support vector machines (SVM), long short-term memory networks (LSTM), and deep neural networks (DNN). Specifically, compared with the best comparative model LSTM, the proposed method significantly improves the prediction accuracy with 88.87% reduction in root mean square error (RMSE), 75.82% reduction in mean absolute error (MAE), and 6.28% improvement in coefficient of determination (R2), which verifies the excellent accuracy and robustness of the SPNN in modeling complex wastewater data.

     

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