融合先验知识的混凝土成坑效应神经网络预测模型

A Neural Network Prediction Model for Concrete Cratering Effect Incorporating Prior Knowledge

  • 摘要: 为提高混凝土成坑效应的预测精度,提出了一种融合先验知识的神经网络模型. 收集混凝土靶成坑试验数据,并采用异常样本检测和复合数据增强方法筛选和增广数据集. 引入白金汉Π定理对输入特征进行降维,优化神经网络模型的输入特征表达. 选择适配不同预测任务的最优损失函数,构建融合先验知识的混凝土成坑效应神经网络预测模型. 研究结果表明,经数据增强后,成坑深度和成坑直径神经网络模型的预测精度分别提高了0.4%和0.9%. Huber损失函数在成坑深度预测任务中优于MSE(均方误差)和MAPE(平均绝对误差)损失函数,能够有效减小异常值的影响;MSE损失函数在成坑直径预测任务中表现最佳. 相较传统经验模型和数据驱动的神经网络模型,融合先验知识的神经网络模型在宽速域条件下展现了更高的预测精度,能够有效处理复杂的非线性关系.

     

    Abstract: To improve prediction accuracy of concrete cratering effects, this study developed a neural network model incorporating prior knowledge. Experimental data from concrete target cratering tests were collected. Anomaly sample detection and composite data augmentation methods were applied to filter and expand the dataset. The Buckingham Π theorem was introduced to reduce input feature dimensions and optimize neural network input representation. Optimal loss functions were selected for different prediction tasks to establish the prior knowledge-integrated neural network model. Results show that the data enhancement strategy improved prediction accuracy by 0.4% for crater depth and 0.9% for crater diameter. The Huber loss function outperformed MSE (Mean Squared Error) and MAPE (Mean Absolute Percentage Error) in depth prediction by reducing outlier impacts, while MSE achieved optimal performance in diameter prediction. Compared with traditional empirical models and data-driven neural networks, the prior knowledge-integrated model demonstrates higher prediction accuracy under wide velocity range conditions and better handling of complex nonlinear relationships.

     

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