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基于三维重构与梯度提升树模型的烟柱封闭压降预测方法

A method for predicting cigarette rod pressure drop based on 3D reconstruction and gradient boosting decision tree

  • 摘要: 为了揭示烟柱封闭压降的形成机理并建立预测模型,联合使用CT三维重构技术、物理模型和梯度提升树算法对34种样品的烟柱封闭压降进行系统分析。通过物理模型预处理提升数据质量,并系统比较了4类模型(传统物理模型、基础理论模型、“经验‒物理”模型、机器学习模型)的预测性能。以圆周为20 mm的烟柱为例,研究结果表明:①在3种物理模型中,“经验‒物理”模型预测效果最佳,该模型为数据清洗和特征筛选提供了依据,通过该模型识别并剔除了残差超过100 Pa(该阈值约为绝对中位差的2.6倍)的异常数据,有效提升了数据集的物理合理性;②梯度提升树模型在独立测试集上预测性能最佳(MAE=38.58 Pa、R2=0.85、MAPE=7.08%),显著优于各类物理模型;③三维重构提取的等效孔径是影响封闭压降的决定性因素(特征重要性为76.73%),移除该特征使预测压降的平均绝对误差上升78.6%;④等效孔径受切丝宽度和烟叶部位交互作用的显著影响,通过工艺调整可实现对卷烟封闭压降的定向调控。该研究提出的“物理引导+数据驱动”联合框架,虽仅在中支卷烟上进行了验证,但为烟草行业从原料到工艺的全流程优化提供了新方法,对多孔介质流动分析具有借鉴意义。

     

    Abstract: To investigate the formation mechanism of tobacco rod closed pressure drop and establish a predictive model, this study systematically analyzed the closed pressure drop of 34 types of samples using a tobacco rod with a circumference of 20 mm using a combined approach of CT 3D reconstruction, physical models, and the Gradient Boosting Decision Tree (GBDT) algorithm. Data quality was enhanced through preprocessing using a physical model, and the predictive performances of four types of models (traditional physical model, basic theoretical model, empirical-physical hybrid model, and machine learning model) were systematically compared. The results indicated that, 1)Among the three physical models, the empirical-physical hybrid model achieved the best predictive performance. It provided a basis for data cleaning and feature screening, enabling the identification and removal of abnormal data with residuals exceeding 100 Pa (approximately 2.6 times the median absolute deviation), thereby effectively improving the physical plausibility of the dataset. 2)The GBDT model achieved the optimal predictive performance on the independent test set (MAE = 38.58 Pa, R2= 0.85, MAPE = 7.08%), significantly outperforming all types of physical models. 3)The equivalent pore diameter extracted via 3D reconstruction is the decisive factor affecting closed pressure drop (feature importance: 76.73%). Removing this feature increased the prediction error by 78.6%. 4)The equivalent pore diameter is significantly influenced by the interaction between tobacco cut width and leaf position, enabling directional regulation of pressure drop through process adjustments. Although only validated on medium cigarettes, the "physically-guided and data-driven" integrated framework proposed in this study provides a new method for the closed-loop optimization of the tobacco industry from raw material to processing, and offers insights for the analysis of fluid flow in porous media.

     

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