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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 prediction method for the closed pressure drop of cigarette rods based on three-dimensional reconstruction and gradient boosting decision tree model

  • 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类物理模型中,“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 =0.850、MAPE=7.08%),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 elucidate the formation mechanism of the closed pressure drop of cigarette rods and to develop a predictive model, CT-based three-dimensional reconstruction technology, physical model, and gradient boosting decision tree algorithm were jointly employed to systematically analyze the closed pressure drop of 34 cigarette rod samples. Data quality was improved through preprocessing using a physical model, and the predictive performances of four types of models, namely traditional physical model, basic theoretical model, empirical-physical model, and machine learning model, were systematically compared. Using cigarette rods with a circumference of 20 mm as a case study. The results showed that: 1) Among the three types of physical models, the empirical-physical model showed the best predictive performance and provided a basis for data cleaning and feature screening. Using this model, outliers with residuals exceeding 100 Pa, a threshold of approximately 2.6 times the median absolute deviation, were identified and removed, thereby improving the physical plausibility of the dataset. 2) The gradient-boosted decision tree model achieved the best predictive performance on the independent test set (MAE=38.58 Pa, R2 =0.850, MAPE=7.08%), outperforming other types of physical models. 3) The equivalent pore diameter extracted from three-dimensional reconstruction was the dominant factor affecting the closed pressure drop, with a feature importance of 76.73%. Removing this feature increased the mean absolute error of prediction by 78.6%. 4) The equivalent aperture was significantly influenced by the interaction between the width of cut tobacco and stalk position of tobacco leaves, suggesting that the closed pressure drop can be targetedly controlled through process adjustments. Although validated only for demi-slim cigarettes, the proposed physically guided and data-driven integrated framework provides a new method for optimizing the entire process from raw material to processing in the tobacco industry, and offers a reference for the flow analysis of porous media.

     

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