基于可释集成学习的RC矩形空心墩有效刚度预测模型研究

Study on Predictive Model for Effective Stiffness of RC Rectangular Hollow Piers Using Interpretable Ensemble Machine Learning

  • 摘要: 为获得较准确的矩形空心墩有效刚预测模型,建立了包含131个弯曲破坏为主的矩形空心墩有效刚度数据集,分析了既有有效刚度模型对矩形空心墩的适用性;以13个特征作为输入参数,构建了支持向量机回归(SVR)、随机森林回归(RFR)、极端随机树回归(ERTR)、梯度提升树回归(GBTR)、极端梯度提升树回归(XGBR)及投票集成回归(VOTR)等6个有效刚度机器学习模型;对既有模型、机器学习模型的预测性能进行评估与比较;并采用SHAP 方法对XGBR模型进行解释。研究表明:除王震、韦旺模型外,既有公式在平均意义上严重高估了矩形空心墩的有效刚度,且各模型的变异系数较大;与既有模型相比,机器学习算法具有很大的优越性,即使预测性能最低的SVR模型也比所有既有模型的预测精度高;在单次集成器学习模型中,XGBR模型的预测性能最好,本文提出的二次集成VOTR模型的预测性能较XGBR有进一步提高,具有最高的预测精度,其在完整数据集上的均方根误差(RMSE)、平均绝对误差(MAE)、平均绝对百分比误差(MAPE)及决定系数(R2)分别为1.3%、0.7%、3.4%和0.990,预测值与试验值之比的均值和变异系数分别为1.01和0.07,给出了最稳定、安全和准确的预测结果,远优于既有模型;SHAP 方法可以从全局层面和局部水平对模型预测结果作出解释,对于XGBR模型,按重要性排序的前5个特征依次为剪跨比L/H、纵筋率ρl、轴压比n、纵筋屈服强度fyl及材料几何参数m(即fyldb /Lfc ),有助于有效刚度解析模型的改进。

     

    Abstract: To obtain accurate prediction model for effective stiffness of RC rectangular hollow piers, a dataset containing 131 samples with bending failure as the main failure mode was established. The applicability of existing effective stiffness models to rectangular hollow piers was analyzed. Six machine learning models for effective stiffness prediction, including support vector regression (SVR), random forest regression (RFR), extreme random tree regression (ERTR), gradient boosting tree regression (GBTR), extreme gradient boosting tree regression (XGBR), and voting ensemble regression (VOTR), were constructed with 13 features as input parameters. The prediction performance of existing models and machine learning models was evaluated by using 131 samples. And the SHAP method was used to explain the XGBR model. The research showed that, except for Wang's and Wei's models, existing formulas significantly overestimated the effective stiffness of rectangular hollow piers on mean value of statistical meaning, and the coefficients of variation of each model were relatively large. Compared with existing models, machine learning algorithms had great advantages, and even the SVR model with the lowest prediction performance had higher prediction accuracy than all existing models. Among single-ensemble learning models, the XGBR model had the best prediction performance. The proposed double-ensemble VOTR model further improved the prediction performance and had the highest prediction accuracy. The root-mean square error (RMSE), mean absolute error (MAE), mean absolute percentage error (MAPE), and coefficient of determination (R2) of VOTR model on the complete data set were 1.3%, 0.7%, 3.4%, and 0.990, respectively; and the average and coefficient of variation of the ratio of predicted value to test value were 1.01 and 0.07, respectively. The VOTR model obtained the most stable, safe, and accurate prediction results, which was far superior to existing models. The SHAP method can explain the model prediction results from both the global and individual levels. For XGBR model, the top five features in importance order were shear span ratio L/H, longitudinal reinforcement ratio ρl, axial compression ratio n, longitudinal reinforcement yield strength fyl, and material geometric parameter m (i.e. fyldb /Lfc ), which were helpful for improving the physical analysis model of effective stiffness of RC rectangular hollow piers.

     

/

返回文章
返回