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Maohui Zou, Jian Yang, Xiaofeng Qiu, Wei Deng, Han Sun, and Yuntong Li, Prediction of BOF endpoint P content by Optuna-RF with K-medoids clustering based on metallurgical parameter constraint, Int. J. Miner. Metall. Mater., (2026). https://doi.org/10.1007/s12613-025-3359-4
Maohui Zou, Jian Yang, Xiaofeng Qiu, Wei Deng, Han Sun, and Yuntong Li, Prediction of BOF endpoint P content by Optuna-RF with K-medoids clustering based on metallurgical parameter constraint, Int. J. Miner. Metall. Mater., (2026). https://doi.org/10.1007/s12613-025-3359-4
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基于冶金参数约束K-medoids聚类与Optuna-RF的转炉终点磷含量预测

摘要: 准确预测终点磷含量对于转炉炼钢过程控制和钢水质量保障具有重要意义。基于钢厂实际生产数据,提出了一种融合冶金参数约束K-medoids聚类、Optuna超参数优化和可解释性分析的随机森林预测模型(Optuna-RF),并与随机森林(RF)、极端梯度提升(XGBoost)、自然梯度提升(NGBoost)和轻量级梯度提升机(LightGBM)模型进行了比较。首先,采用莱特准则识别并剔除异常数据,同时利用冶金过程稳定性条件约束K-medoids聚类,以提高样本分组的冶金一致性。随后,基于Optuna的树结构Parzen估计器对随机森林超参数进行自动优化,其中关键超参数max_features的相对重要性为48%,从而减少了人工调参工作量。结果表明,Optuna-RF模型在比较模型中取得了最低的预测误差,其均方根误差和平均绝对误差分别为0.00186wt%和0.0009686wt%。该模型的预测误差波动范围最小,误差分布在零误差附近最为集中;在误差区间-15, 15和-25, 25内的命中率分别达到86.55%和97.31%,表现出较高的稳定性和可靠性。进一步采用SHAP方法分析模型的特征贡献,识别了影响终点磷含量预测的关键工艺参数,为转炉炼钢过程优化和工艺控制提供了数据支持。

 

Prediction of BOF endpoint P content by Optuna-RF with K-medoids clustering based on metallurgical parameter constraint

Abstract: The accurate prediction of endpoint phosphorus content is very important for controlling the basic oxygen furnace (BOF) steelmaking process. Based on the production data, a random forest (RF) model integrating K-medoids clustering under metallurgical parameter constraints, hyperparameter Optuna optimization, and interpretability analysis (Optuna-RF) is proposed for predicting the endpoint phosphorus content by comparison with four machine learning models: RF, eXtreme Gradient Boosting (XGBoost), Natural Gradient Boosting (NGBoost), and Light Gradient Boosting Machine (LightGBM). The Optuna-RF model uses intelligent sampling based on Optuna’s tree-structured Parzen estimator (TPE) to automatically optimizes the RF hyperparameters with 48% importance of the key parameter max_features contribution, reducing the manual workload of parameter tuning. The measurement error is significantly lower than that of the comparison models, with a root mean square error (RMSE) of 0.00186wt%, which is being 21.1% lower than that of the traditional RF, and a mean absolute error (MAE) of 0.0009686wt%, which is being 83% lower than that of XGBoost. The Optuna-RF model exhibits the smallest error fluctuation range and the most concentrated error distribution (with the highest peak at zero error) in predicting the endpoint phosphorus content. Specifically, it achieves hit rates of 86.55% within the error interval −15, 15 and 97.31% within −25, 25. This demonstrates significantly higher stability and reliability compared to the other four machine learning models. Characteristic importance analysis of the Optuna-RF model using SHapley Additive exPlanations (SHAP) analysis reveals the key process parameters affecting the endpoint phosphorus content, which provides a theoretical basis and data support for the optimization of the steelmaking process and process control.

 

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