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Stochastic optimization of Gradient Boosting Decision Trees for interpretable prediction of heavy metal adsorption onto biochar

Mahran Al-ZyoudDepartment of Networks and Cybersecurity, Hourani Center for Applied Scientific Research, Al-Ahliyya Amman University, Amman, JordanSalama A. MostafaDepartment of Artificial Intelligence, College of Engineering Technology, Alnoor University, Mosul 41012, Nineveh, IraqIbrahim KhersanDepartment of computers Techniques engineering, College of technical engineering, The Islamic University, Najaf, IraqJ. GowrishankarDepartment of Computer Science Engineering, School of Engineering and Technology, JAIN (Deemed to be University), Bangalore, Karnataka, IndiaPrabhat Kumar SahuDepartment of Computer Science and Information Technology, Siksha ’O’ Anusandhan (Deemed to be University), Bhubaneswar Odisha-751030, IndiaSiya SinglaCentre for Research Impact & Outcome, Chitkara University Institute of Engineering and Technology, Chitkara University, Rajpura 140401, Punjab, IndiaSardor SabirovDepartment of General Professional Sciences, Mamun University, Khiva, UzbekistanIslom. KhudayberganovDepartment of chemistry, Urgench state university, UzbekistanSamim SherzodFaculty of Engineering, Nangarhar University, Nangarhar, Afghanistan
ABI

Аннотация

Predicting the heavy metal adsorption capacity of biochar is a significant challenge due to complex physicochemical mechanisms and the limitations of traditional experimental approaches. This study aimed to develop and validate a robust, interpretable machine learning framework by optimizing Gradient Boosting Decision Trees (GBDT) for this predictive task. Using a comprehensive dataset of 359 experimental points, we compared four hyperparameter optimization heuristics and found that Gaussian Process Optimization (GPO) yielded a model with superior generalization performance. The final GBDT-GPO model achieved a coefficient of determination (R 2 ) of 0.9784 and a mean squared error (MSE) of 0.0035 on an unseen test set, in contrast to other methods like Evolution Strategies, which showed significant overfitting. Furthermore, Shapley Additive Explanations (SHAP) analysis identified initial metal concentration and solution pH as the dominant factors governing adsorption, outweighing physical properties like surface area. This research establishes a highly accurate and interpretable computational strategy that can guide the rational design of biochar and optimize its application in water treatment.

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