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Open AccessDOI: 10.1007/s12613-025-3193-8Original Research

Explainable MRF-BBAPM with self-learning for predicting compressive strength of oxidized pellet

Zezheng Li¹,Jue Tang¹,Mansheng Chu¹,Quan Shi¹

School of Metallurgy, Northeastern University, Shenyang, China

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Explainable MRF-BBAPM with self-learning for predicting compressive strength of oxidized pellet
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Published In
Journal of Mineral Metallurgy and Materials Science
Published:November 12, 2025Edition:Vol. 32, Issue 11 • pp. 554-566Citation:Zezheng Li et al. (2025), Journal of Mineral Metallurgy and Materials Science
Impact Factor3.5 (Q2 - USTB)
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Keywords & Index Terms:compressive strength predictionoxidized pelletmetallurgical mechanismsrandom forestBayesian optimizationBiGRUSHAPself-learning

Key Takeaways & Executive Findings

  • • Proposes the MRF-BBAPM model integrating metallurgical mechanisms, random forest feature selection, Bayesian optimization, BiGRU, and attention mechanism for accurate compressive strength prediction. • Achieves high prediction accuracy with a mean absolute error of 80.58 N (2.77% of the mean) and root mean square error of 95.75 N (3.29% of the mean). • Incorporates SHAP explainability to quantify feature contributions, enhancing model interpretability and reliability for industrial adoption. • Features a self-learning mechanism that updates based on weekly prediction errors, ensuring sustained performance in real-world production environments.
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Abstract

The compressive strength of oxidized pellets is a key indicator for evaluating pellet quality and stability. Accurate prediction of its variation trend is essential for improving production efficiency and optimizing process parameters. However, due to the high dimensionality and strong nonlinearity of compressive strength prediction, existing models still face limitations in terms of reliability, applicability, and generalization. This study proposes the metallurgical-random forest-based Bayesian optimized bidirectional gated recurrent unit (BiGRU) attention prediction model (MRF-BBAPM) model, which employs feature selection guided by metallurgical mechanisms and random forest to enhance model efficiency and relevance. The BiGRU network parameters are optimized using Bayesian optimization, and an attention mechanism is incorporated to focus on critical features, further improving model performance. The SHapley Additive exPlanations (SHAP) method is introduced to quantify the contribution of each feature to the prediction results, revealing the model’s decision-making process and enhancing its interpretability and reliability. The model also incorporates a self-learning mechanism that automatically updates and optimizes itself based on weekly prediction errors. Experimental results show that the proposed model achieves a mean absolute error of 80.58 N (2.77% of the mean) and a root mean square error of 95.75 N (3.29% of the mean) in predicting pellet compressive strength, demonstrating strong stability and reliability in real-world applications. This method provides effective data support for accurate prediction of pellet compressive strength and informed decision-making in production.

1. Introduction

As a key raw material in blast furnace ironmaking, the quality of oxidized pellets directly impacts the stability and production efficiency of the blast furnace. Compressive strength is an important indicator that evaluates pellet quality, reflecting the ability to resist external damage during transportation and smelting. It affects gas flow distribution in the blast furnace, fuel utilization efficiency, and overall smelting stability. Traditional evaluation methods rely on laboratory testing, which has long cycle times and fails to provide real-time feedback, making it difficult to adjust furnace conditions promptly. Therefore, accurately predicting the compressive strength of oxidized pellets is essential for optimizing production processes and improving resource utilization efficiency.

With the continuous development of information technology, especially the application of big data and machine learning, predicting oxidized pellet compressive strength is becoming increasingly feasible. By establishing data-driven prediction models, more precise and real-time quality assessments can be achieved. Liu et al. used a fuzzy system to classify spatiotemporal data and generate multi-layer fuzzy rules, constructing a particle swarm optimization-based deep fuzzy neural network to predict strength during pellet roasting and drying. Xu et al. conducted experimental studies on the impact of alkalinity and SiO2/MgO content, using these factors as inputs for a firefly algorithm-improved generalized regression neural network. Dwarapudi et al. developed an artificial neural network model to predict cold crushing strength in a straight grate sintering machine, achieving errors below 3%. Yan et al. used artificial neural networks to predict compressive strength of humic acid and bentonite pellets, establishing relationships between binder content, pellet diameter, weight, and strength. Yang et al. developed an Internet of Things (IoT) system for pellet raw material proportioning based on mature pellet compressive strength, enabling automatic raw material detection, quantitative processing of indicator data, automatic initiation of prediction models, and visualization of mixing results.

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Cite This Research Paper
Zezheng Li, Jue Tang, Mansheng Chu, Quan Shi (2025). Explainable MRF-BBAPM with self-learning for predicting compressive strength of oxidized pellet. Journal of Mineral Metallurgy and Materials Science. https://doi.org/10.1007/s12613-025-3193-8
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Frequently Asked Questions

What is the proposed model for predicting compressive strength of oxidized pellets?

The proposed model is MRF-BBAPM, which integrates metallurgical mechanisms, random forest feature selection, Bayesian optimization, bidirectional gated recurrent unit (BiGRU), and attention mechanism to accurately predict the compressive strength of oxidized pellets.

How does the model achieve explainability?

The model uses SHAP (SHapley Additive exPlanations) to quantify the contribution of each feature to the prediction results, revealing the decision-making process and enhancing interpretability and reliability.

What are the key performance metrics of the model?

The model achieves a mean absolute error (MAE) of 80.58 N (2.77% of the mean) and a root mean square error (RMSE) of 95.75 N (3.29% of the mean) in predicting pellet compressive strength.

What is the self-learning mechanism?

The model includes a self-learning mechanism that automatically updates and optimizes itself based on weekly prediction errors, ensuring sustained accuracy and adaptability in real-world production.

Why is accurate prediction of pellet compressive strength important?

Accurate prediction helps optimize blast furnace production processes, improve operational stability, enable real-time quality feedback, and enhance resource utilization efficiency in ironmaking.

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