SCI和EI收录∣中国化工学会会刊

中国化学工程学报 ›› 2025, Vol. 85 ›› Issue (9): 238-250.DOI: 10.1016/j.cjche.2025.04.010

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A soft sensing method for mechanical properties of hot-rolled strips based on improved co-training

Bowen Shi, Jianye Xue, Hao Ye   

  1. Department of Automation, Tsinghua University, Beijing 100084, China
  • 收稿日期:2024-11-08 修回日期:2025-04-11 接受日期:2025-04-14 出版日期:2025-09-28 发布日期:2025-05-13
  • 通讯作者: Hao Ye,E-mail:haoye@tsinghua.edu.cn
  • 基金资助:
    This work was supported in part by National Key Research & Development Program of China (2021YFB3301200), and in part by the National Natural Science Foundation of China (61933015).

A soft sensing method for mechanical properties of hot-rolled strips based on improved co-training

Bowen Shi, Jianye Xue, Hao Ye   

  1. Department of Automation, Tsinghua University, Beijing 100084, China
  • Received:2024-11-08 Revised:2025-04-11 Accepted:2025-04-14 Online:2025-09-28 Published:2025-05-13
  • Contact: Hao Ye,E-mail:haoye@tsinghua.edu.cn
  • Supported by:
    This work was supported in part by National Key Research & Development Program of China (2021YFB3301200), and in part by the National Natural Science Foundation of China (61933015).

摘要: Accurately soft sensing of the mechanical properties of hot-rolled strips is essential to ensure product quality, optimize production, and reduce costs. However, it faces the difficulty caused by limited labeled samples, for which co-training based semi-supervised learning offers a potential solution. So in this paper, a novel soft sensing method for mechanical properties based on improved co-training (ICO) is proposed. Compared with the existing co-training framework, the proposed ICO introduces improvements from the aspects of multiple view partition, confidence estimation, and pseudo-label assignment. Specifically, (ⅰ) in the stage of multiple view partition, ICO integrates metallurgical mechanisms of hot rolling processes and statistical mutual information to achieve a balance between view sufficiency and independence, which improves model performance and interpretability; (ⅱ) in the stage of confidence estimation, ICO evaluates the confidence of unlabeled samples at the cluster level rather than at the level of a single sample, which facilitates the exploration of sample distribution and the selection of representative samples; (ⅲ) in the pseudo-label assignment stage, ICO adopts a safe pseudo-label algorithm (which is called SAFER by its author and originally used for each single sample) to assign pseudo-labels for cluster of samples with the highest confidence determined in the previous step stage, to take advantage of the merit of handling unlabeled samples at the cluster level mentioned above on one hand, and the merit of SAFER in enhancing the quality of pseudo-labels on the other hand. The proposed soft sensing method effectively predicts mechanical properties on the real hot rolling dataset, achieving approximately 5% improvement in R2 compared to traditional supervised learning.

关键词: Mechanical properties, Co-training, Soft sensing method

Abstract: Accurately soft sensing of the mechanical properties of hot-rolled strips is essential to ensure product quality, optimize production, and reduce costs. However, it faces the difficulty caused by limited labeled samples, for which co-training based semi-supervised learning offers a potential solution. So in this paper, a novel soft sensing method for mechanical properties based on improved co-training (ICO) is proposed. Compared with the existing co-training framework, the proposed ICO introduces improvements from the aspects of multiple view partition, confidence estimation, and pseudo-label assignment. Specifically, (ⅰ) in the stage of multiple view partition, ICO integrates metallurgical mechanisms of hot rolling processes and statistical mutual information to achieve a balance between view sufficiency and independence, which improves model performance and interpretability; (ⅱ) in the stage of confidence estimation, ICO evaluates the confidence of unlabeled samples at the cluster level rather than at the level of a single sample, which facilitates the exploration of sample distribution and the selection of representative samples; (ⅲ) in the pseudo-label assignment stage, ICO adopts a safe pseudo-label algorithm (which is called SAFER by its author and originally used for each single sample) to assign pseudo-labels for cluster of samples with the highest confidence determined in the previous step stage, to take advantage of the merit of handling unlabeled samples at the cluster level mentioned above on one hand, and the merit of SAFER in enhancing the quality of pseudo-labels on the other hand. The proposed soft sensing method effectively predicts mechanical properties on the real hot rolling dataset, achieving approximately 5% improvement in R2 compared to traditional supervised learning.

Key words: Mechanical properties, Co-training, Soft sensing method