Structural tensor-on-tensor regression with interaction effects and its application to a hot rolling process

IF 2.6 2区 工程技术 Q2 ENGINEERING, INDUSTRIAL
Huihui Miao, Andi Wang, Bing Li, Jianjun Shi
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引用次数: 4

Abstract

Abstract This paper proposes a method of Structural Tensor-On-Tensosr regression considering the Interaction effects (STOTI). To alleviate the curse of dimensionality and resolve computational challenge, the STOTI method describes the specific structure of the main and interaction effect tensors indicated by the prior knowledge of the data using corresponding regularization terms on their appropriate modes. We designed an ADMM consensus algorithm to estimate these coefficient tensors. Extensive simulations and a real case study of the hot rolling process verified the superiority of the proposed method in terms of estimation and prediction accuracy.
具有相互作用的结构张量对张量回归及其在热轧过程中的应用
提出了一种考虑相互作用效应的结构张量-张量回归方法。为了减轻维数诅咒和解决计算挑战,STOTI方法使用相应的正则化项来描述由数据的先验知识表示的主效应张量和交互效应张量的特定结构。我们设计了一种ADMM一致性算法来估计这些系数张量。大量的仿真和热轧过程的实际案例研究验证了该方法在估计和预测精度方面的优越性。
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来源期刊
Journal of Quality Technology
Journal of Quality Technology 管理科学-工程:工业
CiteScore
5.20
自引率
4.00%
发文量
23
审稿时长
>12 weeks
期刊介绍: The objective of Journal of Quality Technology is to contribute to the technical advancement of the field of quality technology by publishing papers that emphasize the practical applicability of new techniques, instructive examples of the operation of existing techniques and results of historical researches. Expository, review, and tutorial papers are also acceptable if they are written in a style suitable for practicing engineers. Sample our Mathematics & Statistics journals, sign in here to start your FREE access for 14 days
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