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基于概率分布注意力机制的可解释产品质量预测研究

郭梓昱, 王宁, 汪建均, 王璐瑶   

  1. 南京理工大学经济管理学院, 450001
  • 收稿日期:2025-01-13 修回日期:2025-09-12 接受日期:2026-01-01
  • 通讯作者: 王璐瑶
  • 基金资助:
    河南省研究生教育改革与质量提升工程项目(YJS2025XQLH04); 河南省研究生教育改革与质量提升工程项目(YJS2025GZZ05); 河南省高校哲学社会科学创新人才支持计划(2023-CXRC-19); 河南省高等学校青年骨干教师培养计划(2021GGJS006); 郑州大学专业学位研究生教育改革与质量提升工程项目(XJ2024XQ01); 郑州大学专业学位研究生教育改革与质量提升工程项目(XJ2024JD03); 郑州大学精尖、冷门、绝学学科支持计划项目(XKLMJX202201); 郑州大学人文社会科学优秀青年科研团队项目(2023-QNTD-01)

Research on Explainable Product Quality Prediction Based on Probability Distribution Attention Mechanism

Luyao Wang   

  1. , 450001,
  • Received:2025-01-13 Revised:2025-09-12 Accepted:2026-01-01
  • Contact: Wang, Luyao

摘要: 在现代产品生产过程中,工艺数据通常表现出高维非线性和复杂的时间依赖性,显著增加了模型构建难度,使传统方法难以提取关键工艺特征,极大地限制了产品质量预测的准确性与结果的可解释性。针对以上问题,本文提出了一种基于概率密度分布注意力机制的可解释产品质量预测模型。首先,构建了一种基于概率密度分布的动态特征注意力机制,有效应对多维特征间的复杂关系,并精准识别各个时间点影响产品质量的关键因素。其次,融合时间注意力机制,捕捉时间序列中的重要时间点,结合编码器-解码器框架和长短时记忆网络(Long Short-Term Memory Network, LSTM),该模型能够有效处理产品生产过程中的复杂时序数据,从而进一步提升预测性能。最后,通过可解释的动态注意力权重揭示了特征和时间因素对产品质量指标的影响。通过实际案例结果表明,与传统模型相比该方法在预测精度上有显著提升,同时其具备的内在可解释性也为产品生产过程中的质量控制提供了有效的方法和实现路径。

关键词: 质量预测,概率密度分布,注意力机制,可解释性,多元时间序列

Abstract: In modern product manufacturing processes, process data often exhibit high dimensionality, non-linearity, and complex temporal dependencies, significantly complicating model development. These challenges hinder traditional methods from effectively extracting key process features, thereby limiting the accuracy and interpretability of product quality predictions. To address these challenges, this paper proposes an explainable product quality prediction model leveraging a probability distribution-based attention mechanism. Initially, a dynamic feature attention mechanism based on probability density distributions is developed, enabling the model to handle the intricate relationships between multi-dimensional features and accurately identify the critical factors influencing product quality at each time point. Additionally, a time attention mechanism is incorporated to capture important time points within the temporal sequence. By integrating an encoder-decoder framework with Long Short-Term Memory (LSTM) networks, the model is capable of effectively processing the complex temporal data inherent in product manufacturing, thereby enhancing predictive performance. Lastly, the explainable dynamic attention weights offer insights into the influence of both feature and temporal factors on product quality indicators. Empirical results from practical case studies demonstrate that, compared to traditional models, the proposed approach yields significant improvements in prediction accuracy. Moreover, its inherent explainability provides a robust methodology and actionable path for quality control in product manufacturing processes.

Key words: quality prediction, probability density distribution, attention mechanism, interpretability, multivariate time series