Detection of Machine Tool Anomalies from Bayesian Changepoint Recurrence Estimation

Christian Reich, Christina Nicolaou, Ahmad Mansour, Kristof Van Laerhoven
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Abstract

In this study, we consider the problem of detecting process-related anomalies for machine tools. The similar shape of successive sensor signals, which arises due to the same process step sequence applied to each workpiece, suggests extracting shape-related features. In recent years, shapelets dominated the field of shape-related features. Unfortunately, they involve a high computational burden due to hyperparameter optimization.We introduce alternative shape-related features relying on abrupt signal changes (changepoints) reflecting the changes of process steps. During normal operation, changepoints follow a highly recurrent pattern, i.e., appear at similar locations. Thus, being able to distinguish regular, recurrent from abnormal, non-recurrent changepoints allows detecting process anomalies.For changepoint recurrence estimation, we extend the Bayesian Online Changepoint Detection (BOCPD) method. The extension allows distinguishing normal and abnormal changepoints relying on empirical estimates of the changepoint recurrence distribution. Subsequently, changepoint-related features are introduced and compared to shapelets and wavelet-based features in a case study comprising real-world machine tool data.Qualitative results verify changepoint locations being comparable to shapelet locations found by the FLAG shapelet approach. Furthermore, quantitative results suggest superior classification performance both to shapelets and wavelet-based features.
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基于贝叶斯变点递归估计的机床异常检测
在本研究中,我们考虑了检测机床过程相关异常的问题。由于应用于每个工件的相同加工步骤序列,导致连续传感器信号的形状相似,因此建议提取与形状相关的特征。近年来,小颗粒在形状相关特征领域占据主导地位。不幸的是,由于超参数优化,它们涉及很高的计算负担。我们引入了替代形状相关的特征依赖于突变信号的变化(变化点),反映了过程步骤的变化。在正常操作期间,变更点遵循高度循环的模式,即出现在相似的位置。因此,能够区分规则的、经常性的和异常的、非经常性的变更点,就可以检测过程异常。对于变更点递归估计,我们扩展了贝叶斯在线变更点检测(BOCPD)方法。该扩展允许根据对变更点递归分布的经验估计来区分正常和异常的变更点。随后,在包含真实机床数据的案例研究中,引入了与变化点相关的特征,并将其与shapelets和基于小波的特征进行了比较。定性结果验证了变更点位置与FLAG shapelet方法找到的shapelet位置相当。此外,定量结果表明,该方法的分类性能优于基于小波和基于小波的特征。
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