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首页> 外文期刊>International Journal of Production Research >Discriminant locality preserving projection chart for statistical monitoring of manufacturing processes
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Discriminant locality preserving projection chart for statistical monitoring of manufacturing processes

机译：区分局部性的投影图用于制造过程的统计监视

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摘要

In this paper, we propose a novel multivariate projection chart called the discriminant locality preserving projection chart. The basic idea of the chart is to seek an optimal linear projection of the original data including both the in-control reference data and the newly observed data for monitoring. The projection strives to not only preserve the locality structure of the original data but also maximise the separation between the in-control reference data and the newly observed data. With this projection, the low-dimensional projected data will then be monitored through a T~2 type of statistics. Comparing with the existing projection-based control chart, the proposed chart preserves the local data structure and adaptively identifies the best projection direction to detect the out-of-control data, and thus has more discriminating power, particularly for non-linearly related multidimensional data. The design issues of this chart are discussed in details in this paper. The effectiveness of the proposed method is verified by numerical studies and a real case study of forging process monitoring.
机译：在本文中，我们提出了一种新颖的多元投影图，称为判别性局部保留投影图。该图表的基本思想是寻求原始数据的最佳线性投影，包括控制中参考数据和新近观察到的数据，以进行监控。该投影不仅要保留原始数据的局部性结构，而且还要使控制中参考数据与新观察到的数据之间的距离最大化。通过这种投影，低维投影数据将通过T〜2类型的统计数据进行监控。与现有的基于投影的控制图相比，该图保留了局部数据结构并自适应地标识了最佳投影方向以检测失控数据，因此具有更大的识别能力，尤其是对于非线性相关的多维数据。本文将详细讨论该图表的设计问题。通过数值研究和锻造过程监控的实际案例验证了所提方法的有效性。

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