邻域保持嵌入—加权k近邻故障检测算法及其在半导体蚀刻过程中的应用

Fault Detection Method Based on Neighborhood Preserving Embedding-weighted k-nearest Neighbors and its Application in Semiconductor Etching Process

  • 摘要: 为了解决复杂的多模态过程故障检测问题,提出了邻域保持嵌入-加权k近邻规则(neighborhood preserving embedding-weighted k-nearest neighbors,NPE-wkNN)质量监控方法.首先,利用邻域保持嵌入(neighborhood preserving embedding,NPE)得到特征空间中数据的流形结构;然后,在特征空间中确定每个样本第k近邻的前K近邻集并计算样本的权重.最后,将样本的加权距离作为统计量对过程进行质量监控.NPE-wkNN方法在保持原始数据近邻结构的同时降低了计算复杂度,除此之外,权重规则消除了数据的多模态特征,从而提高了过程故障检测率.通过数值实例和半导体蚀刻工艺仿真实验,对比了传统的主元分析(principal component analysis,PCA)、NPE、k近邻(k-nearest neighbor,kNN)、加权k近邻(weighted kNN,wkNN)等方法,结果验证了本文方法的有效性.

     

    Abstract: In this study, we propose a fault detection method based on the neighborhood preserving embedding-weighted k-nearest neighbors (NPE-wkNN) method to solve complex multimodal process fault detection problems. First, we obtain the manifold structure of data in the feature space using neighborhood-preserving embedding (NPE). Second, we determine the k-nearest neighbor (kNN) set for the K-th nearest neighbor of each sample and calculate the weight of the sample in the feature space. Finally, the weight distances of samples are considered to be the statistics required formonitoring the process quality. The NPE-wkNN method reduces the computational complexity while maintaining the neighbor structure of raw data. Furthermore, the weighted method eliminates the multimodal characteristics of data and improves the fault detection rate of the process when compared with those observed in case of traditional principal component analysis, NPE, kNN, weighted k-nearest neighbor (wkNN) and other methods. The results of the numerical examples and semiconductor etching process can be used to verify the effectiveness of the proposed method.

     

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