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NN-Based Key-Variable Selection Method for Enhancing Virtual Metrology Accuracy

机译:基于NN的关键变量选择方法,用于提高虚拟计量精度

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摘要

This paper proposes an advanced key-variable selection method, the neural-network-based stepwise selection (NN-based SS) method, which can enhance the conjecture accuracy of the NN-based virtual metrology (VM) algorithms. Multi-regression-based (MR-based) SS method is widely applied in dealing with key-variable selection problems despite the fact that it may not guarantee finding the best model based on its selected variables. However, the variables selected by MR-based SS may be adopted as the initial set of variables for the proposed NN-based SS to reduce the SS process time. The backward elimination and forward selection procedures of the proposed NN-based SS are both performed by the designated NN algorithm used for VM conjecturing. Therefore, the key variables selected by NN-based SS will be more suitable for the said NN-based VM algorithm as far as conjecture accuracy is concerned. The etching process of semiconductor manufacturing is used as the illustrative example to test and verify the merits of the NN-based SS method. One-hidden-layered back-propagation neural networks (BPNN-I) are adopted for establishing the NN models used in the NN-based SS method and the VM conjecture models. Test results show that the NN model created by the selected variables of NN-based SS can achieve better conjecture accuracy than that of MR-based SS. Simple recurrent neural networks and generalized regression neural network are also tested and proved to be able to achieve similar results as those of BPNN-I.
机译:本文提出了一种先进的关键变量选择方法,即基于神经网络的逐步选择(基于NN的SS)方法,可以提高基于NN的虚拟度量(VM)算法的猜想精度。尽管基于多重回归(基于MR)的SS方法可能不能保证根据所选变量找到最佳模型,但该方法仍广泛用于处理关键变量选择问题。但是,可以将基于MR的SS选择的变量用作建议的基于NN的SS的初始变量集,以减少SS处理时间。所提出的基于NN的SS的后向消除和前向选择过程均由用于VM推测的指定NN算法执行。因此,就推测精度而言,由基于NN的SS选择的关键变量将更适合于所述基于NN的VM算法。以半导体制造的蚀刻工艺为例,测试并验证了基于NN的SS方法的优点。采用单层反向传播神经网络(BPNN-I)建立基于NN的SS方法中使用的NN模型和VM猜想模型。测试结果表明,与基于MR的SS相比,基于NN的SS的选定变量创建的NN模型可以实现更好的猜想精度。还测试了简单的递归神经网络和广义回归神经网络,并证明它们能够获得与BPNN-1相似的结果。

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