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Reducing overfitting in manufacturing process modeling using a backward elimination based genetic programming

机译:使用基于后向消除的遗传规划减少制造过程建模中的过拟合

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摘要

Genetic programming (GP) has demonstrated as an effective approach in polynomial modeling of manufacturing processes. However, polynomial models with redundant terms generated by GP may depict overfitting, while the developed models have good accuracy on trained data sets but relatively poor accuracy on testing data sets. In the literature, approaches of avoiding overfitting in GP are handled by limiting the number of terms in polynomial models. However, those approaches cannot guarantee terms in polynomial models produced by GP are statistically significant to manufacturing processes. In this paper, a statistical method, backward elimination (BE), is proposed to incorporate with GP, in order to eliminate insignificant terms in polynomial models. The performance of the proposed GP has been evaluated by modeling three real-world manufacturing processes, epoxy dispenser for electronic packaging, solder paste dispenser for electronic manufacturing, and punch press system for leadframe downset in IC packaging. Empirical results show that insignificant terms in the polynomial models can be eliminated by the proposed GP and also the polynomial models generated by the proposed GP can achieve results with better predictions than the other commonly used existent methods, which are commonly used in GP for avoiding overfitting in polynomial modeling.
机译:遗传编程(GP)已被证明是制造过程多项式建模的有效方法。但是,由GP生成的具有冗余项的多项式模型可能会描述过度拟合,而开发的模型在经过训练的数据集上具有良好的准确性,而在测试数据集上则具有较差的准确性。在文献中,通过限制多项式模型中项的数量来处理避免在GP中过度拟合的方法。但是,这些方法不能保证GP生成的多项式模型中的项对制造过程具有统计意义。为了消除多项式模型中的无关紧要的术语,本文提出了一种统计方法,即向后消除(BE),该方法与GP结合使用。拟议的GP的性能已通过对三个实际制造过程进行建模,电子包装用环氧树脂分配器,电子制造用锡膏分配器以及IC封装中引线框缩孔的冲压系统进行了评估。实证结果表明,所提出的GP可以消除多项式模型中的无关紧要的项,并且所提出的GP生成的多项式模型可以比其他通常使用的现有方法更好地预测结果,而其他常用方法则可以避免过度拟合在多项式建模中。

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