Application of Support Vector Machine in uncertainty Evaluation of geometric tolerance Measurement

Kecheng Zhang, Wei Zhang, Guo Cheng, Siyuan Liu
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引用次数: 0

Abstract

For some measured data with unknown distribution, when it is difficult to estimate the probability distribution and uncertainty of the measured results, based on a small amount of existing data, the probability density of the measured data is obtained based on the support vector machine method, and the standard uncertainty is calculated by random sampling with the obtained probability density distribution. The simulation results show that the "support vector" of Support Vector Machine(SVM) method is suitable for small sample data, and the accuracy of the optimal estimation and variance obtained on this basis is proved. Finally, taking the bearing roundness as the experimental object, the measurement uncertainty is calculated by the above method and compared with the results calculated by Monte Carlo method, which verifies the reliability and accuracy of the method.
支持向量机在几何公差测量不确定度评定中的应用
对于一些分布未知的测量数据,当难以估计测量结果的概率分布和不确定度时,基于少量现有数据,基于支持向量机方法获得测量数据的概率密度,并利用得到的概率密度分布随机抽样计算标准不确定度。仿真结果表明,支持向量机(SVM)方法的“支持向量”适用于小样本数据,并证明了在此基础上得到的最优估计和方差的准确性。最后,以轴承圆度为实验对象,采用上述方法计算测量不确定度,并与蒙特卡罗法计算结果进行比较,验证了该方法的可靠性和准确性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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