Sensitivity Analysis of SVM Kernel Functions in Machinery Condition Classification

Nipuna Rajapaksha, S. Jayasinghe, H. Enshaei, N. Jayarathne
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Abstract

The excellent generalisation ability of the Support Vector Machine (SVM) algorithm has made it one of the most popular statistical learning theories in supervised machine learning. The classification accuracy and effectiveness of SVM is highly sensitive to the kernel function used during the training process. This paper compares linear, polynomial, and Gaussian kernel functions for evaluating their contribution to SVM for accurately and effectively classifying healthy and faulty status of rotating machinery. A three-phase induction motor and a four-stroke diesel engine were considered as the machinery for this study. Acoustic signals coming from these machines were collected using microphones and Fast Fourier Transform (FFT) was used to extract the magnitudes of the dominant frequency components of the signals. The extracted ominant frequency components are considered as acoustic signatures and their variations are taken as condition monitoring parameters. The results show that with the second-order polynomial kernel function, SVM achieved an accuracy of at least 2.4% greater than the other kernel functions with 1.2% less training time. Furthermore, the third-order polynomial kernel function found to be the second best choice.
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SVM核函数在机械状态分类中的敏感性分析
支持向量机(SVM)算法具有良好的泛化能力,是监督机器学习中最受欢迎的统计学习理论之一。支持向量机的分类精度和有效性对训练过程中使用的核函数高度敏感。本文比较了线性核函数、多项式核函数和高斯核函数对支持向量机准确有效地分类旋转机械健康和故障状态的贡献。采用三相感应电动机和四冲程柴油机作为本研究的机械装置。使用麦克风收集来自这些机器的声信号,并使用快速傅里叶变换(FFT)提取信号的主要频率分量的幅度。提取的主频率分量作为声特征,其变化作为状态监测参数。结果表明,使用二阶多项式核函数时,SVM的准确率比其他核函数至少提高2.4%,训练时间减少1.2%。此外,发现三阶多项式核函数是次优选择。
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