Kernel function, the centrepiece of Support Vector Machine (SVM), is classified into local kernel function and global kernel function. The features of the local and global kernel functions can be demonstrated all at once in a combined kernel function. This paper analyses the local capability of SVM kernel function through comparative analysis. Specifically, the local capability of combined kernel function was defined and analysed for the first time; the local capability features of typical kernel functions and combined kernel function were detailed and compared with each other. Finally, the correctness and rationality of the analysis was verified through simulation.
Local capability, Combined kernel function, Local kernel function, Global kernel function, Support Vector Machine (SVM)
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