【摘要】 基于埃尔米特正交多项式,文章提出了向量形式的广义埃尔米特多项式,并由此衍生出一类新的核函数——埃尔米特核函数.该类核函数最大的优势在于其参数仅在自然数中取值,能大大缩短参数优化时间.在鲁棒性与泛化性能方面,文章在双螺旋集和标准UCI数据集上与常用的核函数(多项式核、高斯径向基核等)做了对比试验.更多还原

【Abstract】 A new set of kernel functions were derived from the generalized Hemite polynomial which is put forth based on Hemite polynomial.Because the presented kernel has only one parameter choosed from natural number,the parameter optimization is facilitated greatly.The performance and robustness of the presented kernel and commonly used kernel(polynomial kernel and Radial Basis Function etc.) are investigated on bi-spiral benchmark data set as well as five data sets from the UCI benchmark repository.更多还原