This paper presented a new set of kernel function-Legendre kernel function based on Legendre polynomial. The performance and robustness of the presented kernel were investigated on bi-spiral benchmark data set as well as five data sets from the UCI benchmark repository. The experiment results demonstrate that the presented kernel has competitive robust and generalization performance compared with commonly used kernel functions (polynomial kernel and Radial Basis Function etc. ). Moreover, the Legendre kernel has one parameter which is only chosen from natural number, thus parameter optimization is facilitated greatly.%基于勒让德正交多项式,提出了一类新的核函数——勒让德核函数.在双螺旋集和标准UCI数据集上的实验表明,在鲁棒性与泛化性能方面,该核函数比常用的核函数(多项式核、高斯径向基核等)具有更好的表现,而且其参数仅在自然数中取值,能大大缩短参数优化时间.
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