%0 Journal Article
%T 基于改进的Askey-Wilson多项式核函数<br>Based on Improved Askey-Wilson Polynomial Kernel Function
%A 张莆华
%A 闫焱
%J Advances in Applied Mathematics
%P 3246-3252
%@ 2324-8009
%D 2022
%I Hans Publishing
%R 10.12677/AAM.2022.116344
%X 基于Askey-Wilson多项式的性质，给出了两种Askey-Wilson多项式形式，分别与Rbf核函数和三角核函数进行组合，构造混合支持向量机AW核函数。所构造的AW核函数都含有一个重要核参数q，可通过改变q值来调整核函数。实验选取双螺线及6个UCI数据集，比较AW核函数在数据集上的泛化性能和鲁棒性。<br />
Based on the properties of Askey-Wilson polynomials, two forms of Askey-Wilson polynomials are given, which are combined with Rbf kernel function and triangular kernel function respectively to construct a hybrid support vector machine AW kernel function. The constructed AW kernel func-tions all contain an important kernel parameter q, which can be adjusted by changing the q value. The experiment selects the double helix and 6 UCI datasets to compare the generalization perfor-mance and robustness of the AW kernel function on the datasets.
%K Askey-Wilson多项式，三角核函数，Rbf核函数<br>Askey-Wilson Polynomial
%K Trigonometric Kernel Function
%K Rbf Kernel Function
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=52321