基于改进的Askey-Wilson多项式核函数  

Based on Improved Askey-Wilson Polynomial Kernel Function

作　　者：张莆华 闫焱 

机构地区：[1]华北理工大学理学院,河北 唐山

出　　处：《应用数学进展》2022年第6期3246-3252,共7页Advances in Applied Mathematics

摘　　要：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。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.

关 键 词：Askey-Wilson多项式 三角核函数 Rbf核函数 

分 类 号：O174[理学—数学]