Applied Mathematics and Nonlinear Sciences
Journal license

Journal

Applied Mathematics and Nonlinear Sciences


Volume
& Issue

Volume 6, Issue 1


Published
on

December 31, 2021


Pages

135-146


DOI

Article

AtanK-A New SVM Kernel for Classification

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Authors

Meng Tian Affiliation:
School of Mathematics and Statistics, Shandong University of Technology, Zibo 255049, PR China
and Hongkui Li Affiliation:
School of Mathematics and Statistics, Shandong University of Technology, Zibo 255049, PR China


Abstract

The efficiency of support vector machine in practice is closely related to the optimal selection of kernel functions and their hyper-parameters. A novel kernel, namely the arctangent kernel, is proposed in this paper. Compared with the Gaussian kernel, the new proposed kernel has a quick similarity descent in the neighborhood of the inspection sample and a moderate similarity descent toward the infinity of the inspection sample. The experimental results on two simulated data sets and some UCI data sets show that the new proposed kernel function has better effectiveness and robustness compared with the polynomial kernel, the Gaussian kernel, the exponential radial basis function, and the former proposed kernel with moderate decreasing.


Keywords

Arctangent kernel, Classification, Generalization, Kernel function, Support vector machine


Citation

Tian, M. & Li, H. (2021). Atank-a new SVM kernel for classification. Applied Mathematics and Nonlinear Sciences, 6(1), 135–146. https://doi.org/10.2478/amns.2021.1.00092

Published by: Engineering Journals

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