<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</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.

AtanK-A New SVM Kernel for Classification

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

{"article-title":"AtanK-A New SVM Kernel for Classification"}

The efficiency of support vector machine in practice is closely related to the optimal selection of kernel functions and their hyper-parameters. A novel...

AtanK-A New SVM Kernel for Classification

Published Online: Dec 31, 2021

Page range: 135 - 146

Received: Sep 04, 2020

Accepted: Sep 27, 2021

DOI: https://doi.org/10.2478/amns.2021.1.00092

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

© 2023 Meng Tian et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

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AtanK-A New SVM Kernel for Classification

Published Online: Dec 31, 2021

Page range: 135 - 146

Received: Sep 04, 2020

Accepted: Sep 27, 2021

DOI: https://doi.org/10.2478/amns.2021.1.00092

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

© 2023 Meng Tian et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Fig. 1

Fig. 2

Fig. 3

Fig. 4

Fig. 5

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