Applied Mathematics and Nonlinear Sciences
Journal license

Journal

Applied Mathematics and Nonlinear Sciences


Volume
& Issue

Volume 7, Issue 2


Published
on

July 15, 2022


Pages

1831-1840


DOI

Article

Random Fourier Approximation of the Kernel Function in Programmable Networks


Authors

Wei Guo Affiliation:
Information Center, Yunnan Power Grid Co., Ltd., Kunming, 650000, China
, Yue He Affiliation:
Information Center, Yunnan Power Grid Co., Ltd., Kunming, 650000, China
, Hexiong Chen Affiliation:
Information Center, Yunnan Power Grid Co., Ltd., Kunming, 650000, China
, Feilu Hang Affiliation:
Information Center, Yunnan Power Grid Co., Ltd., Kunming, 650000, China
, Jun Zhang Affiliation:
Department of Technical Development, Sichuan Wiscred Communication Co. Ltd., Chengdu, 610043, China
and Samer Shorman Affiliation:
College of Arts & Science, Applied Science University, Bahrain


Abstract

Random Fourier features represent one of the most influential and wide-spread techniques in machine learning to scale up kernel algorithms. As the methods based on random Fourier approximation of the kernel function can overcome the shortcomings of machine learning methods that require a large number of labeled sample, it is effective to be applied to the practical areas where samples are difficult to obtain. Network traffic forwarding policy making is one such practical application, and it is widely concerned in the programmable networks. With the advantages of kernel techniques and random Fourier features, this paper proposes an application of network traffic forwarding policy making method based on random Fourier approximation of kernel function in programmable networks to realize traffic forwarding policy making to improve the security of networks. The core of the method is to map traffic forwarding features to Hilbert high-dimensional space through random Fourier transform, and then uses the principle of maximum interval to detect adversarial samples. Compared with the traditional kernel function method, it improves the algorithm efficiency from square efficiency to linear efficiency. The AUC on the data set from real-world network reached 0.9984, showing that the method proposed can realize traffic forwarding policy making effectively to improve the security of programmable networks.


Keywords

random Fourier features, kernel function, programmable networks, SDN, P4, traffic forwarding policy making, 68M10, 68M15


Citation

Guo, W., He, Y., Chen, H., Hang, F., Zhang, J., & Shorman, S. (2022). Random fourier approximation of the kernel function in programmable networks. Applied Mathematics and Nonlinear Sciences, 7(2), 1831–1840. https://doi.org/10.2478/amns.2022.2.0172

Published by: Engineering Journals

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