Applied Mathematics and Nonlinear Sciences (Jan 2023)

Random Fourier Approximation of the Kernel Function in Programmable Networks

  • Guo Wei,
  • He Yue,
  • Chen Hexiong,
  • Hang Feilu,
  • Zhang Jun,
  • Shorman Samer

DOI
https://doi.org/10.2478/amns.2022.2.0172
Journal volume & issue
Vol. 8, no. 1
pp. 1831 – 1840

Abstract

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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