Improved Learning Algorithms of SLFN for Approximating Periodic Function

  • Authors:
  • Fei Han

  • Affiliations:
  • Hefei Institute of Intelligent Machines, Chinese Academy of Sciences, Hefei, China 230031

  • Venue:
  • ICIC '08 Proceedings of the 4th international conference on Intelligent Computing: Advanced Intelligent Computing Theories and Applications - with Aspects of Artificial Intelligence
  • Year:
  • 2008

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Abstract

In this paper, three improved Extreme Learning Machines (ELMs) are proposed to approximating periodic function. According to Fourier series expansion theory, the hidden neurons activation functions in the improved ELM are a class of sine and cosine functions. In addition, the improved ELM analytically determines the output weights of neural networks. In theory, the new algorithm tends to provide the best approximation performance at extremely fast learning speed. The proposed ELMs have better approximation accuracies and faster convergence rate than traditional ELM and gradient-based learning algorithms. Finally, experimental results are given to verify the efficiency and effectiveness of the proposed ELMs.