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Theoretical Analysis and Parameter Setting of Hopfield Neural Networks

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Book cover Advances in Neural Networks – ISNN 2005 (ISNN 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3496))

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Abstract

This paper analyzes the behavior of Hopfield networks as a method of solving the travelling salesman problem (TSP) with an enhanced formulation of energy function, which is more available than the Hopfield-Tank (H-T) one. The analysis is based on the geometry of the subspace set up by the degenerate eigenvalues of the connection matrix. A set of criterion for parameter settings is derived. The new parameters performed well in the simulations.

This work was supported by National Science Foundation of China under Grant 60471055 and Specialized Research Fund for the Doctoral Program of Higher Education under Grant 20040614017.

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References

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Author information

Authors and Affiliations

  1. School of Computer Science and Engineering, University of Electronic Science and Technology of China, Chengdu, 610054, China

    Hong Qu, Zhang Yi & XiaoLin Xiang

Authors
  1. Hong Qu
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  2. Zhang Yi
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  3. XiaoLin Xiang
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Editor information

Editors and Affiliations

  1. Department of Mechanical and Automation Engineering, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong, China

    Jun Wang

  2. The Key Laboratory of Optoelectric Technology & Systems, Ministry of Education, China

    Xiaofeng Liao

  3. Computational Intelligence Laboratory, School of Computer Science and Engineering, University of Electronic Science and Technology of China, 610054, Chengdu, P.R. China

    Zhang Yi

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© 2005 Springer-Verlag Berlin Heidelberg

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Qu, H., Yi, Z., Xiang, X. (2005). Theoretical Analysis and Parameter Setting of Hopfield Neural Networks. In: Wang, J., Liao, X., Yi, Z. (eds) Advances in Neural Networks – ISNN 2005. ISNN 2005. Lecture Notes in Computer Science, vol 3496. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11427391_118

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  • DOI: https://doi.org/10.1007/11427391_118

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-25912-1

  • Online ISBN: 978-3-540-32065-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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