Research Output
Approximation of chaotic shapes with tree-structured neural networks
  The approximation of highly irregular decision regions is a challenging problem in pattern recognition and classification. Existing neural networks require many neurons for approximating irregular decision regions. A new tree-structured neural network algorithm is proposed that does not suffer from this limitation. The network approximates irregular regions parsimoniously by using receptive fields having a special overlapping structure The performance of the proposed network is evaluated on an approximation task involving a highly irregular decision region defined by the Mandelbrot set. The results show that the tree-structured neural network approximates decision regions much more parsimoniously than Kohonen and reduced Coulomb-potential networks.

  • Date:

    31 December 1999

  • Publication Status:

    Published

  • DOI:

    10.1109/IJCNN.1999.831056

  • Funders:

    Historic Funder (pre-Worktribe)

Citation

Andras, P. (1999). Approximation of chaotic shapes with tree-structured neural networks. In IJCNN'99: International Joint Conference on Neural Networks, Proceedings (817-820). https://doi.org/10.1109/IJCNN.1999.831056

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