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Constructive neural networks with piecewise interpolation capabilities for function approximations.

C H Choi1, J Y Choi

  • 1Dept. of Control and Instrum. Eng., Seoul Nat. Univ.

IEEE Transactions on Neural Networks
|January 1, 1994
PubMed
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This study introduces a novel constructive neural network using space tessellation for function approximation. This approach enhances training efficiency and data generalization capabilities.

Area of Science:

  • Artificial Intelligence
  • Machine Learning
  • Neural Networks

Background:

  • Approximating continuous functions is a fundamental challenge in machine learning.
  • Standard neural networks can face difficulties with training time and local minima.
  • Improving generalization for new data is crucial for practical applications.

Purpose of the Study:

  • To propose a constructive neural network with local interpolation capabilities.
  • To leverage space tessellation for function approximation.
  • To enhance training efficiency and generalization performance.

Main Methods:

  • Devised a neural network using space tessellation with nonoverlapping hyperpolyhedral convex cells.
  • Introduced neural network granules (NNGs) processed in parallel for local mapping.

Related Experiment Videos

  • Calculated plastic weights within NNGs for training data implementation.
  • Main Results:

    • The proposed network demonstrates piecewise linear or nonlinear local interpolation.
    • Reduced training time and alleviated local minima issues.
    • Improved generalization for new data within convex cells.

    Conclusions:

    • The constructive neural network effectively approximates continuous functions.
    • The tessellation-based approach offers advantages in training and generalization.
    • While increasing network size, parallel architecture maintains retrieval response speed.