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A global learning algorithm for a RBF network.

Qiuming Zhu1, Yao Cai, Luzheng Liu

  • 1Digital Imaging and Computer Vision Laboratory, University of Nebraska at Omaha, Omaha, USA

Neural Networks : the Official Journal of the International Neural Network Society
|March 29, 2003
PubMed
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This study introduces a novel learning algorithm for Radial Basis Function (RBF) neural networks, enhancing both structure discovery and parameter training through a global maximum likelihood approach for improved pattern recognition.

Area of Science:

  • Machine Learning
  • Artificial Intelligence
  • Neural Networks

Background:

  • Radial Basis Function (RBF) neural networks are powerful tools for pattern recognition.
  • Existing methods often require separate processes for network structure determination and weight training.
  • A unified approach can lead to more efficient and effective network development.

Purpose of the Study:

  • To present a new, integrated learning algorithm for RBF neural network construction and training.
  • To leverage a global parameter learning mechanism based on maximum likelihood classification.
  • To enable the network to discover its structure and determine connection weights simultaneously.

Main Methods:

  • The algorithm employs a global parameter learning mechanism.

Related Experiment Videos

  • It utilizes a maximum likelihood classification approach.
  • The process gradually evolves the network structure and parameters.
  • Main Results:

    • The RBF network neurons partition the pattern space into maximum-size hyper-ellipsoid subspaces.
    • These subspaces are defined by the statistical distributions of training samples.
    • The learning process effectively integrates structure discovery and weight determination.

    Conclusions:

    • The proposed algorithm offers a unified approach to RBF neural network learning.
    • It efficiently determines both network architecture and connection weights.
    • This method facilitates the gradual evolution of the network and its parameters for optimal performance.