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Related Experiment Videos

On-line EM algorithm for the normalized gaussian network.

M Sato1, S Ishii

  • 1ATR Human Information Processing Research Laboratories, 2-2 Hikaridai, Seika-cho, Soraku-gun, Kyoto 619-0288, Japan.

Neural Computation
|January 15, 2000
PubMed
Summary
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This study introduces an online EM algorithm for normalized Gaussian networks (NGnets). This method efficiently handles dynamic environments and complex function approximation tasks.

Area of Science:

  • Machine Learning
  • Artificial Intelligence
  • Computational Statistics

Background:

  • Normalized Gaussian Networks (NGnets) offer a powerful approach for function approximation by partitioning input spaces with local linear regression units.
  • Existing batch Expectation-Maximization (EM) algorithms can be computationally intensive, especially in dynamic environments.

Purpose of the Study:

  • To develop an efficient on-line EM algorithm for NGnets adaptable to dynamic environments.
  • To enhance the robustness of NGnets against singular input distributions.
  • To enable dynamic adaptation of network structure through unit manipulation.

Main Methods:

  • Derivation of an on-line EM algorithm from the batch EM algorithm using a discount factor.
  • Introduction of a regularization method to handle singular input distributions.

Related Experiment Videos

  • Implementation of unit manipulation mechanisms (production, deletion, division) for dynamic environment adaptation.
  • Main Results:

    • The proposed on-line EM algorithm is shown to be equivalent to the batch EM algorithm under specific discount factor scheduling.
    • The algorithm functions as a stochastic approximation method for maximum likelihood estimation.
    • Experimental results demonstrate suitability for function approximation in dynamic environments and effective application to robot dynamics problems.

    Conclusions:

    • The developed on-line EM algorithm provides an efficient and adaptive solution for NGnets in dynamic environments.
    • The regularization and unit manipulation mechanisms enhance the algorithm's robustness and flexibility.
    • The approach shows promise for real-world applications like robot dynamics, outperforming existing methods in comparative analyses.