An improvement of a back propagation algorithm by the extended Kalman filter and demand forecasting by layered neural networks

Aritoshi Kimura, Ikuo Arizono, Hiroshi Ohta

Research output: Contribution to journalArticle

5 Citations (Scopus)


Recently, Watanabe et al. proposed a back propagation algorithm via the extended Kalman filter, in which the learning rate was time-varying. In their algorithm the weights and biases are treated as independent variables. It is, however, natural that the weights and biases are not always independent, and generally have mutual correlation. In this paper, we improve the back propagation algorithm by considering that there is mutual correlation among the weights and bias directly connected to the unit. Through some numerical examples, our improved learning algorithm is compared with Watanabe et al.'s algorithm in learning ability. Furthermore, we consider demand forecasting as a kind of pattern recognition, and propose a demand forecasting method using layered neural networks with the improved learning algorithm. The effectiveness of this demand forecasting method is also discussed through some simulations.

Original languageEnglish
Pages (from-to)473-482
Number of pages10
JournalInternational Journal of Systems Science
Issue number5
Publication statusPublished - 1996
Externally publishedYes


ASJC Scopus subject areas

  • Computational Theory and Mathematics
  • Management Science and Operations Research
  • Control and Systems Engineering
  • Theoretical Computer Science

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