• DocumentCode
    1144021
  • Title

    Beyond the binary Boltzmann machine

  • Author

    Anderson, N.H. ; Titterington, D.M.

  • Author_Institution
    Dept. of Stat., Glasgow Univ., UK
  • Volume
    6
  • Issue
    5
  • fYear
    1995
  • fDate
    9/1/1995 12:00:00 AM
  • Firstpage
    1229
  • Lastpage
    1236
  • Abstract
    The definition of the usual Boltzmann machine is extended to allow for neurons with polytomous (multicategory) rather than simply binary responses. Updating rules are defined along with the associated stationary distributions, and an alternating minimization method is described for the purposes of training. Emphasis is placed on the relevance of statistical ideas, including polytomous logistic regression, the iterative proportional fitting procedure and the EM algorithm
  • Keywords
    Boltzmann machines; iterative methods; minimisation; recurrent neural nets; statistical analysis; EM algorithm; alternating minimization method; binary Boltzmann machine; iterative proportional fitting procedure; polytomous logistic regression; polytomous responses; Information geometry; Iterative algorithms; Logistics; Minimization methods; Neurons; Probability distribution; State-space methods; Statistics; Stochastic processes; Terminology;
  • fLanguage
    English
  • Journal_Title
    Neural Networks, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1045-9227
  • Type

    jour

  • DOI
    10.1109/72.410364
  • Filename
    410364