The high-order Boltzmann machine: learned distribution and topology

  • Authors:

  • F. X. Albizuri;A. Danjou;M. Grana;J. Torrealdea;M. C. Hernandez

  • Affiliations:

  • Dept. of Comput. Sci. & Artificial Intelligence, Univ. of the Basque Country, San Sebastian;-;-;-;-

  • Venue:
  • IEEE Transactions on Neural Networks
  • Year:
  • 1995

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Abstract

In this paper we give a formal definition of the high-order Boltzmann machine (BM), and extend the well-known results on the convergence of the learning algorithm of the two-order BM. From the Bahadur-Lazarsfeld expansion we characterize the probability distribution learned by the high order BM. Likewise a criterion is given to establish the topology of the BM depending on the significant correlations of the particular probability distribution to be learned