### Abstract

A mathematical model is presented for the description of synchronously parallel Boltzmann machines. The model is based on the theory of Markov chains and combines a number of previously known results into one generic model. It is argued that synchronously parallel Boltzmann machines maximize a function consisting of a weighted sum of the well-known consensus function and a pseudo consensus function. The weighting is determined by the amount of parallelism exploited in the Boltzmann machine and turns out to be problem dependent. Keywords: Boltzmann machines, neural networks, synchronous parallelism, simulated annealing.

Original language | English |
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Place of Publication | Eindhoven |

Publisher | Technische Universiteit Eindhoven |

Publication status | Published - 1989 |

Externally published | Yes |

### Publication series

Name | Memorandum COSOR |
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## Cite this

Zwietering, P. J., & Aarts, E. H. L. (1989).

*Synchronously parallel Boltzmann machines : a mathematical model*. (Memorandum COSOR). Technische Universiteit Eindhoven.