### Abstract

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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### Fingerprint

### Cite this

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

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

**Synchronously parallel Boltzmann machines : a mathematical model.** / Zwietering, P.J.; Aarts, E.H.L.

Research output: Book/Report › Book › Scientific

TY - BOOK

T1 - Synchronously parallel Boltzmann machines : a mathematical model

AU - Zwietering, P.J.

AU - Aarts, E.H.L.

PY - 1989

Y1 - 1989

N2 - 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.

AB - 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.

M3 - Book

T3 - Memorandum COSOR

BT - Synchronously parallel Boltzmann machines : a mathematical model

PB - Technische Universiteit Eindhoven

CY - Eindhoven

ER -