Synchronously parallel Boltzmann machines : a mathematical model

P.J. Zwietering, E.H.L. Aarts

Research output: Book/ReportBookScientific

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 languageEnglish
Place of PublicationEindhoven
PublisherTechnische Universiteit Eindhoven
Publication statusPublished - 1989
Externally publishedYes

Publication series

NameMemorandum COSOR

Fingerprint

Boltzmann Machine
Mathematical Model
Parallelism
Weighted Sums
Simulated Annealing
Weighting
Markov chain
Maximise
Neural Networks
Dependent
Model

Cite this

Zwietering, P. J., & Aarts, E. H. L. (1989). Synchronously parallel Boltzmann machines : a mathematical model. (Memorandum COSOR). Eindhoven: Technische Universiteit Eindhoven.
Zwietering, P.J. ; Aarts, E.H.L. / Synchronously parallel Boltzmann machines : a mathematical model. Eindhoven : Technische Universiteit Eindhoven, 1989. (Memorandum COSOR).
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Zwietering, PJ & Aarts, EHL 1989, 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.

Eindhoven : Technische Universiteit Eindhoven, 1989. (Memorandum COSOR).

Research output: Book/ReportBookScientific

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Zwietering PJ, Aarts EHL. Synchronously parallel Boltzmann machines : a mathematical model. Eindhoven: Technische Universiteit Eindhoven, 1989. (Memorandum COSOR).