Physical Fields Determination Using Continuous Boltzmann Machines

Valeriu Beiu, Daniel C. Ioan, Mihaela C. Dumbrava, Oreste Robciuc

    Research output: Chapter in Book/Report/Conference proceedingConference contribution


    Introduces the concept of a continuous Boltzmann machine and details an application to solve a class of partial differential equations. The digital Boltzmann machine is briefly presented at a conceptual level. Its basic ideas are then taken to another level, and a fresh concept is introduced; `continuous Boltzmann machines', with the differences discussed in some detail. Because Boltzmann machines have proven useful for hard (NP-complete) optimization problems, the continuous Boltzmann machine has been used to solve a difficult problem: large systems of elliptic partial differential equations which arise in the case of steady-state physical fields. Numerical results of computer simulations demonstrate the characteristic features of the continuous Boltzmann machine.
    Original languageEnglish
    Title of host publicationInternational Symposium Applied Informatics
    Publication statusPublished - Feb 10 1992
    EventIASTED'92 - Innsbruck, Austria
    Duration: Feb 10 1992 → …


    Period2/10/92 → …


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