Continuous Boltzmann Machines - Theoretical Aspects and Applications

Valeriu Beiu; D. C. Ioan; M. C. Dumbrava

doi:10.1109/CMPEUR.1992.218510

Continuous Boltzmann Machines - Theoretical Aspects and Applications

Valeriu Beiu, D. C. Ioan, M. C. Dumbrava

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

An introduction is given to the concept of a continuous Boltzmann machine (CBM) and an application to solve a class of partial differential equations (PDEs) is detailed. After briefly stating the problems, the BM is presented at a conceptual level. The basic ideas are taken to another level, and a fresh concept, CBM, is introduced, with the differences discussed in some detail. As Boltzmann machines have solved hard NP-complete optimization problems, the CBM has been used to solve large systems of elliptic PDEs arising in steady-state physical fields. Numerical results of simulations proved the characteristic features of the CBM.

Original language	English
Title of host publication	Computer Systems and Software Engineering
DOIs	https://doi.org/10.1109/CMPEUR.1992.218510
Publication status	Published - May 4 1992
Event	CompEuro'92 - The Hague, Netherlands Duration: May 4 1992 → …

Conference

Conference	CompEuro'92
Period	5/4/92 → …

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10.1109/CMPEUR.1992.218510

http://ieeexplore.ieee.org/xpl/login.jsp?tp=&arnumber=218510&url=http%3A%2F%2Fieeexplore.ieee.org%2Fstamp%2Fstamp.jsp%3Ftp%3D%26arnumber%3D218510

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title = "Continuous Boltzmann Machines - Theoretical Aspects and Applications",

abstract = "An introduction is given to the concept of a continuous Boltzmann machine (CBM) and an application to solve a class of partial differential equations (PDEs) is detailed. After briefly stating the problems, the BM is presented at a conceptual level. The basic ideas are taken to another level, and a fresh concept, CBM, is introduced, with the differences discussed in some detail. As Boltzmann machines have solved hard NP-complete optimization problems, the CBM has been used to solve large systems of elliptic PDEs arising in steady-state physical fields. Numerical results of simulations proved the characteristic features of the CBM.",

author = "Valeriu Beiu and Ioan, {D. C.} and Dumbrava, {M. C.}",

year = "1992",

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doi = "10.1109/CMPEUR.1992.218510",

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T1 - Continuous Boltzmann Machines - Theoretical Aspects and Applications

AU - Beiu, Valeriu

AU - Ioan, D. C.

AU - Dumbrava, M. C.

PY - 1992/5/4

Y1 - 1992/5/4

N2 - An introduction is given to the concept of a continuous Boltzmann machine (CBM) and an application to solve a class of partial differential equations (PDEs) is detailed. After briefly stating the problems, the BM is presented at a conceptual level. The basic ideas are taken to another level, and a fresh concept, CBM, is introduced, with the differences discussed in some detail. As Boltzmann machines have solved hard NP-complete optimization problems, the CBM has been used to solve large systems of elliptic PDEs arising in steady-state physical fields. Numerical results of simulations proved the characteristic features of the CBM.

AB - An introduction is given to the concept of a continuous Boltzmann machine (CBM) and an application to solve a class of partial differential equations (PDEs) is detailed. After briefly stating the problems, the BM is presented at a conceptual level. The basic ideas are taken to another level, and a fresh concept, CBM, is introduced, with the differences discussed in some detail. As Boltzmann machines have solved hard NP-complete optimization problems, the CBM has been used to solve large systems of elliptic PDEs arising in steady-state physical fields. Numerical results of simulations proved the characteristic features of the CBM.

U2 - 10.1109/CMPEUR.1992.218510

DO - 10.1109/CMPEUR.1992.218510

M3 - Conference contribution

SN - 0-8186-2760-3

BT - Computer Systems and Software Engineering

T2 - CompEuro'92

Y2 - 4 May 1992

ER -

Continuous Boltzmann Machines - Theoretical Aspects and Applications

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