Title :
Continuous Boltzmann machines: theoretical aspects and applications
Author :
Beiu, V. ; Ioan, D.C. ; Dumbrava, M.C.
Author_Institution :
Dept. Elektrotechniek, Katholieke Univ. Leuven, Heverlee, Belgium
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.<>
Keywords :
Boltzmann machines; computational complexity; mathematics computing; partial differential equations; CBM; characteristic features; conceptual level; continuous Boltzmann machine; elliptic PDEs; hard NP-complete optimization problems; partial differential equations; steady-state physical fields; Biological neural networks; Logic; Numerical simulation; Partial differential equations; Q measurement; Random number generation; Simulated annealing; Steady-state; Stochastic processes; Temperature distribution;
Conference_Titel :
CompEuro '92 . 'Computer Systems and Software Engineering',Proceedings.
Conference_Location :
The Hague, Netherlands
Print_ISBN :
0-8186-2760-3
DOI :
10.1109/CMPEUR.1992.218510
