{"title":"Continuous Boltzmann machines: theoretical aspects and applications","authors":"Valeriu Beiu, D. Ioan, M.C. Dumbrava","doi":"10.1109/CMPEUR.1992.218510","DOIUrl":null,"url":null,"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.<<ETX>>","PeriodicalId":390273,"journal":{"name":"CompEuro 1992 Proceedings Computer Systems and Software Engineering","volume":"371 2","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1992-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"CompEuro 1992 Proceedings Computer Systems and Software Engineering","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CMPEUR.1992.218510","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
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.<>
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