Neural networks and the solution of nonlinear equations

Ido Kanter, Eli Eisenstein

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

The statistical nature of the real solutions of a set of ±N random nonlinear equations constructed from N variables is examined, using analytical methods developed for neural networks. The nonlinearity of the equations is characterized by powers of the variables. The maximal ± under which the equations have a real solution is found for various cases. The application of the results to physical systems is also discussed.

Original languageEnglish
Pages (from-to)520-523
Number of pages4
JournalPhysical Review Letters
Volume65
Issue number4
DOIs
StatePublished - 1990

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