Decreasing energy functions as a tool for studying threshold networks

Eric Goles-Chacc, Françoise Fogelman-Soulie, Didier Pellegrin

Research output: Contribution to journalArticlepeer-review

174 Scopus citations

Abstract

Block sequential iterations of threshold networks are studied through the use of a monotonic operator, analogous to the spin glass energy. This allows to characterize the dynamics: transient and fixed points. We then extend this method to networks of generalized majority functions and spin glasses.

Original languageEnglish
Pages (from-to)261-277
Number of pages17
JournalDiscrete Applied Mathematics
Volume12
Issue number3
DOIs
StatePublished - Nov 1985
Externally publishedYes

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