title: Characteristics of the Hopfield associative memory utilizing isomorphism relations.
abstract: Isomorphism relations are utilized to analyze the Hopfield associative memory. When the number of fundamental memories m=/<3, it is proved that two Hopfield associative memories are isomorphic if they have the same mutual distances between the fundamental memories. The number of stable states and the synchronous convergence time of a Hopfield associative memory are shown to be less than or equal to 2 to the power 2(m-1) and 4 to the power 2(m-1), respectively, where m>/=1.
authors.affiliation: Inst. of Comput. Sci., Nat. Tsing Hua Univ., Hsinchu.
authors.forename: C Y
authors.initials: CY
authors.lastname: Lee
authors.forename: J S
authors.initials: JS
authors.lastname: Wang
authors.forename: R T
authors.initials: RT
authors.lastname: Lee