• DocumentCode
    1092893
  • Title

    Characteristics of the Hopfield associative memory utilizing isomorphism relations

  • Author

    Lee, C.Y. ; Wang, J.S. ; Lee, R.C.T.

  • Author_Institution
    Inst. of Comput. Sci., Nat. Tsing Hua Univ., Hsinchu, Taiwan
  • Volume
    5
  • Issue
    3
  • fYear
    1994
  • fDate
    5/1/1994 12:00:00 AM
  • Firstpage
    523
  • Lastpage
    526
  • 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 2m-1 and 4 to the power 2m-1, respectively, where m⩾1
  • Keywords
    Hopfield neural nets; content-addressable storage; Hopfield associative memory; fundamental memories; isomorphism relations; synchronous convergence time; Artificial intelligence; Associative memory; Computer science; Convergence; Hopfield neural networks; Hydrogen; Hypercubes; Neural networks; State-space methods; Upper bound;
  • fLanguage
    English
  • Journal_Title
    Neural Networks, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1045-9227
  • Type

    jour

  • DOI
    10.1109/72.286932
  • Filename
    286932