IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v368y2006i2p311-325.html
   My bibliography  Save this article

Synchronous versus sequential updating in the three-state Ising neural network with variable dilution

Author

Listed:
  • Bollé, D.
  • Erichsen, R.
  • Verbeiren, T.

Abstract

The Q=3-state Ising neural network with synchronous updating and variable dilution is discussed starting from the appropriate Hamiltonians. The thermodynamic and retrieval properties are examined using replica mean-field theory. The appearance and properties of two-cycles are discussed. Capacity–temperature phase diagrams are derived for several values of the pattern activity and different gradations of dilution, and the information content is calculated. It is found that the asymptotic behaviour is rather similar to that for sequential updating. The retrieval region is enhanced marginally, but the spin-glass region is visibly enlarged. Only the presence of self-coupling can enlarge the retrieval region substantially. The dynamics of the network is studied for general Q and both synchronous and sequential updating using an extension of the generating function technique. The differences with the signal-to-noise approach are outlined. Typical flow diagrams for the Q=3 overlap order parameter are presented.

Suggested Citation

  • Bollé, D. & Erichsen, R. & Verbeiren, T., 2006. "Synchronous versus sequential updating in the three-state Ising neural network with variable dilution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 368(2), pages 311-325.
    • Handle: RePEc:eee:phsmap:v:368:y:2006:i:2:p:311-325
    DOI: 10.1016/j.physa.2005.12.052
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437106000343
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2005.12.052?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:368:y:2006:i:2:p:311-325. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.