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Asymptotic behavior of the magnetization for the perceptron model

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اقرأ أكثر حفظ في قائمتي
  • معلومة اضافية
    • Contributors:
      Tindel, Samy; Departament de Probabilitats (UB); Universitat de Barcelona (UB); Institut Élie Cartan de Nancy (IECN); Institut National de Recherche en Informatique et en Automatique (Inria)-Université Henri Poincaré - Nancy 1 (UHP)-Université Nancy 2-Institut National Polytechnique de Lorraine (INPL)-Centre National de la Recherche Scientifique (CNRS)
    • بيانات النشر:
      Elsevier BV, 2006.
    • الموضوع:
      2006
    • نبذة مختصرة :
      In this paper, we show that, in case of a perceptron model for which the number of outputs is a small proportion of the size of the system, the limiting behavior of the magnetization of a given spin, namely the random variable 〈 σ k 〉 , can be identified. In fact, we prove a L 2 convergence for a collection of those random variables.
    • File Description:
      application/pdf
    • ISSN:
      0246-0203
    • الرقم المعرف:
      10.1016/j.anihpb.2005.04.005
    • Rights:
      OPEN
    • الرقم المعرف:
      edsair.doi.dedup.....2d616fa6da0a94e53366796ce8b7f97c