کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
976555 933138 2008 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Transient dynamics of sparsely connected Hopfield neural networks with arbitrary degree distributions
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Transient dynamics of sparsely connected Hopfield neural networks with arbitrary degree distributions
چکیده انگلیسی

Using probabilistic approach, the transient dynamics of sparsely connected Hopfield neural networks is studied for arbitrary degree distributions. A recursive scheme is developed to determine the time evolution of overlap parameters. As illustrative examples, the explicit calculations of dynamics for networks with binomial, power-law, and uniform degree distribution are performed. The results are good agreement with the extensive numerical simulations. It indicates that with the same average degree, there is a gradual improvement of network performance with increasing sharpness of its degree distribution, and the most efficient degree distribution for global storage of patterns is the delta function.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 387, Issue 4, 1 February 2008, Pages 1009–1015
نویسندگان
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