High-symmetry Hopfield-type neural networks
نویسندگان
چکیده
منابع مشابه
Fixed Points of Hopfield Type Neural Networks
The set of the fixed points of the Hopfield type network is under investigation. The connection matrix of the network is constructed according to the Hebb rule from the set of memorized patterns which are treated as distorted copies of the standard-vector. It is found that the dependence of the set of the fixed points on the value of the distortion parameter can be described analytically. The o...
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Hopfield (1984 Proc. Natl Acad. Sci. USA 81 3088–92) showed that the time evolution of a symmetric neural network is a motion in state space that seeks out minima in the system energy (i.e. the limit set of the system). In practice, a neural network is often subject to environmental noise. It is therefore useful and interesting to find out whether the system still approaches some limit set unde...
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This report demonstrates how to use the pseudoinverse learning rule to store patterns and pattern sequences in a Hopfield-type neural network, and briefly discusses the effects of two parameters on the network dynamics.
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In this paper we consider Hopfield-type neural networks systems with piecewise constant argument of generalized type. Sufficient conditions for the existence of a unique equilibrium and a periodic solution are obtained. The stability of these solutions is investigated.
متن کاملHighly Symmetric Neural Networks of Hopfield Type (exact results)
A set of fixed points of the Hopfield type neural network is under investigation. Its connection matrix is constructed with regard to the Hebb rule from a highly symmetric set of the memorized patterns. Depending on the external parameter the analytic description of the fixed points set has been obtained. A set of fixed points of the Hopfield type neural network is under investigation. Its conn...
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ژورنال
عنوان ژورنال: Theoretical and Mathematical Physics
سال: 1999
ISSN: 0040-5779,1573-9333
DOI: 10.1007/bf02557200