Fixed Points of Hopfield Type Neural Networks

Physics – Condensed Matter – Disordered Systems and Neural Networks

Scientific paper

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Details

RevTEX, 19 pages, 2 Postscript figures, the full version of the earler brief report (cond-mat/9901251)

Scientific paper

10.1007/BF02557200

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 obtained results are interpreted in the terms of neural networks and the Ising model.

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