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Some rigorous results on the Hopfield neural network model (1989)

Koch, Hans ; Piasko, Jacques

Springer

Journal of statistical physics 55 (1989), S. 903-928

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ISSN: 1572-9613

Keywords: Neural network ; random interaction ; mean field theory ; critical points

Source: Springer Online Journal Archives 1860-2000

Topics: Physics

Notes: Abstract We analyze the thermal equilibrium distribution of 2 p mean field variables for the Hopfield model withp stored patterns, in the case where 2 p is small compared to the number of spins. In particular, we give a full description of the free energy density in the thermodynamic limit, and of the so-called “symmetric solutions” for the mean field equations.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01041071

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