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Phys Rev E Stat Nonlin Soft Matter Phys
April 2012
Center of Optical Neural Technologies of Scientific Research Institute for System Analysis, Russian Academy of Sciences, Vavilova str. 44-2, Moscow 119333, Russia.
We generalize the standard Hopfield model to the case when a weight is assigned to each input pattern. The weight can be interpreted as the frequency of the pattern occurrence at the input of the network. In the framework of the statistical physics approach we obtain the saddle-point equation allowing us to examine the memory of the network.
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