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Hopfield network
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== Initialization and running == Initialization of the Hopfield networks is done by setting the values of the units to the desired start pattern. Repeated updates are then performed until the network converges to an attractor pattern. Convergence is generally assured, as Hopfield proved that the attractors of this [[nonlinear dynamical system]] are stable, not periodic or chaotic as in some other systems.{{citation needed|date=July 2019}} Therefore, in the context of Hopfield networks, an attractor pattern is a final stable state, a pattern that cannot change any value within it under updating.{{citation needed|date=July 2019}}
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