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An Exactly Solvable Asymmetric Neural Network Model

1987; Institute of Physics; Volume: 4; Issue: 2 Linguagem: Inglês

10.1209/0295-5075/4/2/007

1286-4854

Bernard Derrida, E. Gardner, Alfred Zippelius,

Neural Networks and Reservoir Computing

We consider a diluted and nonsymmetric version of the Little-Hopfield model which can be solved exactly. We obtain the analytic expression of the evolution of one configuration having a finite overlap on one stored pattern. We show that even when the system remembers, two different configurations which remain close to the same pattern never become identical. Lastly, we show that when two stored patterns are correlated, there exists a regime for which the system remembers these patterns without being able to distinguish them.