Equivalence of the Ashkin-Teller and the four-state Potts-glass models of neural networks

D. Bollé, Piotr Kozłowski · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 2001

We show that for a particular choice of the coupling parameters the Ashkin-Teller spin-glass neural network model with the Hebb learning rule and one condensed pattern yields the same thermodynamic properties as the four-state anisotropic Potts-glass neural network model. This equivalence is not seen at the level of the Hamiltonians.

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