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

Details On the equivalence of the Ashkin-Teller and the four-state Potts-glass models of neural networks On the equivalence of the Ashkin-Teller and the four-state Potts-glass models of neural networks

2001-03-28

arxiv.org/abs/cond-mat/0103585v2

Phys. Rev. E 64, 067102 (2001)

Physics

Condensed Matter

Disordered Systems and Neural Networks

3 pages, revtex, additional arguments presented

Scientific paper

10.1103/PhysRevE.64.067102

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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