Phase diagrams and the instability of the spin glass states for the diluted Hopfield neural network model

@inproceedings{Canning1992PhaseDA,
  title={Phase diagrams and the instability of the spin glass states for the diluted Hopfield neural network model},
  author={Andr{\'e}w Magnus Canning and Jean-Pierre Naef},
  year={1992}
}
The replica-symmetric order parameter equations derived in [2, 4] for the symmetrically diluted Hopfield neural network model [1] are solved for different degrees of dilution. The dilution is random but symmetric. Phase diagrams are presented for c=1, 0.1, 0.001 and $c o 0$, where c is the fractional connectivity. The line $T_{ m c}$ where the memory states become global minima (having lower free energy than the spin glass states) is also found for different values of c. It is found that the… CONTINUE READING

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Dilution in recurrent neural networks

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References

Publications referenced by this paper.
SHOWING 1-7 OF 7 REFERENCES

Neural Networks from Models to Applications, Proc. Neuro'88 Conf., E-S-P-C-I, Paris

A. Canning
  • Edited by Personnaz L. and Dreyfus G. (I.D.S.E.T
  • 1988
VIEW 7 EXCERPTS
HIGHLY INFLUENTIAL

Neural Networks from Models to Applications

A Canning
  • 1988

Phvs . Rev . Lett . 32 , 1792 . ( 1978 ) Phvs

D. Sherrington, S. Kirkpatrick
  • 1975

and Sompolinsky H . , ( 1985 ) Phys . Rev . Lett . 55 , 1530 . ( 1987 )

- AmitD-J, H. Gutfreund
  • Ann . Phvs .