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Original Article

Information capacity in recurrent McCulloch–Pitts networks with sparsely coded memory states

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Pages 177-186 | Received 28 Mar 1991, Published online: 09 Jul 2009

References

  • Palm G. On the asymptotic storage capacity on neural networks. Neural Computers, R Eckmiller, Chr v d Malsburg. Springer, Berlin 1988
  • Nadal J-P, Toulouse G. Information storage in sparsely coded memory nets. Network: Computation in Neural Systems 1990; 1: 61–74
  • Nadal J-P. Associative memory: on the (puzzling) sparse coding limit. J. Phys. A: Math. Gen. 1991; 24: 1093–101
  • Tsodyks M V, Feigelman M V. The enhanced storage capacity in neural networks with low activity level. Europhys. Lett. 1988; 6: 101–5
  • Gardner E. The space of interactions in neural network models. J. Phys. A: Math. Gen. 1988; 21: 257–70
  • Gutfreund H, Stein Y. Capacity of neural networks with discrete synaptic couplings. J. Phys. A: Math. Gen. 1990; 23: 2613–30
  • Willshaw D J, Buneman O P, Longuet-Higgins H C. Nonholographic associative memory. Nature 1969; 222: 960–2
  • Palm G. On associative memory. Biol. Cybern. 1980; 36: 19–31
  • Palm G. Local learning rules and sparse coding in neural networks. Advanced Neural Computers, R Eckmiller. North Holland, Amsterdam 1990
  • Amari S I. Statistical neurodynamics of associative memory. Neural Networks 1989; 1: 63–73
  • Palm G. Memory capacities of local learning rules for synaptic modification. Concepts in Neuroscience 1991; 2: 97–128
  • Palm G, Sommer F T (1991) Information and pattern capacities in neural associative memories with feedback for sparse memory patterns. Conf. Proc. Workshop on Complex Dynamics of Neural Networks. VietriItaly, June, 1991. Springer, Berlin
  • Amit D J, Gutfreund H. Statistical mechanics of neural networks near saturation. Ann. Phys. 1987; 173: 30–67
  • Horner H. Neural networks with low levels of activity: Ising vs. McCulloch-Pitts neurons. Z. Phys. B 1989; 75: 133–6
  • Schwenker F, Sommer F T, Palm G. Simulations of recurrent networks of threshold neurons with sparse activity, in preparation. 1992
  • Palm G. On the information storage capacity of local learning rules. Neural Computation 1992, in press

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