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Original Article

Attractor neural networks with excitatory neurons and fast inhibitory interneurons at low spike rates

Pages 437-448 | Received 21 Mar 1994, Published online: 09 Jul 2009

References

  • Hopfield J J. Neural networks and physical systems with emergent collective computational abilities. Proc. Natl Acad. Sci. USA 1982; 79: 2554–2558
  • Amit D J. Modeling Brain Function: The World of Attractor Neural Networks. Cambridge University Press, Cambridge 1989
  • Kandel E R, Schwartz J R. Principles of Neural Science. Elsevier, Amsterdam 1985
  • Amit D J, Gutfreund H, Sompolinsky H. Statistical mechanics of neural networks near saturation. Ann. Phys., NY 1987; 173: 30–67
  • Kühn R. Statistical mechanics for networks of analog neurons. Statistical Mechanics of Neural Networks, I Garrido. Springer, Berlin 1990
  • Shiino M, Fukai T. Replica-symmetric theory of the nonlinear analogue neural networks. J. Phys. A: Math. Gen. 1990; 23: L1009–17
  • Shinomoto S. A cognitive and associative memory. Biol. Cybern. 1987; 57: 197–206
  • Sompolinsky H. Neural networks with nonlinear synapses and a static noise. Phys. Rev. A 1986; 34: 2571–2574
  • Amit D J, Campbell C, Wong K Y M. The interaction space of neural networks with sign-constrained synapses. J. Phys. A: Math. Gen. 1989; 22: 4687–93
  • Gardner E. The phase space of interactions in neural network models. J. Phys. A: Math. Gen. 1988; 21: 257–70
  • Amit D J, Wong K Y. M, Campbell C. Perceptron learning with sign-constrained weights. J. Phys. A: Math. Gen. 1989; 22: 2039–45
  • Amit D J, Tsodyks M V. Quantitative study of attractor neural network retrieving at low spike rates: I. Netw., Comput. Neural Syst. 1991; 2: 259–73
  • Amit D J, Tsodyks M V. Quantitative study of attractor neural network retrieving at low spike rates: II. Netw., Comput. Neural Syst. 1991; 2: 275–94
  • Amit D J, Treves A. Associative memory neural network with low temporal spiking rates. Proc. Natl Acad. Sci. USA 1989; 86: 7871–5
  • Treves A, Amit D J. Low firing rates: an effective Hamiltonian for excitatory neurons. J. Phys. A: Math. Gen. 1989; 22: 2205–26
  • Rubin N, Sompolinsky H. Neural networks with low local firing rates. Europhys. Lett. 1989; 10: 465–70
  • Golomb D, Rubin N, Sompolinsky H. Willshaw model: Associative memory with sparse coding and low firing rates. Phys. Rev. 1990; 41: 1843–54
  • Buhmann J. Oscillations and low firing rates in associative memory neural networks. Phys. Rev. A 1989; 40: 4145–8
  • Willshaw D. Non-holographic associative memory. Nature 1969; 222: 960
  • Amit D J, Evans M R, Abeles M. Attractor neural networks with biological probe records. Netw., Comput. Neural Syst. 1990; 1: 381–405
  • Treves A. Threshold-linear formal neurons in auto-associative nets. J. Phys. A: Math. Gen. 1990; 23: 2631–50
  • Treves A. Graded-response neurons and information encodings in auto-associative memories. Phys. Rev. A 1990; 42: 2418–30

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