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Original Article

What determines the capacity of autoassociative memories in the brain?

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Pages 371-397 | Received 13 May 1991, Published online: 09 Jul 2009

References

  • Abeles K, Vaadia E, Bergman H. Firing patterns of single units in the prefrontal cortex and neural network models. Network 1990; 1: 13–25
  • Amaral D G, Insausti R, Cowan W M. The commissural connection of the monkey hippocampal formation. J. Comput. Neurol. 1984; 224: 307–36
  • Amaral D G, Ishizuka N, Claiborne B. Neurons, numbers and the hippocampal network. Prog. Brain Res 1990; 83: 1–11
  • Amit D J. Modelling Brain Function. Cambridge University Press, Cambridge 1989
  • Amit D J, Gutfreund H, Sompolinsky H. Spin-glass models of neural networks. Phys. Rev. 1985; A 32: 1007–18
  • Amit D J, Gutfreund H, Sompolinsky H. Statistical mechanics of neural networks near saturation. Ann. Phys. NY 1987; 173: 30–67
  • Amit D J, Gutfreund H, Sompolinsky H. Information storage in neural networks with low levels of activity. Phys. Rev. 1987; A 35: 2293–303
  • Amit D J, Parisi O, Nicholls S. Neural potentials as stimuli for attractor neural networks. Network 1990; 1: 75–88
  • Avoli M, Olivier A. Electrophysiological properties and synaptic responses in the deep layers of the human epileptogenic neocortex in vitro. J. Neurophysiol. 1989; 61: 589–606
  • Bear M F, Cooper L N, Ebner F F. A physiological basis for a theory of synapse modification. Science 1987; 237: 42–8
  • Bienstock E L, Cooper L N, Munro P W. Theory for the development of neuron selectivity: orientation specificity and binocular interaction in visual cortex. J. Neurosci. 1982; 2: 32–48
  • Brown T H, Kairiss E W, Keenan C L. Hebbian synapses: biophysical mechanisms and algorithms. Ann. Rev. Neurosci. 1990; 13: 475–511
  • Buhmann J, Divko Rand Schulten K. Associative memory with high information content. Phys. Rev. 1989; A 39: 2689–92
  • Cohen M A, Grossberg S. Absolute stability of global pattern formation and parallel memory storage by competitive neural networks. IEEE Trans. Systems 1983; SMC-13: 815–26
  • Collingridge G L, Singer W. Excitatory amino acid receptors and synaptic plasticity. Trends Pharm. Sci. 1990; 11: 290–6
  • Cotman C W, Monaghan D T, Ganong A H. Excitatory amino acid neurotransmission: NMDA receptors and Hebb-type synaptic plasticity. Ann. Rev. Neurosci. 1988; 11: 61–80
  • Derrida B, Gardner E, Zippelius A. An exactly solvable asymmetric neural network model. Europhys. Lett. 1987; 4: 167–73
  • Domany E, Kinzel W, Meir R. Layered neural networks. J.Phys. A: Math. Gen. 1989; 22: 2081–102
  • Evans M R. Random dilution in a neural network for biased patterns. J.Phys. A: Math. Gen. 1989; 22: 2103–181
  • Fregnac Y, Smith D, Friedlander M J F. Postsynaptic membrane potential regulates synaptic potentiation and depression in visual cortical neurons. Soc. Neurosci. Abs. 1990; 16: 798
  • Gardner E. The space of interactions in neural network models. J. Phys. A. Math. Gen. 1988; 21: 257–70
  • Gardner-Medwin A R. The recall of events through the learning of associations between their parts. Proc. R Soc. 1976; B 194: 375–402
  • Gray C M, Singer W. Stimulus-specific neuronal oscillations in orientation columns of cat visual cortex. Proc. Natl. Acad. Sci USA 1989; 86: 1698–702
  • Gustafsson B, Wigstrom H. Shape of frequency-current curves in CA1 pyramidal cells in the hippocampus. Brain Res. 1981; 223: 417–21
  • Hopfield J J. Neural networks and physical systems with emergent collective computational abilities. Proc. Natl. Acad. Sci. USA 1982; 79: 2554–8
  • Ishizuka N, Weber J, Amaral D G. Organization of intrahippocampal projections originating from CA3 pyramidal cells in the rat. J. Comp Neurol. 1990; 295: 580–623
  • Kohonen T. Associative Memory. Springer, Berlin 1977
  • Kree R, Zippelius A. Asymmetrically diluted neural networks. Preprint. 1990, (Göttingen)
  • Lanthorn T, Storm J, Andersen P. Current-to-frequency transduction in CA1 hippocampal pyramidal cells slow prepotentials dominate the primary range firing. Exp. Brain Res. 1984; 53: 431–43
  • Little W A. The existence of persistent states in the brain. Math. Biosci. 1974; 19: 101–20
  • Marr D. A theory for cerebral neocortex. Proc. R Soc. 1970; B 176: 161–234
  • Marr D. Simple memory: a theory for archicortex. Phil. Trans. R. Soc. 1971; B 262: 24–81
  • Mason A, Larkman A. Correlations between morphology and electrophysiology of pyramidal neurones in slices of rat visual cortex. II Electrophysiology. J. Neurosci. 1990; 10: 1415–28
  • McCullough W S, Pitts W. A logical calculus of the ideas immanent in nervous activity. Bull. Math. Biophys. 1943; 5: 115–37
  • McNaughton B L, Nadel L. Hebb-Marr networks and the neurobiological representation of action in space. Neuroscience and Connectionist Theory, M A Gluck, D E Rumelhart. Erlbaum, Hillsdale, NJ 1990
  • McNaughton B L, Barnes C A, Anderson P. Synaptic efficacy and EPSP summation in granule cells of rat fascia dentata studied in vitro. J. Neurophysiol. 1981; 46: 952–66
  • Peters A, Jones E G. Cerebral Cortex, A Peters, E G Jones. Plenum, New York 1984
  • Rolls E T. Functions of neuronal networks in the hippocampus and neocortex in memory. Neural Models of Plasticity, J H Byrne, W O Berry. Academic, San Diego 1989; 240–65
  • Rolls E T. The representation and storage of information in neuronal networks in the primate cerebral cortex and hippocampus. The Computing Neuron, R Durbin, C Miall, G Mitchison. Addison-Wesley, Wokingham 1989; 125–59
  • Rolls E T. Functions of the primate hippocampus in spatial processing and memory. Neurobiology of Comparative Cognition, D S Olton, R P Kesner. Erlbaum, Hillsdale, NJ 1990; 339–62
  • Rolls E T, Miyashita Y, Cahusac P M B, Kesner R P, Niki H, Feigenbaum J D, Bach L. Hippocampal neurons in the monkey with activity related to the place in which a stimulus is shown. J. Neurosci. 1989; 9: 1835–45
  • Rolls E T, Treves A. The relative advantages of sparse versus distributed encoding for associative neuronal networks in the brain. Network 1990; 1: 407–21
  • Sejnowski T. Storing covariance with nonlinearly interacting neurons. J. Math. Biol. 1977; 4: 303–21
  • Shannon C B, Weaver W. The Mathematical Theory of Communication. University of Illinois Press, Urbana, IL 1949
  • Squire L R, Shinamura A P, Amaral D. Memory and the hippocampus. Neural Models of Plasticity, J H Byrne, W O Berry. Academic, San Diego 1989; 208–39
  • Tsodyks M V, Feigel'man M V. The enhanced storage capacity in neural networks with low activity level. Europhys. Lett. 1988; 6: 101–05
  • Treves A. Graded-response neurons and information encodings in autoassociative memories. Phys. Rev. 1990; A 42: 2418–30
  • Treves A. Dilution and sparse coding in threshold-linear nets. J. Phys. A. Math. Gen. 1991; 24: 327–35
  • Treves A, Rolls E T. Computational constraints suggest the need for two distinct input systems to the hippocampal CA3 network. Hippocampus 1992; 2, in press
  • Trotter Y, Thorpe S J, Celebrini S, Pouget A, Imbert M. Processing of orientation in V1 of the awake monkey. Soc. Neurosci. Abs. 1989; 15: 1056
  • Willshaw D J, Buneman O P, Longuet-Higgins H C. Non-holographic associative memory. Nature 1969; 222: 960–2
  • Wilshaw D J, Dayan P. Optimal plasticity from matrix memories: what goes up must come down. Neural Computation 1990; 2: 85–93

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