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Network: Computation in Neural Systems Volume 10, 1999 - Issue 2
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Original Article

Solutions of the BCM learning rule in a network of lateral interacting nonlinear neurons

G C Castellani Physics Department, Bologna University, Via Berti Pichat 6/2, 40127, Bologna, Italy
,
N Intrator Physics Department, Department of Neuroscience and Institute for Brain and Neural Systems, Brown University, Providence, RI, 02912, USA
,
H Shouval Physics Department, Department of Neuroscience and Institute for Brain and Neural Systems, Brown University, Providence, RI, 02912, USA
&
L N Cooper Physics Department, Department of Neuroscience and Institute for Brain and Neural Systems, Brown University, Providence, RI, 02912, USA
Pages 111-121 | Received 28 May 1998, Published online: 09 Jul 2009

References

  • Bienenstock 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
  • Blais B S, Intrator N, Shouval H, Cooper L N. Receptive field formation in natural scene environments: comparison of single cell learning rules. Neural Comput. 1998; 10: 1797–813
  • Castellani G, Giberti C, Franceschi C, Bersani F. Stable state analysis of an immune network model. Int. J.Bifurc. and Chaos 1998; 8: 1285–301
  • Clothiaux E E, Cooper L N, Bear M F. Synaptic plasticity in visual cortex: comparison of theory with experiment. J. Neurophysiol. 1991; 66: 1785–804
  • Cooper L N, Scofield C L. Mean-field theory of a neural network. Proc. Natl Acad. Sci. USA 1988; 85: 1973–7
  • Dudek S M, Bear M F. Homosynaptic long-term depression in area CA1 of hippocampus and the effects on NMDA receptor blockade. Proc. Natl Acad. Sci. USA 1992; 89: 4363–7
  • Hinton G E, Ghahramani Z. Generative models for discovering sparse distributed representations. Phil. Trans. R. Soc. B 1997; 352: 1177–90
  • Huynh Q, Cooper L N, Intrator N, Shouval H. Classification of underwater mammals using feature extraction based on time-frequency analysis and BCM theory. IEEE Trans. Signal Process 1998; 46: 1202–7
  • Intrator N, Cooper L N. Objective function formulation of the BCM theory of visual cortical plasticity: statistical connections, stability conditions. Neural Networks 1992; 5: 3–17
  • Intrator N, Gold J I, Bülthoff H H, Edelman S. Three-dimensional object recognition using an unsupervised neural network: understanding the distinguishing features. Proc. 8th Israeli Conf. on Artificial Intelligence Computer Vision, Y Feldman, A Bruckstein. Elsevier, Amsterdam 1991; 113–23
  • Intrator N, Reisfeld D, Yeshurun Y. Face recognition using a hybrid supervised/unsupervised neural network. Pattern Recognition Lett. 1996; 17: 67–76
  • Kirkwood A, Duden S M, Gold J T, Aizenman C, Bear M F. Common forms of synaptic plasticity in Hippocampus and Neocortex. vitro, Science 1993; 260: 1518–21
  • Kirkwood A, RioultMG, BearMF. Experience-dependent modification of synaptic plasticity in visual cortex. Nature 1996; 381: 526–8
  • Law C, Cooper L. Formation of receptive fields according to the BCM theory in realistic visual environments. Proc. Natl Acad. Sci. USA 1994; 91: 7797–801
  • Shouval H, Intrator N, Law C C, Cooper L N. Effect of binocular cortical misalignment on ocular dominance and orientation selectivity. Neural Comput. 1996; 8: 1021–40
  • Shouval H, Intrator N, Cooper L N. BCM network develops orientation selectivity and ocular dominance from natural scenes environment. Vision Res. 1997; 37: 3339–42
  • Weisbuch G, Boer R D, Perelson A. Localized memories in idiotypic networks. J. Theor. Biol. 1990; 146: 483–99

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