Self-organized cortical map formation by guiding connections

We describe an algorithm for self-organizing connections from a source array to a target array of neurons that is inspired by neural growth cone guidance. Each source neuron projects a Gaussian pattern of connections to the target layer. Learning modifies the pattern center location. The small number of parameters required to specify connectivity has enabled this algorithm's implementation in a neuromorphic silicon system. We demonstrate that this algorithm can lead to topographic feature maps similar to those observed in the visual cortex, and characterize its operation as function maximization, which connects this approach with other models of cortical map formation.

[1]  Richard Durbin,et al.  A dimension reduction framework for understanding cortical maps , 1990, Nature.

[2]  B. Gomperts,et al.  Stimulus–secretion coupling in rabbit neutrophils is not mediated by phosphatidylinositol breakdown , 1980, Nature.

[3]  Terrence J. Sejnowski,et al.  A Unifying Objective Function for Topographic Mappings , 1997, Neural Computation.

[4]  David Willshaw,et al.  Application of the elastic net algorithm to the formation of ocular dominance stripes , 1990 .

[5]  D. Puro The Retina. An Approachable Part of the Brain , 1988 .

[6]  R Linsker,et al.  From basic network principles to neural architecture: emergence of spatial-opponent cells. , 1986, Proceedings of the National Academy of Sciences of the United States of America.

[7]  Mu-ming Poo,et al.  cAMP-induced switching in turning direction of nerve growth cones , 1997, Nature.

[8]  S. Sutherland Eye, brain and vision , 1993, Nature.

[9]  I. Mcquarrie,et al.  The Nerve Growth Cone , 1992, Neurology.

[10]  KD Miller A model for the development of simple cell receptive fields and the ordered arrangement of orientation columns through activity-dependent competition between ON- and OFF-center inputs , 1994, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[11]  Kwabena Boahen,et al.  Topographic Map Formation by Silicon Growth Cones , 2002, NIPS.

[12]  L C Katz,et al.  Neurotrophins and synaptic plasticity. , 1999, Annual review of neuroscience.

[13]  Kwabena Boahen,et al.  Optic nerve signals in a neuromorphic chip I: Outer and inner retina models , 2004, IEEE Transactions on Biomedical Engineering.