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• C. Piepenbrock and K. Obermayer. Effects of lateral competition in the primary visual cortex on the development of topographic projections and ocular dominance maps. . Neurocomputing, 26-27:477-482, 1999.
  (FTP Gzipped PostScript, 6 pages, 84 kb)

  We present a Hebbian model for the development of cortical maps in the striate cortex that includes a parameter which represents the degree of lateral competition for activity between neurons. It has two well known models as limiting cases: for weak competition we obtain a Correlation Based Learning (CBL) model and for strong lateral competition we recover the Self Organizing Map (SOM). We show that incresing the competition for positively correlated localized stimuli leads to a sharp transition from an unorganized map to a topographic projection and subesequently to a topographic map with OD and locally magnified OD stripes.