SOM-Model for the development of oriented receptive fields and orientation maps from non-oriented ON-center OFF-center inputs

  • D. Brockmann
  • H. -U. Bauer
  • M. Riesenhuber
  • T. Geisel
Part II: Cortical Maps and Receptive Fields
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1327)


We investigate the development of oriented receptive fields and an orientation map in a SOM-model which is driven by rotationally symmetric stimuli in ON-center and OFF-center input layers. To this end we use the high-dimensional variant of the SOM-algorithm which allows to develop the internal structure of receptive fields as well as the layout of a neural map. We calculate a state diagram for this model, identify parameter regimes in which the rotational symmetry of the stimuli is broken, corroborate the analytical results by simulations, and investigate an extended version of the model which includes ocular dominance development.


Receptive Field Versus Versus Versus Versus Versus Ocular Dominance Ocular Dominance Column Symmetric Stimulus 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Bartfeld, E., Grinvald A.: Relationship between orientation preference pinwheels, cytochrome oxidase blobs and ocular-dominance columns in primate striate cortex. Proc. Nat. Acad. Sci. USA 89 (1992) 11905–11909Google Scholar
  2. 2.
    Bauer, H.-U., Brockmann, D., Geisel, T.: Analysis of ocular dominance pattern formation in a high-dimensional self-organizing-map-model. Network 8 (1997) 17–33Google Scholar
  3. 3.
    Goodhill, G. J.: Topography and ocular dominance: a model exploring positive correlations. Biol. Cyb. 69 (1993) 109–118Google Scholar
  4. 4.
    Kohonen, T.: The Self-Organizing Map, Springer Berlin (1995)Google Scholar
  5. 5.
    Miller, K. D.: 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. J. Neurosci. 14 (1994) 409–441Google Scholar
  6. 6.
    Miyashita, M., Tanaka, S.: A mathematical model for the self-organization of orientation columns in visual cortex. NeuroRep. 3 (1992) 69–72Google Scholar
  7. 7.
    Obermayer, K., and Blasdel, G. G.: Geometry of orientation and ocular dominance columns in monkey striate cortex. J. Neurosci. 13 (1993) 4114–4129Google Scholar
  8. 8.
    Riesenhuber, M., Bauer, H.-U., Geisel, T.: Analyzing phase transitions in highdimensional self-organizing maps. Biol. Cyb. 75 (1996) 397–407Google Scholar
  9. 9.
    Riesenhuber M., Bauer H.-U., Brockmann D., and T. Geisel: Breaking rotational symmetry in a self-organizing map-model for orientation map development. submitted to Neur. Comp. (1997)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • D. Brockmann
    • 1
  • H. -U. Bauer
    • 1
  • M. Riesenhuber
    • 2
  • T. Geisel
    • 1
  1. 1.Max-Planck-Institut für StrömungsforschungGöttingenGermany
  2. 2.Department of Brain and Cognitive Sciences and Center for Biological and Computational LearningMassachusetts Institute of TechnologyCambridgeUSA

Personalised recommendations