Abstract
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.
Preview
Unable to display preview. Download preview PDF.
References
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) 11905–11909
Bauer, H.-U., Brockmann, D., Geisel, T.: Analysis of ocular dominance pattern formation in a high-dimensional self-organizing-map-model. Network 8 (1997) 17–33
Goodhill, G. J.: Topography and ocular dominance: a model exploring positive correlations. Biol. Cyb. 69 (1993) 109–118
Kohonen, T.: The Self-Organizing Map, Springer Berlin (1995)
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) 409–441
Miyashita, M., Tanaka, S.: A mathematical model for the self-organization of orientation columns in visual cortex. NeuroRep. 3 (1992) 69–72
Obermayer, K., and Blasdel, G. G.: Geometry of orientation and ocular dominance columns in monkey striate cortex. J. Neurosci. 13 (1993) 4114–4129
Riesenhuber, M., Bauer, H.-U., Geisel, T.: Analyzing phase transitions in highdimensional self-organizing maps. Biol. Cyb. 75 (1996) 397–407
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)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1997 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Brockmann, D., Bauer, H.U., Riesenhuber, M., Geisel, T. (1997). SOM-Model for the development of oriented receptive fields and orientation maps from non-oriented ON-center OFF-center inputs. In: Gerstner, W., Germond, A., Hasler, M., Nicoud, JD. (eds) Artificial Neural Networks — ICANN'97. ICANN 1997. Lecture Notes in Computer Science, vol 1327. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0020157
Download citation
DOI: https://doi.org/10.1007/BFb0020157
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-63631-1
Online ISBN: 978-3-540-69620-9
eBook Packages: Springer Book Archive