Title
Breaking Rotational Symmetry in a Self-Organizing Map Model for Orientation Map Development
Abstract
We analyze the pattern formation behavior of a high-dimensional self-organizing map (SOM) model for the competitive projection of ON-center-type and OFF-center-type inputs to a common map layer. We mathematically show, and numerically confirm, that even isotropic stimuli can drive the development of oriented receptive fields and an orientation map in this model. This result provides an important missing link in the spectrum of pattern formation behaviors observed in SOM models. Extending the model by including further layers for binocular inputs, we also investigate the combined development of orientation and ocular dominance maps. A parameter region for combined patterns exists; corresponding maps show a preference for perpendicular intersection angles between iso-orientation lines and ocularity domain boundaries, consistent with experimental observations.
Year
DOI
Venue
1998
10.1162/089976698300017719
Neural Computation
Keywords
Field
DocType
spectrum,pattern formation,receptive field,ocular dominance
Receptive field,Isotropy,Perpendicular,Image processing,Self-organizing map,Artificial intelligence,Artificial neural network,Geometry,Computer vision,Rotational symmetry,Mathematical optimization,Pattern formation,Mathematics
Journal
Volume
Issue
ISSN
10
3
0899-7667
Citations 
PageRank 
References 
4
0.90
6
Authors
4
Name
Order
Citations
PageRank
Maximilian Riesenhuber176159.73
Hans-ulrich Bauer223638.94
D. Brockmann341.24
Theo Geisel431440.09