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Breaking Rotational Symmetry in a Self&hyphenOrganizing Map Model for Orientation Map Development

Riesenhuber1, Bauer, Brockmann

  • 1Massachusetts Institute of Technology, Brain And Cognitive Sciences, Cambridge MA, US, 77 Massachusetts Avenue, 02139. max@ai.mit.edu

Neural Computation
|April 4, 1998
PubMed
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This study demonstrates how self-organizing maps (SOMs) can develop orientation maps from simple stimuli. Further extensions show combined development of orientation and ocular dominance maps, matching experimental findings.

Area of Science:

  • Computational neuroscience
  • Artificial intelligence
  • Visual system modeling

Background:

  • Self-organizing maps (SOMs) are unsupervised learning algorithms used for dimensionality reduction and pattern recognition.
  • Previous models have shown various pattern formation behaviors, but a complete understanding of how orientation maps develop is lacking.

Purpose of the Study:

  • To analyze pattern formation in a high-dimensional SOM for competitive projection of ON-center and OFF-center inputs.
  • To investigate the combined development of orientation and ocular dominance maps in a multi-layered SOM model.

Main Methods:

  • Mathematical analysis of a high-dimensional SOM model.
  • Numerical simulations to confirm theoretical predictions.
  • Extension of the model to include binocular inputs for analyzing combined map development.

Related Experiment Videos

Main Results:

  • Demonstrated that isotropic stimuli can induce oriented receptive fields and orientation maps in the SOM model.
  • Identified a parameter region for the combined development of orientation and ocular dominance maps.
  • Observed a preference for perpendicular intersection angles between iso-orientation lines and ocular dominance domain boundaries in the model, consistent with experimental data.

Conclusions:

  • The SOM model successfully explains the development of orientation maps from simple stimuli, bridging a gap in pattern formation theory.
  • The extended model accurately predicts the interplay between orientation and ocular dominance map development, aligning with biological observations.