Can Hebbian Volume Learning Explain Discontinuities in Cortical Maps?

@article{Mitchison1999CanHV,
  title={Can Hebbian Volume Learning Explain Discontinuities in Cortical Maps?},
  author={Graeme J. Mitchison and Nicholas V. Swindale},
  journal={Neural Computation},
  year={1999},
  volume={11},
  pages={1519-1526}
}
It has recently been shown that orientation and retinotopic position, both of which are mapped in primary visual cortex, can show correlated jumps (Das & Gilbert, 1997). This is not consistent with maps generated by Kohonen's algorithm (Kohonen, 1982), where changes in mapped variables tend to be anticorrelated. We show that it is possible to obtain correlated jumps by introducing a Hebbian component (Hebb, 1949) into Kohonen's algorithm. This corresponds to a volume learning mechanism where… 

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