Combining Lateral and Elastic Interactions: Topology-Preserving Elastic Nets

  • Authors:
  • Valery Tereshko;Nigel M. Allinson

  • Affiliations:
  • Max-Planck-Institute for Mathematics in the Sciences, Inselstr. 22-26, 04103 Leipzig, Germany. E-mail: tereshko@mis.mpg.de;UMIST, Department of Electrical Engineering and Electronics, P.O. Box 88, Sackville Street, Manchester M60 1QD, UK. E-mail: allinson@umist.ac.uk

  • Venue:
  • Neural Processing Letters
  • Year:
  • 2002

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Abstract

We have developed a topology-preserving elastic net which combines both lateral and synaptic interactions to obtain topologically ordered representations (receptive fields) of an external stimulus. Existing neural models that preserve the topology by utilizing lateral interactions, such as the Kohonen-type maps, and by utilizing synaptic interactions, such as elastic-type nets, appear as limiting cases of this model. Utilizing both lateral and synaptic interactions can be beneficial for preservation of the topology.