Deriving cortical maps and elastic nets from topology-preserving maps

Authors:
Valery Tereshko
Affiliations:
School of Computing, University of Paisley, Paisley, Scotland
Venue:
IWANN'05 Proceedings of the 8th international conference on Artificial Neural Networks: computational Intelligence and Bioinspired Systems
Year:
2005

Citing 3
Cited 1

Introduction to the theory of neural computation

Introduction to the theory of neural computation
Combining Lateral and Elastic Interactions: Topology-Preserving Elastic Nets

Neural Processing Letters
Topology-Preserving Elastic Nets

IWANN '01 Proceedings of the 6th International Work-Conference on Artificial and Natural Neural Networks: Connectionist Models of Neurons, Learning Processes and Artificial Intelligence-Part I

Lateral and elastic interactions: deriving one form from another

ICANN'07 Proceedings of the 17th international conference on Artificial neural networks

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Abstract

Soft topology-preserving map and its batch version are proven to be reduced to cortical map and elastic net, respectively. This verifies numerous results of numerical simulations described in the literature demonstrating similarities of neural patterns produced by lateral and elastic synaptic interactions.