TITLE

Common framework for “topographic” and “elastic” computations

AUTHOR(S)
Tereshko, Valery; Allinson, Nigel M.
PUB. DATE
February 2000
SOURCE
AIP Conference Proceedings;2000, Vol. 502 Issue 1, p124
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
We have developed a common framework for topographic mapping and elastic net algorithms. The considered model is a net of stochastic neurons where steepest descent minimization of its free energy function results in a soft topographic mapping algorithm with elastic synaptic interactions. In a batch-mode, minimization of the free energy function results in an elastic net algorithm with lateral interactions. We show that elastic synaptic interactions can construct a topology in the system as well as the more usual lateral interactions. With no lateral and no synaptic interactions, lowering the temperature leads to a sequence of phase transitions from degenerate ordered to degenerate disordered configurations, and finally to complete disorder. The lateral and synaptic interactions can be viewed respectively as weak parametric and weak force perturbations stabilizing the topological order in the system. © 2000 American Institute of Physics.
ACCESSION #
6028571

 

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