Dynamic analysis of continuous self-organizing cortical maps

Anke Meyer-Baese

doi:10.1117/12.304825

25 March 1998 Dynamic analysis of continuous self-organizing cortical maps

Anke Meyer-Baese

Proceedings Volume 3390, Applications and Science of Computational Intelligence; (1998) https://doi.org/10.1117/12.304825
Event: Aerospace/Defense Sensing and Controls, 1998, Orlando, FL, United States

Abstract

Based on Amaris mathematical formulation of the self- organization of synaptic efficacies and neural response fields under the influence of external stimuli we show that if the map is a contraction, then the system has a unique equilibrium which is globally asymptotically stable; consequently the system acts as a stable encoder of external input stimuli. The system converges to a fixed point representing the steady- state of the neural activity which has as an upper bound the superposition of the spatial integrals of the weight function between neighboring neurons and the stimulus autocorrelation function.

Citation Download Citation

Anke Meyer-Baese "Dynamic analysis of continuous self-organizing cortical maps", Proc. SPIE 3390, Applications and Science of Computational Intelligence, (25 March 1998); https://doi.org/10.1117/12.304825

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