The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. ex. Some numerals are expressed as "XNUMX".
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The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
Analisamos a dinâmica de mapas corticais auto-organizados sob a influência de estímulos externos. Mostramos que se o mapa for uma contracção, então o sistema tem um equilíbrio único que é globalmente assintoticamente estável; conseqüentemente, o sistema atua como um codificador estável de estímulos de entrada externos. O sistema converge para um ponto fixo que representa o estado estacionário da atividade neural que tem como limite superior a superposição das integrais espaciais da função peso entre neurônios vizinhos e a função de autocorrelação de estímulos. A teoria proposta também inclui soluções interessantes não triviais.
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Anke MEYER-BASE, "On the Existence and Stability of Solutions in Self-Organizing Cortical Maps" in IEICE TRANSACTIONS on Fundamentals,
vol. E82-A, no. 9, pp. 1883-1887, September 1999, doi: .
Abstract: We analyze the dynamics of self-organizing cortical maps 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. The proposed theory also includes nontrivial interesting solutions.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e82-a_9_1883/_p
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@ARTICLE{e82-a_9_1883,
author={Anke MEYER-BASE, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={On the Existence and Stability of Solutions in Self-Organizing Cortical Maps},
year={1999},
volume={E82-A},
number={9},
pages={1883-1887},
abstract={We analyze the dynamics of self-organizing cortical maps 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. The proposed theory also includes nontrivial interesting solutions.},
keywords={},
doi={},
ISSN={},
month={September},}
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TY - JOUR
TI - On the Existence and Stability of Solutions in Self-Organizing Cortical Maps
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1883
EP - 1887
AU - Anke MEYER-BASE
PY - 1999
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E82-A
IS - 9
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - September 1999
AB - We analyze the dynamics of self-organizing cortical maps 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. The proposed theory also includes nontrivial interesting solutions.
ER -