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".
Copyrights notice
The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
Kami menganalisis dinamik peta kortikal yang mengatur sendiri di bawah pengaruh rangsangan luar. Kami menunjukkan bahawa jika peta adalah penguncupan, maka sistem mempunyai keseimbangan unik yang stabil secara asimptotik secara global; akibatnya sistem bertindak sebagai pengekod stabil rangsangan input luaran. Sistem ini menumpu kepada titik tetap yang mewakili keadaan mantap aktiviti saraf yang mempunyai sebagai batas atas superposisi kamiran spatial fungsi berat antara neuron jiran dan fungsi autokorelasi rangsangan. Teori yang dicadangkan juga termasuk penyelesaian menarik bukan remeh.
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Salinan
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
Salinan
@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},}
Salinan
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 -