Stability of two-layer recursive neural networks
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 5 (2013) no. 2, pp. 151-154
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The stability conditions are described for the discrete neural networks. Stability regions are constructed in the parameter space for these networks. The problem reduces to the stability problem for the matrix difference equations of higher order with delay. The main tool is the stability cone.
Keywords:
neural networks; difference matrix equations; stability of difference equations; two-layer network.
@article{VYURM_2013_5_2_a22,
author = {S. A. Ivanov},
title = {Stability of two-layer recursive neural networks},
journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matematika, mehanika, fizika},
pages = {151--154},
publisher = {mathdoc},
volume = {5},
number = {2},
year = {2013},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VYURM_2013_5_2_a22/}
}
TY - JOUR AU - S. A. Ivanov TI - Stability of two-layer recursive neural networks JO - Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika PY - 2013 SP - 151 EP - 154 VL - 5 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VYURM_2013_5_2_a22/ LA - ru ID - VYURM_2013_5_2_a22 ER -
%0 Journal Article %A S. A. Ivanov %T Stability of two-layer recursive neural networks %J Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika %D 2013 %P 151-154 %V 5 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/VYURM_2013_5_2_a22/ %G ru %F VYURM_2013_5_2_a22
S. A. Ivanov. Stability of two-layer recursive neural networks. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 5 (2013) no. 2, pp. 151-154. http://geodesic.mathdoc.fr/item/VYURM_2013_5_2_a22/