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Modelirovanie i Analiz Informatsionnykh Sistem, 2014, Volume 21, Number 3, Pages 62–80
(Mi mais377)
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This article is cited in 1 scientific paper (total in 1 paper)
Impulse Neuron and Cellular Neural Automaton are Asymptotically Equivalent
V. D. Kopylov, O. A. Dunaeva, M. L. Myachin P. G. Demidov Yaroslavl State University, Sovetskaya str., 14, Yaroslavl, 150000, Russia
Abstract:
In the article, it is established the asymptotic equivalence of dynamics of the neural networks consisting of the impulse neurons and the neural networks built of the neural cellular automata of different kinds (autogenerators and detectors). Such an equivalence takes place for appropriate parameters values and non-intersection of input impacts for each neuron. In the first chapter, we describe the model of impulse autogenerator neuron and two different models of impulse detector neuron. For these models, we prove statements about duration of the latent period for a neuron under impact. In the second chapter, we describe the model of a neural cellular automaton with autogenerator dynamics and a modification of this model with detector dynamics. For these models, we also prove statements about the latent period for a neural automaton under impact. In the third chapter, we prove some statements about asymptotic equivalence of the impulse neurons and neural cellular automata of different kinds.
Keywords:
biological neuron, impulse neuron with time delay, cellular neural automaton.
Received: 29.05.2014
Citation:
V. D. Kopylov, O. A. Dunaeva, M. L. Myachin, “Impulse Neuron and Cellular Neural Automaton are Asymptotically Equivalent”, Model. Anal. Inform. Sist., 21:3 (2014), 62–80
Linking options:
https://www.mathnet.ru/eng/mais377 https://www.mathnet.ru/eng/mais/v21/i3/p62
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Abstract page: | 556 | Full-text PDF : | 335 | References: | 45 |
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