A view of Neural Networks as dynamical systems

Bruno Cessac 1, 2
2 NEUROMATHCOMP
CRISAM - Inria Sophia Antipolis - Méditerranée , INRIA Rocquencourt, ENS Paris - École normale supérieure - Paris, UNS - Université Nice Sophia Antipolis, CNRS - Centre National de la Recherche Scientifique : UMR8548
Abstract : We consider neural networks from the point of view of dynamical systems theory. In this spirit we review recent results dealing with the following questions, adressed in the context of specific models. 1. Characterizing the collective dynamics; 2. Statistical analysis of spikes trains; 3. Interplay between dynamics and network structure; 4. Effects of synaptic plasticity.
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Article dans une revue
International Journal of Bifurcation and Chaos, World Scientific Publishing, 2010, 20 (6), pp.1585-1629. 〈10.1142/S0218127410026721〉
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https://hal.inria.fr/inria-00534326
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Soumis le : mardi 9 novembre 2010 - 12:48:58
Dernière modification le : jeudi 26 avril 2018 - 10:28:53

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Bruno Cessac. A view of Neural Networks as dynamical systems. International Journal of Bifurcation and Chaos, World Scientific Publishing, 2010, 20 (6), pp.1585-1629. 〈10.1142/S0218127410026721〉. 〈inria-00534326〉

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