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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 (... - 2019), 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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https://hal.inria.fr/inria-00534326
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Submitted on : Tuesday, November 9, 2010 - 12:48:58 PM
Last modification on : Friday, October 15, 2021 - 1:40:04 PM

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Bruno Cessac. A view of Neural Networks as dynamical systems. International journal of bifurcation and chaos in applied sciences and engineering , World Scientific Publishing, 2010, 20 (6), pp.1585-1629. ⟨10.1142/S0218127410026721⟩. ⟨inria-00534326⟩

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