615 citations · 957 across the 23 of their papers we have counts for
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math-ph2012★ 126 cited
Topological and Dynamical Complexity of Random Neural Networks
Gilles Wainrib, Jonathan Touboul
Random neural networks are dynamical descriptions of randomly interconnected neural units. These show a phase transition to chaos as a disorder parameter is increased. The microsco…
q-bio.NC2012
A biological gradient descent for prediction through a combination of STDP and homeostatic plasticity
Mathieu Galtier, Gilles Wainrib
Identifying, formalizing and combining biological mechanisms which implement known brain functions, such as prediction, is a main aspect of current research in theoretical neurosci…
math.PR2012
Absorption properties of stochastic equations with Hölder diffusion coefficients
Jonathan Touboul, Gilles Wainrib
In this article, we address the absorption properties of a class of stochastic differ- ential equations around singular points where both the drift and diffusion functions vanish.…