45 citations · 57 across the 11 of their papers we have counts for
3 papers · 1 filter
The determining role of covariances in large networks of stochastic neurons
Vincent Painchaud, Patrick Desrosiers, Nicolas Doyon
Biological neural networks are notoriously hard to model due to their stochastic behavior and high dimensionality. We tackle this problem by constructing a dynamical model of both…
Classes of Holomorphic Multicomplex-Valued Functions Generated by Elliptic-Admissible Involutions
Nicolas Doyon, Pierre-Olivier Parisé, William Verreault
We classify and count the real-algebra involutions of the multicomplex algebra that map each element of its canonical monomial basis to a signed monomial…
Beyond Wilson-Cowan dynamics: oscillations and chaos without inhibition
Vincent Painchaud, Nicolas Doyon, Patrick Desrosiers
Fifty years ago, Wilson and Cowan developed a mathematical model to describe the activity of neural populations. In this seminal work, they divided the cells in three groups: activ…