3 citations · 3 across the 6 of their papers we have counts for
6 papers
On large networks of integrate-and-fire neurons with short-term synaptic plasticity
Quentin Cormier, Eva Löcherbach, Valentin Schmutz
This work studies the mean-field limit of large networks of interacting stochastic leaky integrate-and-fire (LIF) neurons subject to short-term synaptic depression (STD). The macro…
Kuramoto Mean Field Game with Intrinsic Frequencies
Rene Carmona, Quentin Cormier, Mete Soner
This paper studies a mean field game formulation of the classical Kuramoto model for synchronization. Our model captures the diversity within the population by considering random i…
Optimal control under unknown intensity with Bayesian learning
Nicolas Baradel, Quentin Cormier
We investigate an optimal control problem motivated by neuroscience, where the dynamics is driven by a Poisson process with a controlled stochastic intensity and an unknown paramet…
Renewal theorems in a periodic environment
Quentin Cormier
We study a renewal problem within a periodic environment, departing from the classical renewal theory by relaxing the assumption of independent and identically distributed inter-ar…
Synchronization in a Kuramoto Mean Field Game
Rene Carmona, Quentin Cormier, H. Mete Soner
The classical Kuramoto model is studied in the setting of an infinite horizon mean field game. The system is shown to exhibit both synchronization and phase transition. Incoherence…
A mean-field model of Integrate-and-Fire neurons: non-linear stability of the stationary solutions
Quentin Cormier
We investigate a stochastic network composed of Integrate-and-Fire spiking neurons, focusing on its mean-field asymptotics. We consider an invariant probability measure of the McKe…