Quentin Cormier

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Since August 2021, I am a postdoctoral researcher at Princeton University, in the Operations Research and Financial Engineering (ORFE) department. Pior to joining ORFE, I obtained my PhD at INRIA Sophia-Antipolis, under the direction of Etienne Tanré and Romain Veltz, in the TOSCA team.

PhD project: I studied mathematically models of spiking neurons. The neurons interact through spikes. The dynamics of each neuron is stochastic and can be described using Point processes / Jump processes. In the limit of large networks, the model can be reduced to a (stochastic) Mean-Field equation (McKean-Vlasov equation). I studied its long time behavior, using both probabilistic and deterministic tools.

ORCID iD iconhttps://orcid.org/0000-0002-2634-9134 Mail iconqc2593@princeton.edu

Publications

[Google Scholar, Arxiv, HAL]

Thesis Long time behavior of a mean-field model of interacting spiking neurons, defended the 15/01/2021 HAL.

5. A bifurcation analysis of some McKean-Vlasov equations
Submitted. Arxiv.

4. Hopf bifurcation in a Mean-Field model of spiking neurons (with Etienne Tanré and Romain Veltz)
Electronic Journal of Probability (2021). Arxiv, HAL.

3. A mean-field model of Integrate-and-Fire neurons: non-linear stability of the stationary solutions
Technical report (2020). Arxiv, HAL.

2. Long time behavior of a mean-field model of interacting neurons (with Etienne Tanré and Romain Veltz)
Stochastic Processes and their Applications (2020) Arxiv, HAL.

1. Launch and Iterate: Reducing Prediction Churn (with Mahdi Milani Fard, Kevin Canini and Maya Gupta)
Advances in Neural Information Processing Systems 29 (NIPS 2016)