Quentin Cormier

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Since October 2022, I am Chargé de Recherche at Inria Saclay, in the ASCII team.
In 2021-2022, I was a postdoctoral researcher at Princeton University, in the ORFE department.
I obtained my PhD at Inria Sophia-Antipolis, under the direction of Etienne Tanré and Romain Veltz, in the TOSCA team.

I am interested in the analysis of large assemblies of interacting particles/agents. I am studying mathematically models of spiking neurons, where the dynamics of each neuron is stochastic and can be described using point/jump processes. In the limit of large networks, the model is of mean-field type (McKean-Vlasov equation). I am analyzing the long time behavior of these objects, using both probabilistic and deterministic tools. I am also interested in the analysis of mean-field games and McKean-Vlasov control problems.

Address: CMAP, Ecole Polytechnique, Route de Saclay, 91128 Palaiseau. Office: 00 2033 9-3/4, aile 0.

https://orcid.org/0000-0002-2634-9134 Mail icon

quentin.cormier@inria.fr

Publications

[Google Scholar, Arxiv, HAL]

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

9. Kuramoto Mean Field Game with Intrinsic Frequencies (with René Carmona and Mete Soner)
Preprint. Arxiv.

8. Optimal control under unknown intensity with Bayesian learning (with Nicolas Baradel)
Preprint. Arxiv.

7. Renewal theorems in a periodic environment
Preprint. Arxiv.

6. A mean-field model of Integrate-and-Fire neurons: non-linear stability of the stationary solutions
Mathematical Neuroscience and Applications (2024). Arxiv, HAL

5. On the stability of the invariant probability measures of McKean-Vlasov equations
Accepted for publication at Annales de l'Institut Henri Poincaré. Arxiv.

4. Synchronization in a Kuramoto mean field game (with René Carmona and Mete Soner)
Communications in Partial Differential Equations (2023). Arxiv

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