PhD student at CERMICS (Ecole Nationale des Ponts et Chaussées).

Contact: gregoire[dot]ferre[at]ponts[dot]org

My focus is on the understanding of statistical physics and random systems from a mathematical perspective, both concerning theoretical and practical aspects. This includes rare events analysis, large random matrices, high dimensional sampling, small temperature systems. I am also interested in the links between statistical physics, high dimensional sampling and machine learning.

Research interests:

- Markov chains, Feynman-Kac models and their stability;
- Stochastic algorithms (MCMC, stochastic approximation, sequential Monte Carlo...) and their application to machine learning;
- Large deviations theory and its application to physics (phase transition...);
- Large random matrices, Coulomb gases;
- Interaction between machine learning and statistical physics;
- Numerical analysis of SDE's;
- Rare event analysis for low temperature systems;
- Partial differential equations, functional inequalities.

Publications

Stochastic analysis

Ferré, G. , Rousset, M. & Stoltz, G. (2018), More on the long time stability of Feynman-Kac semigroups. Preprint (submitted)

Chafaï, D. & Ferré, G. (2018), Simulating Coulomb gases and log-gases with Hybrid Monte Carlo algorithms. Preprint (Accepted for publication in *The Journal of Statistical Physics*)

Ferré, G. & Touchette, H. (2018). Adaptive sampling of large deviations. *The Journal of Statistical Physics*, *172*(6), 1525-1544. Preprint .

Ferré, G, & Stoltz, G. (2017). Error estimates on ergodic properties of Feynman-Kac semigroups. Preprint (submitted)

Machine Learning and model reduction

Ferré, G., Haut, T., & Barros, K. (2017). Learning molecular energies using localized graph kernels. *The Journal of Chemical Physics*, *146*(11), 114107. Preprint

Zentner, I., Ferré, G., Poirion, F., & Benoit, M. (2016). A biorthogonal decomposition for the identification and simulation of non-stationary and non-Gaussian random fields. *Journal of Computational Physics*, *314*, 1-13. Paper

Ferré, G., Maillet, J.-B., & Stoltz, G. (2015). Permutation-invariant distance between atomic configurations. *The Journal of Chemical Physics*, *143*(10), 104114. Preprint

Talks in conferences

Institute for Pure and Applied Mathematics, UCLA, Los Angeles, Understanding Many-Particle Systems with Machine Learning, 2016, Young Researchers’ Talk. *Learning potential energy landscapes with localized graph kernels.* Slides

ICTS, Bengalore, Large deviations theory in statistical physics, recent advances and future challenges, 2017, *Error estimates for Feynman-Kac semi-groups. *Video

IHP, Paris, Young Probabilists' Day (Les probabilités de demain), 2018, *Long time stability of Feynman-Kac models. *Slides Video

Congrès National d'Analyse Numérique, Cap d'Agde, *Error estimates and ergodic properties of Markov chains and Feynman-Kac models*, 2018.

International Conference in Monte Carlo and Quasi-Monte Carlo Methods in Scientific computing, Rennes, *Long time stability of Feynman-Kac dynamics*, 2018. Slides

SIAM meeting on Mathematical Aspects of Material Science, Portland (Oregon), *Error Estimates and Stability for Diffusion Monte Carlo Algorithms*, 2018.

SIAM meeting on Mathematical Aspects of Material Science, Portland (Oregon), *An* A*daptive Algorithm for Sampling Large Deviation Functions*, 2018.

Franco-German Meeting Workshop on Mathematical Aspects in Computational Chemistry, Aachen, *Feynman-Kac models: stability and further issues*, 2018.

Talks in seminars

IHP, Paris, Stochastic Dynamics Out of Equilibrium, 2017, Young Researchers’ Seminar. *Error estimates for Feynman-Kac semi-groups. *Slides

CERMICS, ENPC, Paris, PhD seminar, 2018, *Crash course on ergodicity for Markov chains: doing probabilities like an analyst*.

Courant Institute of Mathematical Science, New York, Student Probability seminar, 2018, *Ergodicity for Markov chains, coupling probabilities and analysis.*

CERMICS, ENPC, Paris, MsMath working group, presentation of the paper *Scaling limit of the Stein variational gradient descent: the mean field regime*, by J. Lu, Y Lu and J. Nolen

Université Paris-Dauphine, Young researchers' seminar, 2019, *A gentle introduction to ergodic theory for Markov chains and Feynman-Kac dynamics*

Posters

IPAM, Los Angeles, Understanding Many-Particle Systems with Machine Learning, 2016.

IHP, Paris, Stochastic Dynamics Out of Equilibrium, 2017.

IPAM, Los Angeles, Complex High-Dimensional Energy Landscapes, 2017.

Duke University, Durham, Quasi Monte-Carlo and High-Dimensional Sampling Methods for Applied Mathematics, 2017.

Alan Turing Institute, London, Data-Driven Modelling of Complex Systems, 2018.

INRIA Rennes, Simulation aléatoire : problèmes actuels, 2018.

CIRM, Advances in Computational Statistical Physics, 2018.

Participation to workshops

CIRM, Marseille, Stochastic dynamics out of equilibrium, April 2017.

YES'X Workshop, Eindhoven, Scalable statistics: Accuracy and computational complexity, March 2018.

INRIA Rennes, Simulation aléatoire : problèmes actuels, May 2018.

Research visits

University of Cambridge, Cambridge (UK), Department of engineering, with G. Csanyi, July 2015 (two weeks).

Los Alamos National Laboratory, US, Center for Nonlinear Studies, with K. Barros, summer 2016 (three months).

UCLA, Los Angeles, IPAM Long Program: Understanding Many-Particle Systems with Machine Learning, fall 2016 (two months).

ICTS, Bengalore, Large deviations theory in statistical physics, recent advances and future challenges, summer 2017 (two weeks).

Courant Institute of Mathematical Science, New York, with E. Vanden Eijnden, fall 2018 (two months).

Teaching experience

Analysis, 1st year undergraduates (differenciation, optimization...) , University Paris Dauphine, 2017.

Tutorship for analysis, 1st year at Ecole des Ponts (Sobolev spaces, distributions, Dirichlet problem...), 2017.

Project of 4 students at Ecole des Ponts, Branching algorithms for computing eigenvalues of operators, 2018.

Mentoring of a graduate-level six month internship, Stein Variational Gradient Descent algorithm, 2018.

Intensive course in analysis (differential calculus and measure theory) for first year students at Ecole des Ponts (10 hours, three days), 2018.

Organization

Co-organizer of a one-year working group (2017-2018) in statistical physics and related fields (J-PSI), including a final event gathering about 30 participants on June 19th, 2018. See the web page of the group here.

Member (elected) of the comity of Ponts Alumni.

CV

cv.pdf

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