Perceval Beja-Battais

PhD Student in Applied Mathematics

Perceval
Beja-Battais

Machine learning for the control of complex dynamical systems — Centre Borelli, ENS Paris-Saclay, in collaboration with Framatome.

Office 3S28 · ENS Paris-Saclay · Gif-sur-Yvette, France
Portrait of Perceval Beja-Battais

I am a 3rd year PhD Student in Applied Mathematics at Centre Borelli (ENS Paris-Saclay) under supervision of Nicolas Vayatis. I am working in collaboration with Framatome, a world leader in civil nuclear industry.

Before starting my PhD, I graduated from the MVA Master’s program at ENS Paris-Saclay, the Master’s in Mathematics of Modeling at Sorbonne Université, and earned a Civil Engineering degree from Mines Nancy.

I am also a Teaching Assistant (TA) for the MVA course Introduction to Statistical Learning for the 2026-2027 academic year.

My work focuses on the control of complex dynamical systems under real-world constraints, combining machine learning and model-based approaches to improve both computational efficiency and robustness. During my PhD, I develop ML surrogate models for industrial dynamical systems and integrate them into nonlinear MPC pipelines with formal safety guarantees. My work bridges surrogate dynamics learning, differential algebraic equations, and optimal control — with a focus on sample efficiency and stability.

  • Imitation Learning
  • Dynamical Systems
  • Statistical Learning
  • Model Predictive Control

All my publications are listed here and on my Google Scholar. For any request, feel free to contact me by email.

Efficient Sampling of Trajectories for Online Finetuning of Surrogate Simulation Schemes

Research internship supervision.

Singular Perturbation of Nonlinear DAEs

Research internship supervision.

Accelerating Full-Scale Nonlinear Model Predictive Control via Surrogate Dynamics Optimization

In long-horizon nonlinear MPC, we show that learned surrogate dynamics can significantly accelerate computation while preserving safety.

Paper

Leveraging Machine Learning to accelerate Differential Algebraic Equations simulation algorithms

This paper develops a ML surrogate simulation scheme for fast integration of Differential Algebraic Equations modeling a nuclear reactor core.

Diagram of the surrogate simulation scheme: the model is applied recursively over the horizon before computing the loss
Paper

Designing practical improvements on a global optimization algorithm

This paper develops two major improvements on the global optimization method LIPO from Malherbe & Vayatis, 2017: an empirical stopping criterion and a decaying exploration rate.

Evaluation points of AdaLIPO and AdaLIPO+ on a multimodal test function
Paper

A theoretical review of AdaBoost

Unifying the views of AdaBoost, in order to better understand its dynamics.

Paper