About me

I am a PhD student in Applied Mathematics in the Modelling, Analysis and Simulation (MAS) group of the CERMICS laboratory at Ecole Nationale des Ponts et Chaussées, in collaboration with IFP Energies Nouvelles (IFPEN). I am working under the supervision of Virginie Ehrlacher (CERMICS) and Guillaume Enchéry (IFPEN).

I am also a member of the MATHERIALS team at Inria Paris.

PhD research

My research focuses on the development of model order reduction methods for nonlinear parametric variational inequalities, with applications motivated in particular by simulations arising in CO2 storage.

I am interested in combining projection-based model reduction, neural networks and hyper-reduction techniques to construct accurate and computationally efficient reduced-order models. My current work includes Proper Orthogonal Decomposition (POD), neural-network-augmented reduced models, hyper-reduction and semi-smooth Newton methods.

Publications

Sofiane Ezzehi, Virginie Ehrlacher, Guillaume Enchéry and Thibault Faney, A Hyper-Reduced Neural Network-Augmented Semi-smooth Newton Method for Nonlinear Parametric Variational Inequalities, arXiv:2607.21242, 2026.

Education

2024-2027: CERMICS, Ecole Nationale des Ponts et Chaussées, PhD in Applied Mathematics
2023-2024: Ecole Normale Supérieure Paris-Saclay, Master Mathématiques, Vision, Apprentissage (MVA)
2020-2024: Ecole Nationale des Ponts et Chaussées, Applied Mathematics and Computer Science, Engineering degree

Teaching

Feb 2026 - Jun 2026: Supervision of first-year student projects on model order reduction and Physics-Informed Neural Networks (PINNs) at Ecole Nationale des Ponts et Chaussées
Feb 2026 - Apr 2026: Teaching assistant for PRAMA (Machine Learning Methods) at Ecole Nationale des Ponts et Chaussées
Nov 2025 - Jan 2026: Teaching assistant for Analysis at Ecole Nationale des Ponts et Chaussées
Nov 2024 - Jan 2025: Teaching assistant for Analysis and Partial Differential Equations at Ecole Nationale des Ponts et Chaussées

Academic events

47th National Congress on Numerical Analysis (CANUM 2026), June 2026 - Saint-Jacut-de-la-Mer, France - Oral presentation
XXII Jacques-Louis Lions Winter School on Numerical Simulation in Physics and Engineering, January 2026 - Institut Henri Poincaré, Paris, France - Attendee
Workshop on Industrial Applications of Numerical Analysis and Machine Learning, December 2025 - Centrum Wiskunde & Informatica (CWI), Amsterdam, Netherlands - Poster presentation — Poster Prize
Autumn School on Scientific Machine Learning and Numerical Methods, October 2025 - Centrum Wiskunde & Informatica (CWI), Amsterdam, Netherlands - Attendee
XII International Conference on Adaptive Modeling and Simulation (ADMOS 2025), June 2025 - Barcelona, Spain - Oral presentation
DTE & AICOMAS 2025, February 2025 - Arts et Métiers Institute of Technology, Paris, France - Oral presentation
Workshop SciML on Scientific Machine Learning, July 2024 - Strasbourg University, France - Poster presentation
CEA–EDF–Inria Summer School on Model Reduction, June 2024 - EDF Lab, Palaiseau, France - Attendee

Scientific service

Mar 2026: Member of the logistics committee for CJCMA 2026 at Ecole Nationale des Ponts et Chaussées

Contact

Address:

CERMICS, Ecole Nationale des Ponts et Chaussées

6-8 avenue Blaise Pascal, Cité Descartes - Champs-sur-Marne
77455 Marne-la-Vallée Cedex 2, France

Email: sofiane.ezzehi@enpc.fr