About Me

I am a second-year PhD student at the UVSQ, France. My supervisors are Devan Sohier and Pablo de Oliveira Castro. I completed a Master's degree in Applied Mathematics at the University of Lorraine. My research interests include using stochastic tools to perform algorithms under stochastic rounding. I am currently working on providing a tighter probabilistic bounds of linear algebra algorithms.

Research Interests

• Stochastic rounding, Floating-ponit arithmetic
• Numerical linear algebra, Stochastic models of numerical precision

Publications

The Positive Effects of Stochastic Rounding in Numerical Algorithms
El-Mehdi El Arar, D. Sohier, P. de Oliveira Castro, E. Petit
In 29th IEEE Symposium on Computer Arithmetic ARITH 2022, Virtual conference, France, 2022. [ http | .pdf ]
Stochastic rounding variance and probabilistic bounds: A new approach
El-Mehdi El Arar, D. Sohier, P. de Oliveira Castro, E. Petit
preprint, July 2022. [ http | .pdf ]

Talks

RAIM 2021 : 12èmes Rencontres Arithmétique de l'Informatique Mathématique 27-28 mai 2021
Étude du biais de l'arithmétique stochastique sur la méthode d'intégration des rectangles.

Teaching

M1 - Master Calcul Haute Performance et Simulation. UVSQ. 2021/2022
Calcul Numérique- TD/TP
IATIC 4 - Ingénierie des Architectures Technologiques de l'Information et de la Communication. ISTY - UVSQ. 2021/2022
Analyse d’Algorithmes et Validation de Programme. TD
Introduction au Big Data. TD/TP