El-Mehdi El Arar

According to our database, El-Mehdi El Arar authored at least 10 papers between 2022 and 2026.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of four.

2026

Probabilistic Error Analysis of Limited-Precision Stochastic Rounding: Horner's Algorithm and Pairwise Summation.

El-Mehdi El Arar, Massimiliano Fasi, Silviu-Ioan Filip, Mantas Mikaitis

CoRR, March, 2026

Limited-Precision Stochastic Rounding.

El-Mehdi El Arar, Massimiliano Fasi, Silviu-Ioan Filip, Mantas Mikaitis

CoRR, March, 2026

2025

Mixed precision accumulation for neural network inference guided by componentwise forward error analysis.

El-Mehdi El Arar, Silviu-Ioan Filip, Theo Mary, Elisa Riccietti

CoRR, March, 2025

Error Analysis of Sum-Product Algorithms under Stochastic Rounding.

Pablo de Oliveira Castro, El-Mehdi El Arar, Eric Petit, Devan Sohier

SIAM J. Sci. Comput., 2025

Probabilistic Error Analysis of Limited-Precision Stochastic Rounding.

El-Mehdi El Arar, Massimiliano Fasi, Silviu-Ioan Filip, Mantas Mikaitis

SIAM J. Sci. Comput., 2025

2024

Bounds on Nonlinear Errors for Variance Computation with Stochastic Rounding.

El-Mehdi El Arar, Devan Sohier, Pablo de Oliveira Castro, Eric Petit

SIAM J. Sci. Comput., 2024

2023

Stochastic Rounding Variance and Probabilistic Bounds: A New Approach.

El-Mehdi El Arar, Devan Sohier, Pablo de Oliveira Castro, Eric Petit

SIAM J. Sci. Comput., October, 2023

Stochastic models for the evaluation of numerical errors. (Modèles stochastiques pour l'évaluation des erreurs numériques).

El-Mehdi El Arar

PhD thesis, 2023

Bounds on non-linear errors for variance computation with stochastic rounding.

El-Mehdi El Arar, Devan Sohier, Pablo de Oliveira Castro, Eric Petit

CoRR, 2023

2022

The Positive Effects of Stochastic Rounding in Numerical Algorithms.

El-Mehdi El Arar, Devan Sohier, Pablo de Oliveira Castro, Eric Petit

Proceedings of the 29th IEEE Symposium on Computer Arithmetic, 2022