The Positive Effects of Stochastic Rounding in Numerical Algorithms. - El-Mehdi El Arar; Devan Sohier; Pablo de Oliveira Castro; Eric Petit 002 (ARITH, 2022)

Bounds on non-linear errors for variance computation with stochastic rounding. - El-Mehdi El Arar; Devan Sohier; Pablo de Oliveira Castro; Eric Petit 002 (CoRR, 2023)

Stochastic models for the evaluation of numerical errors. (Modèles stochastiques pour l'évaluation des erreurs numériques). - El-Mehdi El Arar (2023)

Stochastic Rounding Variance and Probabilistic Bounds: A New Approach. - El-Mehdi El Arar; Devan Sohier; Pablo de Oliveira Castro; Eric Petit 002 (SIAM J. Sci. Comput., 2023)

Probabilistic error analysis of limited-precision stochastic rounding. - El-Mehdi El Arar; Massimiliano Fasi; Silviu-Ioan Filip; Mantas Mikaitis (CoRR, 2024)

Error Analysis of Sum-Product Algorithms under Stochastic Rounding. - Pablo de Oliveira Castro; El-Mehdi El Arar; Eric Petit 002; Devan Sohier (CoRR, 2024)

Bounds on Nonlinear Errors for Variance Computation with Stochastic Rounding. - El-Mehdi El Arar; Devan Sohier; Pablo de Oliveira Castro; Eric Petit 002 (SIAM J. Sci. Comput., 2024)

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, 2025)