2 papers
stat.CO2025
Error Analysis of Sum-Product Algorithms under Stochastic Rounding
Pablo de Oliveira Castro, El-Mehdi El Arar, Eric Petit +1
The quality of numerical computations can be measured through their forward error, for which finding good error bounds is challenging in general. For several algorithms and using s…
math.NA2024
Bounds on non-linear errors for variance computation with stochastic rounding
El-Mehdi El Arar, Devan Sohier, Pablo de Oliveira Castro +1
The main objective of this work is to investigate non-linear errors and pairwise summation using stochastic rounding (SR) in variance computation algorithms. We estimate the forwar…