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math.NA2023★ 2 cited
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…
math.NA2022
Stochastic rounding variance and probabilistic bounds: A new approach
El-Mehdi El Arar, Devan Sohier, Pablo de Oliveira Castro +1
Stochastic rounding (SR) offers an alternative to the deterministic IEEE-754 floating-point rounding modes. In some applications such as PDEs, ODEs and neural networks, SR empirica…