2 citations · 2 across the 6 of their papers we have counts for
3 papers · 1 filter
The Positive Effects of Stochastic Rounding in Numerical Algorithms
El-Mehdi El Arar, Devan Sohier, Pablo de Oliveira Castro +1
Recently, stochastic rounding (SR) has been implemented in specialized hardware but most current computing nodes do not yet support this rounding mode. Several works empirically il…
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…
Confidence Intervals for Stochastic Arithmetic
Devan Sohier, Pablo de Oliveira Castro, François Févotte +3
Quantifying errors and losses due to the use of Floating-Point (FP) calculations in industrial scientific computing codes is an important part of the Verification, Validation and U…