23 citations · 27 across the 11 of their papers we have counts for
12 papers
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…
High-Quality Fault Resiliency in Fat Trees
John Gliksberg, Antoine Capra, Alexandre Louvet +2
Coupling regular topologies with optimised routing algorithms is key in pushing the performance of interconnection networks of supercomputers.In this paper we present Dmodc, a fast…
High-Quality Fault-Resiliency in Fat-Tree Networks (Extended Abstract)
John Gliksberg, Antoine Capra, Alexandre Louvet +2
Coupling regular topologies with optimized routing algorithms is key in pushing the performance of interconnection networks of HPC systems. In this paper we present Dmodc, a fast d…
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…