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pro vyhledávání: '"Petit, Eric"'
Autor:
Delval, Aurélien, Coppens, François, Petit, Eric, Iakymchuk, Roman, Castro, Pablo de Oliveira
Floating-point accuracy is an important concern when developing numerical simulations or other compute-intensive codes. Tracking the introduction of numerical regression is often delayed until it provokes unexpected bug for the end-user. In this pape
Externí odkaz:
http://arxiv.org/abs/2407.08262
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 forward error of computations under SR through two methods: the first is bas
Externí odkaz:
http://arxiv.org/abs/2304.05177
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 empirically improves the numerical behavior and convergence to accurate soluti
Externí odkaz:
http://arxiv.org/abs/2207.10321
Publikováno v:
29th IEEE Symposium on Computer Arithmetic ARITH 2022, Sep 2022, Virtual conference, France
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 illustrate the benefit of stochastic rounding in various fields such as
Externí odkaz:
http://arxiv.org/abs/2207.03837
Autor:
Belouard, Nadège1,2 (AUTHOR) nadege.belouard@gmail.com, Petit, Eric J.2 (AUTHOR), Cucherousset, Julien3 (AUTHOR), Paillisson, Jean-Marc1 (AUTHOR)
Publikováno v:
NeoBiota. 2024, Issue 93, p245-262. 18p.
The typical processors used for scientific computing have fixed-width data-paths. This implies that mathematical libraries were specifically developed to target each of these fixed precisions (binary16, binary32, binary64). However, to address the in
Externí odkaz:
http://arxiv.org/abs/2005.02732
Autor:
Kiar, Gregory, Castro, Pablo de Oliveira, Rioux, Pierre, Petit, Eric, Brown, Shawn T., Evans, Alan C., Glatard, Tristan
A lack of software reproducibility has become increasingly apparent in the last several years, calling into question the validity of scientific findings affected by published tools. Reproducibility issues may have numerous sources of error, including
Externí odkaz:
http://arxiv.org/abs/1908.10922
Akademický článek
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Autor:
Sohier, Devan, Castro, Pablo de Oliveira, Févotte, François, Lathuilière, Bruno, Petit, Eric, Jamond, Olivier
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 Uncertainty Quantification (VVUQ) process. Stochastic Arithmetic is one
Externí odkaz:
http://arxiv.org/abs/1807.09655
Autor:
Guinebert, Sylvain, Petit, Eric, Bousson, Valérie, Bodard, Sylvain, Amoretti, Nicolas, Kastler, Bruno
Publikováno v:
In Computer Methods and Programs in Biomedicine Update 2022 2