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TERATEC 2017 Forum
Workshop 8 - Wednesday, June 28 from 14:00 to 17:30

Numerical precision and stability in HPC simulation

When accuracy and performance meets
Arnault IOUALELEN, NUMALIS

Abstract :  The vast majority of scientific computations are conduct using floating-point arithmetic, and still today most of programmers view this arithmetic as the same thing as real numbers. The only safeguard to avoid the inherent approximation issues being the systematic use of double precision. In most cases double precision can be enough, but its use is often an overshoot. Whereas single precision is likely to cause unstable results and is frequently discourage when dealing with very intensive computations. Despite the fact that current processors can work almost as fast in double precision as in single, the use of a smaller precision can still be an interesting path to optimize latency, storage, bandwidth…
As the perspective of an intermediate precision implemented in every hardware is not likely to happen anytime soon, the only way forward to balance safety and speed is through accurate implementations and the correct use of mix precision. This presentation reviews how accuracy and performance can influence each other, and how new model of computations could be achieved to safeguard both.

Bio:
- Master in computer science, 2007
- Master in mathematics, 2009
- PhD in computer science, 2012
- Temporary Teacher at University of Perpignan, 2013
- Laureate PhD-Entrepreneur of the year, 2014
- Cofounder and CEO of Numalis, 2015

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