Numerical Reproducibility based on Minimal-Precision Validation

International audienceWe proposed a new concept of weak numerical reproducibilityand a systematic approach for it with a support of minimal-precisiontuning and validation. We expect that the concept of weak numericalreproducibility covers most of the demands for reproducibility incomputational sciences. Besides, the minimal-precision computingsystem can address the demands for accuracy, high-performance, andenergy efficient computation as well; ultimately, if it has been realizedwith new hardware like FPGAs. Although the proposed system is stillin development, some of key components are already available, andmany of them have been developed by us