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arXiv · 2507.11512

Scaling the memory wall using mixed-precision -- HPG-MxP on an exascale machine

Aditya Kashi·Nicholson Koukpaizan·Hao Lu·Michael Matheson·Sarp Oral·Feiyi Wang
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Abstract

Mixed-precision algorithms have been proposed as a way for scientific computing to benefit from some of the gains seen for artificial intelligence (AI) on recent high performance computing (HPC) platforms. A few applications dominated by dense matrix operations have seen substantial speedups by utilizing low precision formats such as FP16. However, a majority of scientific simulation applications are memory bandwidth limited. Beyond preliminary studies, the practical gain from using mixed-precision algorithms on a given HPC system is largely unclear. The High Performance GMRES Mixed Precision (HPG-MxP) benchmark has been proposed to measure the useful performance of a HPC system on sparse matrix-based mixed-precision applications. In this work, we present a highly optimized implementation of the HPG-MxP benchmark for an exascale system and describe our algorithm enhancements. We show for the first time a speedup of 1.6x using a combination of double- and single-precision on modern GPU-based supercomputers.

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Aditya Kashi, Nicholson Koukpaizan, Hao Lu, Michael Matheson, Sarp Oral, Feiyi Wang. 2025-07-15. Scaling the memory wall using mixed-precision -- HPG-MxP on an exascale machine. https://arxiv.org/abs/2507.11512

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