5 papers
A Second-Moment Theory for Floating-Point Reduction Trees
Piyush Sao, Narasinga Miniskar, Pedro Valero-Lara +2
Summation error depends on partial-sum order, which standard worst-case bounds omit. To capture this dependence, we derive an exact mean-square error (MSE) recurrence for a binary…
Contraction-Gauge Preconditioning for Quantized Matrix Multiplication
Piyush Sao, Narasinga Miniskar, Pedro Valero-Lara +2
We study low-precision computation of C=AB with both factors quantized. We derive an exact finite-dimensional identity for the expected squared product error under independent, zer…
Characterizing GPU Energy Usage in Exascale-Ready Portable Science Applications
William F. Godoy, Oscar Hernandez, Paul R. C. Kent +8
We characterize the GPU energy usage of two widely adopted exascale-ready applications representing two classes of particle and mesh solvers: (i) QMCPACK, a quantum Monte Carlo pac…
Mojo: MLIR-Based Performance-Portable HPC Science Kernels on GPUs for the Python Ecosystem
William F. Godoy, Tatiana Melnichenko, Pedro Valero-Lara +5
We explore the performance and portability of the novel Mojo language for scientific computing workloads on GPUs. As the first language based on the LLVM's Multi-Level Intermediate…
Leveraging AI for Productive and Trustworthy HPC Software: Challenges and Research Directions
Keita Teranishi, Harshitha Menon, William F. Godoy +25
We discuss the challenges and propose research directions for using AI to revolutionize the development of high-performance computing (HPC) software. AI technologies, in particular…