Tensors Come of Age: Why the AI Revolution will help HPC
This addresses the problem of improving software reliability and performance in high-performance computing for AI applications, though it appears incremental as it builds on existing mathematical concepts.
The paper tackles the challenge of automating tensor algorithms by introducing a framework based on A Mathematics of Arrays, Psi Calculus, and Unum Arithmetic, resulting in software that is mechanically provable, scalable, portable, and more numerically accurate.
This article discusses how the automation of tensor algorithms, based on A Mathematics of Arrays and Psi Calculus, and a new way to represent numbers, Unum Arithmetic, enables mechanically provable, scalable, portable, and more numerically accurate software.