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Tensors Come of Age: Why the AI Revolution will help HPC

09/26/2017

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by John L. Gustafson, et al.

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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.

John L. Gustafson
3 publications
Lenore M. Mullin
1 publication

∙ 03/24/2019

MoA Interpretation of the Iterative Conjugate Gradient Method with Psi Reduction - A Tutorial to teach the Mathematically literate in Linear and Tensor Algebra: Part I

It is often difficult to learn new mathematics semantically and syntacti...

0 Lenore Mullin, et al. ∙

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Not another computer algebra system: Highlighting wxMaxima in calculus

This article introduces and explains a computer algebra system (CAS) wxM...

0 N. Karjanto, et al. ∙

∙ 07/19/2019

Clustering Higher Order Data: Finite Mixtures of Multidimensional Arrays

An approach for clustering multi-way data is introduced based on a finit...

5 Peter A. Tait, et al. ∙

∙ 06/15/2021

Tensors in computations

The notion of a tensor captures three great ideas: equivariance, multili...

0 Lek-Heng Lim, et al. ∙

∙ 09/06/2021

OGRe: An Object-Oriented General Relativity Package for Mathematica

We present OGRe, a modern Mathematica package for tensor calculus, desig...

0 Barak Shoshany, et al. ∙

∙ 12/23/2022

Countably many asymptotic tensor ranks

In connection with recent work on gaps in the asymptotic subranks of com...

0 Andreas Blatter, et al. ∙