13 citations · 19 across the 4 of their papers we have counts for
5 papers
Automatic Discovery of Composite SPMD Partitioning Strategies in PartIR
Sami Alabed, Dominik Grewe, Juliana Franco +6
Large neural network models are commonly trained through a combination of advanced parallelism strategies in a single program, multiple data (SPMD) paradigm. For example, training…
Category-Theoretic Foundations of "STCLang: State Thread Composition as a Foundation for Monadic Dataflow Parallelism"
Sebastian Ertel, Justus Adam, Norman A. Rink +2
This manuscript gives a category-theoretic foundation to the composition of State Threads as a Foundation for Monadic Dataflow Parallelism. It serves as a supplementary formalizati…
Modeling of languages for tensor manipulation
Norman A. Rink
Numerical applications and, more recently, machine learning applications rely on high-dimensional data that is typically organized into multi-dimensional tensors. Many existing fra…
Non-abelian vortices on CP^1 and Grassmannians
Norman A. Rink
Many properties of the moduli space of abelian vortices on a compact Riemann surface are known. For non-abelian vortices the moduli space is less well understood. Here we consider…
Geometry and Energy of Non-abelian Vortices
Nicholas S. Manton, Norman A. Rink
We study pure Yang--Mills theory on , where is a compact Riemann surface, and invariance is assumed under rotations of . It is well known that the self-dualit…