Noncommutative Geometry of Computational Models and Uniformization for Framed Quiver Varieties
Algebraic Geometry
2022-01-19 v1 Machine Learning
Symplectic Geometry
Abstract
We formulate a mathematical setup for computational neural networks using noncommutative algebras and near-rings, in motivation of quantum automata. We study the moduli space of the corresponding framed quiver representations, and find moduli of Euclidean and non-compact types in light of uniformization.
Cite
@article{arxiv.2201.05900,
title = {Noncommutative Geometry of Computational Models and Uniformization for Framed Quiver Varieties},
author = {George Jeffreys and Siu-Cheong Lau},
journal= {arXiv preprint arXiv:2201.05900},
year = {2022}
}