Noncommutative Geometry of Computational Models and Uniformization for
Framed Quiver Varieties
Pure and Applied Mathematics Quarterly (PAMQ), 2022
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.
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