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Noncommutative Geometry of Computational Models and Uniformization for Framed Quiver Varieties (2201.05900v1)
Published 15 Jan 2022 in math.AG, cs.LG, and math.SG
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.