Noncommutative Geometry of Computational Models and Uniformization for Framed Quiver Varieties

2022/01/15 by George Jeffreys, Jeffreys, George, Siu-Cheong Lau +1
Mathematics · #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2201.05900

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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