Noncommutative Geometry of Computational Models and Uniformization for Framed Quiver Varieties

• URL: http://arxiv.org/abs/2201.05900v1
• Date: Sat, 15 Jan 2022 18:08:50 GMT
• Title: Noncommutative Geometry of Computational Models and Uniformization for Framed Quiver Varieties
• Authors: George Jeffreys and Siu-Cheong Lau
• Abstract summary: We formulate a mathematical setup for computational neural networks using noncommutative algebras and near-rings. We study the moduli space of the corresponding framed quiver representations, and find moduli of Euclidean and non-compact types in light of uniformization.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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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