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math.AG2022
Noncommutative Geometry of Computational Models and Uniformization for Framed Quiver Varieties
George Jeffreys, Siu-Cheong Lau
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 th…
math.AG2021★ 2 cited
Kähler Geometry of Quiver Varieties and Machine Learning
George Jeffreys, Siu-Cheong Lau
We develop an algebro-geometric formulation for neural networks in machine learning using the moduli space of framed quiver representations. We find natural Hermitian metrics on th…