Noncommutative geometry of computational models and uniformization for framed quiver varieties

被引：0

作者：

Jeffreys, George ^{[1
]}

Lau, Siu-Cheong ^{[1
]}

机构：

[1] Boston Univ, Dept Math & Stat, 111 Cummington Mall, Boston, MA 02215 USA

来源：

PURE AND APPLIED MATHEMATICS QUARTERLY | 2023年 / 19卷 / 02期

关键词：

Noncommutative geometry; near-rings; neural networks; deep learning; representation theory; moduli spaces; FINITE; REPRESENTATIONS; MODULI;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：731 / 789

页数：59

共 32 条

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