BriefGPT.xyz
Apr, 2023
Brauer 群不变神经网络层计算算法
An Algorithm for Computing with Brauer's Group Equivariant Neural Network Layers
HTML
PDF
Edward Pearce-Crump
TL;DR
使用范畴论构建算法实现可变换于正交群、特殊正交群、辛群及对称群的张量空间间的学习可线性神经网络层，运用克罗内克积矩阵大幅降低运算成本。
Abstract
The learnable, linear
neural network
layers between
tensor power spaces
of $\mathbb{R}^{n}$ that are equivariant to the
orthogonal group
,
→