BriefGPT.xyz
Apr, 2021
构建任意矩阵群等变多层感知器的实用方法
A Practical Method for Constructing Equivariant Multilayer Perceptrons for Arbitrary Matrix Groups
HTML
PDF
Marc Finzi, Max Welling, Andrew Gordon Wilson
TL;DR
提供求解矩阵群等变层的通用算法，在多个未曾解决的群中构建具有多个群等变性的多层感知器，优于非等变基线模型，在粒子物理和动力系统中应用。
Abstract
Symmetries and
equivariance
are fundamental to the generalization of
neural networks
on domains such as images, graphs, and point clouds. Existing work has primarily focused on a small number of groups, such as t
→