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May, 2023
基于矩阵流形的神经网络构建：陀螺矢量空间方法
Building Neural Networks on Matrix Manifolds: A Gyrovector Space Approach
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Xuan Son Nguyen, Shuo Yang
TL;DR
该论文提出了一种在矩阵流形上构建神经网络的新模型和层，通过将陀螺向量空间的理论应用于SPD和Grassmann流形上，推广了一些概念，并以人体动作识别和知识图谱完成两个应用来展示其有效性。
Abstract
Matrix manifolds, such as manifolds of Symmetric Positive Definite (
spd
) matrices and
grassmann
manifolds, appear in many applications. Recently, by applying the theory of gyrogroups and gyrovector spaces that is
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