嵌入
计算机科学
黎曼几何
人工智能
黎曼流形
模式识别(心理学)
非线性降维
分类器(UML)
欧几里得空间
歧管(流体力学)
算法
机器学习
降维
数学
数学分析
几何学
纯数学
机械工程
工程类
作者
Guoqing Cai,Fenghui Zhang,Bolun Yang,Shoulin Huang,Ting Ma
标识
DOI:10.1109/jbhi.2024.3357995
摘要
EEG signal classification using Riemannian manifolds has shown great potential. However, the huge computational cost associated with Riemannian metrics poses challenges for applying Riemannian methods, particularly in high-dimensional feature data. To address these, we propose an efficient ensemble method called MLCSP-TSE-MLP, which aims to reduce the computational cost while achieving superior performance. MLCSP of the ensemble utilizes a Riemannian graph embedding strategy to learn intrinsic low-dimensional sub-manifolds, enhancing discrimination. TSE uses the Euclidean mean as the reference point for tangent space mapping and reducing computational cost. Finally, the ensemble incorporates the MLP classifier to offer improved classification performance. Classification results conducted on three datasets demonstrate that MLCSP-TSE-MLP achieves significant superior performance compared to various competing methods. Notably, the MLCSP-TSE module achieves a remarkable increase in training speed and exhibits much lower test time compared to traditional Riemannian methods. Based on these results, we believe that the proposed MLCSP-TSE-MLP is a powerful tool for handling high-dimensional data and holds great potential for practical applications.
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