Regularized RKHS-Based Subspace Learning for Motor Imagery Classification

Brain–computer interface (BCI) technology allows people with disabilities to communicate with the physical environment. One of the most promising signals is the non-invasive electroencephalogram (EEG) signal. However, due to the non-stationary nature of EEGs, a subject’s signal may change over time,...

Full description

Bibliographic Details
Main Authors: Linzhi Jiang, Shuyu Liu, Zhengming Ma, Wenjie Lei, Cheng Chen
Format: Article
Language:English
Published: MDPI AG 2022-01-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/24/2/195
_version_ 1797480524980158464
author Linzhi Jiang
Shuyu Liu
Zhengming Ma
Wenjie Lei
Cheng Chen
author_facet Linzhi Jiang
Shuyu Liu
Zhengming Ma
Wenjie Lei
Cheng Chen
author_sort Linzhi Jiang
collection DOAJ
description Brain–computer interface (BCI) technology allows people with disabilities to communicate with the physical environment. One of the most promising signals is the non-invasive electroencephalogram (EEG) signal. However, due to the non-stationary nature of EEGs, a subject’s signal may change over time, which poses a challenge for models that work across time. Recently, domain adaptive learning (DAL) has shown its superior performance in various classification tasks. In this paper, we propose a regularized reproducing kernel Hilbert space (RKHS) subspace learning algorithm with K-nearest neighbors (KNNs) as a classifier for the task of motion imagery signal classification. First, we reformulate the framework of RKHS subspace learning with a rigorous mathematical inference. Secondly, since the commonly used maximum mean difference (MMD) criterion measures the distribution variance based on the mean value only and ignores the local information of the distribution, a regularization term of source domain linear discriminant analysis (SLDA) is proposed for the first time, which reduces the variance of similar data and increases the variance of dissimilar data to optimize the distribution of source domain data. Finally, the RKHS subspace framework was constructed sparsely considering the sensitivity of the BCI data. We test the proposed algorithm in this paper, first on four standard datasets, and the experimental results show that the other baseline algorithms improve the average accuracy by 2–9% after adding SLDA. In the motion imagery classification experiments, the average accuracy of our algorithm is 3% higher than the other algorithms, demonstrating the adaptability and effectiveness of the proposed algorithm.
first_indexed 2024-03-09T22:02:18Z
format Article
id doaj.art-215278434fa14dd0b34b71c4d26601e3
institution Directory Open Access Journal
issn 1099-4300
language English
last_indexed 2024-03-09T22:02:18Z
publishDate 2022-01-01
publisher MDPI AG
record_format Article
series Entropy
spelling doaj.art-215278434fa14dd0b34b71c4d26601e32023-11-23T19:47:31ZengMDPI AGEntropy1099-43002022-01-0124219510.3390/e24020195Regularized RKHS-Based Subspace Learning for Motor Imagery ClassificationLinzhi Jiang0Shuyu Liu1Zhengming Ma2Wenjie Lei3Cheng Chen4School of Electronics and Information Technology, Sun Yat-sen University, Guangzhou 510006, ChinaPublic Experimental Teaching Center, Sun Yat-sen University, Guangzhou 510006, ChinaSchool of Electronics and Information Technology, Sun Yat-sen University, Guangzhou 510006, ChinaSchool of Electronics and Information Technology, Sun Yat-sen University, Guangzhou 510006, ChinaSchool of Electronics and Information Technology, Sun Yat-sen University, Guangzhou 510006, ChinaBrain–computer interface (BCI) technology allows people with disabilities to communicate with the physical environment. One of the most promising signals is the non-invasive electroencephalogram (EEG) signal. However, due to the non-stationary nature of EEGs, a subject’s signal may change over time, which poses a challenge for models that work across time. Recently, domain adaptive learning (DAL) has shown its superior performance in various classification tasks. In this paper, we propose a regularized reproducing kernel Hilbert space (RKHS) subspace learning algorithm with K-nearest neighbors (KNNs) as a classifier for the task of motion imagery signal classification. First, we reformulate the framework of RKHS subspace learning with a rigorous mathematical inference. Secondly, since the commonly used maximum mean difference (MMD) criterion measures the distribution variance based on the mean value only and ignores the local information of the distribution, a regularization term of source domain linear discriminant analysis (SLDA) is proposed for the first time, which reduces the variance of similar data and increases the variance of dissimilar data to optimize the distribution of source domain data. Finally, the RKHS subspace framework was constructed sparsely considering the sensitivity of the BCI data. We test the proposed algorithm in this paper, first on four standard datasets, and the experimental results show that the other baseline algorithms improve the average accuracy by 2–9% after adding SLDA. In the motion imagery classification experiments, the average accuracy of our algorithm is 3% higher than the other algorithms, demonstrating the adaptability and effectiveness of the proposed algorithm.https://www.mdpi.com/1099-4300/24/2/195EEGbrain–computer interfacesdomain adaptationreproducing kernel Hilbert spaceSLDA
spellingShingle Linzhi Jiang
Shuyu Liu
Zhengming Ma
Wenjie Lei
Cheng Chen
Regularized RKHS-Based Subspace Learning for Motor Imagery Classification
Entropy
EEG
brain–computer interfaces
domain adaptation
reproducing kernel Hilbert space
SLDA
title Regularized RKHS-Based Subspace Learning for Motor Imagery Classification
title_full Regularized RKHS-Based Subspace Learning for Motor Imagery Classification
title_fullStr Regularized RKHS-Based Subspace Learning for Motor Imagery Classification
title_full_unstemmed Regularized RKHS-Based Subspace Learning for Motor Imagery Classification
title_short Regularized RKHS-Based Subspace Learning for Motor Imagery Classification
title_sort regularized rkhs based subspace learning for motor imagery classification
topic EEG
brain–computer interfaces
domain adaptation
reproducing kernel Hilbert space
SLDA
url https://www.mdpi.com/1099-4300/24/2/195
work_keys_str_mv AT linzhijiang regularizedrkhsbasedsubspacelearningformotorimageryclassification
AT shuyuliu regularizedrkhsbasedsubspacelearningformotorimageryclassification
AT zhengmingma regularizedrkhsbasedsubspacelearningformotorimageryclassification
AT wenjielei regularizedrkhsbasedsubspacelearningformotorimageryclassification
AT chengchen regularizedrkhsbasedsubspacelearningformotorimageryclassification