Abstract

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.

Highlights

  • Accepted: 17 January 2022Non-invasive Brain–computer interface (BCI) enable people to communicate with electronic devices by analyzing the electrical or magnetic signals generated by the brain’s nervous system

  • Endogenous BCIs are based on spontaneous activities, such as motor imagery (MI), in which the subject needs to focus on a specific mental task [3]

  • We develop a new approach based on reproducing kernel Hilbert space (RKHS) subspace learning and apply it to motor imagery recognition

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Summary

Introduction

Non-invasive BCIs enable people to communicate with electronic devices by analyzing the electrical or magnetic signals generated by the brain’s nervous system. When the data include measurements from different time periods, there is no guarantee that the spatial distribution of EEG data is consistent across days, even when the same task is performed This multi-domain data poses a major challenge for machine learning methods. Based on MMD, Pan et al [24] proposed transfer component analysis (TCA), which maps data from the source and target domains to a high-dimensional RKHS. We develop a new approach based on RKHS subspace learning and apply it to motor imagery recognition It attempts to learn the coefficients of the RKHS subspace so that the differences in data distribution across domains can be reduced when projecting to that subspace.

Notations
Hilbert Spaces
Hilbert Subspace Projection Theorem
Domain Adaptation Learning and MMD
Construction of RKHS
Representation of Data in the RKHS Subspace
Domain Adaptation Based on RKHS Subspace Learning and MMD
Solution
Computational Complexity
Description of BCI IV 2a Data
Domain Adaptation Subspace Learning Based on Sparse Regularized RKHS
Experiments
Baseline and Parameter Settings
Object Recognition
Sample
The results of the classification shown in Appendix
Handwritten Numeral Classification
Comparison thebaseline baselineand and the the SLDA in in
Inthe almost
Visualization the feature distribution sourceadaptation domain by
Findings
Conclusions
Full Text
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