Bayesian Classification with Split-and-merge Gaussian Process (SMGP) Prior in EEG-based Brain-Computer Interfaces Restricted; Files Only
Wu, Yunong (Spring 2025)
Abstract
An Event-Related Potential (ERP)-based Brain-Computer Interface (BCI) Speller System is a device that interprets brain activity to operate technology. The system works by searching target (relevant) signals among a set of non-target (irrelevant) ones via electroencephalogram (EEG). We developed a Bayesian generative framework to model EEG signals at the stimulus level. We performed feature selection based on a Split-and-merge Gaussian Process (SMGP) prior to identify the spatial-temporal differences between target and non-target ERP responses. This greatly improved our ability to accurately detect P300 ERPs. Our findings from both simulation studies and real data analysis demonstrated that stimulus-level analysis enhanced P300 detection and revealed neural dynamics, which could inform the development of BCIs with advanced predictive and personalized capabilities.
Table of Contents
1 Introduction 1
2 Bayesian Modeling of EEG-BCI Data 4
2.1 Problem Setup and Notations 4
2.2 A Bayesian Model 5
2.3 The Split-and-Merge GP 5
3 Posterior Inference 7
3.1 Model Representation and Prior Specification 7
3.2 Markov Chain Monte Carlo 9
3.3 Posterior Character-Level Probability for Prediction 10
4 Simulation Studies 11
4.1 Setup 11
4.2 Model Fitting and Diagnostics 11
4.3 Results 12
4.3.1 Parameter Estimation 12
4.3.2 Prediction Performance 14
5 Analysis of Real EEG-BCI Data 15
5.1 Dataset and Pre-processing 15
5.2 Model Setting 16
5.3 Results 17
5.3.1 Parameter Estimation 17
5.3.2 Prediction Performance 19
6 Discussion 21
7 References 24
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