Bayesian Classification with Split-and-merge Gaussian Process (SMGP) Prior in EEG-based Brain-Computer Interfaces Restricted; Files Only

Wu, Yunong (Spring 2025)

Permanent URL: https://etd.library.emory.edu/concern/etds/jq085m52f?locale=it
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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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