Riemannian geometry-based EEG approaches: A literature review

IE Tibermacine, S Russo, A Tibermacine… - arXiv preprint arXiv …, 2024 - arxiv.org
The application of Riemannian geometry in the decoding of brain-computer interfaces (BCIs)
has swiftly garnered attention because of its straightforwardness, precision, and resilience …

Classification With the Matrix-Variate-t Distribution

GZ Thompson, R Maitra, WQ Meeker… - … of Computational and …, 2020 - Taylor & Francis
Matrix-variate distributions can intuitively model the dependence structure of matrix-valued
observations that arise in applications with multivariate time series, spatio-temporal, or …

Variable selection and feature extraction through artificial intelligence techniques

S Cateni, M Vannucci, M Vannocci… - Multivariate analysis in …, 2012 - books.google.com
The issue of variable selection has been widely investigated for different purposes, such as
clustering, classification or function approximation becoming the focus of many research …

Matrix-based vs. vector-based linear discriminant analysis: A comparison of regularized variants on multivariate time series data

J Zhao, H Liang, S Li, Z Yang, Z Wang - Information Sciences, 2024 - Elsevier
Over the past two decades, matrix-based or bilinear discriminant analysis (BLDA) methods
have received much attention. However, it has been reported that the traditional vector …

Two-stage regularized linear discriminant analysis for 2-D data

J Zhao, L Shi, J Zhu - IEEE Transactions on Neural Networks …, 2014 - ieeexplore.ieee.org
Fisher linear discriminant analysis (LDA) involves within-class and between-class
covariance matrices. For 2-D data such as images, regularized LDA (RLDA) can improve …

EEG Signal Classification Using Manifold Learning and Matrix‐Variate Gaussian Model

L Zhu, Q Hu, J Yang, J Zhang, P Xu… - Computational …, 2021 - Wiley Online Library
In brain‐computer interface (BCI), feature extraction is the key to the accuracy of recognition.
There is important local structural information in the EEG signals, which is effective for …

Robust factored principal component analysis for matrix-valued outlier accommodation and detection

X Ma, J Zhao, Y Wang, C Shang, F Jiang - Computational Statistics & Data …, 2023 - Elsevier
Principal component analysis (PCA) is a popular dimension reduction technique for vector
data. Factored PCA (FPCA) is a probabilistic extension of PCA for matrix data, which can …

Pseudo bidirectional linear discriminant analysis for multivariate time series classification

J Zhao, F Sun, H Liang, X Ma, X Li, J He - IEEE Access, 2021 - ieeexplore.ieee.org
Multivariate time series (MTS) is a kind of matrix data, typically consisting of multiple
variables measured at multiple time points. Due to the high dimensionality of MTS data …

Separable common spatio-spectral pattern algorithm for classification of EEG signals

AS Aghaei, MS Mahanta… - 2013 IEEE International …, 2013 - ieeexplore.ieee.org
This paper proposes a novel method for extraction of discriminant spatio-spectral EEG
features in motor imagery brain-computer interfaces. Considering a heteroscedastic binary …

Regularized LDA based on separable scatter matrices for classification of spatio-spectral EEG patterns

MS Mahanta, AS Aghaei… - 2013 IEEE International …, 2013 - ieeexplore.ieee.org
Linear discriminant analysis (LDA) is a commonly-used feature extraction technique. For
matrix-variate data such as spatio-spectral electroencephalogram (EEG), matrix-variate LDA …