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Proceedings ArticleDOI

Temporal Modeling of EEG Signals using Block Sparse Variational Bayes Framework

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TLDR
Results show that the proposed temporal model is highly useful in processing SSVEP-EEG signals irrespective of the recognition algorithms used.
Abstract
Compressed Sensing (CS) has emerged as an alternate method to acquire high dimensional signals effectively by exploiting the sparsity assumption. However, owing to non-sparse and non-stationary nature, it is extremely difficult to process Electroencephalograph (EEG) signals using CS paradigm. The success of Bayesian algorithms in recovering non-sparse signals has triggered the research in CS based models for neurophysiological signal processing. In this paper, we address the problem of Temporal Modeling of EEG Signals using Block Sparse Variational Bayes (SVB) Framework. Temporal correlation of EEG signals is modeled blockwise using normal variance scale mixtures parameterized via some random and deterministic parameters. Variational inference is exploited to infer the random parameters and Expectation Maximization (EM) is used to obtain the estimate of deterministic parameters. To validate the framework, we present experimental results for benchmark State Visual Evoked Potential (SSVEP) dataset with 40-target Brain-Computer Interface (BCI) speller using two frequency recognition algorithms viz. Canonical Correlation Analysis (CCA) and L1-regularized Multiway CCA. Results show that the proposed temporal model is highly useful in processing SSVEP-EEG signals irrespective of the recognition algorithms used.

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Book ChapterDOI

Some Comments on Variational Bayes Block Sparse Modeling with Correlated Entries

TL;DR: The effect of the threshold to prune out variance parameters of algorithms corresponding to several choices of marginals, viz. multivariate Jeffery prior, multivariate Laplace distribution and multivariate Student’s t distribution is discussed.
References
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Journal ArticleDOI

Sparse Signal Recovery With Temporally Correlated Source Vectors Using Sparse Bayesian Learning

TL;DR: This paper derives two sparse Bayesian learning algorithms, which have superior recovery performance compared to existing algorithms, especially in the presence of high temporal correlation, and provides analysis of the global and local minima of their cost function.
Journal ArticleDOI

Information Theory, Inference, and Learning Algorithms

TL;DR: This book presents an interplay between the classical theory of general Lévy processes described by Skorohod (1991), Bertoin (1996), Sato (2003), and modern stochastic analysis as presented by Liptser and Shiryayev (1989), Protter (2004), and others.
Journal ArticleDOI

Extension of SBL Algorithms for the Recovery of Block Sparse Signals With Intra-Block Correlation

TL;DR: It is shown that exploiting intra-block correlation is very helpful in improving recovery performance, and two families of algorithms based on the framework of block sparse Bayesian learning (BSBL) are proposed to exploit such correlation and improve performance.
Journal ArticleDOI

Compressed Sensing for Energy-Efficient Wireless Telemonitoring of Noninvasive Fetal ECG Via Block Sparse Bayesian Learning

TL;DR: Experimental results show that the block sparse Bayesian learning framework, compared to other algorithms such as current CS algorithms and wavelet algorithms, can greatly reduce code execution in CPU in the data compression stage.
Proceedings Article

Analysis of Sparse Bayesian Learning

TL;DR: It is shown that conditioned on an individual hyper-parameter, the marginal likelihood has a unique maximum which is computable in closed form, and it is further shown that if a derived 'sparsity criterion' is satisfied, this maximum is exactly equivalent to 'pruning' the corresponding parameter from the model.
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