Efficient Blind Source Separation Method for fMRI Using Autoencoder and Spatiotemporal Sparsity Constraints

Diversity measures exploited by blind source separation (BSS) methods are usually based on either statistical attributes/geometrical structures or sparse/overcomplete (underdetermined) representations of the signals. This leads to some inefficient BSS methods that are derived from either a mixing ma...

Full description

Bibliographic Details
Main Authors: Muhammad Usman Khalid, Bilal A. Khawaja, Malik Muhammad Nauman
Format: Article
Language:English
Published: IEEE 2023-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/10128979/
_version_ 1797814582239035392
author Muhammad Usman Khalid
Bilal A. Khawaja
Malik Muhammad Nauman
author_facet Muhammad Usman Khalid
Bilal A. Khawaja
Malik Muhammad Nauman
author_sort Muhammad Usman Khalid
collection DOAJ
description Diversity measures exploited by blind source separation (BSS) methods are usually based on either statistical attributes/geometrical structures or sparse/overcomplete (underdetermined) representations of the signals. This leads to some inefficient BSS methods that are derived from either a mixing matrix (mm), sparse weight vectors (sw), or sparse code (sc). In contrast, the proposed efficient method, sparse spatiotemporal BSS (ssBSS), avoids computational complications associated with lag sets, deflation strategy, and repeated error matrix computation using the whole dataset. It solves the spatiotemporal data reconstruction model (STEM) with <inline-formula> <tex-math notation="LaTeX">$l_{1}$ </tex-math></inline-formula>-norm penalization and <inline-formula> <tex-math notation="LaTeX">$l_{0}$ </tex-math></inline-formula>-norm constraints using Neumann&#x2019;s alternating projection lemma and block coordinate descent approach to yield the desired bases. Its specific solution allows incorporating a three-step autoencoder and univariate soft thresholding for a block update of the source/mixing matrices. Due to the utilization of both spatial and temporal information, it can better distinguish between the sources and yield interpretable results. These steps also make ssBSS unique because, to the best of my knowledge, no mixing matrix based BSS method incorporates sparsity of both features and a multilayer network structure. The proposed method is validated using synthetic and various functional magnetic resonance imaging (fMRI) datasets. Results reveal the superior performance of the proposed ssBSS method compared to the existing methods based on mmBSS and swBSS. Specifically, overall, a 14&#x0025; increase in the mean correlation value and 91&#x0025; reduction in computation time over the ssICA algorithm was discovered.
first_indexed 2024-03-13T08:09:47Z
format Article
id doaj.art-be195276b34a4dc4b720f08ff5d21c51
institution Directory Open Access Journal
issn 2169-3536
language English
last_indexed 2024-03-13T08:09:47Z
publishDate 2023-01-01
publisher IEEE
record_format Article
series IEEE Access
spelling doaj.art-be195276b34a4dc4b720f08ff5d21c512023-05-31T23:00:29ZengIEEEIEEE Access2169-35362023-01-0111503645038110.1109/ACCESS.2023.327754310128979Efficient Blind Source Separation Method for fMRI Using Autoencoder and Spatiotemporal Sparsity ConstraintsMuhammad Usman Khalid0Bilal A. Khawaja1https://orcid.org/0000-0003-1537-5502Malik Muhammad Nauman2https://orcid.org/0000-0003-3489-6792College of Computer and Information Sciences, Imam Mohammad Ibn Saud Islamic University, Riyadh, Saudi ArabiaDepartment of Electrical Engineering, Faculty of Engineering, Islamic University of Madinah, Madinah, Saudi ArabiaFaculty of Integrated Technologies, Universiti Brunei Darussalam, Bandar Seri Begawan, BruneiDiversity measures exploited by blind source separation (BSS) methods are usually based on either statistical attributes/geometrical structures or sparse/overcomplete (underdetermined) representations of the signals. This leads to some inefficient BSS methods that are derived from either a mixing matrix (mm), sparse weight vectors (sw), or sparse code (sc). In contrast, the proposed efficient method, sparse spatiotemporal BSS (ssBSS), avoids computational complications associated with lag sets, deflation strategy, and repeated error matrix computation using the whole dataset. It solves the spatiotemporal data reconstruction model (STEM) with <inline-formula> <tex-math notation="LaTeX">$l_{1}$ </tex-math></inline-formula>-norm penalization and <inline-formula> <tex-math notation="LaTeX">$l_{0}$ </tex-math></inline-formula>-norm constraints using Neumann&#x2019;s alternating projection lemma and block coordinate descent approach to yield the desired bases. Its specific solution allows incorporating a three-step autoencoder and univariate soft thresholding for a block update of the source/mixing matrices. Due to the utilization of both spatial and temporal information, it can better distinguish between the sources and yield interpretable results. These steps also make ssBSS unique because, to the best of my knowledge, no mixing matrix based BSS method incorporates sparsity of both features and a multilayer network structure. The proposed method is validated using synthetic and various functional magnetic resonance imaging (fMRI) datasets. Results reveal the superior performance of the proposed ssBSS method compared to the existing methods based on mmBSS and swBSS. Specifically, overall, a 14&#x0025; increase in the mean correlation value and 91&#x0025; reduction in computation time over the ssICA algorithm was discovered.https://ieeexplore.ieee.org/document/10128979/Sparse representationautoencoderBSSfMRIactivation mapsPCA
spellingShingle Muhammad Usman Khalid
Bilal A. Khawaja
Malik Muhammad Nauman
Efficient Blind Source Separation Method for fMRI Using Autoencoder and Spatiotemporal Sparsity Constraints
IEEE Access
Sparse representation
autoencoder
BSS
fMRI
activation maps
PCA
title Efficient Blind Source Separation Method for fMRI Using Autoencoder and Spatiotemporal Sparsity Constraints
title_full Efficient Blind Source Separation Method for fMRI Using Autoencoder and Spatiotemporal Sparsity Constraints
title_fullStr Efficient Blind Source Separation Method for fMRI Using Autoencoder and Spatiotemporal Sparsity Constraints
title_full_unstemmed Efficient Blind Source Separation Method for fMRI Using Autoencoder and Spatiotemporal Sparsity Constraints
title_short Efficient Blind Source Separation Method for fMRI Using Autoencoder and Spatiotemporal Sparsity Constraints
title_sort efficient blind source separation method for fmri using autoencoder and spatiotemporal sparsity constraints
topic Sparse representation
autoencoder
BSS
fMRI
activation maps
PCA
url https://ieeexplore.ieee.org/document/10128979/
work_keys_str_mv AT muhammadusmankhalid efficientblindsourceseparationmethodforfmriusingautoencoderandspatiotemporalsparsityconstraints
AT bilalakhawaja efficientblindsourceseparationmethodforfmriusingautoencoderandspatiotemporalsparsityconstraints
AT malikmuhammadnauman efficientblindsourceseparationmethodforfmriusingautoencoderandspatiotemporalsparsityconstraints