Robust and sparse estimator for EEG source localization

EEG source localization involves reconstructing brain activity from observed EEG measurements, a critical task for diagnosing various neurological disorders. The distributed approach to this problem is inherently ill-posed, posing significant challenges. In this study, we present a sparsity-controll...

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Main Authors: Teja Mannepalli, Aurobinda Routray
Format: Article
Language:English
Published: Elsevier 2025-06-01
Series:Biomedical Engineering Advances
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2667099225000337
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author Teja Mannepalli
Aurobinda Routray
author_facet Teja Mannepalli
Aurobinda Routray
author_sort Teja Mannepalli
collection DOAJ
description EEG source localization involves reconstructing brain activity from observed EEG measurements, a critical task for diagnosing various neurological disorders. The distributed approach to this problem is inherently ill-posed, posing significant challenges. In this study, we present a sparsity-controlled Lorentzian norm-based method for EEG source localization. This approach effectively balances robustness to measurement noise and sparsity in the solution.The proposed method employs a non-linear conjugate gradient descent algorithm to minimize the loss function, where the Lorentzian norm replaces the conventional ℓ2 norm. The Lorentzian norm’s unique ability to handle impulsive noise ensures precise estimation of active sources, even under challenging conditions. Comparative analyses with ℓ2, ℓ1 and ℓp,p<1 norm-based methods highlight the Lorentzian norm’s superior robustness and sparsity control. The results demonstrate that this novel approach improves the accuracy and reliability of EEG source localization, making it a valuable tool for medical applications.
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spelling doaj-art-d936c441daa34b5ba068df4a9b81b3ec2025-08-20T02:39:37ZengElsevierBiomedical Engineering Advances2667-09922025-06-01910017710.1016/j.bea.2025.100177Robust and sparse estimator for EEG source localizationTeja Mannepalli0Aurobinda Routray1Department of Electronics and Communication Engineering, NIT Warangal, 506004, India; Corresponding author.Department of Electrical Engineering, IIT Kharagpur, 721302, IndiaEEG source localization involves reconstructing brain activity from observed EEG measurements, a critical task for diagnosing various neurological disorders. The distributed approach to this problem is inherently ill-posed, posing significant challenges. In this study, we present a sparsity-controlled Lorentzian norm-based method for EEG source localization. This approach effectively balances robustness to measurement noise and sparsity in the solution.The proposed method employs a non-linear conjugate gradient descent algorithm to minimize the loss function, where the Lorentzian norm replaces the conventional ℓ2 norm. The Lorentzian norm’s unique ability to handle impulsive noise ensures precise estimation of active sources, even under challenging conditions. Comparative analyses with ℓ2, ℓ1 and ℓp,p<1 norm-based methods highlight the Lorentzian norm’s superior robustness and sparsity control. The results demonstrate that this novel approach improves the accuracy and reliability of EEG source localization, making it a valuable tool for medical applications.http://www.sciencedirect.com/science/article/pii/S2667099225000337ElectroencephalographSparse signal reconstructionIll-posed problemLorentzian normNeural activity mapping
spellingShingle Teja Mannepalli
Aurobinda Routray
Robust and sparse estimator for EEG source localization
Biomedical Engineering Advances
Electroencephalograph
Sparse signal reconstruction
Ill-posed problem
Lorentzian norm
Neural activity mapping
title Robust and sparse estimator for EEG source localization
title_full Robust and sparse estimator for EEG source localization
title_fullStr Robust and sparse estimator for EEG source localization
title_full_unstemmed Robust and sparse estimator for EEG source localization
title_short Robust and sparse estimator for EEG source localization
title_sort robust and sparse estimator for eeg source localization
topic Electroencephalograph
Sparse signal reconstruction
Ill-posed problem
Lorentzian norm
Neural activity mapping
url http://www.sciencedirect.com/science/article/pii/S2667099225000337
work_keys_str_mv AT tejamannepalli robustandsparseestimatorforeegsourcelocalization
AT aurobindaroutray robustandsparseestimatorforeegsourcelocalization