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Human brain activity is based on electrochemical processes, which can only be measured invasively. Therefore, quantities such as magnetic flux density (MEG) or electric potential differences (EEG) are measured non-invasively in medicine and…

Numerical Analysis · Mathematics 2022-07-27 Sarah Leweke , Olaf Hauk , Volker Michel

An inverse elastic source problem with sparse measurements is of concern. A generic mathematical framework is proposed which incorporates a low- dimensional manifold regularization in the conventional source reconstruction algorithms…

Optimization and Control · Mathematics 2018-05-29 Jaejun Yoo , Abdul Wahab , Jong Chul Ye

We study the distribution of brain source from the most advanced brain imaging technique, Magnetoencephalography (MEG), which measures the magnetic fields outside the human head produced by the electrical activity inside the brain. Common…

Applications · Statistics 2019-08-13 Zhigang Yao , Zengyan Fan , Masahito Hayashi , William F. Eddy

Electroencephalografic (EEG) data are complex multi-dimensional time-series that are very useful in many applications, from diagnostics to driving brain-computer interface systems. Their classification is still a challenging task, due to…

Signal Processing · Electrical Eng. & Systems 2024-07-30 Alberto Zancanaro , Giulia Cisotto , Italo Zoppis , Sara Lucia Manzoni

We introduce variable projected augmented Lagrangian (VPAL) methods for solving generalized nonlinear Lasso problems with improved speed and accuracy. By eliminating the nonsmooth variable via soft-thresholding, VPAL transforms the problem…

Optimization and Control · Mathematics 2025-10-29 Stefano Aleotti , Davide Bianchi , Florian Bossmann , Riley Yizhou Chen , Matthias Chung

Convolutional neural networks (CNN) have been frequently used to extract subject-invariant features from electroencephalogram (EEG) for classification tasks. This approach holds the underlying assumption that electrodes are equidistant…

Machine Learning · Computer Science 2021-06-18 Andac Demir , Toshiaki Koike-Akino , Ye Wang , Masaki Haruna , Deniz Erdogmus

Electroencephalography (EEG) offers non-invasive, real-time mental workload assessment, which is crucial in high-stakes domains like aviation and medicine and for advancing brain-computer interface (BCI) technologies. This study introduces…

Human-Computer Interaction · Computer Science 2025-06-11 Gourav Siddhad , Partha Pratim Roy , Byung-Gyu Kim

The choice of reference for electroencephalogram (EEG) is a long-lasting unsolved issue resulting in inconsistent usages and endless debates. Currently, both average reference (AR) and reference electrode standardization technique (REST)…

Quantitative Methods · Quantitative Biology 2018-05-04 Shiang Hu , Dezhong Yao , Pedro A. Valdes-Sosa

In this paper we utilise new methods of Calculus of Variations in $L^\infty$ to provide a regularisation strategy to the ill-posed inverse problem of identifying the source of a non-homogeneous linear elliptic equation, satisfying Dirichlet…

Analysis of PDEs · Mathematics 2019-01-17 Nikos Katzourakis

Image reconstruction of EIT mathematically is a typical nonlinear and severely ill-posed inverse problem. Appropriate priors or penalties are required to enable the reconstruction. The commonly used L2-norm can enforce the stability to…

Numerical Analysis · Mathematics 2018-03-13 Jing Wang , Bo Han , Wei Wang

Electrical Impedance Tomography (EIT) is a non-invasive medical imaging method that reconstructs electrical conductivity mediums from boundary voltage-current measurements, but its severe ill-posedness renders direct operator learning with…

Numerical Analysis · Mathematics 2026-01-14 Amit Bhat , Ke Chen , Chunmei Wang

With the recent success of artificial intelligence in neuroscience, a number of deep learning (DL) models were proposed for classification, anomaly detection, and pattern recognition tasks in electroencephalography (EEG). EEG is a…

Signal Processing · Electrical Eng. & Systems 2023-12-05 Giulia Cisotto , Alberto Zancanaro , Italo F. Zoppis , Sara L. Manzoni

Electroencephalography (EEG) headsets are the most commonly used sensing devices for Brain-Computer Interface. In real-world applications, there are advantages to extrapolating data from one user session to another. However, these…

Machine Learning · Computer Science 2017-02-10 Dongrui Wu , Vernon J. Lawhern , W. David Hairston , Brent J. Lance

Electroencephalography (ECoG) offers a promising alternative to conventional electrocorticography (EEG) for the early prediction of Parkinson's disease (PD), providing higher spatial resolution and a broader frequency range. However,…

Machine Learning · Computer Science 2026-02-12 Seongwon Jin , Hanseul Choi , Sunggu Yang , Sungho Park , Jibum Kim

Magnetoencephalography (MEG) provides dynamic spatial-temporal insight of neural activities in the cortex. Because the number of possible sources is far greater than the number of MEG detectors, the proposition to localize sources directly…

Quantitative Methods · Quantitative Biology 2009-03-06 Hung-I Pai , Chih-Yuan Tseng , H. C. Lee

Decoding the human brain has been a hallmark of neuroscientists and Artificial Intelligence researchers alike. Reconstruction of visual images from brain Electroencephalography (EEG) signals has garnered a lot of interest due to its…

Computer Vision and Pattern Recognition · Computer Science 2023-10-26 Prajwal Singh , Dwip Dalal , Gautam Vashishtha , Krishna Miyapuram , Shanmuganathan Raman

Motor imagery EEG classification plays a crucial role in non-invasive Brain-Computer Interface (BCI) research. However, the classification is affected by the non-stationarity and individual variations of EEG signals. Simply pooling EEG data…

Signal Processing · Electrical Eng. & Systems 2023-11-10 Xiao-Cong Zhong , Qisong Wang , Dan Liu , Zhihuang Chen , Jing-Xiao Liao , Jinwei Sun , Yudong Zhang , Feng-Lei Fan

The symmetric formulation of the electroencephalography (EEG) forward problem is a well-known and widespread equation thanks to the high level of accuracy that it delivers. However, this equation is first kind in nature and gives rise to…

Medical Physics · Physics 2019-03-21 John E. Ortiz G. , Axelle Pillain , Lyes Rahmouni , Francesco P. Andriulli

The MagnetoEncephaloGraphy (MEG) has gained great interest in neurorehabilitation training due to its high temporal resolution. The challenge is to localize the active regions of the brain in a fast and accurate way. In this paper we use an…

Medical Physics · Physics 2016-10-07 Annalisa Pascarella , Francesca Pitolli

Estimators based on non-convex sparsity-promoting penalties were shown to yield state-of-the-art solutions to the magneto-/electroencephalography (M/EEG) brain source localization problem. In this paper we tackle the model selection problem…

Image and Video Processing · Electrical Eng. & Systems 2021-12-24 Pierre-Antoine Bannier , Quentin Bertrand , Joseph Salmon , Alexandre Gramfort
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