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Electroencephalography (EEG) source imaging aims to infer brain activity from electrical potentials measured on the scalp. This is a difficult problem because many different source patterns can explain the same measurements. The result…

Numerical Analysis · Mathematics 2026-04-29 Santtu Söderholm , Joonas Lahtinen , Sampsa Pursiainen

Electroencephalography (EEG) has enjoyed considerable attention over the past century and has been applied for diagnosis of epilepsy, stroke, traumatic brain injury and other disorders where 3D localization of electrical activity in the…

Medical Physics · Physics 2014-07-31 Sajib Saha , Yakov I. Nesterets , Murat Tahtali , Timur E. Gureyev

The goal of this study is to develop focal, accurate and robust finite element method (FEM) based approaches which can predict the electric potential on the surface of the computational domain given its structure and internal primary source…

Medical Physics · Physics 2016-12-21 Sampsa Pursiainen , Johannes Vorwerk , Carsten H. Wolters

Electroencephalograms (EEG) are invaluable for treating neurological disorders, however, mapping EEG electrode readings to brain activity requires solving a challenging inverse problem. Due to the time series data, the use of $\ell_1$…

Machine Learning · Statistics 2025-02-28 Jack Michael Solomon , Rosemary Renaut , Matthias Chung

The quality of the inverse approach in electroencephalography (EEG) source analysis is - among other things - depending on the accuracy of the forward modeling approach, i.e., the simulation of the electric potential for a known dipole…

Medical Physics · Physics 2022-08-08 Florian Drechsler , Johannes Vorwerk , Jens Haueisen , Lars Grasedyck , Carsten H. Wolters

Purpose: Localizing the sources of electrical activity from electroencephalographic (EEG) data has gained considerable attention over the last few years. In this paper, we propose an innovative source localization method for EEG, based on…

Quantitative Methods · Quantitative Biology 2015-01-21 Sajib Saha , Frank de Hoog , Ya. I. Nesterets , Rajib Rana , M. Tahtali , T. E. Gureyev

In recent years, multiple noninvasive imaging modalities have been used to develop a better understanding of the human brain functionality, including positron emission tomography, single-photon emission computed tomography, and functional…

Signal Processing · Electrical Eng. & Systems 2019-10-18 Shiva Asadzadeh , Tohid Yousefi Rezaii , Soosan Beheshti , Azra Delpak , Saeed Meshgini

Reconstructing brain sources is a fundamental challenge in neuroscience, crucial for understanding brain function and dysfunction. Electroencephalography (EEG) signals have a high temporal resolution. However, identifying the correct…

Image and Video Processing · Electrical Eng. & Systems 2026-03-12 Marco Morik , Ali Hashemi , Klaus-Robert Müller , Stefan Haufe , Shinichi Nakajima

In order to perform electroencephalography (EEG) source reconstruction, i.e., to localize the sources underlying a measured EEG, the electric potential distribution at the electrodes generated by a dipolar current source in the brain has to…

Computational Engineering, Finance, and Science · Computer Science 2016-11-16 Christian Engwer , Johannes Vorwerk , Jakob Ludewig , Carsten H. Wolters

The Electro-Encephalo-Graphy (EEG) technique consists of estimating the cortical distribution of signals over time of electrical activity and also of locating the zones of primary sensory projection. Moreover, it is able to record…

Signal Processing · Electrical Eng. & Systems 2021-12-02 Ridha jarray , Abir Hadriche , Cokri ben Amar , Nawel Jmail

We study source localization from high dimensional M/EEG data by extending a multiscale method based on Entropic inference devised to increase the spatial resolution of inverse problems. This method is used to construct informative prior…

Quantitative Methods · Quantitative Biology 2015-02-13 Leonardo S. Barbosa , Nestor Caticha

We localize the sources of brain activity of children with epilepsy based on EEG recordings acquired during a visual discrimination working memory task. For the numerical solution of the inverse problem, with the aid of age-specific MRI…

Neurons and Cognition · Quantitative Biology 2023-03-16 Evangelos Galaris , Ioannis Gallos , Ivan Myatchin , Lieven Lagae , Constantinos Siettos

In this paper, we explore the multiple source localisation problem in the cerebral cortex using magnetoencephalography (MEG) data. We model neural currents as point-wise dipolar sources which dynamically evolve over time, then model dipole…

Applications · Statistics 2015-06-18 Xi Chen , Simo Särkkä , Simon Godsill

In this paper, we present a robust version of the well-known exact low-resolution electromagnetic tomography (eLORETA) technique, named ReLORETA, to localize brain sources in the presence of different forward model uncertainties. Methods:…

Computational Engineering, Finance, and Science · Computer Science 2024-05-10 A. Noroozi , M. Ravan , B. Razavi , R. S. Fisher , Y. Law , M. S. Hasan

Knowing the correct skull conductivity is crucial for the accuracy of EEG source imaging, but unfortunately, its true value, which is inter- and intra-individually varying, is difficult to determine. In this paper, we propose a statistical…

Medical Physics · Physics 2020-09-07 Ville Rimpiläinen , Alexandra Koulouri , Felix Lucka , Jari P Kaipio , Carsten H Wolters

We provide an overview of the state-of-the-art for mathematical methods that are used to reconstruct brain activity from neurophysiological data. After a brief introduction on the mathematics of the forward problem, we discuss standard and…

Quantitative Methods · Quantitative Biology 2017-05-09 Alberto Sorrentino , Michele Piana

We describe a novel method for dynamic estimation of multi-dipole states from Magneto/Electro-encephalography (M/EEG) time series. The new approach builds on the recent development of particle filters for M/EEG; these algorithms…

Numerical Analysis · Mathematics 2016-03-18 Valentina Vivaldi , Alberto Sorrentino

Localizing the sources of electrical activity in the brain from Electroencephalographic (EEG) data is an important tool for non-invasive study of brain dynamics. Generally, the source localization process involves a high-dimensional inverse…

Quantitative Methods · Quantitative Biology 2014-06-11 S. Saha , Ya. I. Nesterets , Rajib Rana , M. Tahtali , Frank de Hoog , T. E. Gureyev

Accurate electroencephalography (EEG) and magnetoencephalography (MEG) source localization and reconstruction are essential for understanding brain function, yet remain challenging because the underlying EEG/MEG inverse problem is…

Optimization and Control · Mathematics 2026-04-29 Julia Jurkowska , Joanna Dreszer , Monika Lewandowska , Krzysztof Tołpa , Tomasz Piotrowski

We investigate the weighted Group Lasso formulation for the static inverse electroencephalography (EEG) problem, aiming at reconstructing the unknown underlying neuronal sources from voltage measurements on the scalp. By modelling the three…

Numerical Analysis · Mathematics 2025-12-17 Ole Løseth Elvetun , Bjørn Fredrik Nielsen , Niranjana Sudheer
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