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Electroencephalography (EEG) has become one of the key modalities underpinning brain-computer interfaces (BCIs) due to its high temporal resolution, rapid responsiveness, non-invasiveness, low cost, and portability. However, EEG signals are…

Neurons and Cognition · Quantitative Biology 2026-04-17 Yihang Dong , Changhong Jing , Shuqiang Wang

We present a Calder\'on preconditioning scheme for the symmetric formulation of the forward electroencephalographic (EEG) problem that cures both the dense discretization and the high-contrast breakdown. Unlike existing Calder\'on schemes…

Numerical Analysis · Mathematics 2023-08-16 Viviana Giunzioni , John E. Ortiz G. , Adrien Merlini , Simon B. Adrian , Francesco P. Andriulli

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

Electroencephalography (EEG) source imaging aims to reconstruct the spatial distribution of neural activity within the brain from non-invasive scalp measurements. This inverse problem is severely ill-posed due to the low spatial resolution…

Numerical Analysis · Mathematics 2026-04-08 Joonas Lahtinen , Alexandra Koulouri

Electroencephalogram (EEG) signals are pivotal in providing insights into spontaneous brain activity, highlighting their significant importance in neuroscience research. However, the exploration of versatile EEG models is constrained by…

Signal Processing · Electrical Eng. & Systems 2025-09-01 Tongtian Yue , Xuange Gao , Shuning Xue , Yepeng Tang , Longteng Guo , Jie Jiang , Jing Liu

Electroencephalography (EEG) is a neuroimaging technique that records brain neural activity with high temporal resolution. Unlike other methods, EEG does not require prohibitively expensive equipment and can be easily set up using…

Human-Computer Interaction · Computer Science 2024-10-01 Arash Akbarinia

A Nystrom-based high-order (HO) discretization scheme for surface integral equations (SIEs) for analyzing the electroencephalography (EEG) forward problem is proposed in this work. We use HO surface elements and interpolation functions for…

Numerical Analysis · Mathematics 2025-12-05 Rui Chen , Viviana Giunzioni , Adrien Merlini , Francesco P. Andriulli

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

EEG based brain state decoding has numerous applications. State of the art decoding is based on processing of the multivariate sensor space signal, however evidence is mounting that EEG source reconstruction can assist decoding. EEG source…

Neurons and Cognition · Quantitative Biology 2017-04-20 Rasmus S. Andersen , Anders U. Eliasen , Nicolai Pedersen , Michael Riis Andersen , Sofie Therese Hansen , Lars Kai Hansen

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

Objective: The purpose of this study is to introduce and evaluate the unfitted discontinuous Galerkin finite element method (UDG-FEM) for solving the electroencephalography (EEG) forward problem. Methods: This new approach for source…

Computational Engineering, Finance, and Science · Computer Science 2024-10-30 Andreas Nüßing , Carsten H. Wolters , Heinrich Brinck , Christian Engwer

Electroencephalography (EEG) stands as a crucial tool in neuroscientific research and clinical diagnostics, providing valuable insights into the electrical activities of the brain. Traditional EEG signal processing techniques, predominantly…

Neurons and Cognition · Quantitative Biology 2024-01-12 Aryan Govil , Eric Yao , Christina R. Borao

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

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

Electroencephalography (EEG) is a non-invasive technique for recording brain electrical activity, widely used in brain-computer interface (BCI) and healthcare. Recent EEG foundation models trained on large-scale datasets have shown improved…

Machine Learning · Computer Science 2025-09-29 Yi Ding , Muyun Jiang , Weibang Jiang , Shuailei Zhang , Xinliang Zhou , Chenyu Liu , Shanglin Li , Yong Li , Cuntai Guan

The generalization and robustness of an electroencephalogram (EEG)-based computer aided diagnostic system are crucial requirements in actual clinical practice. To reach these goals, we propose a new EEG representation that provides a more…

Machine Learning · Computer Science 2017-02-10 Khadijeh Sadatnejad , Saeed S. Ghidary , Reza Rostami , Reza Kazemi

Electroencephalography (EEG) is a non-invasive technique for recording brain activity, widely used in brain-computer interfaces, clinic, and healthcare. Traditional EEG deep models typically focus on specific dataset and task, limiting…

Signal Processing · Electrical Eng. & Systems 2025-09-03 Ang Li , Zikai Wang , Liuyin Yang , Zhenyu Wang , Tianheng Xu , Honglin Hu , Marc M. Van Hulle

Electroencephalogram (EEG) has been a core tool used in functional neuroimaging in humans for nearly a hundred years. Because it is inexpensive, easy to implement, and noninvasive, it also represents an excellent candidate modality for use…

Neurons and Cognition · Quantitative Biology 2021-11-18 PK Douglas , DB Douglas

Premise. Patterns of electrical brain activity recorded via electroencephalography (EEG) offer immense value for scientific and clinical investigations. The inability of supervised EEG encoders to learn robust EEG patterns and their…

Signal Processing · Electrical Eng. & Systems 2025-12-25 Gayal Kuruppu , Neeraj Wagh , Vaclav Kremen , Sandipan Pati , Gregory Worrell , Yogatheesan Varatharajah

Electroencephalography (EEG) has wide-ranging applications, from clinical diagnosis to brain-computer interfaces (BCIs). With the increasing volume and variety of EEG data, there has been growing interest in establishing foundation models…

Machine Learning · Computer Science 2025-10-21 Zitao Fang , Chenxuan Li , Hongting Zhou , Shuyang Yu , Guodong Du , Ashwaq Qasem , Yang Lu , Jing Li , Junsong Zhang , Sim Kuan Goh