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We consider the problem of estimating neural activity from measurements of the magnetic fields recorded by magnetoencephalography. We exploit the temporal structure of the problem and model the neural current as a collection of evolving…

Electromagnetic source imaging (ESI) requires solving a highly ill-posed inverse problem. To seek a unique solution, traditional ESI methods impose various forms of priors that may not accurately reflect the actual source properties, which…

Image and Video Processing · Electrical Eng. & Systems 2022-07-14 Gexin Huang , Jiawen Liang , Ke Liu , Chang Cai , ZhengHui Gu , Feifei Qi , Yuan Qing Li , Zhu Liang Yu , Wei Wu

This paper presents the novel Dual Stream Graph-Transformer Fusion (DS-GTF) architecture designed specifically for classifying task-based Magnetoencephalography (MEG) data. In the spatial stream, inputs are initially represented as graphs,…

Signal Processing · Electrical Eng. & Systems 2024-10-11 Lucas Goene , Siamak Mehrkanoon

State-space models are widely employed across various research disciplines to study unobserved dynamics. Conventional estimation techniques, such as Kalman filtering and expectation maximisation, offer valuable insights but incur high…

Computation · Statistics 2023-11-28 Jose M. Sanchez-Bornot , Roberto C. Sotero , Scott Kelso , Damien Coyle

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

The MEG inverse problem refers to the reconstruction of the neural activity of the brain from magnetoencephalography (MEG) measurements. We propose a two-way regularization (TWR) method to solve the MEG inverse problem under the assumptions…

Applications · Statistics 2012-10-01 Tian Siva Tian , Jianhua Z. Huang , Haipeng Shen , Zhimin Li

Inferring patterns of synchronous brain activity from a heterogeneous sample of electroencephalograms (EEG) is scientifically and methodologically challenging. While it is intuitively and statistically appealing to rely on readings from…

The neuromagnetic activity (magnetoencephalogram, MEG) from healthy human brain and from an epileptic patient against chromatic flickering stimuli has been earlier analyzed on the basis of a memory functions formalism (MFF). Information…

Medical Physics · Physics 2010-06-29 O. Yu. Panischev , S. A. Demin , J. Bhattacharya

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

We consider the inverse problem of recovering both an unknown electric current and the surrounding electromagnetic parameters of a medium from boundary measurements. This inverse problem arises in brain imaging. We show that under generic…

Analysis of PDEs · Mathematics 2017-10-25 Youjun Deng , Hongyu Liu , Gunther Uhlmann

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 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

In the past five years, the use of generative and foundational AI systems has greatly improved the decoding of brain activity. Visual perception, in particular, can now be decoded from functional Magnetic Resonance Imaging (fMRI) with…

Image and Video Processing · Electrical Eng. & Systems 2024-03-15 Yohann Benchetrit , Hubert Banville , Jean-Rémi King

This thesis delves into the world of non-invasive electrophysiological brain signals like electroencephalography (EEG) and magnetoencephalography (MEG), focusing on modelling and decoding such data. The research aims to investigate what…

Signal Processing · Electrical Eng. & Systems 2025-10-30 Richard Csaky

In neuroelectrophysiology one records electric potentials or magnetic fields generated by ensembles of synchronously active neurons in response to externally presented stimuli. These evoked responses are often produced by multiple…

Medical Physics · Physics 2007-05-23 Kevin H. Knuth , Wilson A. Truccolo , Steven L. Bressler , Mingzhou Ding

This work is concerned with an inverse problem of identifying the current source distribution of the time-harmonic Maxwell's equations from multi-frequency measurements. Motivated by the Fourier method for the scalar Helmholtz equation and…

Numerical Analysis · Mathematics 2017-08-03 Guan Wang , Fuming Ma , Yukun Guo , Jingzhi Li

We consider the problem of extracting features from passive, multi-channel electroencephalogram (EEG) devices for downstream inference tasks related to high-level mental states such as stress and cognitive load. Our proposed method…

Signal Processing · Electrical Eng. & Systems 2022-03-02 Guodong Chen , Hayden S. Helm , Kate Lytvynets , Weiwei Yang , Carey E. Priebe

The human brain is a large-scale network which function depends on dynamic interactions between spatially-distributed regions. In the rapidly-evolving field of network neuroscience, two yet unresolved challenges are potential breakthroughs.…

Neurons and Cognition · Quantitative Biology 2018-01-09 M. Hassan , F. Wendling

This report introduces a new hierarchical Bayesian model for the EEG source localization problem. This model promotes structured sparsity to search for focal brain activity. This sparsity is obtained via a multivariate Bernoulli Laplacian…

Methodology · Statistics 2015-09-16 Facundo Costa , Hadj Batatia , Thomas Oberlin , Jean-Yves Tourneret

Electroencephalography (EEG) signals provide critical insights for applications in disease diagnosis and healthcare. However, the scarcity of labeled EEG data poses a significant challenge. Foundation models offer a promising solution by…

Machine Learning · Computer Science 2025-02-25 Limin Wang , Toyotaro Suzumura , Hiroki Kanezashi