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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

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

If two signals are phase synchronous then the respective Fourier component at each spectral band should exhibit certain properties. In a pair of artificially generated phase synchronous signals the phase difference at each frequency band…

Neurons and Cognition · Quantitative Biology 2009-04-30 Kaushik Majumdar

Electroencephalographic (EEG) signals are fundamental to neuroscience research and clinical applications such as brain-computer interfaces and neurological disorder diagnosis. These signals are typically a combination of neurological…

Machine Learning · Computer Science 2023-10-27 Matteo Gabardi , Aurora Saibene , Francesca Gasparini , Daniele Rizzo , Fabio Antonio Stella

The problem of reconstructing brain activity from electric potential measurements performed on the surface of a human head is not an easy task: not just because the solution of the related inverse problem is fundamentally ill-posed (not…

Numerical Analysis · Mathematics 2023-08-11 Santtu Söderholm , Joonas Lahtinen , Carsten H. Wolters , Sampsa Pursiainen

We investigate the information processing of a linear mixture of independent sources of different magnitudes. In particular we consider the case where a number $m$ of the sources can be considered as ``strong'' as compared to the other…

Statistical Mechanics · Physics 2007-05-23 J. -P. Nadal , E. Korutcheva , F. Aires

Electroencephalography (EEG) signals' interpretation is based on waveform analysis, where meaningful information should emerge from a plethora of data. Nonetheless, the continuous increase in computational power and the development of new…

Neurons and Cognition · Quantitative Biology 2015-05-08 Rogerio Normand , Hugo Alexandre Ferreira

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

The resistive or non-resistive nature of the extracellular space in the brain is still debated, and is an important issue for correctly modeling extracellular potentials. Here, we first show theoretically that if the medium is resistive,…

Neurons and Cognition · Quantitative Biology 2015-03-13 Nima Dehghani , Claude Bedard , Sydney S. Cash , Eric Halgren , Alain Destexhe

The application of machine learning (ML) to electroencephalography (EEG) has great potential to advance both neuroscientific research and clinical applications. However, the generalisability and robustness of EEG-based ML models often hinge…

Signal Processing · Electrical Eng. & Systems 2025-11-03 Philipp Bomatter , Henry Gouk

This study introduces a novel unsupervised approach for separating overlapping heart and lung sounds using variational autoencoders (VAEs). In clinical settings, these sounds often interfere with each other, making manual separation…

Audio and Speech Processing · Electrical Eng. & Systems 2025-06-24 Yasaman Torabi , Shahram Shirani , James P. Reilly

This paper introduces a novel numerical method for the inverse problem of electroencephalography(EEG). We pose the inverse EEG problem as an optimal control (OC) problem for Poisson's equation. The optimality conditions lead to a…

Numerical Analysis · Mathematics 2022-04-15 M. S. Malovichko , N. B. Yavich , A. M. Razorenova , N. A. Koshev

Biosignals can be viewed as mixtures measuring particular physiological events, and blind source separation (BSS) aims to extract underlying source signals from mixtures. This paper proposes a self-supervised multi-encoder autoencoder…

Machine Learning · Computer Science 2025-12-12 Matthew B. Webster , Dongheon Lee , Joonnyong Lee

Brain function as measured by multichannel EEG recordings can be described to a high level of accuracy by microstates, characterized as a sequence of time intervals within which the sign invariant normalized scalp electric potential field…

Neurons and Cognition · Quantitative Biology 2022-08-08 Roberto D. Pascual-Marqui , Kieko Kochi , Toshihiko Kinoshita

Optically-pumped magnetometers (OPM) -- next-generation magnetoencephalography (MEG) sensors -- may be placed directly on the head, unlike the more commonly used superconducting quantum interference device (SQUID) sensors, which must be…

The brain is a system operating on multiple time scales, and characterisation of dynamics across time scales remains a challenge. One framework to study such dynamics is that of fractal geometry. However, currently there exists no…

Neurons and Cognition · Quantitative Biology 2018-12-12 Lucas G. S. França , José G. V. Miranda , Marco Leite , Niraj K. Sharma , Matthew C. Walker , Louis Lemieux , Yujiang Wang

A major challenge in cognitive neuroscience is to evaluate the ability of the human brain to categorize or group visual stimuli based on common features. This categorization process is very fast and occurs in few hundreds of millisecond…

Neurons and Cognition · Quantitative Biology 2016-06-06 Ahmad Mheich , Mahmoud Hassan , Olivier Dufor , Mohamad Khalil , Fabrice Wendling

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

In the status quo, dementia is yet to be cured. Precise diagnosis prior to the onset of the symptoms can prevent the rapid progression of the emerging cognitive impairment. Recent progress has shown that Electroencephalography (EEG) is the…

Human brain activity generates scalp potentials (electroencephalography EEG), intracranial potentials (iEEG), and external magnetic fields (magnetoencephalography MEG), all capable of being recorded, often simultaneously, for use in…

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