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The brain may be thought of as a many-body architecture with a spatio-temporal dynamics described by neuronal structures. The oscillatory nature of brain activity allows these structures (nodes) to be described as a set of coupled…

Neurons and Cognition · Quantitative Biology 2021-02-03 J. Mendoza-Ruiz , C. E. Alonso-Malaver , M. Valderrama , O. A. Rosso , J. H. Martínez

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

The EEG source localization is an ill-posed problem. It involves estimation of the sources which outnumbers the number of measurements. For a given measurement at given time all sources are not active which makes the problem as sparse…

Signal Processing · Electrical Eng. & Systems 2022-02-02 Teja Mannepalli , Aurobinda Routray

At least two recent developments have put the spotlight on some significant gaps in the theory of multivariate time series. The recent interest in the dynamics of networks; and the advent, across a range of applications, of measuring…

Statistics Theory · Mathematics 2015-01-21 Victor Solo

In this paper, we have developed a new measure of understanding the temporal evolution of phase synchronization for EEG signals using cross-electrode information. From this measure it is found that there exists a small number of…

Medical Physics · Physics 2016-12-04 Wasifa Jamal , Saptarshi Das , Koushik Maharatna

Understanding how the brain responds to sensory inputs is challenging: brain recordings are partial, noisy, and high dimensional; they vary across sessions and subjects and they capture highly nonlinear dynamics. These challenges have led…

Neurons and Cognition · Quantitative Biology 2022-10-03 Omar Chehab , Alexandre Defossez , Jean-Christophe Loiseau , Alexandre Gramfort , Jean-Remi King

In an inverse problem, such as the determination of brain activity given magnetic field measurements outside the head, the main quantity of interest is often the power associated with a source. The `standard' way to determine this has been…

Medical Physics · Physics 2007-05-23 R Hasson

We study the problem of learning a neural sampler to generate samples from discrete state spaces where the target probability mass function $\pi\propto\mathrm{e}^{-U}$ is known up to a normalizing constant, which is an important task in…

Machine Learning · Computer Science 2025-11-11 Yuchen Zhu , Wei Guo , Jaemoo Choi , Guan-Horng Liu , Yongxin Chen , Molei Tao

The study of functional connectivity from magnetoecenphalographic (MEG) data consists in quantifying the statistical dependencies among time series describing the activity of different neural sources from the magnetic field recorded outside…

Numerical Analysis · Mathematics 2020-12-01 Elisabetta Vallarino , Michele Piana , Alberto Sorrentino , Sara Sommariva

In this paper, we analyze spatial sampling of electro- (EEG) magnetoencephalography (MEG), where the electric or magnetic field is typically sampled on a curved surface such as the scalp. Using simulated measurements, we study the…

High temporal resolution measurements of human brain activity can be performed by recording the electric potentials on the scalp surface (electroencephalography, EEG), or by recording the magnetic fields near the surface of the head…

Data Analysis, Statistics and Probability · Physics 2015-01-22 Kevin H. Knuth

Multiple penalized least squares (MPLS) models are a flexible approach to find adaptive least squares solutions required to be simultaneously sparse and smooth. This is particularly important when addressing real-life inverse problems where…

A core goal of functional neuroimaging is to study how the environment is processed in the brain. The mainstream paradigm involves concurrently measuring a broad spectrum of brain responses to a small set of environmental features…

Neurons and Cognition · Quantitative Biology 2021-06-14 Pedro F. da Costa , Rianne Haartsen , Elena Throm , Luke Mason , Anna Gui , Robert Leech , Emily J. H. Jones

Neuroimaging techniques have shown to be useful when studying the brain's activity. This paper uses Magnetoencephalography (MEG) data, provided by the Human Connectome Project (HCP), in combination with various deep artificial neural…

Machine Learning · Computer Science 2020-07-07 Ismail Alaoui Abdellaoui , Jesus Garcia Fernandez , Caner Sahinli , Siamak Mehrkanoon

Subcortical structures play a critical role in brain function. However, options for assessing electrophysiological activity in these structures are limited. Electromagnetic fields generated by neuronal activity in subcortical structures can…

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

Classification models for electroencephalogram (EEG) data show a large decrease in performance when evaluated on unseen test sub jects. We reduce this performance decrease using new regularization techniques during model training. We…

Machine Learning · Computer Science 2023-10-16 Niklas Smedemark-Margulies , Ye Wang , Toshiaki Koike-Akino , Jing Liu , Kieran Parsons , Yunus Bicer , Deniz Erdogmus

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

Brain network analysis is vital for understanding the neural interactions regarding brain structures and functions, and identifying potential biomarkers for clinical phenotypes. However, widely used brain signals such as Blood Oxygen Level…

Machine Learning · Computer Science 2024-05-02 Kaiqiao Han , Yi Yang , Zijie Huang , Xuan Kan , Yang Yang , Ying Guo , Lifang He , Liang Zhan , Yizhou Sun , Wei Wang , Carl Yang

Neural mass models are used to simulate cortical dynamics and to explain the electrical and magnetic fields measured using electro- and magnetoencephalography. Simulations evince a complex phase-space structure for these kinds of models;…

Neurons and Cognition · Quantitative Biology 2022-08-25 Gerald Cooray , Richard Rosch , Karl Friston