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Related papers: Solving large-scale MEG/EEG source localization an…

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Electroencephalography (EEG) and Magnetoencephalography (MEG) are pivotal in understanding brain activity but are limited by their poor spatial resolution. EEG/MEG source imaging (ESI) infers the high-resolution electric field distribution…

Signal Processing · Electrical Eng. & Systems 2024-02-01 Song Wang , Chen Wei , Kexin Lou , Dongfeng Gu , Quanying Liu

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

Deep brain stimulation (DBS) is a surgical treatment for Parkinson's Disease. Static models based on quasi-static approximation are common approaches for DBS modeling. While this simplification has been validated for bioelectric sources,…

Neurons and Cognition · Quantitative Biology 2016-08-18 Pablo A. Alvarado , Mauricio A. Álvarez , Álvaro A. Orozco

Despite the promising performance of state space models (SSMs) in long sequence modeling, limitations still exist. Advanced SSMs like S5 and S6 (Mamba) in addressing non-uniform sampling, their recursive structures impede efficient SSM…

Machine Learning · Computer Science 2024-06-11 Biqing Qi , Junqi Gao , Kaiyan Zhang , Dong Li , Jianxing Liu , Ligang Wu , Bowen Zhou

We propose an evolutionary state space model (E-SSM) for analyzing high dimensional brain signals whose statistical properties evolve over the course of a non-spatial memory experiment. Under E-SSM, brain signals are modeled as mixtures of…

Methodology · Statistics 2018-10-23 Xu Gao , Weining Shen , Babak Shahbaba , Norbert Fortin , Hernando Ombao

Magnetoencephalography (MEG) provides dynamic spatial-temporal insight of neural activities in the cortex. Because the number of possible sources is far greater than the number of MEG detectors, the proposition to localize sources directly…

Quantitative Methods · Quantitative Biology 2009-03-06 Hung-I Pai , Chih-Yuan Tseng , H. C. Lee

We present a novel solution to the problem of localization of MEG and EEG brain signals. The solution is sequential and iterative, and is based on minimizing the least-squares (LS)criterion by the Alternating Projection (AP) algorithm,…

Signal Processing · Electrical Eng. & Systems 2020-11-26 Amir Adler , Mati Wax , Dimitrios Pantazis

Deep learning has emerged as the preferred modeling approach for automatic ECG analysis. In this study, we investigate three elements aimed at improving the quantitative accuracy of such systems. These components consistently enhance…

Signal Processing · Electrical Eng. & Systems 2023-08-30 Temesgen Mehari , Nils Strodthoff

In this paper, we propose a novel source model for a magnetoencephalography (MEG) inverse problem that combines a conventional extended parametric approach and an imaging approach.Our aim is to separately identify a focal current source and…

Signal Processing · Electrical Eng. & Systems 2023-02-27 Takaaki Nara , Ten-yu Yang , Kenta Kabashima

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

Digital technologies (e.g., mobile phones) can be used to obtain objective, frequent, and real-world digital phenotypes from individuals. However, modeling these data poses substantial challenges since observational data are subject to…

Applications · Statistics 2026-05-12 Tianchen Xu , Yuan Chen , Donglin Zeng , Yuanjia Wang

We investigate the state space reconstruction from multiple time series derived from continuous and discrete systems and propose a method for building embedding vectors progressively using information measure criteria regarding past,…

Chaotic Dynamics · Physics 2015-05-19 Ioannis Vlachos , Dimitris Kugiumtzis

The field of deep-learning-based ECG analysis has been largely dominated by convolutional architectures. This work explores the prospects of applying the recently introduced structured state space models (SSMs) as a particularly promising…

Machine Learning · Computer Science 2022-11-15 Temesgen Mehari , Nils Strodthoff

Advancing the size and complexity of neural network models leads to an ever increasing demand for computational resources for their simulation. Neuromorphic devices offer a number of advantages over conventional computing architectures,…

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

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 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 paper presents the first application of the direct parametrisation method for invariant manifolds to a fully coupled multiphysics problem involving the nonlinear vibrations of deformable structures subjected to an electrostatic field.…

Numerical Analysis · Mathematics 2023-12-25 Attilio Frangi , Alessio Colombo , Alessandra Vizzaccaro , Cyril Touzé

State-space models (SSMs) have garnered attention for effectively processing long data sequences, reducing the need to segment time series into shorter intervals for model training and inference. Traditionally, SSMs capture only the…

Machine Learning · Computer Science 2024-07-26 Xuan-The Tran , Linh Le , Quoc Toan Nguyen , Thomas Do , Chin-Teng Lin

We investigate nonlinear state-space models without a closed-form transition density, and propose reformulating such models over their latent noise variables rather than their latent state variables. In doing so the tractable noise density…

Computation · Statistics 2013-12-11 Lawrence M. Murray , Emlyn M. Jones , John Parslow