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In electromagnetic source localization problems stemming from linearized Poisson-type equation, the aim is to locate the sources within a domain that produce given measurements on the boundary. In this type of problem, biasing of the…

Optimization and Control · Mathematics 2024-07-30 Joonas Lahtinen

Electroencephalography (EEG) is a widely used, non-invasive method for capturing brain activity, and is particularly relevant for applications in Brain-Computer Interfaces (BCI). However, collecting high-quality EEG data remains a major…

Signal Processing · Electrical Eng. & Systems 2025-10-22 Henrique de Lima Alexandre , Clodoaldo Aparecido de Moraes Lima

Electroencephalography (EEG) has enjoyed considerable attention over the past century and has been applied for diagnosis of epilepsy, stroke, traumatic brain injury and other disorders where 3D localization of electrical activity in the…

Medical Physics · Physics 2014-07-31 Sajib Saha , Yakov I. Nesterets , Murat Tahtali , Timur E. Gureyev

Electrode density optimization in electroencephalography (EEG)-based Brain-Computer Interfaces (BCIs) requires balancing practical usability against signal fidelity, particularly for source localization. Reducing electrodes enhances…

Neurons and Cognition · Quantitative Biology 2025-10-14 Eva Guttmann-Flury , Yanyan Wei , Shan Zhao , Jian Zhao , Mohamad Sawan

Magnetoencephalography (MEG) is an imaging technique used to measure the magnetic field outside the human head produced by the electrical activity inside the brain. The MEG inverse problem, identifying the location of the electrical sources…

Computation · Statistics 2014-08-01 Zhigang Yao , William F. Eddy

Objective: The subtraction approach is known for being a theoretically-rigorous and accurate technique for solving the forward problem in electroencephalography by means of the finite element method. One key aspect of this approach consists…

Numerical Analysis · Mathematics 2024-12-20 Leandro Beltrachini

Electroencephalography (EEG) is shown to be a valuable data source for evaluating subjects' mental states. However, the interpretation of multi-modal EEG signals is challenging, as they suffer from poor signal-to-noise-ratio, are highly…

Signal Processing · Electrical Eng. & Systems 2022-04-19 David Bethge , Philipp Hallgarten , Ozan Özdenizci , Ralf Mikut , Albrecht Schmidt , Tobias Grosse-Puppendahl

Due to the cross-domain distribution shift aroused from diverse medical imaging systems, many deep learning segmentation methods fail to perform well on unseen data, which limits their real-world applicability. Recent works have shown the…

Computer Vision and Pattern Recognition · Computer Science 2023-03-06 Shangqi Gao , Hangqi Zhou , Yibo Gao , Xiahai Zhuang

Electroencephalography (EEG) is an invaluable tool in neuroscience, offering insights into brain activity with high temporal resolution. Recent advancements in machine learning and generative modeling have catalyzed the application of EEG…

Computer Vision and Pattern Recognition · Computer Science 2024-12-31 Yashvir Sabharwal , Balaji Rama

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

In this paper we propose a novel framework for the construction of sparsity-inducing priors. In particular, we define such priors as a mixture of exponential power distributions with a generalized inverse Gaussian density (EP-GIG). EP-GIG…

Machine Learning · Statistics 2012-04-20 Zhihua Zhang , Shusen Wang , Dehua Liu , Michael I. Jordan

EEG foundation models are typically pretrained on narrow-source clinical archives and evaluated on benchmarks from the same ecosystem, leaving unclear whether representations encode neural physiology or recording-distribution artifacts. We…

Objective: Sparse Bayesian learning provides an effective scheme to solve the high-dimensional problem in brain signal decoding. However, traditional assumptions regarding data distributions such as Gaussian and binomial are potentially…

Signal Processing · Electrical Eng. & Systems 2025-08-19 Yuanhao Li , Badong Chen , Wenjun Bai , Yasuharu Koike , Okito Yamashita

Electroencephalography (EEG) activity contains a wealth of information about what is happening within the human brain. Recording more of this data has the potential to unlock endless future applications. However, the cost of EEG hardware is…

Machine Learning · Computer Science 2025-02-14 Isaac Corley , Yufei Huang

This work presents a novel and effective method for fitting multidimensional ellipsoids to scattered data in the contamination of noise and outliers. We approach the problem as a Bayesian parameter estimate process and maximize the…

Methodology · Statistics 2024-07-30 Zhao Mingyang , Jia Xiaohong , Ma Lei , Shi Yuke , Jiang Jingen , Li Qizhai , Yan Dong-Ming , Huang Tiejun

Brain-computer interfaces (BCIs) offer transformative potential, but decoding neural signals presents significant challenges. The core premise of this paper is built around demonstrating methods to elucidate the underlying low-dimensional…

Machine Learning · Computer Science 2025-02-28 Benjamin J. Choi

Many electroencephalography (EEG) applications rely on channel selection methods to remove the least informative channels, e.g., to reduce the amount of electrodes to be mounted, to decrease the computational load, or to reduce overfitting…

Signal Processing · Electrical Eng. & Systems 2021-06-08 Thomas Strypsteen , Alexander Bertrand

Electroencephalography (EEG) signals reflect activities on certain brain areas. Effective classification of time-varying EEG signals is still challenging. First, EEG signal processing and feature engineering are time-consuming and highly…

Human-Computer Interaction · Computer Science 2019-08-27 Xiang Zhang , Lina Yao , Xianzhi Wang , Wenjie Zhang , Shuai Zhang , Yunhao Liu

Over the last ten years blind source separation (BSS) has become a prominent processing tool in the study of human electroencephalography (EEG). Without relying on head modeling BSS aims at estimating both the waveform and the scalp spatial…

Numerical Analysis · Mathematics 2008-12-03 Marco Congedo , Cédric Gouy-Pailler , Christian Jutten

Ultrasound elasticity images which enable the visualization of quantitative maps of tissue stiffness can be reconstructed by solving an inverse problem. Classical model-based approaches for ultrasound elastography use deterministic finite…

Image and Video Processing · Electrical Eng. & Systems 2021-07-29 Narges Mohammadi , Marvin M. Doyley , Mujdat Cetin
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