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We present a new approach to the electromagnetic inverse problem that explicitly addresses the ambiguity associated with its ill-posed character. Rather than calculating a single ``best'' solution according to some criterion, our approach…

Neurons and Cognition · Quantitative Biology 2007-05-23 David M. Schmidt , John S. George , C. C. Wood

An important field of research in functional neuroimaging is the discovery of integrated, distributed brain systems and networks, whose different regions need to work in unison for normal functioning. The EEG is a non-invasive technique…

Source analysis of Electroencephalography (EEG) data requires the computation of the scalp potential induced by current sources in the brain. This so-called EEG forward problem is based on an accurate estimation of the volume conduction…

Magnetoencephalography (MEG) is an advanced imaging technique used to measure the magnetic fields outside the human head produced by the electrical activity inside the brain. Various source localization methods in MEG require the knowledge…

Methodology · Statistics 2017-07-06 Zhigang Yao , Ye Zhang , Zhidong Bai , William F. Eddy

Recent advances in deep learning have had a methodological and practical impact on brain-computer interface research. Among the various deep network architectures, convolutional neural networks have been well suited for…

Signal Processing · Electrical Eng. & Systems 2020-03-06 Wonjun Ko , Eunjin Jeon , Seungwoo Jeong , Heung-Il Suk

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 a novel approach towards creating a foundational model for aligning neural data and visual stimuli across multimodal representationsof brain activity by leveraging contrastive learning. We used electroencephalography…

Computer Vision and Pattern Recognition · Computer Science 2024-11-18 Matteo Ferrante , Tommaso Boccato , Grigorii Rashkov , Nicola Toschi

Source localization based on electroencephalography (EEG) has become a widely used neuroimagining technique. However its precision has been shown to be very dependent on how accurately the brain, head and scalp can be electrically modeled…

Medical Physics · Physics 2020-04-22 Lyes Rahmouni , Adrien Merlini , Axelle Pillain , Francesco P. Andriulli

We consider the statistical linear inverse problem of making inference on an unknown source function in an elliptic partial differential equation from noisy observations of its solution. We employ nonparametric Bayesian procedures based on…

Statistics Theory · Mathematics 2024-07-26 Matteo Giordano

Electroencephalogram (EEG) has been a core tool used in functional neuroimaging in humans for nearly a hundred years. Because it is inexpensive, easy to implement, and noninvasive, it also represents an excellent candidate modality for use…

Neurons and Cognition · Quantitative Biology 2021-11-18 PK Douglas , DB Douglas

Electroencephalography (EEG) foundation models hold significant promise for universal Brain-Computer Interfaces (BCIs). However, existing approaches often rely on end-to-end fine-tuning and exhibit limited efficacy under frozen-probing…

Machine Learning · Computer Science 2026-03-20 Jiquan Wang , Sha Zhao , Yangxuan Zhou , Yiming Kang , Shijian Li , Gang Pan

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…

Neural networks have become a powerful tool as surrogate models to provide numerical solutions for scientific problems with increased computational efficiency. This efficiency can be advantageous for numerically challenging problems where…

Machine Learning · Statistics 2023-10-25 Pelin Ersin , Emma Hayes , Peter Matthews , Paramjyoti Mohapatra , Elisa Negrini , Karl Schulz

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 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

Electromagnetic (EM) imaging is an important tool for non-invasive sensing with low-cost and portable devices. One emerging application is EM stroke imaging, which enables early diagnosis and continuous monitoring of brain strokes.…

Signal Processing · Electrical Eng. & Systems 2025-09-08 Rui Guo , Yi Zhang , Yhonatan Kvich , Tianyao Huang , Maokun Li , Yonina C. Eldar

Inverse problems are often ill-posed and require optimization schemes with strong stability and convergence guarantees. While learning-based approaches such as deep unrolling and meta-learning achieve strong empirical performance, they…

Signal Processing · Electrical Eng. & Systems 2026-05-28 Le Minh Triet Tran , Sarah Reynaud , Ronan Fablet , Adrien Merlini , François Rousseau , Mai Quyen Pham

Objective: This paper investigates how generative models, trained on ground-truth images, can be used \changes{as} priors for inverse problems, penalizing reconstructions far from images the generator can produce. The aim is that learned…

Image and Video Processing · Electrical Eng. & Systems 2023-08-07 Margaret Duff , Ivor J. A. Simpson , Matthias J. Ehrhardt , Neill D. F. Campbell

We focus on electromagnetoencephalography imaging of the neural activity and, in particular, finding a robust estimate for the primary current distribution via the hierarchical Bayesian model (HBM). Our aim is to develop a reasonably fast…

Numerical Analysis · Mathematics 2020-02-24 Atena Rezaei , Alexandra Koulouri , Sampsa Pursiainen

This paper proposes a novel neuronal current source localization method based on Deep Prior that represents a more complicated prior distribution of current source using convolutional networks. Deep Prior has been suggested as a means of an…

Signal Processing · Electrical Eng. & Systems 2022-03-29 Rio Yamana , Hajime Yano , Ryoichi Takashima , Tetsuya Takiguchi , Seiji Nakagawa