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Recent developments in elastic shape analysis (ESA) are motivated by the fact that it provides comprehensive frameworks for simultaneous registration, deformation, and comparison of shapes. These methods achieve computational efficiency…

Graphics · Computer Science 2019-06-18 Hamid Laga , Qian Xie , Ian H. Jermyn , Anuj Srivastava

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)-based brain-computer interfaces facilitate direct communication with a computer, enabling promising applications in human-computer interactions. However, their utility is currently limited because EEG decoding…

Machine Learning · Computer Science 2026-02-10 Shanglin Li , Shiwen Chu , Okan Koç , Yi Ding , Qibin Zhao , Motoaki Kawanabe , Ziheng Chen

One of the main challenges in electroencephalogram (EEG) based brain-computer interface (BCI) systems is learning the subject/session invariant features to classify cognitive activities within an end-to-end discriminative setting. We…

Signal Processing · Electrical Eng. & Systems 2022-12-12 Andac Demir , Iya Khalil , Bulent Kiziltan

This work considers electrical impedance tomography imaging of the human head, with the ultimate goal of locating and classifying a stroke in emergency care. One of the main difficulties in the envisioned application is that the electrode…

Numerical Analysis · Mathematics 2021-12-08 Valentina Candiani , Nuutti Hyvönen , Jari P. Kaipio , Ville Kolehmainen

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

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

Electroencephalogram (EEG) signals play a pivotal role in clinical medicine, brain research, and neurological disease studies. However, susceptibility to various physiological and environmental artifacts introduces noise in recorded EEG…

Signal Processing · Electrical Eng. & Systems 2024-05-24 Bin Wang , Fei Deng , Peifan Jiang

Solving the electroencephalography (EEG) forward problem is a fundamental step in a wide range of applications including biomedical imaging techniques based on inverse source localization. State-of-the-art electromagnetic solvers resort to…

Computational Physics · Physics 2020-04-22 Maxime Y. Monin , Lyes Rahmouni , Adrien Merlini , Francesco P. Andriulli

In this work, we investigate the inverse problem of recovering a potential coefficient in an elliptic partial differential equation from the observations at deterministic sampling points in the domain subject to random noise. We employ a…

Numerical Analysis · Mathematics 2025-05-30 Bangti Jin , Qimeng Quan , Wenlong Zhang

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

The source localization of the human brain activities is an important resource for the recognition of cognitive state, medical disorders and a better understanding of the brain in general. In this study, we have compared 51 mother wavelets…

Signal Processing · Electrical Eng. & Systems 2019-11-05 Tarek Frikha

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

MEG/EEG are non-invasive imaging techniques that record brain activity with high temporal resolution. However, estimation of brain source currents from surface recordings requires solving an ill-posed inverse problem. Converging lines of…

Regularization is a critical technique for ensuring well-posedness in solving inverse problems with incomplete measurement data. Traditionally, the regularization term is designed based on prior knowledge of the unknown signal's…

Numerical Analysis · Mathematics 2024-12-16 Bosu Choi , Jihun Han , Yoonsang Lee

Reconstructing cardiac electrical activity from body surface electric potential measurements results in the severely ill-posed inverse problem in electrocardiography. Many different regularization approaches have been proposed to improve…

Numerical Analysis · Mathematics 2025-11-04 Manuel Haas , Thomas Grandits , Thomas Pinetz , Thomas Beiert , Simone Pezzuto , Alexander Effland

Two techniques are proposed to alleviate the computational burden of MUltiple SIgnal Classification (MUSIC) algorithm applied to Electroencephalogram (EEG) source localization. A significant reduction was achieved by parsing the cortex…

Neurons and Cognition · Quantitative Biology 2017-07-27 Seyede Mahya Safavi , Beth Lopour , Pai H. Chou

While electroencephalography (EEG) has been a popular modality for neural decoding, it often involves task specific acquisition of the EEG data. This poses challenges for the development of a unified pipeline to learn embeddings for various…

Computer Vision and Pattern Recognition · Computer Science 2025-05-30 Pushapdeep Singh , Jyoti Nigam , Medicherla Vamsi Krishna , Arnav Bhavsar , Aditya Nigam

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

Electroencephalography (EEG) is an essential technique for neuroscience research and brain-computer interface (BCI) applications. Recently, large-scale EEG foundation models have been developed, exhibiting robust generalization capabilities…

Signal Processing · Electrical Eng. & Systems 2025-10-15 Zhige Chen , Chengxuan Qin , Wenlong You , Rui Liu , Congying Chu , Rui Yang , Kay Chen Tan , Jibin Wu
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