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We consider inverse problems with large null spaces, which arise in important applications such as in inverse ECG and EEG procedures. Standard regularization methods typically produce solutions in or near the orthogonal complement of the…

数值分析 · 数学 2025-12-05 Martin Burger , Ole Løseth Elvetun , Bjørn Fredrik Nielsen

Human visual reconstruction aims to reconstruct fine-grained visual stimuli based on subject-provided descriptions and corresponding neural signals. As a widely adopted modality, Electroencephalography (EEG) captures rich visual cognition…

计算机视觉与模式识别 · 计算机科学 2026-03-23 Zhijian Gong , Tianren Yao , Wenjia Dong , Xueyuan Xu

Electroencephalogram (EEG) is a common tool used to understand brain activities. The data are typically obtained by placing electrodes at the surface of the scalp and recording the oscillations of currents passing through the electrodes.…

信号处理 · 电气工程与系统科学 2021-02-19 Eddy Kwessi , Lloyd Edwards

We present an algorithm for focusing inversion of electrical resistivity tomography (ERT) data. ERT is a typical example of ill-posed problem. Regularization is the most common way to face this kind of problems; it basically consists in…

地球物理 · 物理学 2007-05-23 G. Pagliara , G. Vignoli

EEG based brain state decoding has numerous applications. State of the art decoding is based on processing of the multivariate sensor space signal, however evidence is mounting that EEG source reconstruction can assist decoding. EEG source…

Unsupervised audio-visual source localization aims at localizing visible sound sources in a video without relying on ground-truth localization for training. Previous works often seek high audio-visual similarities for likely positive…

计算机视觉与模式识别 · 计算机科学 2022-03-30 Shentong Mo , Pedro Morgado

In magnetoencephalography (MEG) the conventional approach to source reconstruction is to solve the underdetermined inverse problem independently over time and space. Here we present how the conventional approach can be extended by…

The variable projection (VarPro) method is an efficient method to solve separable nonlinear least squares problems. In this paper, we propose a modified VarPro for large-scale separable nonlinear inverse problems that promotes…

数值分析 · 数学 2021-06-01 Malena Espanol , Mirjeta Pasha

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…

人机交互 · 计算机科学 2019-08-27 Xiang Zhang , Lina Yao , Xianzhi Wang , Wenjie Zhang , Shuai Zhang , Yunhao Liu

We describe a novel method for dynamic estimation of multi-dipole states from Magneto/Electro-encephalography (M/EEG) time series. The new approach builds on the recent development of particle filters for M/EEG; these algorithms…

数值分析 · 数学 2016-03-18 Valentina Vivaldi , Alberto Sorrentino

Chronic neck pain is a leading cause of disability worldwide, and current treatment selection remains largely trial and error. We present a machine learning framework that uses electroencephalography to predict treatment efficacy in…

定量方法 · 定量生物学 2026-05-19 Xiru Wang , Aiden Li , Hongzhao Tan , Stevie Foglia , Aimee Nelson , Zhen Gao

Electroencephalography (EEG) is a non-invasive technique for recording brain activity, widely used in brain-computer interfaces, clinic, and healthcare. Traditional EEG deep models typically focus on specific dataset and task, limiting…

信号处理 · 电气工程与系统科学 2025-09-03 Ang Li , Zikai Wang , Liuyin Yang , Zhenyu Wang , Tianheng Xu , Honglin Hu , Marc M. Van Hulle

This paper proposes a new approach for solving ill-posed nonlinear inverse problems. For ease of explanation of the proposed approach, we use the example of lung electrical impedance tomography (EIT), which is known to be a nonlinear and…

数值分析 · 数学 2019-08-01 Jin Keun Seo , Kang Cheol Kim , Ariungerel Jargal , Kyounghun Lee , Bastian Harrach

Electroencephalography (EEG) is a widely used non-invasive technique for measuring brain activity in brain-computer interface (BCI) applications. Supervised EEG decoding models often struggle to generalize across tasks, subjects, and…

人工智能 · 计算机科学 2026-05-29 Ayse Betul Yuce , Sebastian Stober

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…

图像与视频处理 · 电气工程与系统科学 2022-07-14 Gexin Huang , Jiawen Liang , Ke Liu , Chang Cai , ZhengHui Gu , Feifei Qi , Yuan Qing Li , Zhu Liang Yu , Wei Wu

Electroencephalogram (EEG) classification plays a key role in medical diagnosis and brain-computer interfaces, but remains challenging due to low signal-to-noise ratios and high inter-subject variability. As a result, many existing…

机器学习 · 计算机科学 2026-05-18 Ahmad Bdeir , Johannes Burchert , Tom Hanika , Lars Schmidt-Thieme , Niels Landwehr

Machine learning (ML)-based analysis of electroencephalograms (EEGs) is playing an important role in advancing neurological care. However, the difficulties in automatically extracting useful metadata from clinical records hinder the…

计算与语言 · 计算机科学 2021-09-14 Samarth Rawal , Yogatheesan Varatharajah

Knowing the correct skull conductivity is crucial for the accuracy of EEG source imaging, but unfortunately, its true value, which is inter- and intra-individually varying, is difficult to determine. In this paper, we propose a statistical…

This paper presents a regularization technique incorporating a non-convex and non-smooth term, $\ell_{1}^{2}-\eta\ell_{2}^{2}$, with parameters $0<\eta\leq 1$ designed to address ill-posed linear problems that yield sparse solutions. We…

最优化与控制 · 数学 2025-06-16 Long Li , Liang Ding

Electroencephalography (EEG) analysis is an important domain in the realm of Brain-Computer Interface (BCI) research. To ensure BCI devices are capable of providing practical applications in the real world, brain signal processing…

信号处理 · 电气工程与系统科学 2024-08-08 Teng Liang , Andrews Damoah