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Epilepsy is a network disease. The epileptic network usually involves spatially distributed brain regions. In this context, noninvasive M/EEG source connectivity is an emerging technique to identify functional brain networks at cortical…

Neurons and Cognition · Quantitative Biology 2016-08-18 Mahmoud Hassan , Isabelle Merlet , Ahmad Mheich , Aya Kabbara , Arnaud Biraben , Anca Nica , Fabrice Wendling

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

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

Magnetoencephalography and electroencephalography (M/EEG) are non-invasive modalities that measure the weak electromagnetic fields generated by neural activity. Estimating the location and magnitude of the current sources that generated…

Machine Learning · Statistics 2019-10-16 Hicham Janati , Thomas Bazeille , Bertrand Thirion , Marco Cuturi , Alexandre Gramfort

Classification models for electroencephalogram (EEG) data show a large decrease in performance when evaluated on unseen test sub jects. We reduce this performance decrease using new regularization techniques during model training. We…

Machine Learning · Computer Science 2023-10-16 Niklas Smedemark-Margulies , Ye Wang , Toshiaki Koike-Akino , Jing Liu , Kieran Parsons , Yunus Bicer , Deniz Erdogmus

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

In electroencephalography (EEG) source imaging, the inverse source estimates are depth biased in such a way that their maxima are often close to the sensors. This depth bias can be quantified by inspecting the statistics (mean and…

Medical Physics · Physics 2025-07-04 Alexandra Koulouri , Ville Rimpiläinen , Mike Brookes , Jari P Kaipio

Inverse source localization from Helmholtz boundary data collected over a narrow aperture is highly ill-posed and severely undersampled, undermining classical solvers (e.g., the Direct Sampling Method). We present a modular framework that…

Numerical Analysis · Mathematics 2025-10-31 Guanyu Pan , Jianing Zhou , Xiaotong Liu , Yunqing Huang , Nianyu Yi

Reconstructing brain sources is a fundamental challenge in neuroscience, crucial for understanding brain function and dysfunction. Electroencephalography (EEG) signals have a high temporal resolution. However, identifying the correct…

Image and Video Processing · Electrical Eng. & Systems 2026-03-12 Marco Morik , Ali Hashemi , Klaus-Robert Müller , Stefan Haufe , Shinichi Nakajima

A non-parametric technique to identify weak sources within dense sensor arrays is developed using a network approach. No knowledge about the propagation medium is needed except that signal strengths decay to insignificant levels within a…

Data Analysis, Statistics and Probability · Physics 2015-08-24 Nima Riahi , Peter Gerstoft

Speech enhancement is widely used as a front-end to improve the speech quality in many audio systems, while it is hard to extract the target speech in multi-talker conditions without prior information on the speaker identity. It was shown…

Audio and Speech Processing · Electrical Eng. & Systems 2024-06-26 Jie Zhang , Qing-Tian Xu , Zhen-Hua Ling , Haizhou Li

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…

Numerical Analysis · Mathematics 2025-12-05 Martin Burger , Ole Løseth Elvetun , Bjørn Fredrik Nielsen

We propose an advance Steered Response Power (SRP) method for localizing multiple sources. While conventional SRP performs well in adverse conditions, it remains to struggle in scenarios with closely neighboring sources, resulting in…

Audio and Speech Processing · Electrical Eng. & Systems 2024-05-21 Wei-Ting Lai , Lachlan Birnie , Xingyu Chen , Amy Bastine , Thushara D. Abhayapala , Prasanga N. Samarasinghe

EDIT: A revised version of this article has been published in the SIAM Journal on Scientific Computing, see https://epubs.siam.org/doi/full/10.1137/23M1582874. In the revised version, the name of the approach was changed from "localized…

Computational Engineering, Finance, and Science · Computer Science 2025-02-04 Malte B. Höltershinken , Pia Lange , Tim Erdbrügger , Yvonne Buschermöhle , Fabrice Wallois , Alena Buyx , Sampsa Pursiainen , Johannes Vorwerk , Christian Engwer , Carsten H. Wolters

In this paper we consider the problem of localizing a set of broadband sources from a finite window of measurements. In the case of narrowband sources this can be reduced to the problem of spectral line estimation, where our goal is simply…

Signal Processing · Electrical Eng. & Systems 2022-10-24 Coleman DeLude , Rakshith Sharma , Santhosh Karnik , Christopher Hood , Mark Davenport , Justin Romberg

Determining the magnitude and location of neural sources within the brain that are responsible for generating magnetoencephalography (MEG) signals measured on the surface of the head is a challenging problem in functional neuroimaging. The…

High temporal resolution measurements of human brain activity can be performed by recording the electric potentials on the scalp surface (electroencephalography, EEG), or by recording the magnetic fields near the surface of the head…

Data Analysis, Statistics and Probability · Physics 2015-01-22 Kevin H. Knuth

We explore the possibility for using boundary data to identify sources in elliptic PDEs. Even though the associated forward operator has a large null space, it turns out that box constraints, combined with weighted sparsity regularization,…

Numerical Analysis · Mathematics 2023-03-06 Ole Løseth Elvetun , Bjørn Fredrik Nielsen

A quality-Bayesian approach, combining the direct sampling method and the Bayesian inversion, is proposed to reconstruct the locations and intensities of the unknown acoustic sources using partial data. First, we extend the direct sampling…

Numerical Analysis · Mathematics 2020-04-10 Zhaoxing Li , Yanfang Liu , Jiguang Sun , Liwei Xu

Objective: Cortico-muscular communication patterns are instrumental in understanding movement control. Estimating significant causal relationships between motor cortex electroencephalogram (EEG) and surface electromyogram (sEMG) from…

Signal Processing · Electrical Eng. & Systems 2025-01-22 Farwa Abbas , Verity McClelland , Zoran Cvetkovic , Wei Dai