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A fast algorithm for the approximation of a low rank LU decomposition is presented. In order to achieve a low complexity, the algorithm uses sparse random projections combined with FFT-based random projections. The asymptotic approximation…

Numerical Analysis · Mathematics 2016-01-19 Yariv Aizenbud , Gil Shabat , Amir Averbuch

The Ensemble Empirical Mode Decomposition (EEMD) has become a preferred technique to decompose nonlinear and non-stationary signals due to its ability to create time-varying basis functions. However, current EEMD signal cleaning techniques…

Signal Processing · Electrical Eng. & Systems 2022-08-29 Kentaro Hoffman , Jonathan M. Lees , Kai Zhang

Data fusion refers to the joint analysis of multiple datasets which provide complementary views of the same task. In this preprint, the problem of jointly analyzing electroencephalography (EEG) and functional Magnetic Resonance Imaging…

Signal Processing · Electrical Eng. & Systems 2020-05-15 Christos Chatzichristos , Eleftherios Kofidis , Lieven De Lathauwer , Sergios Theodoridis , Sabine Van Huffel

We propose a method for retrospective motion correction of fMRI data in simultaneous EEG-fMRI that employs the EEG array as a sensitive motion detector. EEG motion artifacts are used to generate motion regressors describing rotational head…

Medical Physics · Physics 2012-08-31 Vadim Zotev , Han Yuan , Raquel Phillips , Jerzy Bodurka

Samples of brain signals collected by EEG sensors have inherent anti-correlations that are well modeled by negative edges in a finite graph. To differentiate epilepsy patients from healthy subjects using collected EEG signals, we build…

Machine Learning · Computer Science 2026-03-04 Junyi Yao , Parham Eftekhar , Gene Cheung , Xujin Chris Liu , Yao Wang , Wei Hu

Magnetic Resonance Imaging (MRI) offers high-resolution \emph{in vivo} imaging and rich functional and anatomical multimodality tissue contrast. In practice, however, there are challenges associated with considerations of scanning costs,…

Computer Vision and Pattern Recognition · Computer Science 2017-05-09 Yawen Huang , Ling Shao , Alejandro F. Frangi

The electroencephalogram (EEG) and functional near-infrared spectroscopy (fNIRS) signals, highly non-stationary in nature, greatly suffers from motion artifacts while recorded using wearable sensors. This paper proposes two robust methods:…

While functional magnetic resonance imaging (fMRI) offers valuable insights into brain activity, it is limited by high operational costs and significant infrastructural demands. In contrast, electroencephalography (EEG) provides…

Computer Vision and Pattern Recognition · Computer Science 2025-04-29 Kristofer Grover Roos , Atsushi Fukuda , Quan Huu Cap

Transcranial magnetic stimulation combined with electroencephalography (TMS-EEG) is widely used to study the reactivity and connectivity of brain regions for clinical or research purposes. The electromagnetic pulse of the TMS device…

Quantitative Methods · Quantitative Biology 2019-10-30 Panteleimon Vafeidis , Vasilios K. Kimiskidis , Dimitris Kugiumtzis

We study the Sparse Plus Low-Rank decomposition problem (SLR), which is the problem of decomposing a corrupted data matrix into a sparse matrix of perturbations plus a low-rank matrix containing the ground truth. SLR is a fundamental…

Machine Learning · Statistics 2023-11-15 Dimitris Bertsimas , Ryan Cory-Wright , Nicholas A. G. Johnson

A core aim of neurocritical care is to prevent secondary brain injury. Spreading depolarizations (SDs) have been identified as an important independent cause of secondary brain injury. SDs are usually detected using invasive…

Signal Processing · Electrical Eng. & Systems 2026-05-19 Yinzhe Wu , Sharon Jewell , Xiaodan Xing , Yang Nan , Anthony J. Strong , Guang Yang , Martyn G. Boutelle

Electroencephalograms (EEG) are often contaminated by artifacts which make interpreting them more challenging for clinicians. Hence, automated artifact recognition systems have the potential to aid the clinical workflow. In this abstract,…

Signal Processing · Electrical Eng. & Systems 2019-03-20 Subhrajit Roy

Recently, the low-rank property of different components extracted from the image has been considered in man hyperspectral image denoising methods. However, these methods usually unfold the 3D tensor to 2D matrix or 1D vector to exploit the…

Computer Vision and Pattern Recognition · Computer Science 2021-11-16 Hang Zhou , Yanchi Su , Zhanshan Li

Parallel magnetic resonance imaging has served as an effective and widely adopted technique for accelerating scans. The advent of sparse sampling offers aggressive acceleration, allowing flexible sampling and better reconstruction.…

Medical Physics · Physics 2019-09-09 Xinlin Zhang , Di Guo , Yiman Huang , Ying Chen , Liansheng Wang , Feng Huang , Xiaobo Qu

Magnetic Resonance Imaging (MRI) is an essential diagnostic tool in clinical settings but its utility is often hindered by noise artifacts introduced during the imaging process. Effective denoising is critical for enhancing image quality…

Image and Video Processing · Electrical Eng. & Systems 2025-06-23 Zeyun Deng , Joseph Campbell

In this work, we propose an innovative framework that integrates EEG, image, and text data, aiming to decode visual neural representations from low signal-to-noise ratio EEG signals. Specifically, we introduce text modality to enhance the…

Computer Vision and Pattern Recognition · Computer Science 2025-09-04 Kaili sun , Xingyu Miao , Bing Zhai , Haoran Duan , Yang Long

Background: Many magnetoencephalographs (MEG) contain, in addition to data channels, a set of reference channels positioned relatively far from the head that provide information on magnetic fields not originating from the brain. This…

Neurons and Cognition · Quantitative Biology 2020-01-13 Jeff Hanna , Cora Kim , Nadia Müller-Voggel

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

Building machine learning models using EEG recorded outside of the laboratory setting requires methods robust to noisy data and randomly missing channels. This need is particularly great when working with sparse EEG montages (1-6 channels),…

Machine Learning · Computer Science 2021-05-28 Hubert Banville , Sean U. N. Wood , Chris Aimone , Denis-Alexander Engemann , Alexandre Gramfort

Electroencephalogram (EEG) data is crucial for diagnosing mental health conditions but is costly and time-consuming to collect at scale. Synthetic data generation offers a promising solution to augment datasets for machine learning…

Signal Processing · Electrical Eng. & Systems 2025-07-08 Gideon Vos , Maryam Ebrahimpour , Liza van Eijk , Zoltan Sarnyai , Mostafa Rahimi Azghadi