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The electroencephalography (EEG) source imaging problem is very sensitive to the electrical modelling of the skull of the patient under examination. Unfortunately, the currently available EEG devices and their embedded software do not take…

Machine Learning · Computer Science 2020-02-04 Alexandra Koulouri , Ville Rimpilainen

Brain-computer interfaces (BCIs) often suffer from limited robustness and poor long-term adaptability. Model performance rapidly degrades when user attention fluctuates, brain states shift over time, or irregular artifacts appear during…

Signal Processing · Electrical Eng. & Systems 2025-11-12 Yeon-Woo Choi , Hye-Bin Shin , Dan Li

Electroencephalography (EEG) source imaging aims to infer brain activity from electrical potentials measured on the scalp. This is a difficult problem because many different source patterns can explain the same measurements. The result…

Numerical Analysis · Mathematics 2026-04-29 Santtu Söderholm , Joonas Lahtinen , Sampsa Pursiainen

Kalman filters are widely used for object tracking, where process and measurement noise are usually considered accurately known and constant. However, the exact known and constant assumptions do not always hold in practice. For example,…

Computer Vision and Pattern Recognition · Computer Science 2021-12-23 Chao Jiang , Zhiling Wang , Shuhang Tan , Huawei Liang

Monitoring of electrocardiogram (ECG) provides vital information as well as any cardiovascular anomalies. Recent advances in the technology of wearable electronics have enabled compact devices to acquire personal physiological signals in…

Signal Processing · Electrical Eng. & Systems 2022-07-26 Sadaf Sarafan , Hoang Vuong , Daniel Jilani , Samir Malhotra , Michael P. H. Lau , Manoj Vishwanath , Tadesse Ghirmai , Hung Cao

Investigation of human brain states through electroencephalograph (EEG) signals is a crucial step in human-machine communications. However, classifying and analyzing EEG signals are challenging due to their noisy, nonlinear and…

Machine Learning · Statistics 2019-12-19 Farzana Nasrin , Christopher Oballe , David L. Boothe , Vasileios Maroulas

Electroencephalogram (EEG) provides noninvasive measures of brain activity and is found to be valuable for diagnosis of some chronic disorders. Specifically, pre-treatment EEG signals in alpha and theta frequency bands have demonstrated…

Applications · Statistics 2023-05-24 Bin Yang , Xingche Guo , Ji Meng Loh , Qinxia Wang , Yuanjia Wang

Patterns of brain activity are associated with different brain processes and can be used to identify different brain states and make behavioral predictions. However, the relevant features are not readily apparent and accessible. To mine…

Electroencephalography (EEG) is a vital tool to measure and record brain activity in neuroscience and clinical applications, yet its potential is constrained by signal heterogeneity, low signal-to-noise ratios, and limited labeled datasets.…

Machine Learning · Computer Science 2024-09-20 Enze Shi , Kui Zhao , Qilong Yuan , Jiaqi Wang , Huawen Hu , Sigang Yu , Shu Zhang

In this paper, we analyze electroencephalograms (EEG) which are recordings of brain electrical activity. We develop new clustering methods for identifying synchronized brain regions, where the EEGs show similar oscillations or waveforms…

Methodology · Statistics 2020-07-29 Tianbo Chen , Ying Sun , Carolina Euan , Hernando Ombao

Accurate structural response prediction forms a main driver for structural health monitoring and control applications. This often requires the proposed model to adequately capture the underlying dynamics of complex structural systems. In…

Machine Learning · Computer Science 2023-07-04 Wei Liu , Zhilu Lai , Kiran Bacsa , Eleni Chatzi

State estimation that combines observational data with mathematical models is central to many applications and is commonly addressed through filtering methods, such as ensemble Kalman filters. In this article, we examine the signal-tracking…

Numerical Analysis · Mathematics 2025-09-08 Nazanin Abedini , Jana de Wiljes , Svetlana Dubinkina

State estimation refers to determining the states of a dynamical system that starts from a noisy initial condition and evolves under process noise, based on noisy measurements and a known system model. For linear dynamical systems with…

Optimization and Control · Mathematics 2025-07-11 Avneet Kaur , Ruikun Zhou , Jun Liu , Kirsten Morris

Inferring patterns of synchronous brain activity from a heterogeneous sample of electroencephalograms (EEG) is scientifically and methodologically challenging. While it is intuitively and statistically appealing to rely on readings from…

The Kalman filter is a fundamental filtering algorithm that fuses noisy sensory data, a previous state estimate, and a dynamics model to produce a principled estimate of the current state. It assumes, and is optimal for, linear models and…

Neural and Evolutionary Computing · Computer Science 2021-04-30 Beren Millidge , Alexander Tschantz , Anil Seth , Christopher Buckley

We present a new online approach to track human whole-body motion from motion capture data, i.e., positions of labeled markers attached to the human body. Tracking in noisy data can be effectively performed with the aid of well-established…

Systems and Control · Computer Science 2015-11-16 Jannik Steinbring , Christian Mandery , Nikolaus Vahrenkamp , Tamim Asfour , Uwe D. Hanebeck

This report provides a brief historical evolution of the concepts in the Kalman filtering theory since ancient times to the present. A brief description of the filter equations its aesthetics, beauty, truth, fascinating perspectives and…

Methodology · Statistics 2015-03-17 Shyam Mohan M , Naren Naik , R. M. O. Gemson , M. R. Ananthasayanam

System identification poses a significant bottleneck to characterizing and controlling complex systems. This challenge is greatest when both the system states and parameters are not directly accessible leading to a dual-estimation problem.…

Systems and Control · Electrical Eng. & Systems 2021-04-08 Matthew F. Singh , Chong Wang , Michael W. Cole , ShiNung Ching

Electrophysiological brain signals, such as electroencephalography (EEG), exhibit both periodic and aperiodic components, with the latter often modeled as 1/f noise and considered critical to cognitive and neurological processes. Although…

Neurons and Cognition · Quantitative Biology 2025-05-27 Yuhao Sun , Zhiyuan Ma , Xinke Shen , Jinhao Li , Guan Wang , Sen Song

In this paper, we have developed a new measure of understanding the temporal evolution of phase synchronization for EEG signals using cross-electrode information. From this measure it is found that there exists a small number of…

Medical Physics · Physics 2016-12-04 Wasifa Jamal , Saptarshi Das , Koushik Maharatna