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A new parallel solver for the volumetric integral equations (IE) of electrodynamics is presented. The solver is based on the Galerkin method which ensures the convergent numerical solution. The main features include: (i) the memory usage is…

Numerical Analysis · Mathematics 2017-01-10 Mikhail Kruglyakov , Lidia Bloshanskaya

We introduce a unified benchmarking framework focused on evaluating EEG-based foundation models in clinical applications. The benchmark spans 11 well-defined diagnostic tasks across 14 publicly available EEG datasets, including epilepsy,…

Machine Learning · Computer Science 2025-12-11 Ard Kastrati , Josua Bürki , Jonas Lauer , Cheng Xuan , Raffaele Iaquinto , Roger Wattenhofer

Noninvasive reconstruction of cardiac electrical activity from surface electrocardiograms (ECG) involves solving an ill-posed inverse problem. Cardiac electrophysiological (EP) models have been used as important a priori knowledge to…

Image and Video Processing · Electrical Eng. & Systems 2019-05-14 Sandesh Ghimire , John L Sapp , Milan Horacek , Linwei Wang

Electrocardiogram (ECG) is widely used in healthcare applications, such as arrhythmia detection and sleep monitoring, making accurate ECG analysis critically essential. Traditional deep learning models for ECG are task-specific, with…

Signal Processing · Electrical Eng. & Systems 2025-10-14 Yu Han , Vittorio Murino , Xiaofeng Liu , Xiang Zhang , Cheng Ding

This work reformulates the complete electrode model of electrical impedance tomography in order to enable more efficient numerical solution. The model traditionally assumes constant contact conductances on all electrodes, which leads to a…

Numerical Analysis · Mathematics 2017-07-07 Nuutti Hyvönen , Lauri Mustonen

Many important geometric estimation problems take the form of synchronization over the special Euclidean group: estimate the values of a set of poses given a set of relative measurements between them. This problem is typically formulated as…

Robotics · Computer Science 2017-02-07 David M. Rosen , Luca Carlone , Afonso S. Bandeira , John J. Leonard

Electroencephalography (EEG) signals have been promising for long-term braking intensity prediction but are prone to various artifacts that limit their reliability. Here, we propose a novel framework that models EEG signals as mixtures of…

Human-Computer Interaction · Computer Science 2026-04-21 Zikun Zhou , Wenshuo Wang , Wenzhuo Liu , Hui Yao , Chaopeng Zhang , Yichen Liu , Xiaonan Yang , Junqiang Xi

Neuroimaging modalities such as functional magnetic resonance imaging (fMRI) and electroencephalography (EEG) provide information about neurological functions in complementary spatiotemporal resolutions; therefore, fusion of these…

Applications · Statistics 2020-12-23 Evrim Acar , Yuri Levin-Schwartz , Vince D. Calhoun , Tülay Adalı

The state of art of electromagnetic integral equations has seen significant growth over the past few decades, overcoming some of the fundamental bottlenecks: computational complexity, low frequency and dense discretization breakdown,…

Numerical Analysis · Mathematics 2022-09-21 A. M. A. Alsnayyan , B. Shanker

Representation and classification of Electroencephalography (EEG) brain signals are critical processes for their analysis in cognitive tasks. Particularly, extraction of discriminative features from raw EEG signals, without any…

Machine Learning · Computer Science 2019-05-01 Emad-ul-Haq Qazi , Muhammad Hussain , Hatim Aboalsamh

To handle the scarcity and heterogeneity of electroencephalography (EEG) data for Brain-Computer Interface (BCI) tasks, and to harness the power of large publicly available data sets, we propose Neuro-GPT, a foundation model consisting of…

Machine Learning · Computer Science 2024-03-05 Wenhui Cui , Woojae Jeong , Philipp Thölke , Takfarinas Medani , Karim Jerbi , Anand A. Joshi , Richard M. Leahy

Electroencephalography (EEG) is an objective tool for emotion recognition and shows promising performance. However, the label scarcity problem is a main challenge in this field, which limits the wide application of EEG-based emotion…

Signal Processing · Electrical Eng. & Systems 2024-09-02 Rushuang Zhou , Weishan Ye , Zhiguo Zhang , Yanyang Luo , Li Zhang , Linling Li , Gan Huang , Yining Dong , Yuan-Ting Zhang , Zhen Liang

Electroencephalography (EEG) is widely used in neuroscience and clinical research for analyzing brain activity. While deep learning models such as EEGNet have shown success in decoding EEG signals, they often struggle with data complexity,…

Quantum Physics · Physics 2025-03-05 Chi-Sheng Chen , Samuel Yen-Chi Chen , Huan-Hsin Tseng

Physiological signals such as electrocardiograms (ECG) and electroencephalograms (EEG) provide complementary insights into human health and cognition, yet multi-modal integration is challenging due to limited multi-modal labeled data, and…

Electroencephalogram (EEG) data compression is necessary for wireless recording applications to reduce the amount of data that needs to be transmitted. In this paper, an asymmetrical sparse autoencoder with a discrete cosine transform (DCT)…

Signal Processing · Electrical Eng. & Systems 2023-09-22 Xin Zhu , Hongyi Pan , Shuaiang Rong , Ahmet Enis Cetin

Electroencephalography signals (EEGs) contain rich multi-scale information crucial for understanding brain states, with potential applications in diagnosing and advancing the drug development landscape. However, extracting meaningful…

Machine Learning · Computer Science 2025-09-26 D. Darankoum , C. Habermacher , J. Volle , S. Grudinin

Cardiac digital twins (CDTs) are personalized virtual representations used to understand complex cardiac mechanisms. A critical component of CDT development is solving the ECG inverse problem, which enables the reconstruction of cardiac…

Computer Vision and Pattern Recognition · Computer Science 2024-09-16 Lei Li , Julia Camps , Blanca Rodriguez , Vicente Grau

Electroencephalography (EEG) foundation models have recently emerged as a promising paradigm for brain-computer interfaces (BCIs), aiming to learn transferable neural representations from large-scale heterogeneous recordings. Despite rapid…

Machine Learning · Computer Science 2026-02-06 Dingkun Liu , Yuheng Chen , Zhu Chen , Zhenyao Cui , Yaozhi Wen , Jiayu An , Jingwei Luo , Dongrui Wu

Electroencephalogram (EEG) decoding aims to identify the perceptual, semantic, and cognitive content of neural processing based on non-invasively measured brain activity. Traditional EEG decoding methods have achieved moderate success when…

Signal Processing · Electrical Eng. & Systems 2022-03-09 Xun Chen , Chang Li , Aiping Liu , Martin J. McKeown , Ruobing Qian , Z. Jane Wang

Backpropagation through (neural) SDE solvers is traditionally approached in two ways: discretise-then-optimise, which offers accurate gradients but incurs prohibitive memory costs; and optimise-then-discretise, which achieves constant…

Machine Learning · Computer Science 2026-05-12 Daniil Shmelev , Luke Thompson , Cristopher Salvi