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Models of electrical excitation and recovery in the heart have become increasingly detailed, but have yet to be used routinely in the clinical setting to guide personalized intervention in patients. One of the main challenges is calibrating…

Computational models of atrial fibrillation have successfully been used to predict optimal ablation sites. A critical step to assess the effect of an ablation pattern is to pace the model from different, potentially random, locations to…

Machine Learning · Computer Science 2021-12-17 Lia Gander , Simone Pezzuto , Ali Gharaviri , Rolf Krause , Paris Perdikaris , Francisco Sahli Costabal

In this article, we propose a novel ECG classification framework for atrial fibrillation (AF) detection using spectro-temporal representation (i.e., time varying spectrum) and deep convolutional networks. In the first step we use a Bayesian…

Signal Processing · Electrical Eng. & Systems 2018-12-14 Zheng Zhao , Simo Särkkä , Ali Bahrami Rad

The Ensemble Kalman filter (EnKF) was introduced by Evensen in 1994 [10] as a novel method for data assimilation: state estimation for noisily observed time-dependent problems. Since that time it has had enormous impact in many application…

Optimization and Control · Mathematics 2013-04-08 Marco A. Iglesias , Kody J. H. Law , Andrew M. Stuart

The ensemble Kalman filter (EnKF) (Evensen, 2009) has proven effective in quantifying uncertainty in a number of challenging dynamic, state estimation, or data assimilation, problems such as weather forecasting and ocean modeling. In these…

This paper extends the ensemble Kalman filter (EnKF) for inverse problems to identify trending model coefficients. This is done by repeatedly inflating the ensemble while maintaining the mean of the particles. As a benchmark serves a…

Optimization and Control · Mathematics 2020-01-30 M. Schwenzer , G. Visconti , M. Ay , T. Bergs , M. Herty , D. Abel

Atrial fibrillation (AF) is the most prevalent cardiac arrhythmia worldwide, with 2% of the population affected. It is associated with an increased risk of strokes, heart failure and other heart-related complications. Monitoring at-risk…

Machine Learning · Computer Science 2021-11-24 Sideshwar J B , Sachin Krishan T , Vishal Nagarajan , Shanthakumar S , Vineeth Vijayaraghavan

In this manuscript we introduce numerical Gaussian process Kalman filtering (GPKF). Numerical Gaussian processes have recently been developed to simulate spatiotemporal models. The contribution of this paper is to embed numerical Gaussian…

Machine Learning · Statistics 2020-05-12 Armin Küper , Steffen Waldherr

Atrial fibrillation is a heart rhythm disorder that affects tens of millions people worldwide. The most effective treatment is catheter ablation. This involves irreversible heating of abnormal cardiac tissue facilitated by electroanatomical…

Medical Physics · Physics 2022-11-01 Jiyue He , Arkady Pertsov , Sanjay Dixit , Katie Walsh , Eric Toolan , Rahul Mangharam

Atrial fibrillation (AF) is a common cardiac arrhythmia that significantly increases the risk of stroke and heart failure, necessitating reliable and generalizable detection methods from electrocardiogram (ECG) recordings. Although deep…

Quantitative Methods · Quantitative Biology 2026-01-16 Hongtao Li , Jia Wei , Jia Xiao , Yuanjun Lai , Mingyang Liu , Shuzhen Lv , Xueqiang Ouyang

The ensemble Kalman filter (EnKF) is a widely used methodology for state estimation in partial, noisily observed dynamical systems, and for parameter estimation in inverse problems. Despite its widespread use in the geophysical sciences,…

Numerical Analysis · Mathematics 2016-09-21 Claudia Schillings , Andrew M. Stuart

Atrial fibrillation (AF) is a common cardiac arrhythmia and a major risk factor for ischemic stroke. Early detection of AF using non-invasive signals can enable timely intervention. In this work, we present a comprehensive machine learning…

Computers and Society · Computer Science 2026-02-23 Ankit Singh , Vidhi Thakur , Nachiket Tapas

Objective: Atrial fibrillation (AF) is the most common cardiac arrhythmia experienced by intensive care unit (ICU) patients and can cause adverse health effects. In this study, we publish a labelled ICU dataset and benchmarks for AF…

The sample covariance matrix of a random vector is a good estimate of the true covariance matrix if the sample size is much larger than the length of the vector. In high-dimensional problems, this condition is never met. As a result, in…

Data Analysis, Statistics and Probability · Physics 2024-11-12 Michael Tsyrulnikov , Arseniy Sotskiy

This work presents new results and understanding of the Ensemble Kalman filter (EnKF) for inverse problems. In particular, using a Lagrangian dual perspective we show that EnKF can be derived from the sample average approximation (SAA) of…

Numerical Analysis · Mathematics 2026-01-27 C G Krishnanunni , Jonathan Wittmer , Tan Bui-Thanh , Quoc P. Nguyen

Atrial Fibrillation (AF) is a common cardiac arrhythmia affecting a large number of people around the world. If left undetected, it will develop into chronic disability or even early mortality. However, patients who have this problem can…

Signal Processing · Electrical Eng. & Systems 2021-01-20 Dacheng Chen , Dan Li , Xiuqin Xu , Ruizhi Yang , See-Kiong Ng

The inverse problem of determining parameters in a model by comparing some output of the model with observations is addressed. This is a description for what hat to be done to use the Gauss-Markov-Kalman filter for the Bayesian estimation…

Numerical Analysis · Mathematics 2016-11-29 Hermann G. Matthies , Alexander Litvinenko , Bojana V. Rosic , Elmar Zander

Atrial fibrillation (AF) is the most common cardiac arrhythmia and associated with a high risk for serious conditions like stroke. The use of wearable devices embedded with automatic and timely AF assessment from electrocardiograms (ECGs)…

Signal Processing · Electrical Eng. & Systems 2023-09-12 Leonie Basso , Zhao Ren , Wolfgang Nejdl

The Gaussian process state-space models (GPSSMs) represent a versatile class of data-driven nonlinear dynamical system models. However, the presence of numerous latent variables in GPSSM incurs unresolved issues for existing variational…

Machine Learning · Computer Science 2024-07-23 Zhidi Lin , Yiyong Sun , Feng Yin , Alexandre Hoang Thiéry

The Kalman filter (KF) provides optimal recursive state estimates for linear-Gaussian systems and underpins applications in control, signal processing, and others. However, it is vulnerable to outliers in the measurements and process noise.…

Systems and Control · Electrical Eng. & Systems 2025-07-02 Alan Yang , Stephen Boyd
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