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We consider the problem of providing optimal uncertainty quantification (UQ) --- and hence rigorous certification --- for partially-observed functions. We present a UQ framework within which the observations may be small or large in number,…

Probability · Mathematics 2016-05-20 T. J. Sullivan , M. McKerns , D. Meyer , F. Theil , H. Owhadi , M. Ortiz

Electrocardiograms (ECGs) are commonly used by cardiologists to detect heart-related pathological conditions. Reliable collections of ECGs are crucial for precise diagnosis. However, in clinical practice, the assignment of captured ECG…

Machine Learning · Computer Science 2023-09-20 Michal Seják , Jakub Sido , David Žahour

We evaluate uncertainty quantification (UQ) methods for deep learning applied to liquid argon time projection chamber (LArTPC) physics analysis tasks. As deep learning applications enter widespread usage among physics data analysis, neural…

High Energy Physics - Experiment · Physics 2023-11-02 Dae Heun Koh , Aashwin Mishra , Kazuhiro Terao

Uncertainty quantification for inverse problems in imaging has drawn much attention lately. Existing approaches towards this task define uncertainty regions based on probable values per pixel, while ignoring spatial correlations within the…

Computer Vision and Pattern Recognition · Computer Science 2024-01-23 Omer Belhasin , Yaniv Romano , Daniel Freedman , Ehud Rivlin , Michael Elad

Computed tomography (CT) imaging of the thorax is widely used for the detection and monitoring of pulmonary embolism (PE). However, CT images can contain artifacts due to the acquisition or the processes involved in image reconstruction.…

An electrocardiogram (ECG) is a time-series signal that is represented by one-dimensional (1-D) data. Higher dimensional representation contains more information that is accessible for feature extraction. Hidden variables such as frequency…

Machine Learning · Statistics 2019-04-12 K. S. Rajput , S. Wibowo , C. Hao , M. Majmudar

This review is designed to introduce mathematicians and computational scientists to quantum computing (QC) through the lens of uncertainty quantification (UQ) by presenting a mathematically rigorous and accessible narrative for…

Quantum Physics · Physics 2026-03-30 Ryan Bennink , Olena Burkovska , Konstantin Pieper , Jorge Ramirez , Elaine Wong

Most uncertainty quantification (UQ) approaches provide a single scalar value as a measure of model reliability. However, different uncertainty measures could provide complementary information on the prediction confidence. Even measures…

Modern wearable devices are embedded with a range of noninvasive biomarker sensors that hold promise for improving detection and treatment of disease. One such sensor is the single-lead electrocardiogram (ECG) which measures electrical…

Machine Learning · Statistics 2020-12-02 Jeffrey Chan , Andrew C. Miller , Emily B. Fox

This paper presents a computational solution that enables continuous cardiac monitoring through cross-modality inference of electrocardiogram (ECG). While some smartwatches now allow users to obtain a 30-second ECG test by tapping a…

Signal Processing · Electrical Eng. & Systems 2024-05-20 Yuenan Li , Xin Tian , Qiang Zhu , Min Wu

The electrocardiogram (ECG) is a widely-used medical test, typically consisting of 12 voltage versus time traces collected from surface recordings over the heart. Here we hypothesize that a deep neural network can predict an important…

The characterization of heart dynamics with a view to distinguish abnormal from normal behavior is an interesting topic in clinical sciences. Here we present an analysis of the Electro-cardiogram (ECG) signals obtained under controlled…

Tissues and Organs · Quantitative Biology 2018-09-05 Snehal M. Shekatkar , Yamini Kotriwar , K. P. Harikrishnan , G. Ambika

In this work we present a new idea to develop a method to separate stochastic and deterministic information contained in an electrocardiogram, ECG, which may provide new sources of information with diagnostic purposes. We assume that the…

Data Analysis, Statistics and Probability · Physics 2016-08-16 R. M. Gutiérrez , L. Sandoval

Electrocardiogram (ECG) abnormalities are linked to cardiovascular diseases, but may also occur in other non-cardiovascular conditions such as mental, neurological, metabolic and infectious conditions. However, most of the recent success of…

Signal Processing · Electrical Eng. & Systems 2022-10-13 Weijie Sun , Sunil Vasu Kalmady , Amir Salimi , Nariman Sepehrvand , Eric Ly , Abram Hindle , Russell Greiner , Padma Kaul

This study investigates the feasibility of using electrocardiogram (ECG) data combined with basic patient metadata to estimate and monitor prompt laboratory abnormalities. We use the MIMIC-IV dataset to train multimodal deep learning models…

Signal Processing · Electrical Eng. & Systems 2025-11-20 Juan Miguel Lopez Alcaraz , Nils Strodthoff

Scientific Machine Learning is a new class of approaches that integrate physical knowledge and mechanistic models with data-driven techniques for uncovering governing equations of complex processes. Among the available approaches, Universal…

Machine Learning · Statistics 2024-06-14 Nina Schmid , David Fernandes del Pozo , Willem Waegeman , Jan Hasenauer

Assessing the quality of aleatoric uncertainty estimates from uncertainty quantification (UQ) deep learning methods is important in scientific contexts, where uncertainty is physically meaningful and important to characterize and interpret…

Machine Learning · Computer Science 2024-11-14 Rebecca Nevin , Aleksandra Ćiprijanović , Brian D. Nord

The electrocardiogram (ECG) remains a fundamental tool in cardiac diagnostics, yet its interpretation traditionally reliant on the expertise of cardiologists. The emergence of deep learning has heralded a revolutionary era in medical data…

Signal Processing · Electrical Eng. & Systems 2024-09-13 Cheng Ding , Tianliang Yao , Chenwei Wu , Jianyuan Ni

Partial differential equations (PDEs) are fundamental for theoretically describing numerous physical processes that are based on some input fields in spatial configurations. Understanding the physical process, in general, requires…

Numerical Analysis · Mathematics 2020-10-16 Mahadevan Ganesh , Stuart C Hawkins , Alexandre Tartakovsky , Ramakrishna Tipireddy

Uncertainty quantification is crucial for the deployment of image restoration models in safety-critical domains, like autonomous driving and biological imaging. To date, methods for uncertainty visualization have mainly focused on per-pixel…

Computer Vision and Pattern Recognition · Computer Science 2023-11-07 Elias Nehme , Omer Yair , Tomer Michaeli