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Related papers: Multi-fidelity estimators for coronary circulation…

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In system analysis and design optimization, multiple computational models are typically available to represent a given physical system. These models can be broadly classified as high-fidelity models, which provide highly accurate…

Machine Learning · Computer Science 2024-11-01 Ruda Zhang , Negin Alemazkoor

In predictive modeling with simulation or machine learning, it is critical to accurately assess the quality of estimated values through output analysis. In recent decades output analysis has become enriched with methods that quantify the…

Methodology · Statistics 2023-10-27 Kimia Vahdat , Sara Shashaani

In statistics and machine learning, approximation of an intractable integration is often achieved by using the unbiased Monte Carlo estimator, but the variances of the estimation are generally high in many applications. Control variates…

Machine Learning · Statistics 2019-10-16 Ruosi Wan , Mingjun Zhong , Haoyi Xiong , Zhanxing Zhu

The study of complex systems is often based on computationally intensive, high-fidelity, simulations. To build confidence in the prediction accuracy of such simulations, the impact of uncertainties in model inputs on the quantities of…

Computational Physics · Physics 2018-01-19 Lluis Jofre , Gianluca Geraci , Hillary Fairbanks , Alireza Doostan , Gianluca Iaccarino

Photoplethysmography (PPG) signals encode information about relative changes in blood volume that can be used to assess various aspects of cardiac health non-invasively, e.g.\ to detect atrial fibrillation (AF) or predict blood pressure…

Machine Learning · Computer Science 2025-05-19 Ciaran Bench , Vivek Desai , Mohammad Moulaeifard , Nils Strodthoff , Philip Aston , Andrew Thompson

Coronary heart disease (CHD) remains a leading cause of mortality worldwide. This study introduces a novel approach that integrates patient-specific Multi-slice CT scans into CAD models, using a one-dimensional numerical framework to assess…

Medical Physics · Physics 2025-05-21 Priyanshu Ghosh , Sayan Karmakar , Disha Mondal , Oeshee Roy , Supratim Saha

We present a multi-fidelity method for uncertainty quantification of parameter estimates in complex systems, leveraging generative models trained to sample the target conditional distribution. In the Bayesian inference setting, traditional…

Machine Learning · Computer Science 2025-04-03 Caroline Tatsuoka , Minglei Yang , Dongbin Xiu , Guannan Zhang

Multi-fidelity Monte Carlo methods leverage low-fidelity and surrogate models for variance reduction to make tractable uncertainty quantification even when numerically simulating the physical systems of interest with high-fidelity models is…

Numerical Analysis · Mathematics 2022-11-22 Ionut-Gabriel Farcas , Benjamin Peherstorfer , Tobias Neckel , Frank Jenko , Hans-Joachim Bungartz

In traffic flow modeling, incorporating uncertainty is crucial for accurately capturing the complexities of real-world scenarios. In this work we focus on kinetic models of traffic flow, where a key step is to design effective numerical…

Numerical Analysis · Mathematics 2025-01-28 Elisa Iacomini , Lorenzo Pareschi

SUMMARY This work aims at quantifying the effect of inherent uncertainties from cardiac output on the sensitivity of a human compliant arterial network response based on stochastic simulations of a reduced-order pulse wave propagation…

Numerical Analysis · Mathematics 2016-06-22 A Brault , L Dumas , D Lucor

Monte Carlo methods to evaluate and maximize the likelihood function enable the construction of confidence intervals and hypothesis tests, facilitating scientific investigation using models for which the likelihood function is intractable.…

Methodology · Statistics 2017-02-13 Edward L. Ionides , Carles Breto , Joonha Park , Richard A. Smith , Aaron A. King

Clinician-facing predictive models are increasingly present in the healthcare setting. Regardless of their success with respect to performance metrics, all models have uncertainty. We investigate how to visually communicate uncertainty in…

Human-Computer Interaction · Computer Science 2022-10-25 Caitlin F. Harrigan , Gabriela Morgenshtern , Anna Goldenberg , Fanny Chevalier

Proper quantification and propagation of uncertainties in computational simulations are of critical importance. This issue is especially challenging for CFD applications. A particular obstacle for uncertainty quantifications in CFD problems…

Computational Physics · Physics 2018-04-10 Jian-xun Wang , Christopher J. Roy , Heng Xiao

Machine learning (ML) models are increasingly being used in metrology applications. However, for ML models to be credible in a metrology context they should be accompanied by principled uncertainty quantification. This paper addresses the…

Machine Learning · Computer Science 2024-05-09 Andrew Thompson

Predictive modeling of blood flow and pressure have numerous applications ranging from non-invasive assessment of functional significance of disease to planning invasive procedures. While several such predictive modeling techniques have…

In a multi-fidelity setting, data are available from two sources, high- and low-fidelity. Low-fidelity data has larger size and can be leveraged to make more efficient inference about quantities of interest, e.g. the mean, for high-fidelity…

Methodology · Statistics 2026-03-12 Minji Kim , Brendan Brown , Vladas Pipiras

We present a hybrid sampling-surrogate approach for reducing the computational expense of uncertainty quantification in nonlinear dynamical systems. Our motivation is to enable rapid uncertainty quantification in complex mechanical systems…

Computation · Statistics 2022-01-27 Hang Yang , Yuji Fujii , K. W. Wang , Alex A. Gorodetsky

Coronary Microvascular Dysfunction (CMD) is characterized by impaired vasodilation and can lead to insufficient blood flow to the myocardium during stress or exertion, affecting millions of people globally. Despite their diagnostic value,…

Computational Engineering, Finance, and Science · Computer Science 2025-08-04 Haizhou Yang , Jiyang Zhang , Ismael Z. Assi , Brahmajee K. Nallamothu , Krishna Garikipati , C. Alberto Figueroa

Flow cytometry measurements are widely used in diagnostics and medical decision making. Incomplete understanding of sources of measurement uncertainty can make it difficult to distinguish autofluorescence and background sources from signals…

Quantitative Methods · Quantitative Biology 2024-12-02 Prajakta Bedekar , Megan A. Catterton , Matthew DiSalvo , Gregory A. Cooksey , Anthony J. Kearsley , Paul N. Patrone

The application of deep learning models to large-scale data sets requires means for automatic quality assurance. We have previously developed a fully automatic algorithm for carotid artery wall segmentation in black-blood MRI that we aim to…

Image and Video Processing · Electrical Eng. & Systems 2023-08-21 Elina Thibeau-Sutre , Dieuwertje Alblas , Sophie Buurman , Christoph Brune , Jelmer M. Wolterink