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Quantitative MRI (qMRI) refers to a class of MRI methods for quantifying the spatial distribution of biological tissue parameters. Traditional qMRI methods usually deal separately with artifacts arising from accelerated data acquisition,…

Image and Video Processing · Electrical Eng. & Systems 2025-02-21 Xiaojian Xu , Weijie Gan , Satya V. V. N. Kothapalli , Dmitriy A. Yablonskiy , Ulugbek S. Kamilov

Quantitative Magnetic Resonance Imaging (qMRI) provides researchers insight into pathological and physiological alterations of living tissue, with the help of which researchers hope to predict (local) therapeutic efficacy early and…

Applications · Statistics 2008-07-30 Xiaoxi Zhang , Timothy D. Johnson , Roderick J. A. Little , Yue Cao

On top of machine learning models, uncertainty quantification (UQ) functions as an essential layer of safety assurance that could lead to more principled decision making by enabling sound risk assessment and management. The safety and…

Machine Learning · Computer Science 2024-03-28 Venkat Nemani , Luca Biggio , Xun Huan , Zhen Hu , Olga Fink , Anh Tran , Yan Wang , Xiaoge Zhang , Chao Hu

In inverse problems, distribution-free uncertainty quantification (UQ) aims to obtain error bars with coverage guarantees that are independent of any prior assumptions about the data distribution. In the context of mass mapping,…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-26 Hubert Leterme , Jalal Fadili , Jean-Luc Starck

Inverse problems play a key role in modern image/signal processing methods. However, since they are generally ill-conditioned or ill-posed due to lack of observations, their solutions may have significant intrinsic uncertainty. Analysing…

Signal Processing · Electrical Eng. & Systems 2019-09-09 Xiaohao Cai , Marcelo Pereyra , Jason D. McEwen

Quantitative susceptibility mapping (QSM) has been increasingly applied in longitudinal studies of neurodegenerative diseases and aging to assess temporal alterations in brain iron and myelin. The accuracy of such investigations depends on…

Quantitative Methods · Quantitative Biology 2026-05-05 Jiye Kim , Hwihun Jeong , Taechang Kim , Eunseon Jeong , Jinhee Jang , Yangsean Choi , Jongho Lee

Uncertainty quantification (UQ) plays a pivotal role in reduction of uncertainties during both optimization and decision making processes. It can be applied to solve a variety of real-world applications in science and engineering. Bayesian…

Quantitative magnetic resonance imaging (qMRI) offers tissue-specific physical parameters with significant potential for neuroscience research and clinical practice. However, lengthy scan times for 3D multiparametric qMRI acquisition limit…

Computer Vision and Pattern Recognition · Computer Science 2024-10-03 Guoyan Lao , Ruimin Feng , Haikun Qi , Zhenfeng Lv , Qiangqiang Liu , Chunlei Liu , Yuyao Zhang , Hongjiang Wei

Uncertainty quantification (UQ) has increasing importance in building robust high-performance and generalizable materials property prediction models. It can also be used in active learning to train better models by focusing on getting new…

Materials Science · Physics 2022-11-14 Daniel Varivoda , Rongzhi Dong , Sadman Sadeed Omee , Jianjun Hu

Quantitative MRI (qMRI) is becoming increasingly important for research and clinical applications, however, state-of-the-art reconstruction methods for qMRI are computationally prohibitive. We propose a temporal multiscale approach to…

Optimization and Control · Mathematics 2021-03-31 Samuel Cortinhas , Mohammad Golbabaee , Matthias J. Ehrhardt

Next-generation radio interferometers like the Square Kilometer Array have the potential to unlock scientific discoveries thanks to their unprecedented angular resolution and sensitivity. One key to unlocking their potential resides in…

Instrumentation and Methods for Astrophysics · Physics 2024-08-01 Tobías I. Liaudat , Matthijs Mars , Matthew A. Price , Marcelo Pereyra , Marta M. Betcke , Jason D. McEwen

Purpose: To develop a self-supervised scan-specific deep learning framework for reconstructing accelerated multiparametric quantitative MRI (qMRI). Methods: We propose REFINE-MORE (REference-Free Implicit NEural representation with MOdel…

Medical Physics · Physics 2025-08-05 Ruimin Feng , Albert Jang , Xingxin He , Fang Liu

In imaging inverse problems, one seeks to recover an image from missing/corrupted measurements. Because such problems are ill-posed, there is great motivation to quantify the uncertainty induced by the measurement-and-recovery process.…

Computer Vision and Pattern Recognition · Computer Science 2024-07-15 Jeffrey Wen , Rizwan Ahmad , Philip Schniter

Tomographic reconstruction, despite its revolutionary impact on a wide range of applications, suffers from its ill-posed nature in that there is no unique solution because of limited and noisy measurements. Therefore, in the absence of…

Applications · Statistics 2023-04-10 Agnimitra Dasgupta , Carlo Graziani , Zichao Wendy Di

In the last years, the design of image reconstruction methods in the field of quantitative Magnetic Resonance Imaging (qMRI) has experienced a paradigm shift. Often, when dealing with (quantitative) MR image reconstruction problems, one is…

Optimization and Control · Mathematics 2024-03-01 Andreas Kofler , Felix Frederik Zimmermann , Kostas Papafitsoros

This study investigates whether Physically Recurrent Neural Networks (PRNNs), a recent surrogate model for heterogeneous materials, trained on a micromodel with fixed material parameters, can maintain accuracy for varying material…

Disordered Systems and Neural Networks · Physics 2025-04-17 N. Kovács , I. B. C. M. Rocha , F. P. van der Meer , C. Furtado , P. P. Camanho

Quantitative susceptibility mapping (QSM) utilizes MRI signal phase to estimate local tissue susceptibility, which has been shown useful to provide novel image contrast and as biomarkers of abnormal tissue. QSM requires addressing a…

Medical Physics · Physics 2019-06-03 Juan Liu , Kevin M. Koch

Quantitative phase imaging (QPI) is an emerging label-free technique that produces images containing morphological and dynamical information without contrast agents. Unfortunately, the phase is wrapped in most imaging system. Phase…

Image and Video Processing · Electrical Eng. & Systems 2021-09-01 Fangshu Yang , Thanh-an Pham , Nathalie Brandenberg , Matthias P. Lutolf , Jianwei Ma , Michael Unser

In principle, deep learning models trained on medical time-series, including wearable photoplethysmography (PPG) sensor data, can provide a means to continuously monitor physiological parameters outside of clinical settings. However, there…

The Best Estimate plus Uncertainty (BEPU) approach for nuclear systems modeling and simulation requires that the prediction uncertainty must be quantified in order to prove that the investigated design stays within acceptance criteria. A…

Computation · Statistics 2023-03-24 Ziyu Xie , Farah Alsafadi , Xu Wu