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Deep learning-based image reconstruction approaches have demonstrated impressive empirical performance in many imaging modalities. These approaches usually require a large amount of high-quality paired training data, which is often not…

Image and Video Processing · Electrical Eng. & Systems 2022-09-21 Riccardo Barbano , Zeljko Kereta , Andreas Hauptmann , Simon R. Arridge , Bangti Jin

Over the past decades, numerous Image Quality Assessment (IQA) models have emerged, aiming to predict the perceptual quality of images. However, individual models are often biased toward certain types of image content or distortions,…

Computer Vision and Pattern Recognition · Computer Science 2026-05-29 Zhongling Wang , Raymond Zhou , Shahrukh Athar , Wenbo Yang , Zhou Wang

One of the open problems in the field of forward uncertainty quantification (UQ) is the ability to form accurate assessments of uncertainty having only incomplete information about the distribution of random inputs. Another challenge is to…

Numerical Analysis · Mathematics 2020-08-25 Ling Guo , Akil Narayan , Yongle Liu , Tao Zhou

The quality of synthetically generated images (e.g. those produced by diffusion models) are often evaluated using information about image contents encoded by pretrained auxiliary models. For example, the Fr\'{e}chet Inception Distance (FID)…

Computer Vision and Pattern Recognition · Computer Science 2025-04-07 Ciaran Bench , Spencer A. Thomas

We address the problem of uncertainty quantification for the deconvolution model \(Z = X + Y\), where \(X\) and \(Y\) are nonnegative random variables and the goal is to estimate the signal's distribution of \(X \sim F_0\) supported…

Methodology · Statistics 2026-02-23 Francesco Gili , Geurt Jongbloed

Radio maps are important for environment-aware wireless communication, network planning, and radio resource optimization. However, dense radio map construction remains challenging when only a limited number of measurements are available,…

Computer Vision and Pattern Recognition · Computer Science 2026-04-08 Zhihan Zeng , Ning Wei , Muhammad Baqer Mollah , Kaihe Wang , Phee Lep Yeoh , Fei Xu , Yue Xiu , Zhongpei Zhang

Quantitative photoacoustic tomography is an emerging imaging technique aimed at estimating the distribution of optical parameters inside tissues from photoacoustic images, which are formed by combining optical information and ultrasonic…

Numerical Analysis · Mathematics 2016-06-02 Antti Hannukainen , Nuutti Hyvönen , Helle Majander , Tanja Tarvainen

In high-dimensional Bayesian statistics, various methods have been developed, including prior distributions that induce parameter sparsity to handle many parameters. Yet, these approaches often overlook the rich spectral structure of the…

Statistics Theory · Mathematics 2025-05-06 Tomoya Wakayama , Masaaki Imaizumi

Identifying and quantifying $\gamma$-emitting radionuclides, considering spectral deformation from $\gamma$-interactions in radioactive source surroundings, present a significant challenge in $\gamma$-ray spectrometry. In that context, a…

Data Analysis, Statistics and Probability · Physics 2026-04-23 Dinh Triem Phan , Jérôme Bobin , Cheick Thiam , Christophe Bobin

Automated medical image segmentation inherently involves a certain degree of uncertainty. One key factor contributing to this uncertainty is the ambiguity that can arise in determining the boundaries of a target region of interest,…

Image and Video Processing · Electrical Eng. & Systems 2023-08-28 Qingqiao Hu , Hao Wang , Jing Luo , Yunhao Luo , Zhiheng Zhangg , Jan S. Kirschke , Benedikt Wiestler , Bjoern Menze , Jianguo Zhang , Hongwei Bran Li

We present a computational framework for estimating the uncertainty in the numerical solution of linearized infinite-dimensional statistical inverse problems. We adopt the Bayesian inference formulation: given observational data and their…

Numerical Analysis · Mathematics 2013-08-07 Tan Bui-Thanh , Omar Ghattas , James Martin , Georg Stadler

In order to cope with the increased data volumes generated by modern radio interferometers such as LOFAR (Low Frequency Array) or SKA (Square Kilometre Array), fast and efficient calibration algorithms are essential. Traditional radio…

Instrumentation and Methods for Astrophysics · Physics 2016-11-15 Sarod Yatawatta

With applications ranging from metabolomics to histopathology, quantitative phase microscopy (QPM) is a powerful label-free imaging modality. Despite significant advances in fast multiplexed imaging sensors and deep-learning-based inverse…

This paper explores uncertainty quantification (UQ) as an indicator of the trustworthiness of automated deep-learning (DL) tools in the context of white matter lesion (WML) segmentation from magnetic resonance imaging (MRI) scans of…

This paper introduces CUQIpy, a versatile open-source Python package for computational uncertainty quantification (UQ) in inverse problems, presented as Part I of a two-part series. CUQIpy employs a Bayesian framework, integrating prior…

The advent of large aperture arrays, such as the ones currently under construction for the SKA project, allows for observing the Universe in the radio-spectrum at unprecedented resolution and sensitivity. To process the enormous amounts of…

Instrumentation and Methods for Astrophysics · Physics 2025-07-31 S. Wang , S. Mignot , S. Prunet , L. Di Mascolo , M. Spinelli , A. Ferrari

Uncertainty quantification has been a core of the statistical machine learning, but its computational bottleneck has been a serious challenge for both Bayesians and frequentists. We propose a model-based framework in quantifying…

Machine Learning · Computer Science 2019-06-04 Minsuk Shin , Young Lee , Jun S. Liu

Accurate image registration is essential in many medical imaging applications, yet most deep registration networks provide little indication of when or where their predictions are unreliable. Existing uncertainty estimation approaches, such…

Computer Vision and Pattern Recognition · Computer Science 2026-02-03 Lin Tian , Xiaoling Hu , Juan Eugenio Iglesias

Data dimensionality reduction in radio interferometry can provide savings of computational resources for image reconstruction through reduced memory footprints and lighter computations per iteration, which is important for the scalability…

Instrumentation and Methods for Astrophysics · Physics 2017-05-03 S. Vijay Kartik , Rafael E. Carrillo , Jean-Philippe Thiran , Yves Wiaux

The reliability of the mercury spallation target is mission-critical for the neutron science program of the spallation neutron source at the Oak Ridge National Laboratory. We present an inverse uncertainty quantification (UQ) study using…

Accelerator Physics · Physics 2022-07-07 Majdi I. Radaideh , Lianshan Lin , Hao Jiang , Sarah Cousineau