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In ill-posed imaging inverse problems, uncertainty quantification remains a fundamental challenge, especially in safety-critical applications. Recently, conformal prediction has been used to quantify the uncertainty that the inverse problem…

Computer Vision and Pattern Recognition · Computer Science 2025-11-25 Jeffrey Wen , Rizwan Ahmad , Philip Schniter

Most image restoration problems are ill-conditioned or ill-posed and hence involve significant uncertainty. Quantifying this uncertainty is crucial for reliably interpreting experimental results, particularly when reconstructed images…

Computer Vision and Pattern Recognition · Computer Science 2025-02-10 Jasper M. Everink , Bernardin Tamo Amougou , Marcelo Pereyra

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

In safety-critical applications like medical diagnosis, certainty associated with a model's prediction is just as important as its accuracy. Consequently, uncertainty estimation and reduction play a crucial role. Uncertainty in predictions…

Image and Video Processing · Electrical Eng. & Systems 2023-09-12 Abhishek Singh Sambyal , Narayanan C. Krishnan , Deepti R. Bathula

Scientific imaging problems are often severely ill-posed, and hence have significant intrinsic uncertainty. Accurately quantifying the uncertainty in the solutions to such problems is therefore critical for the rigorous interpretation of…

Image and Video Processing · Electrical Eng. & Systems 2024-10-22 Julian Tachella , Marcelo Pereyra

Uncertainty quantification plays an important role in achieving trustworthy and reliable learning-based computational imaging. Recent advances in generative modeling and Bayesian neural networks have enabled the development of…

Image and Video Processing · Electrical Eng. & Systems 2025-10-07 Canberk Ekmekci , Mujdat Cetin

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

Inverse problems are ubiquitous in modern scientific studies and involve recovering an underlying signal from noisy observations often transformed by a measurement operator. These problems are frequently ill-posed, particularly in imaging,…

Methodology · Statistics 2026-05-19 Henry J. Aldridge , Tobías I. Liaudat , Marcelo Pereyra , Jason D. McEwen

Computational imaging plays a pivotal role in determining hidden information from sparse measurements. A robust inverse solver is crucial to fully characterize the uncertainty induced by these measurements, as it allows for the estimation…

Computer Vision and Pattern Recognition · Computer Science 2023-11-17 Sirui Bi , Victor Fung , Jiaxin Zhang

Image restoration problems are often ill-posed, leading to significant uncertainty in reconstructed images. Accurately quantifying this uncertainty is essential for the reliable interpretation of reconstructed images. However, image…

Computer Vision and Pattern Recognition · Computer Science 2025-02-27 Bernardin Tamo Amougou , Marcelo Pereyra , Barbara Pascal

Computational image reconstruction algorithms generally produce a single image without any measure of uncertainty or confidence. Regularized Maximum Likelihood (RML) and feed-forward deep learning approaches for inverse problems typically…

Machine Learning · Computer Science 2020-12-18 He Sun , Katherine L. Bouman

While deep learning offers tremendous promise for scientific and medical imaging, any failures and hallucinations (predictions that do not coincide with reality) are hard to pinpoint and can have serious downstream consequences. Uncertainty…

Image and Video Processing · Electrical Eng. & Systems 2026-05-26 Cassandra Tong Ye , Shamus Li , Tyler King , Kristina Monakhova

Predicting not only the target but also an accurate measure of uncertainty is important for many machine learning applications and in particular safety-critical ones. In this work we study the calibration of uncertainty prediction for…

Machine Learning · Computer Science 2020-02-04 Dan Levi , Liran Gispan , Niv Giladi , Ethan Fetaya

Uncertainty estimation is critical for numerous applications of deep neural networks and draws growing attention from researchers. Here, we demonstrate an uncertainty quantification approach for deep neural networks used in inverse problems…

Computer Vision and Pattern Recognition · Computer Science 2023-12-15 Luzhe Huang , Jianing Li , Xiaofu Ding , Yijie Zhang , Hanlong Chen , Aydogan Ozcan

Magnetic Resonance Imaging (MRI) offers unparalleled soft-tissue contrast but is fundamentally limited by long acquisition times. While deep learning-based accelerated MRI can dramatically shorten scan times, the reconstruction from…

Image and Video Processing · Electrical Eng. & Systems 2025-08-22 Paul Fischer , Jan Nikolas Morshuis , Thomas Küstner , Christian Baumgartner

We develop a generative model-based approach to Bayesian inverse problems, such as image reconstruction from noisy and incomplete images. Our framework addresses two common challenges of Bayesian reconstructions: 1) It makes use of complex,…

Machine Learning · Statistics 2019-10-24 Vanessa Böhm , François Lanusse , Uroš Seljak

The reconstruction of an unknown quantity from noisy measurements is a mathematical problem relevant in most applied sciences, for example, in medical imaging, radar inverse scattering, or astronomy. This underlying mathematical problem is…

Optimization and Control · Mathematics 2025-10-14 Nina M. Gottschling , David Iagaru , Jakob Gawlikowski , Ioannis Sgouralis

Forecasting surgical instrument trajectories and predicting the next surgical action recently started to attract attention from the research community. Both these tasks are crucial for automation and assistance in endoscopy surgery. Given…

Computer Vision and Pattern Recognition · Computer Science 2025-03-13 Sara Sangalli , Gary Sarwin , Ertunc Erdil , Alessandro Carretta , Victor Staartjes , Carlo Serra , Ender Konukoglu

Machine learning methods are increasingly widely used in high-risk settings such as healthcare, transportation, and finance. In these settings, it is important that a model produces calibrated uncertainty to reflect its own confidence and…

Artificial Intelligence · Computer Science 2022-09-09 Sophia Sun

Accurate sensor calibration is crucial for autonomous systems, yet its uncertainty quantification remains underexplored. We present the first approach to integrate uncertainty awareness into online extrinsic calibration, combining Monte…

Computer Vision and Pattern Recognition · Computer Science 2025-04-28 Mathieu Cocheteux , Julien Moreau , Franck Davoine
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