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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

Quantifying the impact of parametric and model-form uncertainty on the predictions of stochastic models is a key challenge in many applications. Previous work has shown that the relative entropy rate is an effective tool for deriving…

Probability · Mathematics 2020-09-04 Jeremiah Birrell , Markos A. Katsoulakis , Luc Rey-Bellet

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

In biomedical image analysis, data imbalance is common across several imaging modalities. Data augmentation is one of the key solutions in addressing this limitation. Generative Adversarial Networks (GANs) are increasingly being relied upon…

Image and Video Processing · Electrical Eng. & Systems 2023-08-08 Muhammad Muneeb Saad , Mubashir Husain Rehmani , Ruairi O'Reilly

In recent years, Face Image Quality Assessment (FIQA) has become an indispensable part of the face recognition system to guarantee the stability and reliability of recognition performance in an unconstrained scenario. For this purpose, the…

Computer Vision and Pattern Recognition · Computer Science 2021-03-11 Fu-Zhao Ou , Xingyu Chen , Ruixin Zhang , Yuge Huang , Shaoxin Li , Jilin Li , Yong Li , Liujuan Cao , Yuan-Gen Wang

The vast majority of uncertainty quantification methods for deep object detectors such as variational inference are based on the network output. Here, we study gradient-based epistemic uncertainty metrics for deep object detectors to obtain…

Computer Vision and Pattern Recognition · Computer Science 2022-03-21 Tobias Riedlinger , Matthias Rottmann , Marius Schubert , Hanno Gottschalk

The attempt to solve inverse scattering problems often leads to optimization and sampling problems that require handling moderate to large amounts of partial differential equations acting as constraints. We focus here on determining…

Numerical Analysis · Mathematics 2025-04-09 Carolina Abugattas , Ana Carpio , Elena Cebrián , Gerardo Oleaga

Reconstructing 3D scenes from a single image is a fundamentally ill-posed task due to the severely under-constrained nature of the problem. Consequently, when the scene is rendered from novel camera views, existing single image to 3D…

Computer Vision and Pattern Recognition · Computer Science 2025-10-10 Sarosij Bose , Arindam Dutta , Sayak Nag , Junge Zhang , Jiachen Li , Konstantinos Karydis , Amit K. Roy Chowdhury

Deploying deep learning models in safety-critical applications remains a very challenging task, mandating the provision of assurances for the dependable operation of these models. Uncertainty quantification (UQ) methods estimate the model's…

Machine Learning · Computer Science 2024-01-23 Daniel Bethell , Simos Gerasimou , Radu Calinescu

We present a new method for image feature-extraction which is based on representing an image by a finite-dimensional vector of distances that measure how different the image is from a set of image prototypes. We use the recently introduced…

Machine Learning · Computer Science 2013-05-21 Uzi Chester , Joel Ratsaby

Deep neural networks (DNNs) have achieved tremendous success in computer vision, natural language processing, and scientific and engineering domains. However, DNNs can make unexpected, incorrect, yet overconfident predictions, leading to…

Machine Learning · Computer Science 2025-12-16 Wenchong He , Zhe Jiang , Tingsong Xiao , Zelin Xu , Yukun Li

Quality control (QC) in medical image analysis is time-consuming and laborious, leading to increased interest in automated methods. However, what is deemed suitable quality for algorithmic processing may be different from human-perceived…

Image and Video Processing · Electrical Eng. & Systems 2021-06-22 Richard Shaw , Carole H. Sudre , Sebastien Ourselin , M. Jorge Cardoso

In this work, we present methodologies for the quantification of confidence in bottom-up coarse-grained models for molecular and macromolecular systems. Coarse-graining methods have been extensively used in the past decades in order to…

Uncertainty quantification in automated image analysis is highly desired in many applications. Typically, machine learning models in classification or segmentation are only developed to provide binary answers; however, quantifying the…

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 aim to determine model parameters of a mathematical problem from given observational data. Neural networks can provide an efficient tool to solve these problems. In the context of Bayesian inverse problems, Uncertainty…

Numerical Analysis · Mathematics 2025-09-16 Andrea Tonini , Tan Bui-Thanh , Francesco Regazzoni , Luca Dede' , Alfio Quarteroni

Accurate estimation of uncertainty in deep learning is critical for deploying models in high-stakes domains such as medical diagnosis and autonomous decision-making, where overconfident predictions can lead to harmful outcomes. In practice,…

Machine Learning · Computer Science 2026-03-12 Xinran Xu , Xiuyi Fan

Recent advancements in diffusion models have significantly impacted the trajectory of generative machine learning research, with many adopting the strategy of fine-tuning pre-trained models using domain-specific text-to-image datasets.…

Computer Vision and Pattern Recognition · Computer Science 2023-12-21 Mischa Dombrowski , Hadrien Reynaud , Johanna P. Müller , Matthew Baugh , Bernhard Kainz

Increased usage of automated tools like deep learning in medical image segmentation has alleviated the bottleneck of manual contouring. This has shifted manual labour to quality assessment (QA) of automated contours which involves detecting…

Computer Vision and Pattern Recognition · Computer Science 2024-09-06 Prerak Mody , Nicolas F. Chaves-de-Plaza , Chinmay Rao , Eleftheria Astrenidou , Mischa de Ridder , Nienke Hoekstra , Klaus Hildebrandt , Marius Staring

Accurate medical image segmentation is crucial for diagnosis and analysis. However, the models without calibrated uncertainty estimates might lead to errors in downstream analysis and exhibit low levels of robustness. Estimating the…

Image and Video Processing · Electrical Eng. & Systems 2021-09-16 Yanwu Yang , Xutao Guo , Yiwei Pan , Pengcheng Shi , Haiyan Lv , Ting Ma
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