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Partial differential equations (PDEs) are fundamental for theoretically describing numerous physical processes that are based on some input fields in spatial configurations. Understanding the physical process, in general, requires…

Numerical Analysis · Mathematics 2020-10-16 Mahadevan Ganesh , Stuart C Hawkins , Alexandre Tartakovsky , Ramakrishna Tipireddy

The advent of fabrication techniques like additive manufacturing has focused attention on the considerable variability of material response due to defects and other micro-structural aspects. This variability motivates the development of an…

Applied Physics · Physics 2018-02-06 F. Rizzi , R. E. Jones , J. A. Templeton , J. T. Ostien , B. L. Boyce

Medical image segmentation supports clinical workflows by precisely delineating anatomical structures and lesions. However, medical image datasets medical image datasets suffer from acquisition noise and annotation ambiguity, causing…

Artificial Intelligence · Computer Science 2026-04-14 Ruiyang Li , Fang Liu , Licheng Jiao , Xinglin Xie , Jiayao Hao , Shuo Li , Xu Liu , Jingyi Yang , Lingling Li , Puhua Chen , Wenping Ma

Recent research in machine learning has given rise to a flourishing literature on the quantification and decomposition of model uncertainty. This information can be very useful during interactions with the learner, such as in active…

Machine Learning · Computer Science 2024-09-13 Arthur Hoarau , Vincent Lemaire

In the semantic segmentation of street scenes the reliability of the prediction and therefore uncertainty measures are of highest interest. We present a method that generates for each input image a hierarchy of nested crops around the image…

Computer Vision and Pattern Recognition · Computer Science 2019-04-10 Matthias Rottmann , Marius Schubert

As Large Language Models (LLMs) are increasingly deployed in real-world applications, reliable uncertainty quantification (UQ) becomes critical for safe and effective use. Most existing UQ approaches for language models aim to produce a…

Computation and Language · Computer Science 2026-04-14 Maiya Goloburda , Roman Vashurin , Fedor Chernogorsky , Nurkhan Laiyk , Daniil Orel , Preslav Nakov , Maxim Panov

Deep learning-based object pose estimators are often unreliable and overconfident especially when the input image is outside the training domain, for instance, with sim2real transfer. Efficient and robust uncertainty quantification (UQ) in…

Uncertainty Quantification (UQ) is an essential step in computational model validation because assessment of the model accuracy requires a concrete, quantifiable measure of uncertainty in the model predictions. The concept of UQ in the…

Applications · Statistics 2023-03-24 Xu Wu , Ziyu Xie , Farah Alsafadi , Tomasz Kozlowski

Sensitivity analysis (SA) and uncertainty quantification (UQ) are used to assess and improve engineering models. In this study, various methods of SA and UQ are described and applied in theoretical and practical examples for use in energy…

Applications · Statistics 2022-07-07 Majdi I. Radaideh , Mohammad I. Radaideh

Quantifying uncertainties for machine learning models is a critical step to reduce human verification effort by detecting predictions with low confidence. This paper proposes a method for uncertainty quantification (UQ) of table structure…

Computer Vision and Pattern Recognition · Computer Science 2024-07-03 Kehinde Ajayi , Leizhen Zhang , Yi He , Jian Wu

The integration of photovoltaic (PV) generation and electric vehicle (EV) charging introduces significant uncertainty in electricity consumption patterns, particularly at the distribution level. This paper presents a comparative study for…

Systems and Control · Electrical Eng. & Systems 2025-12-19 Aiko Fias , Md Umar Hashmi , Geert Deconinck

Recent advances in deep learning have led to its widespread adoption across diverse domains, including medical imaging. This progress is driven by increasingly sophisticated model architectures, such as ResNets, Vision Transformers, and…

Computer Vision and Pattern Recognition · Computer Science 2026-04-24 Akshat Dubey , Aleksandar Anžel , Bahar İlgen , Georges Hattab

In this work, we examine the effectiveness of an uncertainty quantification framework known as Evidential Deep Learning applied in the context of biomedical image segmentation. This class of models involves assigning Dirichlet distributions…

Image and Video Processing · Electrical Eng. & Systems 2025-04-24 Hai Siong Tan , Kuancheng Wang , Rafe Mcbeth

Learning a medical image segmentation model is an inherently ambiguous task, as uncertainties exist in both images (noise) and manual annotations (human errors and bias) used for model training. To build a trustworthy image segmentation…

Image and Video Processing · Electrical Eng. & Systems 2023-08-17 Xinyu Bai , Wenjia Bai

Medical image segmentation is inherently uncertain. For a given image, there may be multiple plausible segmentation hypotheses, and physicians will often disagree on lesion and organ boundaries. To be suited to real-world application,…

Computer Vision and Pattern Recognition · Computer Science 2021-09-28 João Lourenço Silva , Arlindo L. Oliveira

Inverse Uncertainty Quantification (UQ), or Bayesian calibration, is the process to quantify the uncertainties of random input parameters based on experimental data. The introduction of model discrepancy term is significant because…

Applications · Statistics 2019-07-24 Xu Wu , Koroush Shirvan , Tomasz Kozlowski

Uncertainty quantification in medical images has become an essential addition to segmentation models for practical application in the real world. Although there are valuable developments in accurate uncertainty quantification methods using…

Image and Video Processing · Electrical Eng. & Systems 2023-05-02 Christiaan G. A. Viviers , Amaan M. M. Valiuddin , Peter H. N. de With , Fons van der Sommen

Uncertainty estimation in deep learning has become a leading research field in medical image analysis due to the need for safe utilisation of AI algorithms in clinical practice. Most approaches for uncertainty estimation require sampling…

Image and Video Processing · Electrical Eng. & Systems 2022-04-12 Kaisar Kushibar , Víctor Manuel Campello , Lidia Garrucho Moras , Akis Linardos , Petia Radeva , Karim Lekadir

Techniques from artificial intelligence and machine learning are increasingly employed in nuclear theory, however, the uncertainties that arise from the complex parameter manifold encoded by the neural networks are often overlooked.…

Nuclear Theory · Physics 2025-10-29 Mengyao Huang , Kyle A. Wendt , Nicolas F. Schunck , Erika M. Holmbeck

In the critical task of making generative models trustworthy and robust, methods for Uncertainty Quantification (UQ) have begun to show encouraging potential. However, many of these methods rely on rigid heuristics that fail to generalize…

Machine Learning · Computer Science 2026-02-17 Souradeep Chattopadhyay , Brendan Kennedy , Sai Munikoti , Soumik Sarkar , Karl Pazdernik