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Automated medical image segmentation, specifically using deep learning, has shown outstanding performance in semantic segmentation tasks. However, these methods rarely quantify their uncertainty, which may lead to errors in downstream…

Computer Vision and Pattern Recognition · Computer Science 2018-06-25 Zach Eaton-Rosen , Felix Bragman , Sotirios Bisdas , Sebastien Ourselin , M. Jorge Cardoso

Physics-Informed Neural Networks (PINNs) have emerged as a powerful framework for solving PDEs, yet existing uncertainty quantification (UQ) approaches for PINNs generally lack rigorous statistical guarantees. In this work, we bridge this…

Machine Learning · Computer Science 2025-09-18 Yifan Yu , Cheuk Hin Ho , Yangshuai Wang

We propose a method for the unsupervised clustering of hyperspectral images based on spatially regularized spectral clustering with ultrametric path distances. The proposed method efficiently combines data density and geometry to…

Computer Vision and Pattern Recognition · Computer Science 2020-04-13 Shukun Zhang , James M. Murphy

Mistakes/uncertainties in object detection could lead to catastrophes when deploying robots in the real world. In this paper, we measure the uncertainties of object localization to minimize this kind of risk. Uncertainties emerge upon…

Computer Vision and Pattern Recognition · Computer Science 2020-07-03 Yihui He , Jianren Wang

Uncertainty quantification (UQ) is crucial in safety-critical applications such as medical image segmentation. Total uncertainty is typically decomposed into data-related aleatoric uncertainty (AU) and model-related epistemic uncertainty…

Computer Vision and Pattern Recognition · Computer Science 2026-03-20 Jakob Lønborg Christensen , Vedrana Andersen Dahl , Morten Rieger Hannemose , Anders Bjorholm Dahl , Christian F. Baumgartner

Quantum neural networks hold promise for tackling computationally challenging tasks that are intractable for classical computers. However, their practical application is hindered by significant optimization challenges, arising from complex…

Quantum Physics · Physics 2026-04-23 Yoshiaki Kawase

Uncertainty quantification for complex deep learning models is increasingly important as these techniques see growing use in high-stakes, real-world settings. Currently, the quality of a model's uncertainty is evaluated using…

Machine Learning · Computer Science 2021-12-15 Benjamin Kompa , Jasper Snoek , Andrew Beam

In recent years, diffusion models, and more generally score-based deep generative models, have achieved remarkable success in various applications, including image and audio generation. In this paper, we view diffusion models as an implicit…

Statistics Theory · Mathematics 2026-02-12 Hyeok Kyu Kwon , Dongha Kim , Ilsang Ohn , Minwoo Chae

High angular resolution diffusion imaging data is the observed characteristic function for the local diffusion of water molecules in tissue. This data is used to infer structural information in brain imaging. Nonparametric scalar measures…

Applications · Statistics 2011-08-17 Sofia C. Olhede , Brandon Whitcher

Deterministic uncertainty quantification (UQ) in deep learning aims to estimate uncertainty with a single pass through a network by leveraging outputs from the network's feature extractor. Existing methods require that the feature extractor…

Machine Learning · Computer Science 2025-01-10 Felix Jimenez , Matthias Katzfuss

This work presents novel extensions for combining two frameworks for quantifying both aleatoric (i.e., irreducible) and epistemic (i.e., reducible) sources of uncertainties in the modeling of engineered systems. The data-consistent (DC)…

Machine Learning · Statistics 2024-03-07 Taylor Roper , Harri Hakula , Troy Butler

Accurate Quality of Service (QoS) prediction is essential for enhancing user satisfaction in web recommendation systems, yet existing prediction models often overlook feature noise, focusing predominantly on label noise. In this paper, we…

Software Engineering · Computer Science 2024-11-11 Ziliang Wang , Xiaohong Zhang , Ze Shi Li , Sheng Huang , Meng Yan

Traditional deep learning (DL) models are powerful classifiers, but many approaches do not provide uncertainties for their estimates. Uncertainty quantification (UQ) methods for DL models have received increased attention in the literature…

Machine Learning · Computer Science 2023-08-14 Daniel Ries , Joshua Michalenko , Tyler Ganter , Rashad Imad-Fayez Baiyasi , Jason Adams

Trusting the predictions of deep learning models in safety critical settings such as the medical domain is still not a viable option. Distentangled uncertainty quantification in the field of medical imaging has received little attention. In…

Image and Video Processing · Electrical Eng. & Systems 2022-11-14 Kumud Lakara , Matias Valdenegro-Toro

The H-scan approach is a matched filter methodology that aims to add information to the traditional ultrasound B-scan. The theory is based on the differences in the echoes produced by different classes of reflectors or scatterers. Matched…

Medical Physics · Physics 2020-02-14 Kevin J. Parker , Jihye Baek

We investigate the number probability density function that characterizes sub-portions of a quantum many-body system with globally conserved number of particles. We put forward a linear fitting protocol capable of mapping out the…

Quantum Gases · Physics 2023-03-15 Daniele Contessi , Alessio Recati , Matteo Rizzi

We estimate the quantum state of a light beam from results of quantum homodyne tomography noisy measurements performed on identically prepared quantum systems. We propose two Bayesian nonparametric approaches. The first approach is based on…

Statistics Theory · Mathematics 2016-10-07 Zacharie Naulet , Eric Barat

Deep neural networks (DNNs) achieve promising performance in visual recognition under the independent and identically distributed (IID) hypothesis. In contrast, the IID hypothesis is not universally guaranteed in numerous real-world…

Image and Video Processing · Electrical Eng. & Systems 2023-06-27 Shuai Wang , Zipei Yan , Daoan Zhang , Zhongsen Li , Sirui Wu , Wenxuan Chen , Rui Li

Segmentation of medical images is a fundamental task with numerous applications. While MRI, CT, and PET modalities have significantly benefited from deep learning segmentation techniques, more recent modalities, like functional ultrasound…

Image and Video Processing · Electrical Eng. & Systems 2025-07-24 Hana Sebia , Thomas Guyet , Mickaël Pereira , Marco Valdebenito , Hugues Berry , Benjamin Vidal

Distributed quantum sensing uses quantum correlations between multiple sensors to enhance the measurement of unknown parameters beyond the limits of unentangled systems. We describe a sensing scheme that uses continuous-variable…

Quantum Physics · Physics 2018-03-29 Quntao Zhuang , Zheshen Zhang , Jeffrey H. Shapiro