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Maps have long been been used to visualise estimates of spatial variables, in particular disease burden and risk. Predictions made using a geostatistical model have uncertainty that typically varies spatially. However, this uncertainty is…

Applications · Statistics 2020-05-26 Aimee R Taylor , James A Watson , Caroline O Buckee

How to extract useful insights from data is always a challenge, especially if the data is multidimensional. Often, the data can be organized according to certain hierarchical structure that are stemmed either from data collection process or…

Applications · Statistics 2016-04-21 Kun Yang , Wing Hung Wong

As data-driven intelligent systems advance, the need for reliable and transparent decision-making mechanisms has become increasingly important. Therefore, it is essential to integrate uncertainty quantification and model explainability…

Machine Learning · Computer Science 2023-04-13 Nijat Mehdiyev , Maxim Majlatow , Peter Fettke

Uncertainty quantification for Particle Image Velocimetry (PIV) is critical for comparing flow fields with Computational Fluid Dynamics (CFD) results, and model design and validation. However, PIV features a complex measurement chain with…

Fluid Dynamics · Physics 2021-07-07 Lalit K. Rajendran , Sayantan Bhattacharya , Sally P. M. Bane , Pavlos P. Vlachos

Despite the remarkable progress in generative modelling, current diffusion models lack a quantitative approach to assess image quality. To address this limitation, we propose to estimate the pixel-wise aleatoric uncertainty during the…

Computer Vision and Pattern Recognition · Computer Science 2024-12-03 Michele De Vita , Vasileios Belagiannis

In many applications, the observations can be represented as a signal defined over the vertices of a graph. The analysis of such signals requires the extension of standard signal processing tools. In this work, first, we provide a class of…

Discrete Mathematics · Computer Science 2016-08-24 Mikhail Tsitsvero , Sergio Barbarossa , Paolo Di Lorenzo

Though remarkable progress has been achieved in various vision tasks, deep neural networks still suffer obvious performance degradation when tested in out-of-distribution scenarios. We argue that the feature statistics (mean and standard…

Computer Vision and Pattern Recognition · Computer Science 2022-04-25 Xiaotong Li , Yongxing Dai , Yixiao Ge , Jun Liu , Ying Shan , Ling-Yu Duan

Graphical models have demonstrated their exceptional capabilities across numerous applications. However, their performance, confidence, and trustworthiness are often limited by the inherent randomness in data generation and the lack of…

Machine Learning · Computer Science 2026-04-15 Chao Chen , Chenghua Guo , Rui Xu , Jiujiu Chen , Xiangwen Liao , Xi Zhang , Sihong Xie , Hui Xiong , Philip Yu

Predicting particle trajectories with neural networks (NNs) has substantially enhanced many scientific and engineering domains. However, effectively quantifying and visualizing the inherent uncertainty in predictions remains challenging.…

Machine Learning · Computer Science 2025-08-20 Jixian Li , Timbwaoga Aime Judicael Ouermi , Mengjiao Han , Chris R. Johnson

In meta-analysis with continuous outcomes, the use of effect sizes based on the means is the most common. It is often found, however, that only the quantile summary measures are reported in some studies, and in certain scenarios, a…

Methodology · Statistics 2024-11-19 Alysha M De Livera , Luke Prendergast , Udara Kumaranathunga

The literature describes many visualization techniques for different types of data, tasks, and application contexts, and new techniques are proposed on a regular basis. Visualization surveys try to capture the immense space of techniques…

Human-Computer Interaction · Computer Science 2025-07-23 Abdulhaq Adetunji Salako , Christian Tominski

Visualizations are frequently used as a means to understand trends and gather insights from datasets, but often take a long time to generate. In this paper, we focus on the problem of rapidly generating approximate visualizations while…

Databases · Computer Science 2014-12-10 Albert Kim , Eric Blais , Aditya Parameswaran , Piotr Indyk , Sam Madden , Ronitt Rubinfeld

The goal of this research is to derive an approach to assess uncertainty in an arbitrary volume conditioned by sampling data, without using geostatistical simulation. We have accomplished this goal by deriving an numerical tool suitable for…

Methodology · Statistics 2019-07-22 Alvaro I. Riquelme , Julian M. Ortiz

In statistical inference, uncertainty is unknown and all models are wrong. That is to say, a person who makes a statistical model and a prior distribution is simultaneously aware that both are fictional candidates. To study such cases,…

Machine Learning · Computer Science 2023-02-13 Sumio Watanabe

Data visualization is the process by which data of any size or dimensionality is processed to produce an understandable set of data in a lower dimensionality, allowing it to be manipulated and understood more easily by people. The goal of…

Graphics · Computer Science 2021-07-06 Alexander Kiefer , Md. Khaledur Rahman

Morse complexes are gradient-based topological descriptors with close connections to Morse theory. They are widely applicable in scientific visualization as they serve as important abstractions for gaining insights into the topology of…

Graphics · Computer Science 2019-12-16 Tushar Athawale , Dan Maljovec , Chris R. Johnson , Valerio Pascucci , Bei Wang

We introduce a novel framework for AI-generated image detection through epistemic uncertainty, aiming to address critical security concerns in the era of generative models. Our key insight stems from the observation that distributional…

Computer Vision and Pattern Recognition · Computer Science 2025-11-04 Jun Nie , Yonggang Zhang , Tongliang Liu , Yiu-ming Cheung , Bo Han , Xinmei Tian

Image-to-image regression is an important learning task, used frequently in biological imaging. Current algorithms, however, do not generally offer statistical guarantees that protect against a model's mistakes and hallucinations. To…

Many important computer vision applications are naturally formulated as regression problems. Within medical imaging, accurate regression models have the potential to automate various tasks, helping to lower costs and improve patient…

Machine Learning · Computer Science 2023-11-08 Fredrik K. Gustafsson , Martin Danelljan , Thomas B. Schön

When we use simulation to evaluate the performance of a stochastic system, the simulation often contains input distributions estimated from real-world data; therefore, there is both simulation and input uncertainty in the performance…

Methodology · Statistics 2020-11-10 Wei Xie , Barry L. Nelson , Russell R. Barton