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We address the problem of uncertainty quantification and propose measures of total, aleatoric, and epistemic uncertainty based on a known decomposition of (strictly) proper scoring rules, a specific type of loss function, into a divergence…

Machine Learning · Computer Science 2025-05-29 Paul Hofman , Yusuf Sale , Eyke Hüllermeier

Uncertainty Quantification aims to determine when the prediction from a Machine Learning model is likely to be wrong. Computer Vision research has explored methods for determining epistemic uncertainty (also known as model uncertainty),…

Machine Learning · Computer Science 2024-03-15 Prithviraj Manivannan , Ivo Pascal de Jong , Matias Valdenegro-Toro , Andreea Ioana Sburlea

Computational models of atmospheric composition are not always physically consistent. For example, not all models respect fundamental conservation laws such as conservation of atoms in an interconnected chemical system. In well performing…

Atmospheric and Oceanic Physics · Physics 2024-08-30 Patrick Obin Sturm , Sam J. Silva

Research in neural networks in the field of computer vision has achieved remarkable accuracy for point estimation. However, the uncertainty in the estimation is rarely addressed. Uncertainty quantification accompanied by point estimation…

Computer Vision and Pattern Recognition · Computer Science 2020-04-23 Min-hwan Oh , Peder A. Olsen , Karthikeyan Natesan Ramamurthy

This paper addresses the critical environmental challenge of estimating ambient Nitrogen Dioxide (NO$_2$) concentrations, a key issue in public health and environmental policy. Existing methods for satellite-based air pollution estimation…

Computer Vision and Pattern Recognition · Computer Science 2025-04-25 Ruben Gonzalez Avilés , Linus Scheibenreif , Damian Borth

Much of uncertainty quantification to date has focused on determining the effect of variables modeled probabilistically, and with a known distribution, on some physical or engineering system. We develop methods to obtain information on the…

Numerical Analysis · Mathematics 2015-03-19 Kamaljit Chowdhary , Paul Dupuis

This research leverages Conformal Prediction (CP) in the form of Conformal Predictive Systems (CPS) to accurately estimate uncertainty in a suite of machine learning (ML)-based radio metric models [1] as well as in a 2-D map-based ML path…

Machine Learning · Computer Science 2025-01-14 Alexis Bose , Jonathan Ethier , Ryan G. Dempsey , Yifeng Qiu

Advances in architectural design, data availability, and compute have driven remarkable progress in semantic segmentation. Yet, these models often rely on relaxed Bayesian assumptions, omitting critical uncertainty information needed for…

Computer Vision and Pattern Recognition · Computer Science 2026-02-19 M. M. A. Valiuddin , R. J. G. van Sloun , C. G. A. Viviers , P. H. N. de With , F. van der Sommen

Estimating associations between spatial covariates and responses - rather than merely predicting responses - is central to environmental science, epidemiology, and economics. For instance, public health officials might be interested in…

Machine Learning · Statistics 2025-11-11 David R. Burt , Renato Berlinghieri , Stephen Bates , Tamara Broderick

There has been a recent emergence of sampling-based techniques for estimating epistemic uncertainty in deep neural networks. While these methods can be applied to classification or semantic segmentation tasks by simply averaging samples,…

Computer Vision and Pattern Recognition · Computer Science 2019-03-08 Dimity Miller , Feras Dayoub , Michael Milford , Niko Sünderhauf

Data-driven modeling is useful for reconstructing nonlinear dynamical systems when the underlying process is unknown or too expensive to compute. Having reliable uncertainty assessment of the forecast enables tools to be deployed to predict…

Methodology · Statistics 2023-11-01 Mengyang Gu , Yizi Lin , Victor Chang Lee , Diana Qiu

The determination of the mean density of the Universe is a long standing problem of modern cosmology. The number density evolution of x-ray clusters at a fixed temperature is a powerful cosmological test, new in nature (Oukbir and…

Astrophysics · Physics 2009-10-30 Alain Blanchard , James G. Bartlett , Rachida Sadat

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

Reliable quantification of uncertainty in Mobile Laser Scanning (MLS) point clouds is essential for ensuring the accuracy and credibility of downstream applications such as 3D mapping, modeling, and change analysis. Traditional backward…

Computer Vision and Pattern Recognition · Computer Science 2025-10-30 Ziyang Xu , Olaf Wysocki , Christoph Holst

Computationally-guided material discovery is being increasingly employed using a descriptor-based screening through the calculation of a few properties of interest. A precise understanding of the uncertainty associated with first principles…

Materials Science · Physics 2016-08-22 Zeeshan Ahmad , Venkatasubramanian Viswanathan

Diffusion models indirectly estimate the probability density over a data space, which can be used to study its structure. In this work, we show that geodesics can be computed in diffusion latent space, where the norm induced by the…

Computer Vision and Pattern Recognition · Computer Science 2025-05-08 Qingtao Yu , Jaskirat Singh , Zhaoyuan Yang , Peter Henry Tu , Jing Zhang , Hongdong Li , Richard Hartley , Dylan Campbell

The correlation between the plasma density measured in space and the surface potential of an electrically conducting satellite body with biased electric field detectors has been recognized and used to provide density proxies. However, for…

Space Physics · Physics 2022-03-09 Forrest Mozer , Stuart Bale , Paul Kellogg , Davin Larson , Roberto Levi , Orlando Romeo

The first thermospheric neutral mass density model with robust and reliable uncertainty estimates is developed based on the SET HASDM density database. This database, created by Space Environment Technologies (SET), contains 20 years of…

Machine Learning · Computer Science 2021-09-17 Richard J. Licata , Piyush M. Mehta , W. Kent Tobiska , S. Huzurbazar

Quantifying uncertainty in a model's predictions is important as it enables the safety of an AI system to be increased by acting on the model's output in an informed manner. This is crucial for applications where the cost of an error is…

Computer Vision and Pattern Recognition · Computer Science 2021-05-31 Aria Khoshsirat

Spacecraft entering Mars require precise navigation algorithms capable of accurately estimating the vehicle's position and velocity in dynamic and uncertain atmospheric environments. Discrepancies between the true Martian atmospheric…

Machine Learning · Computer Science 2024-05-22 Felipe Giraldo-Grueso , Andrey A. Popov , Renato Zanetti