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Computational models support high-stakes decisions across engineering and science, and practitioners increasingly seek probabilistic predictions to quantify uncertainty in such models. Existing approaches generate predictions either by…

Computational Engineering, Finance, and Science · Computer Science 2026-04-13 Rileigh Bandy , Enrico Camporeale , Andong Hu , Thomas Berger , Rebecca Morrison

The ideas of aleatoric and epistemic uncertainty are widely used to reason about the probabilistic predictions of machine-learning models. We identify incoherence in existing discussions of these ideas and suggest this stems from the…

Machine Learning · Computer Science 2025-08-19 Freddie Bickford Smith , Jannik Kossen , Eleanor Trollope , Mark van der Wilk , Adam Foster , Tom Rainforth

We introduce $\textbf{F}$uture $\textbf{LA}$tent $\textbf{RE}$presentation Alignment ($\textbf{FLARE}$), a novel framework that integrates predictive latent world modeling into robot policy learning. By aligning features from a diffusion…

We introduce Fisher consistency in the sense of unbiasedness as a desirable property for estimators of class prior probabilities. Lack of Fisher consistency could be used as a criterion to dismiss estimators that are unlikely to deliver…

Machine Learning · Statistics 2019-07-23 Dirk Tasche

Conformal prediction methods create prediction bands with distribution-free guarantees but do not explicitly capture epistemic uncertainty, which can lead to overconfident predictions in data-sparse regions. Although recent conformal scores…

Machine Learning · Statistics 2025-06-11 Luben M. C. Cabezas , Vagner S. Santos , Thiago R. Ramos , Rafael Izbicki

Neural networks are ubiquitous in many tasks, but trusting their predictions is an open issue. Uncertainty quantification is required for many applications, and disentangled aleatoric and epistemic uncertainties are best. In this paper, we…

Machine Learning · Computer Science 2022-04-21 Matias Valdenegro-Toro , Daniel Saromo

Point-wise localization of individual fluorophores is a critical step in super-resolution microscopy and single particle tracking. Although the methods are limited by the accuracy in localizing individual flourophores, this point-wise…

Biological Physics · Physics 2017-05-08 Martin Lindén , Vladimir Ćurić , Elias Amselem , Johan Elf

Wireless federated learning (WFL) suffers from heterogeneity prevailing in the data distributions, computing powers, and channel conditions of participating devices. This paper presents a new Federated Learning with Adjusted leaRning ratE…

Signal Processing · Electrical Eng. & Systems 2024-04-24 Bingnan Xiao , Jingjing Zhang , Wei Ni , Xin Wang

This paper addresses a significant gap in explainable AI: the necessity of interpreting epistemic uncertainty in model explanations. Although current methods mainly focus on explaining predictions, with some including uncertainty, they fail…

Artificial Intelligence · Computer Science 2024-10-10 Helena Löfström , Tuwe Löfström , Johan Hallberg Szabadvary

The rapid advancement of diffusion models has significantly improved high-quality image generation, making generated content increasingly challenging to distinguish from real images and raising concerns about potential misuse. In this…

Computer Vision and Pattern Recognition · Computer Science 2025-11-04 Beilin Chu , Xuan Xu , Xin Wang , Yufei Zhang , Weike You , Linna Zhou

Flow-based latent generative models such as Stable Diffusion 3 are able to generate images with remarkable quality, even enabling photorealistic text-to-image generation. Their impressive performance suggests that these models should also…

Computer Vision and Pattern Recognition · Computer Science 2025-10-13 Julius Erbach , Dominik Narnhofer , Andreas Dombos , Bernt Schiele , Jan Eric Lenssen , Konrad Schindler

How can we draw trustworthy scientific conclusions? One criterion is that a study can be replicated by independent teams. While replication is critically important, it is arguably insufficient. If a study is biased for some reason and other…

Methodology · Statistics 2025-02-06 Yujin Jeong , Dominik Rothenhäusler

When ignorance due to the lack of knowledge, modeled as epistemic uncertainty using Dempster-Shafer structures on closed intervals, is present in the model parameters, a new uncertainty propagation method is necessary to propagate both…

Methodology · Statistics 2011-07-11 Gabriel Terejanu , Puneet Singla , Tarunraj Singh , Peter D. Scott

We present a toolbox of new techniques and concepts for the efficient forecasting of experimental sensitivities. These are applicable to a large range of scenarios in (astro-)particle physics, and based on the Fisher information formalism.…

Instrumentation and Methods for Astrophysics · Physics 2018-02-28 Thomas D. P. Edwards , Christoph Weniger

We present a sampling-free approach for computing the epistemic uncertainty of a neural network. Epistemic uncertainty is an important quantity for the deployment of deep neural networks in safety-critical applications, since it represents…

Machine Learning · Computer Science 2019-12-04 Janis Postels , Francesco Ferroni , Huseyin Coskun , Nassir Navab , Federico Tombari

Identifying and disentangling sources of predictive uncertainty is essential for trustworthy supervised learning. We argue that widely used second-order methods that disentangle aleatoric and epistemic uncertainty are fundamentally…

Machine Learning · Computer Science 2026-02-09 Sebastián Jiménez , Mira Jürgens , Willem Waegeman

In this article we consider the filtering problem associated to partially observed diffusions, with observations following a marked point process. In the model, the data form a point process with observation times that have its intensity…

Computation · Statistics 2023-11-17 Miguel Alvarez , Ajay Jasra , Hamza Ruzayqat

While fiducial inference was widely considered a big blunder by R.A. Fisher, the goal he initially set --`inferring the uncertainty of model parameters on the basis of observations' -- has been continually pursued by many statisticians. To…

Machine Learning · Statistics 2024-08-01 Faming Liang , Sehwan Kim , Yan Sun

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

The transition density of a diffusion process does not admit an explicit expression in general, which prevents the full maximum likelihood estimation (MLE) based on discretely observed sample paths. A\"{\i}t-Sahalia [J. Finance 54 (1999)…

Statistics Theory · Mathematics 2012-03-12 Jinyuan Chang , Song Xi Chen