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Uncertainty-quantification methods are applied to estimate the confidence of deep-neural-networks classifiers over their predictions. However, most widely used methods are known to be overconfident. We address this problem by developing an…

Machine Learning · Computer Science 2023-05-19 Luigi Sbailò , Luca M. Ghiringhelli

We develop a new approach for quantifying uncertainty in finite populations, by using design distributions to calibrate sensitivity parameters in finite population identified sets. This yields uncertainty intervals that can be interpreted…

Econometrics · Economics 2026-05-12 Brendan Kline , Matthew A. Masten

We study the empirical likelihood approach to construct confidence intervals for the optimal value and the optimality gap of a given solution, henceforth quantify the statistical uncertainty of sample average approximation, for optimization…

Methodology · Statistics 2016-10-25 Henry Lam , Enlu Zhou

Aleatoric uncertainty captures the inherent randomness of the data, such as measurement noise. In Bayesian regression, we often use a Gaussian observation model, where we control the level of aleatoric uncertainty with a noise variance…

Machine Learning · Computer Science 2022-03-31 Sanyam Kapoor , Wesley J. Maddox , Pavel Izmailov , Andrew Gordon Wilson

Automated grading systems can efficiently score short-answer responses, yet they often fail to indicate when a grading decision is uncertain or potentially contentious. We introduce semantic entropy, a measure of variability across multiple…

Artificial Intelligence · Computer Science 2025-08-07 Karrtik Iyer , Manikandan Ravikiran , Prasanna Pendse , Shayan Mohanty

We investigate the problem of reliably assessing group fairness when labeled examples are few but unlabeled examples are plentiful. We propose a general Bayesian framework that can augment labeled data with unlabeled data to produce more…

Machine Learning · Statistics 2020-10-21 Disi Ji , Padhraic Smyth , Mark Steyvers

Uncertainty quantification (UQ) is crucial in machine learning, yet most (axiomatic) studies of uncertainty measures focus on classification, leaving a gap in regression settings with limited formal justification and evaluations. In this…

Machine Learning · Computer Science 2025-05-19 Christopher Bülte , Yusuf Sale , Timo Löhr , Paul Hofman , Gitta Kutyniok , Eyke Hüllermeier

Human ratings have become a crucial resource for training and evaluating machine learning systems. However, traditional elicitation methods for absolute and comparative rating suffer from issues with consistency and often do not distinguish…

Human-Computer Interaction · Computer Science 2021-08-05 Quanze Chen , Daniel S. Weld , Amy X. Zhang

Annotators exhibit disagreement during data labeling, which can be termed as annotator label uncertainty. Annotator label uncertainty manifests in variations of labeling quality. Training with a single low-quality annotation per sample…

Computer Vision and Pattern Recognition · Computer Science 2024-03-18 Chen Zhou , Mohit Prabhushankar , Ghassan AlRegib

Annotating data via crowdsourcing is time-consuming and expensive. Due to these costs, dataset creators often have each annotator label only a small subset of the data. This leads to sparse datasets with examples that are marked by few…

Computation and Language · Computer Science 2023-10-06 London Lowmanstone , Ruyuan Wan , Risako Owan , Jaehyung Kim , Dongyeop Kang

Ordinal classification problems, where labels exhibit a natural order, are prevalent in high-stakes fields such as medicine and finance. Accurate uncertainty quantification, including the decomposition into aleatoric (inherent variability)…

Machine Learning · Computer Science 2025-07-02 Stefan Haas , Eyke Hüllermeier

When annotators disagree on a label, the disagreement itself carries signal -- and the number of annotators needed to capture it depends on the evaluation metric. We fine-tune NLI models on label distributions subsampled from ChaosNLI, a…

Computation and Language · Computer Science 2026-05-29 Guneet Kohli

Data classification, the process of analyzing data and organizing it into categories, is a fundamental computing problem of natural and artificial information processing systems. Ideally, the performance of classifier models would be…

Machine Learning · Computer Science 2022-06-07 Claus Metzner , Achim Schilling , Maximilian Traxdorf , Konstantin Tziridis , Holger Schulze , Patrick Krauss

Methods and applications are inextricably linked in science, and in particular in the domain of text-as-data. In this paper, we examine one such text-as-data application, an established economic index that measures economic policy…

Computation and Language · Computer Science 2020-10-12 Katherine A. Keith , Christoph Teichmann , Brendan O'Connor , Edgar Meij

Aleatoric uncertainty quantification seeks for distributional knowledge of random responses, which is important for reliability analysis and robustness improvement in machine learning applications. Previous research on aleatoric uncertainty…

Machine Learning · Computer Science 2022-06-10 Ziyi Huang , Henry Lam , Haofeng Zhang

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

In this paper, we present a formal quantification of epistemic uncertainty induced by numerical solutions of ordinary and partial differential equation models. Numerical solutions of differential equations contain inherent uncertainties due…

The paper presents a construction of a quantitative measure of variability for parameter estimates in the data fitting problem under interval uncertainty. It shows the degree of variability and ambiguity of the estimate, and the need for…

Numerical Analysis · Mathematics 2020-03-12 Sergey P. Shary

This paper introduces a novel uncertainty quantification framework for regression models where the response takes values in a separable metric space, and the predictors are in a Euclidean space. The proposed algorithms can efficiently…

Statistics Theory · Mathematics 2024-05-09 Gábor Lugosi , Marcos Matabuena

Supervised machine learning assumes that labeled data provide accurate measurements of the concepts models are meant to learn. Yet in practice, human labeling introduces systematic variation arising from ambiguous items, divergent…

Methodology · Statistics 2026-04-10 Robert Chew , Stephanie Eckman , Christoph Kern , Frauke Kreuter