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A reliable representation of uncertainty is essential for the application of modern machine learning methods in safety-critical settings. In this regard, the use of credal sets (i.e., convex sets of probability distributions) has recently…

Machine Learning · Computer Science 2026-03-10 Paul Hofman , Timo Löhr , Maximilian Muschalik , Yusuf Sale , Eyke Hüllermeier

Decomposing predictive uncertainty into epistemic (model ignorance) and aleatoric (data ambiguity) components is central to reliable decision making, yet most methods estimate both from the same predictive distribution. Recent empirical and…

Machine Learning · Computer Science 2026-02-13 Tanmoy Mukherjee , Marius Kloft , Pierre Marquis , Zied Bouraoui

Adequate uncertainty representation and quantification have become imperative in various scientific disciplines, especially in machine learning and artificial intelligence. As an alternative to representing uncertainty via one single…

Machine Learning · Computer Science 2023-06-19 Yusuf Sale , Michele Caprio , Eyke Hüllermeier

Credal sets are sets of probability distributions that are considered as candidates for an imprecisely known ground-truth distribution. In machine learning, they have recently attracted attention as an appealing formalism for uncertainty…

Machine Learning · Statistics 2024-02-19 Alireza Javanmardi , David Stutz , Eyke Hüllermeier

The accurate representation of epistemic uncertainty is a challenging yet essential task in machine learning. A widely used representation corresponds to convex sets of probabilistic predictors, also known as credal sets. One popular way of…

Machine Learning · Computer Science 2025-07-30 Mira Jürgens , Thomas Mortier , Eyke Hüllermeier , Viktor Bengs , Willem Waegeman

Real-world learning tasks often encounter uncertainty due to covariate shift and noisy or inconsistent labels. However, existing robust learning methods merge these effects into a single distributional uncertainty set. In this work, we…

Methodology · Statistics 2026-03-17 Varun Venkatesh , Eyke Hüllermeier , Bernd Bischl , Mina Rezaei

Credal sets, i.e., closed convex sets of probability measures, provide a natural framework to represent aleatoric and epistemic uncertainty in machine learning. Yet how to quantify these two types of uncertainty for a given credal set,…

Concept Bottleneck Models (CBMs) predict through human-interpretable concepts, but they typically output point concept probabilities that conflate epistemic uncertainty (reducible model underspecification) with aleatoric uncertainty…

Artificial Intelligence · Computer Science 2026-04-28 Tanmoy Mukherjee , Thomas Bailleux , Pierre Marquis , Zied Bouraoui

Language models (LMs) are statistical models trained to assign probability to human-generated text. As such, it is reasonable to question whether they approximate linguistic variability exhibited by humans well. This form of statistical…

Computation and Language · Computer Science 2024-03-19 Evgenia Ilia , Wilker Aziz

Many machine learning algorithms rely on iterative updates of uncertainty representations, ranging from variational inference and expectation-maximization, to reinforcement learning, continual learning, and multi-agent learning. In the…

Machine Learning · Computer Science 2026-02-05 Michele Caprio , Siu Lun Chau , Krikamol Muandet

Uncertainty quantification approaches have been more critical in large language models (LLMs), particularly high-risk applications requiring reliable outputs. However, traditional methods for uncertainty quantification, such as…

Artificial Intelligence · Computer Science 2024-07-01 Ferhat Ozgur Catak , Murat Kuzlu

Conformal prediction is a model-agnostic approach to generating prediction sets that cover the true class with a high probability. Although its prediction set size is expected to capture aleatoric uncertainty, there is a lack of evidence…

Machine Learning · Computer Science 2025-11-24 Misgina Tsighe Hagos , Claes Lundström

Methods to quantify uncertainty in predictions from arbitrary models are in demand in high-stakes domains like medicine and finance. Conformal prediction has emerged as a popular method for producing a set of predictions with specified…

Machine Learning · Computer Science 2025-03-19 Jessica Hullman , Yifan Wu , Dawei Xie , Ziyang Guo , Andrew Gelman

Large language models (LLMs) are increasingly used in high-stakes settings, where overconfident responses can mislead users. Reliable confidence estimation has been shown to enhance trust and task accuracy. Yet existing methods face…

Computation and Language · Computer Science 2025-09-30 Linwei Tao , Yi-Fan Yeh , Bo Kai , Minjing Dong , Tao Huang , Tom A. Lamb , Jialin Yu , Philip H. S. Torr , Chang Xu

In Natural Language Generation (NLG) tasks, for any input, multiple communicative goals are plausible, and any goal can be put into words, or produced, in multiple ways. We characterise the extent to which human production varies lexically,…

Computation and Language · Computer Science 2023-10-23 Mario Giulianelli , Joris Baan , Wilker Aziz , Raquel Fernández , Barbara Plank

Contemporary undertakings provide limitless opportunities for widespread application of machine reasoning and artificial intelligence in situations characterised by uncertainty, hostility and sheer volume of data. The paper develops a…

Artificial Intelligence · Computer Science 2022-08-05 Branko Ristic , Alessio Benavoli , Sanjeev Arulampalam

Predictive geometric models deliver excellent results for many Machine Learning use cases. Despite their undoubted performance, neural predictive algorithms can show unexpected degrees of instability and variance, particularly when applied…

Machine Learning · Computer Science 2018-07-20 Michaela Regneri , Malte Hoffmann , Jurij Kost , Niklas Pietsch , Timo Schulz , Sabine Stamm

Large language models possess remarkable capacity for processing language, but it remains unclear whether these models can further generate creative content. The present study aims to investigate the creative thinking of large language…

Computation and Language · Computer Science 2023-10-18 Honghua Chen , Nai Ding

This paper presents an innovative approach, called credal wrapper, to formulating a credal set representation of model averaging for Bayesian neural networks (BNNs) and deep ensembles (DEs), capable of improving uncertainty estimation in…

Machine Learning · Computer Science 2025-05-12 Kaizheng Wang , Fabio Cuzzolin , Keivan Shariatmadar , David Moens , Hans Hallez

The ability to acknowledge the inevitable uncertainty in their knowledge and reasoning is a prerequisite for AI systems to be truly truthful and reliable. In this paper, we present a taxonomy of uncertainty specific to vision-language AI…

Artificial Intelligence · Computer Science 2024-07-03 Khyathi Raghavi Chandu , Linjie Li , Anas Awadalla , Ximing Lu , Jae Sung Park , Jack Hessel , Lijuan Wang , Yejin Choi
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