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Deep neural networks lack interpretability and tend to be overconfident, which poses a serious problem in safety-critical applications like autonomous driving, medical imaging, or machine vision tasks with high demands on reliability.…

Computer Vision and Pattern Recognition · Computer Science 2024-03-27 Steven Landgraf , Kira Wursthorn , Markus Hillemann , Markus Ulrich

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

Uncertainty quantification is a critical aspect of reinforcement learning and deep learning, with numerous applications ranging from efficient exploration and stable offline reinforcement learning to outlier detection in medical…

Machine Learning · Computer Science 2025-03-27 Moritz A. Zanger , Pascal R. Van der Vaart , Wendelin Böhmer , Matthijs T. J. Spaan

Efficiently and reliably estimating uncertainty is an important objective in deep learning. It is especially pertinent to autoregressive sequence tasks, where training and inference costs are typically very high. However, existing research…

Machine Learning · Computer Science 2023-05-18 Yassir Fathullah , Guoxuan Xia , Mark Gales

Deep learning is increasingly being applied in safety-critical domains. For these scenarios it is important to know the level of uncertainty in a model's prediction to ensure appropriate decisions are made by the system. Deep ensembles are…

Machine Learning · Computer Science 2022-03-17 Yassir Fathullah , Mark J. F. Gales

Ensembles of models often yield improvements in system performance. These ensemble approaches have also been empirically shown to yield robust measures of uncertainty, and are capable of distinguishing between different \emph{forms} of…

Machine Learning · Statistics 2019-11-27 Andrey Malinin , Bruno Mlodozeniec , Mark Gales

Uncertainty Quantification (UQ) presents a pivotal challenge in the field of Artificial Intelligence (AI), profoundly impacting decision-making, risk assessment and model reliability. In this paper, we introduce Credal and Interval Deep…

Machine Learning · Computer Science 2025-12-08 Michele Caprio , Shireen K. Manchingal , Fabio Cuzzolin

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

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

Uncertainty estimation is critical for reliable medical image segmentation, particularly in retinal vessel analysis, where accurate predictions are essential for diagnostic applications. Deep Ensembles, where multiple networks are trained…

Computer Vision and Pattern Recognition · Computer Science 2025-09-16 Jeremiah Fadugba , Petru Manescu , Bolanle Oladejo , Delmiro Fernandez-Reyes , Philipp Berens

Bayesian models have many desirable properties, most notable is their ability to generalize from limited data and to properly estimate the uncertainty in their predictions. However, these benefits come at a steep computational cost as…

Machine Learning · Computer Science 2022-06-07 Coby Penso , Idan Achituve , Ethan Fetaya

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,…

Deploying artificial intelligence (AI) models on edge devices involves a delicate balance between meeting stringent complexity constraints, such as limited memory and energy resources, and ensuring reliable performance in sensitive…

Machine Learning · Computer Science 2025-10-02 Jiayi Huang , Sangwoo Park , Nicola Paoletti , Osvaldo Simeone

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

Credal predictors are models that are aware of epistemic uncertainty and produce a convex set of probabilistic predictions. They offer a principled way to quantify predictive epistemic uncertainty (EU) and have been shown to improve model…

Machine Learning · Computer Science 2026-02-27 Kaizheng Wang , Ghifari Adam Faza , Fabio Cuzzolin , Siu Lun Chau , David Moens , Hans Hallez

The idea to distinguish and quantify two important types of uncertainty, often referred to as aleatoric and epistemic, has received increasing attention in machine learning research in the last couple of years. In this paper, we consider…

Machine Learning · Computer Science 2021-12-13 Mohammad Hossein Shaker , Eyke Hüllermeier

Evidential deep learning (EDL) has shown remarkable success in uncertainty estimation. However, there is still room for improvement, particularly in out-of-distribution (OOD) detection and classification tasks. The limited OOD detection…

Machine Learning · Computer Science 2025-10-15 Taeseong Yoon , Heeyoung Kim

Effective uncertainty estimation is becoming increasingly attractive for enhancing the reliability of neural networks. This work presents a novel approach, termed Credal-Set Interval Neural Networks (CreINNs), for classification. CreINNs…

Machine Learning · Computer Science 2025-01-28 Kaizheng Wang , Keivan Shariatmadar , Shireen Kudukkil Manchingal , Fabio Cuzzolin , David Moens , Hans Hallez

Brain vessel segmentation of MR scans is a critical step in the diagnosis of cerebrovascular diseases. Due to the fine vessel structure, manual vessel segmentation is time consuming. Therefore, automatic deep learning (DL) based…

Image and Video Processing · Electrical Eng. & Systems 2025-03-31 Omini Rathore , Richard Paul , Abigail Morrison , Hanno Scharr , Elisabeth Pfaehler

Ensembles of neural networks have been shown to give better performance than single networks, both in terms of predictions and uncertainty estimation. Additionally, ensembles allow the uncertainty to be decomposed into aleatoric (data) and…

Machine Learning · Statistics 2021-01-11 Jakob Lindqvist , Amanda Olmin , Fredrik Lindsten , Lennart Svensson
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