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This book chapter introduces the principles and practical applications of uncertainty quantification in machine learning. It explains how to identify and distinguish between different types of uncertainty and presents methods for…

Machine Learning · Computer Science 2025-10-08 Hans Weytjens , Wouter Verbeke

Large Language Models (LLMs) excel in text generation, reasoning, and decision-making, enabling their adoption in high-stakes domains such as healthcare, law, and transportation. However, their reliability is a major concern, as they often…

Computation and Language · Computer Science 2025-06-05 Xiaoou Liu , Tiejin Chen , Longchao Da , Chacha Chen , Zhen Lin , Hua Wei

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

Accurately estimating semantic aleatoric and epistemic uncertainties in large language models (LLMs) is particularly challenging in free-form question answering (QA), where obtaining stable estimates often requires many expensive…

Computation and Language · Computer Science 2026-01-26 Ji Won Park , Kyunghyun Cho

This work proposes a semantic segmentation network that produces high-quality uncertainty estimates in a single forward pass. We exploit general representations from foundation models and unlabelled datasets through a Masked Image Modeling…

Computer Vision and Pattern Recognition · Computer Science 2024-02-28 David S. W. Williams , Matthew Gadd , Paul Newman , Daniele De Martini

When implementing prediction models for high-stakes real-world applications such as medicine, finance, and autonomous systems, quantifying prediction uncertainty is critical for effective risk management. Traditional approaches to…

Machine Learning · Statistics 2025-04-29 Junting Ren , Armin Schwartzman

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

Probabilistic image segmentation encodes varying prediction confidence and inherent ambiguity in the segmentation problem. While different probabilistic segmentation models are designed to capture different aspects of segmentation…

Computer Vision and Pattern Recognition · Computer Science 2021-03-31 Steffen Czolbe , Kasra Arnavaz , Oswin Krause , Aasa Feragen

Multimodal foundation models offer a promising framework for robotic perception and planning by processing sensory inputs to generate actionable plans. However, addressing uncertainty in both perception (sensory interpretation) and…

Robotics · Computer Science 2025-04-18 Neel P. Bhatt , Yunhao Yang , Rohan Siva , Daniel Milan , Ufuk Topcu , Zhangyang Wang

Uncertainty quantification is a critical aspect of machine learning models, providing important insights into the reliability of predictions and aiding the decision-making process in real-world applications. This paper proposes a novel way…

Machine Learning · Computer Science 2024-01-02 Yusuf Sale , Paul Hofman , Lisa Wimmer , Eyke Hüllermeier , Thomas Nagler

Most progress in semantic segmentation reports on daytime images taken under favorable illumination conditions. We instead address the problem of semantic segmentation of nighttime images and improve the state-of-the-art, by adapting…

Computer Vision and Pattern Recognition · Computer Science 2019-07-29 Christos Sakaridis , Dengxin Dai , Luc Van Gool

Predictions of uncertainty-aware models are diverse, ranging from single point estimates (often averaged over prediction samples) to predictive distributions, to set-valued or credal-set representations. We propose a novel unified…

Machine Learning · Computer Science 2025-02-18 Shireen Kudukkil Manchingal , Muhammad Mubashar , Kaizheng Wang , Fabio Cuzzolin

Model uncertainty is a crucial issue in statistics, econometrics and machine learning, yet its definition remains ambiguous and is subject to various interpretations in the literature. So far, there has not been a universally accepted…

Methodology · Statistics 2025-08-12 Guangyuan Cui , Yuting Wei , Xinyu Zhang

There are two major types of uncertainty one can model. Aleatoric uncertainty captures noise inherent in the observations. On the other hand, epistemic uncertainty accounts for uncertainty in the model -- uncertainty which can be explained…

Computer Vision and Pattern Recognition · Computer Science 2017-10-06 Alex Kendall , Yarin Gal

Uncertainty estimation is critical for cost-sensitive deep-learning applications (i.e. disease diagnosis). It is very challenging partly due to the inaccessibility of uncertainty groundtruth in most datasets. Previous works proposed to…

Machine Learning · Computer Science 2021-10-18 Bolian Li , Zige Zheng , Changqing Zhang

Scientific knowledge is constantly subject to a variety of changes due to new discoveries, alternative interpretations, and fresh perspectives. Understanding uncertainties associated with various stages of scientific inquiries is an…

Digital Libraries · Computer Science 2020-12-24 Chaomei Chen , Ming Song , Go Eun Heo

Robustness to out-of-distribution (OOD) data is an important goal in building reliable machine learning systems. Especially in autonomous systems, wrong predictions for OOD inputs can cause safety critical situations. As a first step…

Machine Learning · Computer Science 2020-04-17 Andreas Sedlmeier , Thomas Gabor , Thomy Phan , Lenz Belzner , Claudia Linnhoff-Popien

Speech classification has attracted increasing attention due to its wide applications, particularly in classifying physical and mental states. However, these tasks are challenging due to the high variability in speech signals. Ensemble…

Audio and Speech Processing · Electrical Eng. & Systems 2024-07-25 Bagus Tris Atmaja , Felix Burkhardt

Deep neural networks excel in perception tasks such as semantic segmentation and monocular depth estimation, making them indispensable in safety-critical applications like autonomous driving and industrial inspection. However, they often…

Computer Vision and Pattern Recognition · Computer Science 2025-01-17 Steven Landgraf , Markus Hillemann , Theodor Kapler , Markus Ulrich

Though deep learning has achieved advanced performance recently, it remains a challenging task in the field of medical imaging, as obtaining reliable labeled training data is time-consuming and expensive. In this paper, we propose a…

Computer Vision and Pattern Recognition · Computer Science 2020-10-20 Yixin Wang , Yao Zhang , Jiang Tian , Cheng Zhong , Zhongchao Shi , Yang Zhang , Zhiqiang He
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