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Machine learning methods are increasingly widely used in high-risk settings such as healthcare, transportation, and finance. In these settings, it is important that a model produces calibrated uncertainty to reflect its own confidence and…

Artificial Intelligence · Computer Science 2022-09-09 Sophia Sun

Uncertainty estimation has been widely studied in medical image segmentation as a tool to provide reliability, particularly in deep learning approaches. However, previous methods generally lack effective supervision in uncertainty…

Computer Vision and Pattern Recognition · Computer Science 2025-10-15 Yuzhu Li , An Sui , Fuping Wu , Xiahai Zhuang

Process capability indices such as $C_{pk}$ are widely used for manufacturing decisions, yet are typically applied via deterministic thresholding of finite-sample estimates, ignoring uncertainty and leading to unstable outcomes near the…

Applications · Statistics 2026-04-16 Fei Jiang , Lei Yang

Neural weather models have shown immense potential as inexpensive and accurate alternatives to physics-based models. However, most models trained to perform weather forecasting do not quantify the uncertainty associated with their…

Quantifying the data uncertainty in learning tasks is often done by learning a prediction interval or prediction set of the label given the input. Two commonly desired properties for learned prediction sets are \emph{valid coverage} and…

Machine Learning · Computer Science 2022-05-31 Yu Bai , Song Mei , Huan Wang , Yingbo Zhou , Caiming Xiong

Decision making and learning in the presence of uncertainty has attracted significant attention in view of the increasing need to achieve robust and reliable operations. In the case where uncertainty stems from the presence of adversarial…

Machine Learning · Computer Science 2024-03-25 André Bertolace , Konstatinos Gatsis , Kostas Margellos

Deep Neural Networks (DNNs), despite their tremendous success in recent years, could still cast doubts on their predictions due to the intrinsic uncertainty associated with their learning process. Ensemble techniques and post-hoc…

Machine Learning · Computer Science 2022-03-03 Chunwei Ma , Ziyun Huang , Jiayi Xian , Mingchen Gao , Jinhui Xu

Ensembles of neural networks achieve superior performance compared to stand-alone networks in terms of accuracy, uncertainty calibration and robustness to dataset shift. \emph{Deep ensembles}, a state-of-the-art method for uncertainty…

Machine Learning · Computer Science 2022-02-23 Sheheryar Zaidi , Arber Zela , Thomas Elsken , Chris Holmes , Frank Hutter , Yee Whye Teh

Conformal prediction (CP) provides a comprehensive framework to produce statistically rigorous uncertainty sets for black-box machine learning models. To further improve the efficiency of CP, conformal correction is proposed to fine-tune or…

Machine Learning · Computer Science 2025-12-03 Senrong Xu , Tianyu Wang , Zenan Li , Yuan Yao , Taolue Chen , Feng Xu , Xiaoxing Ma

Most machine learning techniques are based upon statistical learning theory, often simplified for the sake of computing speed. This paper is focused on the uncertainty aspect of mathematical modeling in machine learning. Regression analysis…

Machine Learning · Computer Science 2022-06-07 Valentin Arkov

Deep neural network controllers for autonomous driving have recently benefited from significant performance improvements, and have begun deployment in the real world. Prior to their widespread adoption, safety guarantees are needed on the…

Machine Learning · Computer Science 2019-09-24 Rhiannon Michelmore , Matthew Wicker , Luca Laurenti , Luca Cardelli , Yarin Gal , Marta Kwiatkowska

Bayesian optimization is a coherent, ubiquitous approach to decision-making under uncertainty, with applications including multi-arm bandits, active learning, and black-box optimization. Bayesian optimization selects decisions (i.e.…

Machine Learning · Computer Science 2023-12-13 Samuel Stanton , Wesley Maddox , Andrew Gordon Wilson

This study aims to comprehensively investigate the deep ensemble approach, an approximate Bayesian inference, in the multi-output regression task for predicting the aerodynamic performance of a missile configuration. To this end, the effect…

Machine Learning · Computer Science 2023-11-27 Sunwoong Yang , Kwanjung Yee

In this paper, we present results on improving out-of-domain weather prediction and uncertainty estimation as part of the \texttt{Shifts Challenge on Robustness and Uncertainty under Real-World Distributional Shift} challenge. We find that…

Machine Learning · Computer Science 2024-01-10 Sankalp Gilda , Neel Bhandari , Wendy Mak , Andrea Panizza

In response to everyday queries, humans explicitly signal uncertainty and offer alternative answers when they are unsure. Machine learning models that output calibrated prediction sets through conformal prediction mimic this human…

Machine Learning · Computer Science 2024-06-11 Jesse C. Cresswell , Yi Sui , Bhargava Kumar , Noël Vouitsis

To achieve high performance of a machine learning (ML) task, a deep learning-based model must implicitly capture the entire distribution from data. Thus, it requires a huge amount of training samples, and data are expected to fully present…

Machine Learning · Computer Science 2021-11-17 Hung Nguyen , Morris Chang

Uncertainty quantification is crucial for building reliable and trustable machine learning systems. We propose to estimate uncertainty in recurrent neural networks (RNNs) via stochastic discrete state transitions over recurrent timesteps.…

Machine Learning · Computer Science 2020-11-25 Cheng Wang , Carolin Lawrence , Mathias Niepert

Robust control is a core approach for controlling systems with performance guarantees that are robust to modeling error, and is widely used in real-world systems. However, current robust control approaches can only handle small system…

Optimization and Control · Mathematics 2021-06-08 Dimitar Ho , Hoang M. Le , John C. Doyle , Yisong Yue

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

This paper presents a new robustness concept for uncertain multi-objective optimization problems. More precisely, in the paper the so-called recovery-to-efficiency robustness concept is proposed and investigated. Several approaches for…

Optimization and Control · Mathematics 2020-11-23 El-Ghazali Talbi , Raca Todosijevic