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Estimating uncertainty is at the core of performing scientific measurements in HEP: a measurement is not useful without an estimate of its uncertainty. The goal of uncertainty quantification (UQ) is inextricably linked to the question, "how…

High Energy Physics - Experiment · Physics 2022-11-02 Thomas Y. Chen , Biprateep Dey , Aishik Ghosh , Michael Kagan , Brian Nord , Nesar Ramachandra

We present a simple and effective approach for posterior uncertainty quantification in deep operator networks (DeepONets); an emerging paradigm for supervised learning in function spaces. We adopt a frequentist approach based on randomized…

Machine Learning · Computer Science 2022-08-17 Yibo Yang , Georgios Kissas , Paris Perdikaris

Accurately quantifying a large language model's (LLM) predictive uncertainty is crucial for judging the reliability of its answers. While most existing research focuses on short, directly answerable questions with closed-form outputs (e.g.,…

Computation and Language · Computer Science 2025-08-08 Yinghao Li , Rushi Qiang , Lama Moukheiber , Chao Zhang

The topic of deep learning has seen a surge of interest in recent years both within and outside of the field of Statistics. Deep models leverage both nonlinearity and interaction effects to provide superior predictions in many cases when…

Methodology · Statistics 2020-09-18 Paul A. Parker , Scott H. Holan

Uncertainty Quantification (UQ) is an important building block for the reliable use of neural networks in real-world scenarios, as it can be a useful tool in identifying faulty predictions. Speech emotion recognition (SER) models can suffer…

Sound · Computer Science 2024-07-02 Oliver Schrüfer , Manuel Milling , Felix Burkhardt , Florian Eyben , Björn Schuller

Uncertainty quantification (UQ) over graphs arises in a number of safety-critical applications in network science. The Gaussian process (GP), as a classical Bayesian framework for UQ, has been developed to handle graph-structured data by…

Machine Learning · Computer Science 2025-10-08 Jinwen Xu , Qin Lu , Georgios B. Giannakis

Uncertainty Quantification (UQ) is essential for creating trustworthy machine learning models. Recent years have seen a steep rise in UQ methods that can flag suspicious examples, however, it is often unclear what exactly these methods…

Machine Learning · Computer Science 2023-10-31 Hao Sun , Boris van Breugel , Jonathan Crabbe , Nabeel Seedat , Mihaela van der Schaar

Uncertainty quantification (UQ) methods for Large Language Models (LLMs) encompass a variety of approaches, with two major types being particularly prominent: information-based, which focus on model confidence expressed as token…

Computation and Language · Computer Science 2025-12-10 Roman Vashurin , Maiya Goloburda , Albina Ilina , Aleksandr Rubashevskii , Preslav Nakov , Artem Shelmanov , Maxim Panov

Deep learning models are extensively used in various safety critical applications. Hence these models along with being accurate need to be highly reliable. One way of achieving this is by quantifying uncertainty. Bayesian methods for UQ…

Computer Vision and Pattern Recognition · Computer Science 2020-07-06 Swaroop Bhandary K , Nico Hochgeschwender , Paul Plöger , Frank Kirchner , Matias Valdenegro-Toro

We propose a rigorous framework for Uncertainty Quantification (UQ) in which the UQ objectives and the assumptions/information set are brought to the forefront. This framework, which we call \emph{Optimal Uncertainty Quantification} (OUQ),…

Probability · Mathematics 2016-05-20 Houman Owhadi , Clint Scovel , Timothy John Sullivan , Mike McKerns , Michael Ortiz

Traditional deep learning (DL) models are powerful classifiers, but many approaches do not provide uncertainties for their estimates. Uncertainty quantification (UQ) methods for DL models have received increased attention in the literature…

Machine Learning · Computer Science 2023-08-14 Daniel Ries , Joshua Michalenko , Tyler Ganter , Rashad Imad-Fayez Baiyasi , Jason Adams

Countless research works of deep neural networks (DNNs) in the task of credit card fraud detection have focused on improving the accuracy of point predictions and mitigating unwanted biases by building different network architectures or…

We propose a novel framework for uncertainty quantification via information bottleneck (IB-UQ) for scientific machine learning tasks, including deep neural network (DNN) regression and neural operator learning (DeepONet). Specifically, we…

Numerical Analysis · Mathematics 2023-05-31 Ling Guo , Hao Wu , Wenwen Zhou , Yan Wang , Tao Zhou

Existing methods for quantifying predictive uncertainty in neural networks are either computationally intractable for large language models or require access to training data that is typically unavailable. We derive a lightweight…

Machine Learning · Computer Science 2026-04-01 Nils Grünefeld , Jes Frellsen , Christian Hardmeier

Quantifying uncertainty is important for actionable predictions in real-world applications. A crucial part of predictive uncertainty quantification is the estimation of epistemic uncertainty, which is defined as an integral of the product…

Machine Learning · Computer Science 2023-10-25 Kajetan Schweighofer , Lukas Aichberger , Mykyta Ielanskyi , Günter Klambauer , Sepp Hochreiter

While graph neural networks (GNNs) are widely used for node and graph representation learning tasks, the reliability of GNN uncertainty estimates under distribution shifts remains relatively under-explored. Indeed, while post-hoc…

Machine Learning · Computer Science 2024-12-16 Puja Trivedi , Mark Heimann , Rushil Anirudh , Danai Koutra , Jayaraman J. Thiagarajan

Uncertainty quantification in neural networks through methods such as Dropout, Bayesian neural networks and Laplace approximations is either prone to underfitting or computationally demanding, rendering these approaches impractical for…

Real-world time series data often exhibits substantial missing values, posing challenges for advanced analysis. A common approach to addressing this issue is imputation, where the primary challenge lies in determining the appropriate values…

Machine Learning · Computer Science 2025-12-02 Ying Liu , Peng Cui , Wenbo Hu , Richang Hong

We develop a novel deep learning method for uncertainty quantification in stochastic partial differential equations based on Bayesian neural network (BNN) and Hamiltonian Monte Carlo (HMC). A BNN efficiently learns the posterior…

Machine Learning · Statistics 2022-10-24 Jeahan Jung , Minseok Choi

It is known that neural networks have the problem of being over-confident when directly using the output label distribution to generate uncertainty measures. Existing methods mainly resolve this issue by retraining the entire model to…

Machine Learning · Computer Science 2022-12-15 Maohao Shen , Yuheng Bu , Prasanna Sattigeri , Soumya Ghosh , Subhro Das , Gregory Wornell
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