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In nuclear reactor system design and safety analysis, the Best Estimate plus Uncertainty (BEPU) methodology requires that computer model output uncertainties must be quantified in order to prove that the investigated design stays within…

Computation · Statistics 2018-06-22 Xu Wu , Tomasz Kozlowski , Hadi Meidani , Koroush Shirvan

Climate models are generally calibrated manually by comparing selected climate statistics, such as the global top-of-atmosphere energy balance, to observations. The manual tuning only targets a limited subset of observational data and…

Atmospheric and Oceanic Physics · Physics 2022-04-06 Michael F. Howland , Oliver R. A. Dunbar , Tapio Schneider

Mathematical models simulate various events under different conditions, enabling an early overview of the system to be implemented in practice, reducing the waste of resources and in less time. In project optimization, these models play a…

Optimization and Control · Mathematics 2021-05-11 Gustavo Barbosa Libotte , Fran Sérgio Lobato , Francisco Duarte Moura Neto , Gustavo Mendes Platt

A long noted difficulty when assessing the reliability (or calibration) of forecasting systems is that reliability, in general, is a hypothesis not about a finite dimensional parameter but about an entire functional relationship. A…

Data Analysis, Statistics and Probability · Physics 2020-12-09 Jochen Bröcker

Predictions and forecasts of machine learning models should take the form of probability distributions, aiming to increase the quantity of information communicated to end users. Although applications of probabilistic prediction and…

Machine Learning · Statistics 2024-03-19 Hristos Tyralis , Georgia Papacharalampous

Accurate uncertainty quantification is critical for reliable predictive modeling. Existing methods typically address either aleatoric uncertainty due to measurement noise or epistemic uncertainty resulting from limited data, but not both in…

Machine Learning · Statistics 2026-03-04 Ilia Azizi , Juraj Bodik , Jakob Heiss , Bin Yu

Trustworthy machine learning is driving a large number of ML community works in order to improve ML acceptance and adoption. The main aspect of trustworthy machine learning are the followings: fairness, uncertainty, robustness,…

Machine Learning · Computer Science 2022-07-08 Gregory Scafarto , Nicolas Posocco , Antoine Bonnefoy

This study introduces a significance testing-enhanced conformal prediction (CP) framework to improve trustworthiness of large language models (LLMs) in multiple-choice question answering (MCQA). While LLMs have been increasingly deployed in…

Computation and Language · Computer Science 2025-08-15 Yuanchang Ye

Uncertainty Quantification (UQ) is pivotal in enhancing the robustness, reliability, and interpretability of Machine Learning (ML) systems for healthcare, optimizing resources and improving patient care. Despite the emergence of ML-based…

Machine Learning · Computer Science 2025-05-07 L. Julián Lechuga López , Shaza Elsharief , Dhiyaa Al Jorf , Firas Darwish , Congbo Ma , Farah E. Shamout

Critical decisions frequently rely on high-dimensional output from complex computer simulation models that show intricate cross-variable, spatial and temporal dependence structures, with weather and climate predictions being key examples.…

Methodology · Statistics 2013-12-24 Roman Schefzik , Thordis L. Thorarinsdottir , Tilmann Gneiting

Machine learning models are increasingly used to predict material properties and accelerate atomistic simulations, but the reliability of their predictions depends on the representativeness of the training data. We present a scalable,…

Chemical Physics · Physics 2025-10-20 Daniel Willimetz , Lukáš Grajciar

Conformal Prediction (CP) is a popular uncertainty quantification method that provides distribution-free, statistically valid prediction sets, assuming that training and test data are exchangeable. In such a case, CP's prediction sets are…

Logic in Computer Science · Computer Science 2024-11-19 Linus Jeary , Tom Kuipers , Mehran Hosseini , Nicola Paoletti

Conformal Prediction (CP) is a powerful framework for constructing prediction sets with guaranteed coverage. However, recent studies have shown that integrating confidence calibration with CP can lead to a degradation in efficiency. In this…

Machine Learning · Computer Science 2024-07-25 Rui Luo , Nicolo Colombo

Reliable uncertainty quantification is essential for deploying machine learning systems in high-stakes domains. Conformal prediction provides distribution-free coverage guarantees but often produces overly large prediction sets, limiting…

Machine Learning · Computer Science 2026-04-28 Yunpeng Xu , Wenge Guo , Zhi Wei

Predicting the evolution of turbulent flows is central across science and engineering. Most studies rely on simulations with turbulence models, whose empirical simplifications introduce epistemic uncertainty. The Eigenspace Perturbation…

Machine Learning · Computer Science 2025-11-11 Minghan Chu , Weicheng Qian

Machine learning (ML) surrogate models are increasingly used in engineering analysis and design to replace computationally expensive simulation models, significantly reducing computational cost and accelerating decision-making processes.…

Machine Learning · Statistics 2025-07-22 Xiaoping Du

Data-driven surrogate models offer quick approximations to complex numerical and experimental systems but typically lack uncertainty quantification, limiting their reliability in safety-critical applications. While Bayesian methods provide…

Calibration is crucial in deep learning applications, especially in fields like healthcare and autonomous driving, where accurate confidence estimates are vital for decision-making. However, deep neural networks often suffer from…

Machine Learning · Computer Science 2024-10-17 Linwei Tao , Haolan Guo , Minjing Dong , Chang Xu

Neural networks solving real-world problems are often required not only to make accurate predictions but also to provide a confidence level in the forecast. The calibration of a model indicates how close the estimated confidence is to the…

Neural and Evolutionary Computing · Computer Science 2023-03-21 Ruslan Vasilev , Alexander D'yakonov

Machine learning techniques have found their way into computational chemistry as indispensable tools to accelerate atomistic simulations and materials design. In addition, machine learning approaches hold the potential to boost the…

Chemical Physics · Physics 2025-10-03 Johannes Voss