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We present batching as an omnibus device for uncertainty quantification using simulation output. We consider the classical context of a simulationist performing uncertainty quantification on an estimator $\theta_n$ (of an unknown fixed…

Methodology · Statistics 2024-08-27 Yongseok Jeon , Yi Chu , Raghu Pasupathy , Sara Shashaani

Efficiently and meaningfully estimating prediction uncertainty is important for exploration in active learning campaigns in materials discovery, where samples with high uncertainty are interpreted as containing information missing from the…

Materials Science · Physics 2025-11-25 Ashley S. Dale , Kangming Li , Brian DeCost , Hao Wan , Yuchen Han , Yao Fehlis , Jason Hattrick-Simpers

This paper proposes a fast and scalable method for uncertainty quantification of machine learning models' predictions. First, we show the principled way to measure the uncertainty of predictions for a classifier based on Nadaraya-Watson's…

Prediction uncertainty estimation has clinical significance as it can potentially quantify prediction reliability. Clinicians may trust 'blackbox' models more if robust reliability information is available, which may lead to more models…

Machine Learning · Computer Science 2022-10-04 Michael Dohopolski , Kai Wang , Biling Wang , Ti Bai , Dan Nguyen , David Sher , Steve Jiang , Jing Wang

As machine learning (ML) models are increasingly deployed in high-stakes domains, trustworthy uncertainty quantification (UQ) is critical for ensuring the safety and reliability of these models. Traditional UQ methods rely on specifying a…

Machine Learning · Statistics 2025-05-14 Abhineet Agarwal , Michael Xiao , Rebecca Barter , Omer Ronen , Boyu Fan , Bin Yu

The use of AI systems in healthcare for the early screening of diseases is of great clinical importance. Deep learning has shown great promise in medical imaging, but the reliability and trustworthiness of AI systems limit their deployment…

Image and Video Processing · Electrical Eng. & Systems 2023-05-17 Ke Zou , Zhihao Chen , Xuedong Yuan , Xiaojing Shen , Meng Wang , Huazhu Fu

Quantitative decision-making (QDM) principles address the issues related to the mapping of results to decisions, the synthesis of information and the quantification of uncertainty. Since the clinical drug development involves a succession…

Computational molecular modeling and visualization has seen significant progress in recent years with sev- eral molecular modeling and visualization software systems in use today. Nevertheless the molecular biology community lacks…

Computational Engineering, Finance, and Science · Computer Science 2016-05-20 Muhibur Rasheed , Nathan Clement , Abhishek Bhowmick , Chandrajit Bajaj

Uncertainty quantification (UQ) is a vital step in using mathematical models and simulations to take decisions. The field of cardiac simulation has begun to explore and adopt UQ methods to characterise uncertainty in model inputs and how…

Effective Uncertainty Quantification (UQ) represents a key aspect for reliable deployment of Large Language Models (LLMs) in automated decision-making and beyond. Yet, for LLM generation with multiple choice structure, the state-of-the-art…

Machine Learning · Computer Science 2025-11-18 Ramzi Dakhmouche , Adrien Letellier , Hossein Gorji

This study is a first step towards using data-informed differential models to predict and control the dynamics of cancer-on-chip experiments. We consider a conceptualized one-dimensional device, containing a cancer and a population of white…

Computational Engineering, Finance, and Science · Computer Science 2026-02-06 Silvia Bertoluzza , Vittoria Bianchi , Gabriella Bretti , Lorenzo Tamellini , Pietro Zanotti

Statistical tools of uncertainty quantification can be used to assess the information content of measured observables with respect to present-day theoretical models; to estimate model errors and thereby improve predictive capability; to…

Nuclear Theory · Physics 2015-03-26 J. D. McDonnell , N. Schunck , D. Higdon , J. Sarich , S. M. Wild , W. Nazarewicz

When deployed in the real world, machine learning models inevitably encounter changes in the data distribution, and certain -- but not all -- distribution shifts could result in significant performance degradation. In practice, it may make…

Machine Learning · Statistics 2022-05-06 Aleksandr Podkopaev , Aaditya Ramdas

Assessing the quality of aleatoric uncertainty estimates from uncertainty quantification (UQ) deep learning methods is important in scientific contexts, where uncertainty is physically meaningful and important to characterize and interpret…

Machine Learning · Computer Science 2024-11-14 Rebecca Nevin , Aleksandra Ćiprijanović , Brian D. Nord

Modern medical research demands specialized causal inference methods evaluating complex continuous-time dynamic treatment regimens using observational data. For instance, obtaining the causal effects of intravenous administration, a…

Methodology · Statistics 2026-04-02 Haiyan Zhu , Yingchun Zhou

Mathematical models of real life phenomena are highly nonlinear involving multiple parameters and often exhibiting complex dynamics. Experimental data sets are typically small and noisy, rendering estimation of parameters from such data…

Chaotic Dynamics · Physics 2017-05-11 Abhirup Ghosh , Samit Bhattacharyya , Somdatta Sinha , Amit Apte

We apply random matrix theory to study the impact of measurement uncertainty on dynamic mode decomposition. Specifically, when the measurements follow a normal probability density function, we show how the moments of that density propagate…

Methodology · Statistics 2025-09-04 P. Algikar , P. Sharma , M. Netto , L. Mili

For time series with high temporal correlation, the empirical process converges rather slowly to its limiting distribution. Many statistics in change-point analysis, goodness-of-fit testing and uncertainty quantification admit a…

Statistics Theory · Mathematics 2025-05-26 Annika Betken , Marie-Christine Düker

In context-specific applications such as robotics, telecommunications, and healthcare, artificial intelligence systems often face the challenge of limited training data. This scarcity introduces epistemic uncertainty, i.e., reducible…

Information Theory · Computer Science 2026-03-17 Osvaldo Simeone , Yaniv Romano

Measurement of uncertainty of predictions from machine learning methods is important across scientific domains and applications. We present, to our knowledge, the first such technique that quantifies the uncertainty of predictions from a…

Machine Learning · Statistics 2022-04-04 Alex Hagen , Karl Pazdernik , Nicole LaHaye , Marjolein Oostrom
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