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This paper introduces a novel and scalable framework for uncertainty estimation and separation with applications in data driven modeling in science and engineering tasks where reliable uncertainty quantification is critical. Leveraging an…

Machine Learning · Computer Science 2024-12-19 Navid Ansari , Hans-Peter Seidel , Vahid Babaei

This paper presents a novel probabilistic forecasting method called ensemble conformalized quantile regression (EnCQR). EnCQR constructs distribution-free and approximately marginally valid prediction intervals (PIs), which are suitable for…

Machine Learning · Computer Science 2022-11-08 Vilde Jensen , Filippo Maria Bianchi , Stian Norman Anfinsen

Uncertainty Quantification (UQ) is essential in probabilistic machine learning models, particularly for assessing the reliability of predictions. In this paper, we present a systematic framework for estimating both epistemic and aleatoric…

Machine Learning · Statistics 2025-09-11 Marzieh Ajirak , Anand Ravishankar , Petar M. Djuric

Uncertainty quantification (UQ) is crucial for deploying machine learning models in high-stakes applications, where overconfident predictions can lead to serious consequences. An effective UQ method must balance computational efficiency…

Machine Learning · Computer Science 2026-02-23 Taeseong Yoon , Heeyoung Kim

For many practical, high-risk applications, it is essential to quantify uncertainty in a model's predictions to avoid costly mistakes. While predictive uncertainty is widely studied for neural networks, the topic seems to be under-explored…

Machine Learning · Computer Science 2021-04-05 Andrey Malinin , Liudmila Prokhorenkova , Aleksei Ustimenko

The importance of accurately quantifying forecast uncertainty has motivated much recent research on probabilistic forecasting. In particular, a variety of deep learning approaches has been proposed, with forecast distributions obtained as…

Machine Learning · Statistics 2024-11-11 Benedikt Schulz , Lutz Köhler , Sebastian Lerch

Ensemble learning is a mainstay in modern data science practice. Conventional ensemble algorithms assign to base models a set of deterministic, constant model weights that (1) do not fully account for individual models' varying accuracy…

Methodology · Statistics 2019-04-02 Jeremiah Zhe Liu , John Paisley , Marianthi-Anna Kioumourtzoglou , Brent A. Coull

To facilitate effective decision-making, precipitation datasets should include uncertainty estimates. Quantile regression with machine learning has been proposed for issuing such estimates. Distributional regression offers distinct…

Machine Learning · Computer Science 2025-01-07 Georgia Papacharalampous , Hristos Tyralis , Nikolaos Doulamis , Anastasios Doulamis

Neural networks make accurate predictions but often fail to provide reliable uncertainty estimates, especially under covariate distribution shifts between training and testing. To address this problem, we propose a Bayesian framework for…

Machine Learning · Statistics 2025-12-22 Yuli Slavutsky , David M. Blei

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

Quantile regression is a fundamental problem in statistical learning motivated by a need to quantify uncertainty in predictions, or to model a diverse population without being overly reductive. For instance, epidemiological forecasts, cost…

Machine Learning · Statistics 2023-04-18 Rasool Fakoor , Taesup Kim , Jonas Mueller , Alexander J. Smola , Ryan J. Tibshirani

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

Uncertainty quantification has been a core of the statistical machine learning, but its computational bottleneck has been a serious challenge for both Bayesians and frequentists. We propose a model-based framework in quantifying…

Machine Learning · Computer Science 2019-06-04 Minsuk Shin , Young Lee , Jun S. Liu

This study aims to improve the spatial representation of uncertainties when regressing surface wind speeds from large-scale atmospheric predictors for sub-seasonal forecasting. Sub-seasonal forecasting often relies on large-scale…

Machine Learning · Computer Science 2025-10-21 Ganglin Tian , Anastase Alexandre Charantonis , Camille Le Coz , Alexis Tantet , Riwal Plougonven

Uncertainty quantification is crucial to decision-making. A prominent example is probabilistic forecasting in numerical weather prediction. The dominant approach to representing uncertainty in weather forecasting is to generate an ensemble…

Machine Learning · Computer Science 2023-10-10 Lizao Li , Rob Carver , Ignacio Lopez-Gomez , Fei Sha , John Anderson

Uncertainty quantification is crucial to assess prediction quality of a machine learning model. In the case of Extreme Learning Machines (ELM), most methods proposed in the literature make strong assumptions on the data, ignore the…

Machine Learning · Statistics 2020-11-04 Fabian Guignard , Federico Amato , Mikhail Kanevski

Rigorous guarantees about the performance of predictive algorithms are necessary in order to ensure their responsible use. Previous work has largely focused on bounding the expected loss of a predictor, but this is not sufficient in many…

Machine Learning · Computer Science 2022-12-29 Jake C. Snell , Thomas P. Zollo , Zhun Deng , Toniann Pitassi , Richard Zemel

Much of uncertainty quantification to date has focused on determining the effect of variables modeled probabilistically, and with a known distribution, on some physical or engineering system. We develop methods to obtain information on the…

Numerical Analysis · Mathematics 2015-03-19 Kamaljit Chowdhary , Paul Dupuis

Conformal prediction is an uncertainty quantification method that constructs a prediction set for a previously unseen datum, ensuring the true label is included with a predetermined coverage probability. Adaptive conformal prediction has…

Machine Learning · Computer Science 2024-11-07 Erfan Hajihashemi , Yanning Shen

Conformalized Quantile Regression (CQR) is a recently proposed method for constructing prediction intervals for a response $Y$ given covariates $X$, without making distributional assumptions. However, existing constructions of CQR can be…

Methodology · Statistics 2024-05-16 Raphael Rossellini , Rina Foygel Barber , Rebecca Willett
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