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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

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

We show that ensembles of deep neural networks, called deep ensembles, can be used to perform quantum parameter estimation while also providing a means for quantifying uncertainty in parameter estimates, which is a key advantage of using…

Quantum Physics · Physics 2026-03-09 Amanuel Anteneh

Ensembling a neural network is a widely recognized approach to enhance model performance, estimate uncertainty, and improve robustness in deep supervised learning. However, deep ensembles often come with high computational costs and memory…

Uncertainty quantification is a critical yet unsolved challenge for deep learning, especially for the time series imputation with irregularly sampled measurements. To tackle this problem, we propose a novel framework based on the principles…

Machine Learning · Computer Science 2023-06-05 Shweta Dahale , Sai Munikoti , Balasubramaniam Natarajan

Deep learning-based support systems have demonstrated encouraging results in numerous clinical applications involving the processing of time series data. While such systems often are very accurate, they have no inherent mechanism for…

Machine Learning · Computer Science 2020-12-16 Kristoffer Wickstrøm , Karl Øyvind Mikalsen , Michael Kampffmeyer , Arthur Revhaug , Robert Jenssen

Uncertainty quantification is crucial in time series prediction, and quantile regression offers a valuable mechanism for uncertainty quantification which is useful for extreme value forecasting. Although deep learning models have been…

Machine Learning · Computer Science 2024-11-26 Jimmy Cheung , Smruthi Rangarajan , Amelia Maddocks , Xizhe Chen , Rohitash Chandra

Deep Ensembles, as a type of Bayesian Neural Networks, can be used to estimate uncertainty on the prediction of multiple neural networks by collecting votes from each network and computing the difference in those predictions. In this paper,…

Machine Learning · Computer Science 2023-07-10 Illia Oleksiienko , Alexandros Iosifidis

Multivariate time series data for real-world applications typically contain a significant amount of missing values. The dominant approach for classification with such missing values is to impute them heuristically with specific values…

Machine Learning · Computer Science 2023-08-15 SeungHyun Kim , Hyunsu Kim , EungGu Yun , Hwangrae Lee , Jaehun Lee , Juho Lee

Classical problems in computational physics such as data-driven forecasting and signal reconstruction from sparse sensors have recently seen an explosion in deep neural network (DNN) based algorithmic approaches. However, most DNN models do…

Machine Learning · Computer Science 2023-02-21 Romit Maulik , Romain Egele , Krishnan Raghavan , Prasanna Balaprakash

Imputation methods play a critical role in enhancing the quality of practical time-series data, which often suffer from pervasive missing values. Recently, diffusion-based generative imputation methods have demonstrated remarkable success…

Machine Learning · Computer Science 2025-10-03 Zeqi Ye , Minshuo Chen

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

Deep neural networks (DNNs) have made a revolution in numerous fields during the last decade. However, in tasks with high safety requirements, such as medical or autonomous driving applications, providing an assessment of the models…

Machine Learning · Computer Science 2020-11-20 Omer Achrack , Raizy Kellerman , Ouriel Barzilay

Recently, deep learning has emerged as a promising tool for statistical downscaling, the set of methods for generating high-resolution climate fields from coarse low-resolution variables. Nevertheless, their ability to generalize to climate…

Machine Learning · Computer Science 2023-05-03 Jose González-Abad , Jorge Baño-Medina

Deep neural networks (NNs) are powerful black box predictors that have recently achieved impressive performance on a wide spectrum of tasks. Quantifying predictive uncertainty in NNs is a challenging and yet unsolved problem. Bayesian NNs,…

Machine Learning · Statistics 2017-11-07 Balaji Lakshminarayanan , Alexander Pritzel , Charles Blundell

The increased availability of massive data sets provides a unique opportunity to discover subtle patterns in their distributions, but also imposes overwhelming computational challenges. To fully utilize the information contained in big…

Statistics Theory · Mathematics 2018-04-12 Stanislav Volgushev , Shih-Kang Chao , Guang Cheng

Big data analytics has opened new avenues in economic research, but the challenge of analyzing datasets with tens of millions of observations is substantial. Conventional econometric methods based on extreme estimators require large amounts…

Econometrics · Economics 2023-11-02 Sokbae Lee , Yuan Liao , Myung Hwan Seo , Youngki Shin

Deep ensembles can be considered as the current state-of-the-art for uncertainty quantification in deep learning. While the approach was originally proposed as a non-Bayesian technique, arguments supporting its Bayesian footing have been…

Machine Learning · Computer Science 2021-11-19 Lara Hoffmann , Clemens Elster

While neural networks have demonstrated impressive performance across various tasks, accurately quantifying uncertainty in their predictions is essential to ensure their trustworthiness and enable widespread adoption in critical systems.…

Machine Learning · Statistics 2025-11-11 Joseph Wilson , Chris van der Heide , Liam Hodgkinson , Fred Roosta

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
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