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Uncertainty quantification (UQ) is important for reliability assessment and enhancement of machine learning models. In deep learning, uncertainties arise not only from data, but also from the training procedure that often injects…

Machine Learning · Statistics 2023-11-13 Ziyi Huang , Henry Lam , Haofeng Zhang

Deep learning (DL) has shown great potential in medical image enhancement problems, such as super-resolution or image synthesis. However, to date, little consideration has been given to uncertainty quantification over the output image. Here…

Precipitation governs Earth's hydroclimate, and its daily spatiotemporal fluctuations have major socioeconomic effects. Advances in Numerical weather prediction (NWP) have been measured by the improvement of forecasts for various physical…

Atmospheric and Oceanic Physics · Physics 2022-11-14 Manmeet Singh , Vaisakh S B , Nachiketa Acharya , Aditya Grover , Suryachandra A Rao , Bipin Kumar , Zong-Liang Yang , Dev Niyogi

Numerical Weather Prediction (NWP), is widely used in precipitation forecasting, based on complex equations of atmospheric motion requires supercomputers to infer the state of the atmosphere. Due to the complexity of the task and the huge…

Signal Processing · Electrical Eng. & Systems 2020-01-10 Xinyu Xiao , Qiuming Kuang , Shiming Xiang , Junnan Hu , Chunhong Pan

Global artificial intelligence (AI) models are rapidly advancing and beginning to outperform traditional numerical weather prediction (NWP) models across metrics, yet predicting regional extreme weather such as tropical cyclone (TC)…

Atmospheric and Oceanic Physics · Physics 2025-04-15 Chanh Kieu , Khanh Luong , Tri Nguyen

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

Weather forecasting is fundamentally challenged by the chaotic nature of the atmosphere, necessitating probabilistic approaches to quantify uncertainty. While traditional ensemble prediction (EPS) addresses this through computationally…

Machine Learning · Computer Science 2025-11-19 Xinlei Xiong , Wenbo Hu , Shuxun Zhou , Kaifeng Bi , Lingxi Xie , Ying Liu , Richang Hong , Qi Tian

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

While numerical weather prediction (NWP) models are essential for forecasting thunderstorms hours in advance, NWP uncertainty, which increases with lead time, limits the predictability of thunderstorm occurrence. This study investigates how…

Atmospheric and Oceanic Physics · Physics 2025-02-20 Kianusch Vahid Yousefnia , Tobias Bölle , Christoph Metzl

Reliable uncertainty estimation is critical for deploying neural networks (NNs) in real-world applications. While existing calibration techniques often rely on post-hoc adjustments or coarse-grained binning methods, they remain limited in…

Machine Learning · Computer Science 2025-05-30 Pedro Mendes , Paolo Romano , David Garlan

Researchers have proposed several approaches for neural network (NN) based uncertainty quantification (UQ). However, most of the approaches are developed considering strong assumptions. Uncertainty quantification algorithms often perform…

Faithful uncertainty quantification (UQ) is paramount in high stakes climate prediction. Deep ensembles, or ensembles of probabilistic neural networks, are state of the art for UQ in machine learning (ML) and are growing increasingly…

Atmospheric and Oceanic Physics · Physics 2026-03-24 Devin M. McAfee , Elizabeth A. Barnes

Scientific Machine Learning is a new class of approaches that integrate physical knowledge and mechanistic models with data-driven techniques for uncovering governing equations of complex processes. Among the available approaches, Universal…

Machine Learning · Statistics 2024-06-14 Nina Schmid , David Fernandes del Pozo , Willem Waegeman , Jan Hasenauer

Deep neural networks (DNNs) have been successfully applied to earth observation (EO) data and opened new research avenues. Despite the theoretical and practical advances of these techniques, DNNs are still considered black box tools and by…

Atmospheric and Oceanic Physics · Physics 2024-04-15 Nils Lehmann , Nina Maria Gottschling , Stefan Depeweg , Eric Nalisnick

While widely recognized as one of the most substantial weather forecasting methodologies, Numerical Weather Prediction (NWP) usually suffers from relatively coarse resolution and inevitable bias due to tempo-spatial discretization, physical…

Atmospheric and Oceanic Physics · Physics 2023-12-21 Pengwei Liu , Wenwei Wang , Bingqing Peng , Binqing Wu , Liang Sun

Uncertainty is an essential consideration for time series forecasting tasks. In this work, we specifically focus on quantifying the uncertainty of traffic forecasting. To achieve this, we develop Deep Spatio-Temporal Uncertainty…

Machine Learning · Computer Science 2022-08-12 Weizhu Qian , Dalin Zhang , Yan Zhao , Kai Zheng , James J. Q. Yu

Neural networks predictions are unreliable when the input sample is out of the training distribution or corrupted by noise. Being able to detect such failures automatically is fundamental to integrate deep learning algorithms into robotics.…

Computer Vision and Pattern Recognition · Computer Science 2020-02-18 Antonio Loquercio , Mattia Segù , Davide Scaramuzza

With the advancement of GPS, remote sensing, and computational simulations, large amounts of geospatial and spatiotemporal data are being collected at an increasing speed. Such emerging spatiotemporal big data assets, together with the…

Machine Learning · Computer Science 2024-06-24 Wenchong He , Zhe Jiang

Quantifying forecast uncertainty is a key aspect of state-of-the-art numerical weather prediction and data assimilation systems. Ensemble-based data assimilation systems incorporate state-dependent uncertainty quantification based on…

Atmospheric and Oceanic Physics · Physics 2023-05-17 Maximiliano A. Sacco , Manuel Pulido , Juan J. Ruiz , Pierre Tandeo

As global climate change intensifies, accurate weather forecasting has become increasingly important, affecting agriculture, energy management, environmental protection, and daily life. This study introduces a hybrid model combining…

Machine Learning · Computer Science 2024-10-22 Yuhao Gong , Yuchen Zhang , Fei Wang , Chi-Han Lee