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We propose a statistical space-time model for predicting atmospheric wind speed based on deterministic numerical weather predictions and historical measurements. We consider a Gaussian multivariate space-time framework that combines…

Applications · Statistics 2016-10-21 Julie Bessac , Emil Mihai Constantinescu , Mihai Anitescu

Time series forecasting is often fundamental to scientific and engineering problems and enables decision making. With ever increasing data set sizes, a trivial solution to scale up predictions is to assume independence between interacting…

Machine Learning · Computer Science 2021-01-18 Kashif Rasul , Abdul-Saboor Sheikh , Ingmar Schuster , Urs Bergmann , Roland Vollgraf

This paper proposes a nonparametric multivariate density forecast model based on deep learning. It not only offers the whole marginal distribution of each random variable in forecasting targets, but also reveals the future correlation…

Systems and Control · Electrical Eng. & Systems 2022-10-28 Zichao Meng , Ye Guo , Wenjun Tang , Hongbin Sun

A grand challenge in machine learning is the development of computational algorithms that match or outperform humans in perceptual inference tasks that are complicated by nuisance variation. For instance, visual object recognition involves…

Machine Learning · Statistics 2015-04-03 Ankit B. Patel , Tan Nguyen , Richard G. Baraniuk

Accurately quantifying air-sea fluxes is important for understanding air-sea interactions and improving coupled weather and climate systems. This study introduces a probabilistic framework to represent the highly variable nature of air-sea…

Atmospheric and Oceanic Physics · Physics 2026-01-30 Jiarong Wu , Pavel Perezhogin , David John Gagne , Brandon Reichl , Aneesh C. Subramanian , Elizabeth Thompson , Laure Zanna

Subseasonal precipitation forecasting is inherently uncertain due to chaotic atmospheric dynamics, making reliable uncertainty estimation essential for real-world applications. Existing approaches typically represent uncertainty through…

Computational Engineering, Finance, and Science · Computer Science 2026-05-12 Lei Chen , Xinyu Su , Xiaohui Zhong , Hao Li

To tackle the global climate challenge, it urgently needs to develop a collaborative platform for comprehensive weather forecasting on large-scale meteorological data. Despite urgency, heterogeneous meteorological sensors across countries…

Machine Learning · Computer Science 2023-05-30 Shengchao Chen , Guodong Long , Tao Shen , Jing Jiang

Chaotic dynamical systems exhibit strong sensitivity to initial conditions and often contain unresolved multiscale processes, making deterministic forecasting fundamentally limited. Generative models offer an appealing alternative by…

Machine Learning · Computer Science 2026-01-01 Patrick Wyrod , Ashesh Chattopadhyay , Daniele Venturi

Deep Learning has recently emerged as a perfect prognosis downscaling technique to compute high-resolution fields from large-scale coarse atmospheric data. Despite their promising results to reproduce the observed local variability, they…

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

The rapid rise of deep learning (DL) in numerical weather prediction (NWP) has led to a proliferation of models which forecast atmospheric variables with comparable or superior skill than traditional physics-based NWP. However, among these…

Modern weather forecast models perform uncertainty quantification using ensemble prediction systems, which collect nonparametric statistics based on multiple perturbed simulations. To provide accurate estimation, dozens of such…

Machine Learning · Computer Science 2019-12-06 Peter Grönquist , Tal Ben-Nun , Nikoli Dryden , Peter Dueben , Luca Lavarini , Shigang Li , Torsten Hoefler

Accurate quantification of uncertainty in neural network predictions remains a central challenge for scientific applications involving high-dimensional, correlated data. While existing methods capture either aleatoric or epistemic…

Machine Learning · Computer Science 2025-08-26 Harrison J. Goldwyn , Mitchell Krock , Johann Rudi , Daniel Getter , Julie Bessac

Coherent X-ray scattering (CXS) techniques are capable of interrogating dynamics of nano- to mesoscale materials systems at time scales spanning several orders of magnitude. However, obtaining accurate theoretical descriptions of complex…

Time series forecasting is crucial for many fields, such as disaster warning, weather prediction, and energy consumption. The Transformer-based models are considered to have revolutionized the field of sequence modeling. However, the…

Machine Learning · Computer Science 2022-11-01 Junlong Tong , Liping Xie , Wankou Yang , Kanjian Zhang

Improving the representation of precipitation in Earth system models (ESMs) is critical for assessing the impacts of climate change and especially of extreme events like floods and droughts. In existing ESMs, precipitation is not resolved…

Machine Learning · Computer Science 2026-05-27 Michael Aich , Sebastian Bathiany , Philipp Hess , Yu Huang , Niklas Boers

Global warming leads to the increase in frequency and intensity of climate extremes that cause tremendous loss of lives and property. Accurate long-range climate prediction allows more time for preparation and disaster risk management for…

Machine Learning · Computer Science 2021-12-13 Ken C. L. Wong , Hongzhi Wang , Etienne E. Vos , Bianca Zadrozny , Campbell D. Watson , Tanveer Syeda-Mahmood

Deep learning-based weather prediction models have advanced significantly in recent years. However, data-driven models based on deep learning are difficult to apply to real-world applications because they are vulnerable to spatial-temporal…

Computer Vision and Pattern Recognition · Computer Science 2022-12-13 Minseok Seo , Doyi Kim , Seungheon Shin , Eunbin Kim , Sewoong Ahn , Yeji Choi

Traffic forecasting is a challenging spatio-temporal modeling task and a critical component of urban transportation management. Current studies mainly focus on deterministic predictions, with limited considerations on the uncertainty and…

Machine Learning · Computer Science 2026-04-20 Weijiang Xiong , Robert Fonod , Nikolas Geroliminis

Accurate weather forecasting across time scales is critical for anticipating and mitigating the impacts of climate change. Recent data-driven methods based on deep learning have achieved significant success in the medium range, but struggle…

Machine Learning · Computer Science 2025-10-22 Tung Nguyen , Tuan Pham , Troy Arcomano , Veerabhadra Kotamarthi , Ian Foster , Sandeep Madireddy , Aditya Grover

Recent innovations in diffusion probabilistic models have paved the way for significant progress in image, text and audio generation, leading to their applications in generative time series forecasting. However, leveraging such abilities to…

Machine Learning · Computer Science 2025-11-07 Yuansan Liu , Sudanthi Wijewickrema , Dongting Hu , Christofer Bester , Stephen O'Leary , James Bailey
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