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This paper investigates the impact of observations on atmospheric state estimation in weather forecasting systems using graph neural networks (GNNs) and explainability methods. We integrate observation and Numerical Weather Prediction (NWP)…

Artificial Intelligence · Computer Science 2024-03-27 Hyeon-Ju Jeon , Jeon-Ho Kang , In-Hyuk Kwon , O-Joun Lee

Producing high-quality forecasts of key climate variables, such as temperature and precipitation, on subseasonal time scales has long been a gap in operational forecasting. This study explores an application of machine learning (ML) models…

Machine Learning · Computer Science 2024-09-17 Elena Orlova , Haokun Liu , Raphael Rossellini , Benjamin A. Cash , Rebecca Willett

Relationships among time series can be exploited as inductive biases in learning effective forecasting models. In hierarchical time series, relationships among subsets of sequences induce hard constraints (hierarchical inductive biases) on…

Machine Learning · Computer Science 2024-08-22 Andrea Cini , Danilo Mandic , Cesare Alippi

Machine learning for weather prediction increasingly relies on ensemble methods to provide probabilistic forecasts. Diffusion-based models have shown strong performance in Limited-Area Modeling (LAM) but remain computationally expensive at…

Machine Learning · Computer Science 2025-11-27 Erik Larsson , Joel Oskarsson , Tomas Landelius , Fredrik Lindsten

A model-based approach to forecasting chaotic dynamical systems utilizes knowledge of the physical processes governing the dynamics to build an approximate mathematical model of the system. In contrast, machine learning techniques have…

Machine Learning · Computer Science 2018-05-09 Jaideep Pathak , Alexander Wikner , Rebeckah Fussell , Sarthak Chandra , Brian Hunt , Michelle Girvan , Edward Ott

Hail risk assessment is necessary to estimate and reduce damage to crops, orchards, and infrastructure. Also, it helps to estimate and reduce consequent losses for businesses and, particularly, insurance companies. But hail forecasting is…

Atmospheric and Oceanic Physics · Physics 2022-09-05 Ivan Lukyanenko , Mikhail Mozikov , Yury Maximov , Ilya Makarov

Traffic flow forecasting aims to predict future traffic flows based on the historical traffic conditions and the road network. It is an important problem in intelligent transportation systems, with a plethora of methods been proposed.…

Machine Learning · Computer Science 2025-08-04 Yusheng Zhao , Xiao Luo , Haomin Wen , Zhiping Xiao , Wei Ju , Ming Zhang

This paper provides a mixture modeling framework using the bivariate generalized exponential distribution. We study different properties of this mixture distribution. Hierarchical EM algorithm is developed for finding the estimates of the…

Computation · Statistics 2018-04-03 Arabin Kumar Dey , Debasis Kundu , Tumati Kiran Kumar

Weather forecasts sit upstream of high-stakes decisions in domains such as grid operations, aviation, agriculture, and emergency response. Yet forecast users often face a difficult trade-off. Many decision-relevant targets are functionals…

Machine Learning · Computer Science 2026-01-08 Paulius Rauba , Viktor Cikojevic , Fran Bartolic , Sam Levang , Ty Dickinson , Chase Dwelle

The Exponential-family Random Graph Model (ERGM) is a powerful model to fit networks with complex structures. However, for dynamic valued networks whose observations are matrices of counts that evolve over time, the development of the ERGM…

Methodology · Statistics 2023-06-21 Yik Lun Kei , Yanzhen Chen , Oscar Hernan Madrid Padilla

Although numerical weather forecasting methods have dominated the field, recent advances in deep learning methods, such as diffusion models, have shown promise in ensemble weather forecasting. However, such models are typically…

Machine Learning · Computer Science 2025-09-16 Kevin Valencia , Ziyang Liu , Justin Cui

Since the weather is chaotic, forecasts aim to predict the distribution of future states rather than make a single prediction. Recently, multiple data driven weather models have emerged claiming breakthroughs in skill. However, these have…

Most of the methods that produce space weather forecasts are based on deterministic models. In order to generate a probabilistic forecast, a model needs to be run several times sampling the input parameter space, in order to generate an…

Space Physics · Physics 2019-05-01 Enrico Camporeale , Xiangning Chu , Oleksiy Agapitov , Jacob Bortnik

Ensemble weather forecasts based on multiple runs of numerical weather prediction models typically show systematic errors and require post-processing to obtain reliable forecasts. Accurately modeling multivariate dependencies is crucial in…

Atmospheric and Oceanic Physics · Physics 2024-02-02 Jieyu Chen , Tim Janke , Florian Steinke , Sebastian Lerch

This paper presents a multilevel hierarchical framework for the classification of weather conditions and hazard prediction. In recent years, the importance of data has grown significantly, with various types like text, numbers, images,…

Computer Vision and Pattern Recognition · Computer Science 2024-07-25 Harish Neelam

Graph Neural Networks (GNN) have recently gained popularity in the forecasting domain due to their ability to model complex spatial and temporal patterns in tasks such as traffic forecasting and region-based demand forecasting. Most of…

Machine Learning · Computer Science 2023-12-08 Abishek Sriramulu , Nicolas Fourrier , Christoph Bergmeir

We introduce a novel ensemble approach for feature selection based on hierarchical stacking for non-stationarity and/or a limited number of samples with a large number of features. Our approach exploits the co-dependency between features…

Machine Learning · Computer Science 2024-10-08 Aysin Tumay , Mustafa E. Aydin , Ali T. Koc , Suleyman S. Kozat

In this paper, we propose a machine learning approach for forecasting hierarchical time series. When dealing with hierarchical time series, apart from generating accurate forecasts, one needs to select a suitable method for producing…

Machine Learning · Computer Science 2021-07-12 Paolo Mancuso , Veronica Piccialli , Antonio M. Sudoso

Accurate weather forecasting is essential for socioeconomic activities. While data-driven forecasting demonstrates superior predictive capabilities over traditional Numerical Weather Prediction (NWP) with reduced computational demands, its…

Atmospheric and Oceanic Physics · Physics 2024-12-12 Congyi Nai , Xi Chen , Shangshang Yang , Yuan Liang , Ziniu Xiao , Baoxiang Pan

Graph Neural Networks (GNN) provide a powerful framework that elegantly integrates Graph theory with Machine learning for modeling and analysis of networked data. We consider the problem of quantifying the uncertainty in predictions of GNN…

Machine Learning · Computer Science 2022-05-23 Sai Munikoti , Deepesh Agarwal , Laya Das , Balasubramaniam Natarajan
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