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Ensemble weather predictions require statistical post-processing of systematic errors to obtain reliable and accurate probabilistic forecasts. Traditionally, this is accomplished with distributional regression models in which the parameters…

Machine Learning · Statistics 2019-04-01 Stephan Rasp , Sebastian Lerch

We propose a data-driven approach for propagating uncertainty in stochastic power grid simulations and apply it to the estimation of transmission line failure probabilities. A reduced-order equation governing the evolution of the observed…

Computational Engineering, Finance, and Science · Computer Science 2024-01-08 Hongli Zhao , Tyler E. Maltba , D. Adrian Maldonado , Emil Constantinescu , Mihai Anitescu

While machine learning-based weather prediction (MLWP) has achieved significant advancements, research on assimilating real observations or ensemble forecasts within MLWP models remains limited. We introduce ClimaX-LETKF, the first purely…

Machine Learning · Computer Science 2025-12-17 Akira Takeshima , Kenta Shiraishi , Atsushi Okazaki , Tadashi Tsuyuki , Shunji Kotsuki

This work is motivated by constructing a weather simulator for precipitation. Temperature and humidity are two of the most important driving forces of precipitation, and the strategy is to have a stochastic model for temperature and…

Applications · Statistics 2015-05-27 Xiangping Hu , Ingelin Steinsland , Daniel Simpson , Sara Martino , Håvard Rue

This paper presents a data-driven approach to model planar pushing interaction to predict both the most likely outcome of a push and its expected variability. The learned models rely on a variation of Gaussian processes with input-dependent…

Robotics · Computer Science 2017-09-26 Maria Bauza , Alberto Rodriguez

Spatiotemporal chaotic systems are difficult to characterize in a model-free manner because of their high dimensionality, strong nonlinearity, and sensitivity to initial conditions. Coupled map lattices, as a representative class of…

Chaotic Dynamics · Physics 2026-04-15 Xiaoqi Lei , Zixiang Yan , Jian Gao , Yueheng Lan , Jinghua Xiao

The paper presents numerical experiments and some theoretical developments in prediction with expert advice (PEA). One experiment deals with predicting electricity consumption depending on temperature and uses real data. As the pattern of…

Artificial Intelligence · Computer Science 2021-09-30 Vladimir V'yugin , Vladimir Trunov

The computational cost as well as the probabilistic skill of ensemble forecasts depends on the spatial resolution of the numerical weather prediction model and the ensemble size. Periodically, e.g. when more computational resources become…

Applications · Statistics 2020-01-17 Sándor Baran , Martin Leutbecher , Marianna Szabó , Zied Ben Bouallègue

Score-based diffusion modeling is a generative machine learning algorithm that can be used to sample from complex distributions. They achieve this by learning a score function, i.e., the gradient of the log-probability density of the data,…

Machine Learning · Computer Science 2025-12-17 Dibyajyoti Chakraborty , Haiwen Guan , Jason Stock , Troy Arcomano , Guido Cervone , Romit Maulik

The atmosphere is chaotic. This fundamental property of the climate system makes forecasting weather incredibly challenging: it's impossible to expect weather models to ever provide perfect predictions of the Earth system beyond timescales…

Atmospheric and Oceanic Physics · Physics 2020-12-15 Elizabeth A. Barnes , Kirsten Mayer , Benjamin Toms , Zane Martin , Emily Gordon

Machine learning models have been employed to perform either physics-free data-driven or hybrid dynamical downscaling of climate data. Most of these implementations operate over relatively small downscaling factors because of the challenge…

Atmospheric and Oceanic Physics · Physics 2023-02-24 Daniel Getter , Julie Bessac , Johann Rudi , Yan Feng

With growing concern for the depletion of soil resources, conventional soil data must be updated to support spatially explicit human-landscape models. Three US soil point datasetswere combined with a stack of over 200 environmental datasets…

Projection of changes in extreme indices of climate variables such as temperature and precipitation are critical to assess the potential impacts of climate change on human-made and natural systems, including critical infrastructures and…

Computer Vision and Pattern Recognition · Computer Science 2020-09-24 Nidhin Harilal , Udit Bhatia , Mayank Singh

Lagrangian trajectory or particle dispersion models as well as semi-Lagrangian advection schemes require meteorological data such as wind, temperature and geopotential at the exact spatio-temporal locations of the particles that move…

Atmospheric and Oceanic Physics · Physics 2022-06-09 Rüdiger Brecht , Lucie Bakels , Alex Bihlo , Andreas Stohl

Probabilistic forecasts of wind speed are important for a wide range of applications, ranging from operational decision making in connection with wind power generation to storm warnings, ship routing and aviation. We present a statistical…

Applications · Statistics 2016-08-06 Michael Scheuerer , David Möller

Guided wave-based techniques have been used extensively in Structural Health Monitoring (SHM). Models using guided waves can provide information from both time and frequency domains to make themselves accurate and robust. Probabilistic SHM…

Signal Processing · Electrical Eng. & Systems 2025-05-06 Yiming Fan , Fotis Kopsaftopoulos

Collecting time series data spatially distributed in many locations is often important for analyzing climate change and its impacts on ecosystems. However, comprehensive spatial data collection is not always feasible, requiring us to…

Machine Learning · Computer Science 2024-06-06 Shihori Koyama , Daisuke Inoue , Hiroaki Yoshida , Kazuyuki Aihara , Gouhei Tanaka

Climate downscaling is a crucial technique within climate research, serving to project low-resolution (LR) climate data to higher resolutions (HR). Previous research has demonstrated the effectiveness of deep learning for downscaling tasks.…

Machine Learning · Computer Science 2023-12-13 Naufal Shidqi , Chaeyoon Jeong , Sungwon Park , Elke Zeller , Arjun Babu Nellikkattil , Karandeep Singh

Obtaining high-resolution maps of precipitation data can provide key insights to stakeholders to assess a sustainable access to water resources at urban scale. Mapping a nonstationary, sparse process such as precipitation at very high…

Applications · Statistics 2023-02-08 Jiachen Zhang , Matthew Bonas , Diogo Bolster , Geir-Arne Fuglstad , Stefano Castruccio

Cloud-related parameterizations remain a leading source of uncertainty in climate projections. Although machine learning holds promise for Earth system models (ESMs), many data-driven parameterizations lack interpretability, physical…

Atmospheric and Oceanic Physics · Physics 2025-11-25 Arthur Grundner , Tom Beucler , Julien Savre , Axel Lauer , Manuel Schlund , Veronika Eyring