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The integration of physical relationships into stochastic models is of major interest e.g. in data assimilation. Here, a multivariate Gaussian random field formulation is introduced, which represents the differential relations of the…

应用统计 · 统计学 2018-02-14 Rüdiger Hewer , Petra Friederichs , Andreas Hense , Martin Schlather

Accurately estimating latent velocity vector fields of atmospheric winds is crucial for understanding weather phenomena. Direct measurement of atmospheric winds is costly, especially in the upper atmosphere, so researchers attempt to…

应用统计 · 统计学 2025-06-12 Youssef Fahmy , Maria Laura Battagliola , Joseph Guinness

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…

大气与海洋物理 · 物理学 2023-02-24 Daniel Getter , Julie Bessac , Johann Rudi , Yan Feng

Gaussian processes (GPs) are a popular model for spatially referenced data and allow descriptive statements, predictions at new locations, and simulation of new fields. Often a few parameters are sufficient to parameterize the covariance…

机器学习 · 统计学 2021-01-01 Florian Gerber , Douglas W. Nychka

A new probabilistic post-processing method for wind vectors is presented in a distributional regression framework employing the bivariate Gaussian distribution. In contrast to previous studies all parameters of the distribution are…

应用统计 · 统计学 2019-07-26 Moritz N. Lang , Georg J. Mayr , Reto Stauffer , Achim Zeileis

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…

应用统计 · 统计学 2016-10-21 Julie Bessac , Emil Mihai Constantinescu , Mihai Anitescu

Multi-model ensemble analysis integrates information from multiple climate models into a unified projection. However, existing integration approaches based on model averaging can dilute fine-scale spatial information and incur bias from…

应用统计 · 统计学 2023-04-12 Trevor Harris , Bo Li , Ryan Sriver

Downscaling aims to link the behaviour of the atmosphere at fine scales to properties measurable at coarser scales, and has the potential to provide high resolution information at a lower computational and storage cost than numerical…

大气与海洋物理 · 物理学 2021-05-19 Rachel Prudden , Niall Robinson , Peter Challenor , Richard Everson

Wind gust prediction plays an important role in warning strategies of national meteorological services due to the high impact of its extreme values. However, forecasting wind gusts is challenging because they are influenced by small-scale…

应用统计 · 统计学 2024-01-24 Cristina Primo , Benedikt Schulz , Sebastian Lerch , Reinhold Hess

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…

机器学习 · 计算机科学 2025-08-26 Harrison J. Goldwyn , Mitchell Krock , Johann Rudi , Daniel Getter , Julie Bessac

Issuing timely severe weather warnings helps mitigate potentially disastrous consequences. Recent advancements in Neural Weather Models (NWMs) offer a computationally inexpensive and fast approach for forecasting atmospheric environments on…

大气与海洋物理 · 物理学 2025-08-22 Antoine Leclerc , Erwan Koch , Monika Feldmann , Daniele Nerini , Tom Beucler

In power system operation, characterizing the stochastic nature of wind power is an important albeit challenging issue. It is well known that distributions of wind power forecast errors often exhibit significant variability with respect to…

数据分析、统计与概率 · 物理学 2017-12-05 Zhiwen Wang , Chen Shen , Feng Liu

Addressing complex meteorological processes at a fine spatial resolution requires substantial computational resources. To accelerate meteorological simulations, researchers have utilized neural networks to downscale meteorological variables…

大气与海洋物理 · 物理学 2024-04-30 Jing Hu , Honghu Zhang , Peng Zheng , Jialin Mu , Xiaomeng Huang , Xi Wu

Forecasting the weather is an increasingly data intensive exercise. Numerical Weather Prediction (NWP) models are becoming more complex, with higher resolutions, and there are increasing numbers of different models in operation. While the…

应用统计 · 统计学 2021-03-17 Charlie Kirkwood , Theo Economou , Henry Odbert , Nicolas Pugeault

Numerical weather predictions (NWP) are systematically subject to errors due to the deterministic solutions used by numerical models to simulate the atmosphere. Statistical postprocessing techniques are widely used nowadays for NWP…

Designing a covariance function that represents the underlying correlation is a crucial step in modeling complex natural systems, such as climate models. Geospatial datasets at a global scale usually suffer from non-stationarity and…

机器学习 · 统计学 2015-07-10 Chintan A. Dalal , Vladimir Pavlovic , Robert E. Kopp

Accurate wind pattern modelling is crucial for various applications, including renewable energy, agriculture, and climate adaptation. In this paper, we introduce the wrapped Gaussian spatial process (WGSP), as well as the projected Gaussian…

应用统计 · 统计学 2023-11-13 Jacobus S. Blom , Priyanka Nagar , Andriette Bekker

Renewable energy projects, such as large offshore wind farms, are critical to achieving low-emission targets set by governments. Stochastic computer models allow us to explore future scenarios to aid decision making whilst considering the…

统计方法学 · 统计学 2021-12-07 Jack C. Kennedy , Daniel A. Henderson , Kevin J. Wilson

Accurate wind power forecasts depend on reliable wind speed forecasts. Numerical Weather Predictions (NWPs) utilize huge amounts of computing time, but still have rather low spatial and temporal resolution. However, stochastic wind speed…

应用统计 · 统计学 2015-09-10 Daniel Ambach , Carsten Croonenbroeck

Recent statistical postprocessing methods for wind speed forecasts have incorporated linear models and neural networks to produce more skillful probabilistic forecasts in the low-to-medium wind speed range. At the same time, these methods…

应用统计 · 统计学 2025-04-18 Simon Hakvoort , Bastien Francois , Kirien Whan , Sjoerd Dirksen
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