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Loss reserving generally focuses on identifying a single model that can generate superior predictive performance. However, different loss reserving models specialise in capturing different aspects of loss data. This is recognised in…

Methodology · Statistics 2024-06-04 Benjamin Avanzi , Yanfeng Li , Bernard Wong , Alan Xian

Ensemble learning is a mainstay in modern data science practice. Conventional ensemble algorithms assign to base models a set of deterministic, constant model weights that (1) do not fully account for individual models' varying accuracy…

Methodology · Statistics 2019-04-02 Jeremiah Zhe Liu , John Paisley , Marianthi-Anna Kioumourtzoglou , Brent A. Coull

Accurate prediction of extreme weather events remains a major challenge for artificial intelligence-based weather prediction systems. While deterministic models such as FuXi, GraphCast, and SFNO have achieved competitive forecast skill…

Atmospheric and Oceanic Physics · Physics 2026-05-01 Rodrigo Almeida , Noelia Otero , Miguel-Ángel Fernández-Torres , Jackie Ma

The recent developments in the machine learning domain have enabled the development of complex multivariate probabilistic forecasting models. Therefore, it is pivotal to have a precise evaluation method to gauge the performance and…

Machine Learning · Computer Science 2023-02-01 Alireza Koochali , Peter Schichtel , Andreas Dengel , Sheraz Ahmed

We present a probabilistic data-driven weather model capable of providing an ensemble of high spatial resolution realizations of 87 variables at arbitrary forecast length and ensemble size. The model uses a stretched grid, dedicating 2.5 km…

This study introduces ReSA-ConvLSTM, an artificial intelligence (AI) framework for systematic bias correction in numerical weather prediction (NWP). We propose three innovations by integrating dynamic climatological normalization, ConvLSTM…

Machine Learning · Computer Science 2025-04-23 Xiao Zhou , Yuze Sun , Jie Wu , Xiaomeng Huang

The recent revolution in data-driven methods for weather forecasting has lead to a fragmented landscape of complex, bespoke architectures and training strategies, obscuring the fundamental drivers of forecast accuracy. Here, we demonstrate…

One essential component of operational space weather forecasting is the prediction of solar flares. With a multitude of flare forecasting methods now available online it is still unclear which of these methods performs best, and none are…

Space Physics · Physics 2020-08-04 Jordan A. Guerra , Sophie A. Murray , D. Shaun Bloomfield , Peter T. Gallagher

Long-range ensemble forecasts are typically verified as anomalies with respect to a lead-time dependent climatological mean to remove the influence of systematic biases. However, common methods for calculating anomalies result in…

Atmospheric and Oceanic Physics · Physics 2025-06-11 Christopher D. Roberts , Martin Leutbecher

The continuous ranked probability score (crps) is the most commonly used scoring rule in the evaluation of probabilistic forecasts for real-valued outcomes. To assess and rank forecasting methods, researchers compute the mean crps over…

Methodology · Statistics 2023-11-27 Sebastian Arnold , Eva-Maria Walz , Johanna Ziegel , Tilmann Gneiting

Multivariate Gaussian (MVG) distributions are central to modeling correlated continuous variables in probabilistic forecasting. Neural forecasting models typically parameterize the mean vector and covariance matrix of the distribution using…

Machine Learning · Statistics 2025-02-03 Vincent Zhihao Zheng , Lijun Sun

Machine learning (ML)-based weather models have rapidly risen to prominence due to their greater accuracy and speed than traditional forecasts based on numerical weather prediction (NWP), recently outperforming traditional ensembles in…

Random forest is a popular prediction approach for handling high dimensional covariates. However, it often becomes infeasible to interpret the obtained high dimensional and non-parametric model. Aiming for obtaining an interpretable…

Methodology · Statistics 2020-05-12 Jasper Velthoen , Juan-Juan Cai , Geurt Jongbloed

Predictions of the uncertainty associated with extreme events are a vital component of any prediction system for such events. Consequently, the prediction system ought to be probabilistic in nature, with the predictions taking the form of…

Applications · Statistics 2012-10-26 Petra Friederichs , Thordis L. Thorarinsdottir

Capturing the uncertainty in probabilistic wind power forecasts is challenging, especially when uncertain input variables, such as the weather, play a role. Since ensemble weather predictions aim to capture the uncertainty in the weather…

Applications · Statistics 2022-04-26 Kaleb Phipps , Sebastian Lerch , Maria Andersson , Ralf Mikut , Veit Hagenmeyer , Nicole Ludwig

Probabilistic weather forecasts from ensemble systems require statistical postprocessing to yield calibrated and sharp predictive distributions. This paper presents an area-covering postprocessing method for ensemble precipitation…

Applications · Statistics 2020-10-13 Lea Friedli , David Ginsbourger , Jonas Bhend

Ensemble forecasting is a technique devised to palliate sensitivity to initial conditions in nonlinear dynamical systems. The basic idea to avoid this sensitivity is to run the model many times under several slightly-different initial…

Atmospheric and Oceanic Physics · Physics 2015-06-26 F J Tapiador , R Verdejo

Climate predictions are only meaningful if the associated uncertainty is reliably estimated. A standard practice for providing climate projections is to use an ensemble of projections. The ensemble mean serves as the projection while the…

Atmospheric and Oceanic Physics · Physics 2019-04-16 Ehud Strobach , Golan Bel

Ensemble learning is a mainstay in modern data science practice. Conventional ensemble algorithms assigns to base models a set of deterministic, constant model weights that (1) do not fully account for variations in base model accuracy…

Machine Learning · Computer Science 2018-12-20 Jeremiah Zhe Liu , John Paisley , Marianthi-Anna Kioumourtzoglou , Brent A. Coull

Ensemble forecasting is, so far, the most successful approach to produce relevant forecasts with an estimation of their uncertainty. The main limitations of ensemble forecasting are the high computational cost and the difficulty to capture…

Machine Learning · Computer Science 2022-12-21 Maximiliano A. Sacco , Juan J. Ruiz , Manuel Pulido , Pierre Tandeo