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Consider the problem of imputing missing values in a dataset. One the one hand, conventional approaches using iterative imputation benefit from the simplicity and customizability of learning conditional distributions directly, but suffer…

Machine Learning · Statistics 2022-06-17 Daniel Jarrett , Bogdan Cebere , Tennison Liu , Alicia Curth , Mihaela van der Schaar

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…

With the recent development of new geometric and angular-radial frameworks for multivariate extremes, reliably simulating from angular variables in moderate-to-high dimensions is of increasing importance. Empirical approaches have the…

Machine Learning · Statistics 2026-01-01 Jakob Benjamin Wessel , Callum J. R. Murphy-Barltrop , Emma S. Simpson

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

Policy targets evolve faster than the Coupled Model Intercomparison Project cycles, complicating adaptation and mitigation planning that must often contend with outdated projections. Climate model output emulators address this gap by…

Atmospheric and Oceanic Physics · Physics 2026-04-14 Shahine Bouabid , Andre Nogueira Souza , Raffaele Ferrari

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

Complex numerical weather prediction models incorporate a variety of physical processes, each described by multiple alternative physical schemes with specific parameters. The selection of the physical schemes and the choice of the…

Numerical Analysis · Computer Science 2018-02-23 Azam Moosavi , Vishwas Rao , Adrian Sandu

A common assumption in causal modeling posits that the data is generated by a set of independent mechanisms, and algorithms should aim to recover this structure. Standard unsupervised learning, however, is often concerned with training a…

Machine Learning · Computer Science 2019-03-05 Francesco Locatello , Damien Vincent , Ilya Tolstikhin , Gunnar Rätsch , Sylvain Gelly , Bernhard Schölkopf

Accurate forecasts of extreme wind speeds are of high importance for many applications. Such forecasts are usually generated by ensembles of numerical weather prediction (NWP) models, which however can be biased and have errors in…

Machine Learning · Computer Science 2025-08-12 Jakob Benjamin Wessel , Christopher A. T. Ferro , Gavin R. Evans , Frank Kwasniok

Uncertainty in the prediction of future weather is commonly assessed through the use of forecast ensembles that employ a numerical weather prediction model in distinct variants. Statistical postprocessing can correct for biases in the…

Applications · Statistics 2016-06-16 Annette Möller , Thordis L. Thorarinsdottir , Alex Lenkoski , Tilmann Gneiting

Climate models encapsulate our best understanding of the Earth system, allowing research to be conducted on its future under alternative assumptions of how human-driven climate forces are going to evolve. An important application of climate…

Atmospheric and Oceanic Physics · Physics 2021-05-14 Alexis Ayala , Christopher Drazic , Brian Hutchinson , Ben Kravitz , Claudia Tebaldi

Despite continuous improvements, precipitation forecasts are still not as accurate and reliable as those of other meteorological variables. A major contributing factor to this is that several key processes affecting precipitation…

Atmospheric and Oceanic Physics · Physics 2022-11-09 Lucy Harris , Andrew T. T. McRae , Matthew Chantry , Peter D. Dueben , Tim N. Palmer

Unsupervised dependency parsing aims to learn a dependency parser from unannotated sentences. Existing work focuses on either learning generative models using the expectation-maximization algorithm and its variants, or learning…

Computation and Language · Computer Science 2017-09-26 Yong Jiang , Wenjuan Han , Kewei Tu

Weather forecasting presents several challenges, including the chaotic nature of the atmosphere and the high computational demands of numerical weather prediction models. To achieve the most accurate predictions, the ideal scenario involves…

Applications · Statistics 2025-06-19 Sándor Baran , Mária Lakatos

We describe various moment-based ensemble interpretation models for the construction of probabilistic temperature forecasts from ensembles. We apply the methods to one year of medium range ensemble forecasts and perform in and out of sample…

Atmospheric and Oceanic Physics · Physics 2007-05-23 Stephen Jewson

Quantifying forecast uncertainty is a key aspect of state-of-the-art numerical weather prediction and data assimilation systems. Ensemble-based data assimilation systems incorporate state-dependent uncertainty quantification based on…

Atmospheric and Oceanic Physics · Physics 2023-05-17 Maximiliano A. Sacco , Manuel Pulido , Juan J. Ruiz , Pierre Tandeo

The Gaussian process (GP) regression model is a widely employed surrogate modeling technique for computer experiments, offering precise predictions and statistical inference for the computer simulators that generate experimental data.…

Methodology · Statistics 2024-04-02 Lulu Kang , Yuanxing Cheng , Yiwei Wang , Chun Liu

We introduce an ensemble learning post-processing methodology for probabilistic hydrological modelling. This methodology generates numerous point predictions by applying a single hydrological model, yet with different parameter values drawn…

Methodology · Statistics 2020-01-07 Georgia Papacharalampous , Demetris Koutsoyiannis , Alberto Montanari

Landscapes are meaningful ecological units that strongly depend on the environmental conditions. Such dependencies between landscapes and the environment have been noted since the beginning of Earth sciences and cast into conceptual models…

Computer Vision and Pattern Recognition · Computer Science 2019-09-27 Christian Requena-Mesa , Markus Reichstein , Miguel Mahecha , Basil Kraft , Joachim Denzler

Conditional Neural Processes (CNPs; Garnelo et al., 2018a) are meta-learning models which leverage the flexibility of deep learning to produce well-calibrated predictions and naturally handle off-the-grid and missing data. CNPs scale to…

Machine Learning · Statistics 2022-06-14 Stratis Markou , James Requeima , Wessel P. Bruinsma , Anna Vaughan , Richard E. Turner
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