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Multilevel Monte Carlo can efficiently compute statistical estimates of discretized random variables, for a given error tolerance. Traditionally, only a certain statistic is computed from a particular implementation of multilevel Monte…

Methodology · Statistics 2017-08-02 Alastair Gregory , Colin Cotter

Numerical weather prediction (NWP) models often underperform compared to simpler climatology-based precipitation forecasts in northern tropical Africa, even after statistical postprocessing. AI-based forecasting models show promise but have…

Atmospheric and Oceanic Physics · Physics 2024-08-30 Athul Rasheeda Satheesh , Peter Knippertz , Andreas H. Fink

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

Modeling weather and climate is an essential endeavor to understand the near- and long-term impacts of climate change, as well as inform technology and policymaking for adaptation and mitigation efforts. In recent years, there has been a…

Machine Learning · Computer Science 2023-07-06 Tung Nguyen , Jason Jewik , Hritik Bansal , Prakhar Sharma , Aditya Grover

The accurate prediction of precipitation is important to allow for reliable warnings of flood or drought risk in a changing climate. However, to make trust-worthy predictions of precipitation, at a local scale, is one of the most difficult…

Computation · Statistics 2021-02-26 Sherman Lo , Peter Watson , Peter Dueben , Ritabrata Dutta

Sea ice plays a critical role in the global climate system and maritime operations, making timely and accurate classification essential. However, traditional manual methods are time-consuming, costly, and have inherent biases. Automating…

Computer Vision and Pattern Recognition · Computer Science 2025-03-25 Samira Alkaee Taleghan , Andrew P. Barrett , Walter N. Meier , Farnoush Banaei-Kashani

Climate change is increasing the occurrence of extreme precipitation events, threatening infrastructure, agriculture, and public safety. Ensemble prediction systems provide probabilistic forecasts but exhibit biases and difficulties in…

Machine Learning · Computer Science 2025-04-09 Christopher Bülte , Sohir Maskey , Philipp Scholl , Jonas von Berg , Gitta Kutyniok

Tabular foundation models such as TabPFN and TabICL already produce full predictive distributions, yet prevailing regression benchmarks evaluate them almost exclusively via point-estimate metrics (RMSE, $R^2$). This discards precisely the…

Artificial Intelligence · Computer Science 2026-05-05 Jonas Landsgesell , Pascal Knoll , Tizian Wenzel

The rapid adoption of machine learning (ML) in domain sciences necessitates best practices and standardized benchmarking for performance evaluation. We present Matbench Discovery, an evaluation framework for ML energy models, applied as…

Forecasting weather and climate events is crucial for making appropriate measures to mitigate environmental hazards and minimize losses. However, existing environmental forecasting research focuses narrowly on predicting numerical…

Machine Learning · Computer Science 2025-02-18 Haobo Li , Zhaowei Wang , Jiachen Wang , Yueya Wang , Alexis Kai Hon Lau , Huamin Qu

Prompt and accurate precipitation forecast is very important for development management of regional water resource, flood disaster prevention and people's daily activity and production plan; however, non-linear and nonstationary…

Neural and Evolutionary Computing · Computer Science 2019-06-24 Hongya Li , Yuzhong Peng , Chuyan Deng , Yonghua Pan , Daoqing Gong , Hao Zhang

Bayesian inference provides a principled probabilistic framework for quantifying uncertainty by updating beliefs based on prior knowledge and observed data through Bayes' theorem. In Bayesian deep learning, neural network weights are…

Machine Learning · Computer Science 2024-10-22 Yijie Zhang

Machine learning-based Deepfake detection models have achieved impressive results on benchmark datasets, yet their performance often deteriorates significantly when evaluated on out-of-distribution data. In this work, we investigate an…

Computer Vision and Pattern Recognition · Computer Science 2025-07-09 Haroon Wahab , Hassan Ugail , Lujain Jaleel

Soil moisture is an important variable that determines floods, vegetation health, agriculture productivity, and land surface feedbacks to the atmosphere, etc. Accurately modeling soil moisture has important implications in both weather and…

Machine Learning · Computer Science 2020-11-30 Kuai Fang , Chaopeng Shen , Daniel Kifer

Climate models have been key for assessing the impact of climate change and simulating future climate scenarios. The machine learning (ML) community has taken an increased interest in supporting climate scientists' efforts on various tasks…

To address the uncertainty in outputs of numerical weather prediction (NWP) models, ensembles of forecasts are used. To obtain such an ensemble of forecasts the NWP model is run multiple times, each time with different formulations and/or…

Applications · Statistics 2016-05-25 Annette Möller , Jürgen Groß

We present an operations-ready multi-model ensemble weather forecasting system which uses hybrid data-driven weather prediction models coupled with the European Centre for Medium-range Weather Forecasts (ECMWF) ocean model to predict global…

Atmospheric and Oceanic Physics · Physics 2024-03-26 Jonathan A. Weyn , Divya Kumar , Jeremy Berman , Najeeb Kazmi , Sylwester Klocek , Pete Luferenko , Kit Thambiratnam

The beginning of the rainy season and the occurrence of dry spells in West Africa is notoriously difficult to predict, however these are the key indicators farmers use to decide when to plant crops, having a major influence on their overall…

Applications · Statistics 2026-02-11 Colin Bobocea , Yves Atchadé

Sub-seasonal weather forecasts are becoming increasingly important for a range of socio-economic activities. However, the predictive ability of physical weather models is very limited on these time scales. We propose several post-processing…

Atmospheric and Oceanic Physics · Physics 2023-06-29 Nina Horat , Sebastian Lerch

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…

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