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Extreme events provide relevant insights into the dynamics of climate and their understanding is key for mitigating the impact of climate variability and climate change. By applying large deviation theory to a state-of-the-art Earth system…

Atmospheric and Oceanic Physics · Physics 2021-08-04 Vera Melinda Galfi , Valerio Lucarini

Accurate estimation of daily rainfall return levels associated with large return periods is needed for a number of hydrological planning purposes, including protective infrastructure, dams, and retention basins. This is especially relevant…

We propose a physics-constrained machine learning method-based on reservoir computing- to time-accurately predict extreme events and long-term velocity statistics in a model of turbulent shear flow. The method leverages the strengths of two…

Fluid Dynamics · Physics 2021-04-14 Nguyen Anh Khoa Doan , Wolfgang Polifke , Luca Magri

We introduce a novel deep learning approach that harnesses the power of generative artificial intelligence to enhance the accuracy of contextual forecasting in sewerage systems. By developing a diffusion-based model that processes…

Machine Learning · Computer Science 2025-06-11 Nicholas A. Pearson , Francesca Cairoli , Luca Bortolussi , Davide Russo , Francesca Zanello

In the hydrology field, time series forecasting is crucial for efficient water resource management, improving flood and drought control and increasing the safety and quality of life for the general population. However, predicting long-term…

Machine Learning · Computer Science 2023-12-19 Yanhong Li , Jack Xu , David C. Anastasiu

Detecting extreme events in large datasets is a major challenge in climate science research. Current algorithms for extreme event detection are build upon human expertise in defining events based on subjective thresholds of relevant…

Computer Vision and Pattern Recognition · Computer Science 2016-05-05 Yunjie Liu , Evan Racah , Prabhat , Joaquin Correa , Amir Khosrowshahi , David Lavers , Kenneth Kunkel , Michael Wehner , William Collins

Diffusion models have become a central tool in deep generative modeling, but standard formulations rely on a single network and a single diffusion schedule to transform a simple prior, typically a standard normal distribution, into the…

Machine Learning · Statistics 2025-12-29 Takuro Kutsuna

Aiming to estimate extreme precipitation forecast quantiles, we propose a nonparametric regression model that features a constant extreme value index. Using local linear quantile regression and an extrapolation technique from extreme value…

Methodology · Statistics 2019-03-06 Jasper Velthoen , Juan-Juan Cai , Geurt Jongbloed , Maurice Schmeits

When observing a phenomenon, severe cases or anomalies are often characterised by deviation from the expected data distribution. However, non-deviating data samples may also implicitly lead to severe outcomes. In the case of unsupervised…

Machine Learning · Computer Science 2020-05-18 Athanasios Davvetas , Iraklis A. Klampanos

Spatial maps of extreme precipitation are crucial in flood protection. With the aim of producing maps of precipitation return levels, we propose a novel approach to model a collection of spatially distributed time series where the…

Methodology · Statistics 2023-04-27 Federica Stolf , Antonio Canale

Rare weather and climate events, such as heat waves and floods, can bring tremendous social costs. Climate data is often limited in duration and spatial coverage, and climate forecasting has often turned to simulations of climate models to…

Methodology · Statistics 2020-05-18 Meagan Carney , Holger Kantz , Matthew Nicol

Rainfall-induced landslides pose a growing risk worldwide as climate change intensifies extreme rainfall events. To provide sufficient evacuation time, landslide early warning systems (LEWS) for real-time disaster monitoring must estimate…

Machine Learning · Computer Science 2026-05-19 Ren Ozeki , Hamada Rizk , Hirozumi Yamaguchi

Extreme value theory is concerned with probabilistic and statistical questions related to very high or very low values in sequences of random variables and in stochastic processes. The subject has a rich mathematical theory and also a long…

Applications · Statistics 2014-03-31 Ali Saeb

Deep learning offers promising capabilities for the statistical downscaling of climate and weather forecasts, with generative approaches showing particular success in capturing fine-scale precipitation patterns. However, most existing…

Machine Learning · Computer Science 2025-12-02 Paula Harder , Christian Lessig , Matthew Chantry , Francis Pelletier , David Rolnick

Accurate probabilistic weather forecasting demands both high accuracy and efficient uncertainty quantification, challenges that overburden both ensemble numerical weather prediction (NWP) and recent machine-learning methods. We introduce…

Machine Learning · Computer Science 2025-06-12 Yilin Zhuang , Karthik Duraisamy

Large ensembles of climate projections are essential for characterizing uncertainty in future climate and extreme weather events, yet computational constraints of numerical climate models limit ensemble sizes to a small number of…

Atmospheric and Oceanic Physics · Physics 2025-12-01 Francesco Immorlano , Elijah Tavares , Felix Draxler , Padhraic Smyth , Pierre Gentine , Stephan Mandt

Accurate short-term precipitation forecasting is critical for weather-sensitive decision-making in agriculture, transportation, and disaster response. Existing deep learning approaches often struggle to balance global structural consistency…

Computer Vision and Pattern Recognition · Computer Science 2026-02-16 Penghui Wen , Mengwei He , Patrick Filippi , Na Zhao , Feng Zhang , Thomas Francis Bishop , Zhiyong Wang , Kun Hu

To disentangle the complex non-stationary dependence structure of precipitation extremes over the entire contiguous U.S., we propose a flexible local approach based on factor copula models. Our sub-asymptotic spatial modeling framework…

Applications · Statistics 2019-03-26 Daniela Castro-Camilo , Raphaël Huser

Precipitation nowcasting, predicting future radar echo sequences from current observations, is a critical yet challenging task due to the inherently chaotic and tightly coupled spatio-temporal dynamics of the atmosphere. While recent…

Computer Vision and Pattern Recognition · Computer Science 2025-10-17 Thao Nguyen , Jiaqi Ma , Fahad Shahbaz Khan , Souhaib Ben Taieb , Salman Khan

Accurate and timely forecasting of heavy rainfall remains a critical challenge for modern society. Precipitation exhibits a highly imbalanced distribution: most observations record no or light rain, while heavy rainfall events are rare.…

Machine Learning · Computer Science 2025-10-01 Zenghui Huang , Ting Shu , Zhonglei Wang , Yang Lu , Yan Yan , Wei Zhong , Hanzi Wang