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Extreme environmental events frequently exhibit spatial and temporal dependence. These data are often modeled using max stable processes (MSPs). MSPs are computationally prohibitive to fit for as few as a dozen observations, with supposed…

Methodology · Statistics 2022-05-02 Emily C. Hector , Brian J. Reich

Earth's temperature variability can be partitioned into internal and externally-forced components. Yet, underlying mechanisms and their relative contributions remain insufficiently understood, especially on decadal to centennial timescales.…

Atmospheric and Oceanic Physics · Physics 2023-02-01 Maybritt Schillinger , Beatrice Ellerhoff , Robert Scheichl , Kira Rehfeld

Understanding how droughts may change in the future is essential for anticipating and mitigating their adverse impacts. However, robust climate projections require large amounts of high-resolution climate simulations, particularly for…

Atmospheric and Oceanic Physics · Physics 2025-09-29 Hamish Lewis , Neelesh Rampal , Peter B. Gibson , Luke J. Harrington , Chiara M. Holgate , Anna Ukkola , Nicola M. Maher

We theoretically study long-term trends in the statistics of record-breaking daily temperatures and validate these predictions using Monte Carlo simulations and data from the city of Philadelphia, for which 126 years of daily temperature…

Data Analysis, Statistics and Probability · Physics 2007-05-23 S. Redner , Mark R. Petersen

The spatio-temporal relations of impacts of extreme events and their drivers in climate data are not fully understood and there is a need of machine learning approaches to identify such spatio-temporal relations from data. The task,…

Computer Vision and Pattern Recognition · Computer Science 2024-11-01 Mohamad Hakam Shams Eddin , Juergen Gall

Robustly modeling the inner edge of the habitable zone is essential for determining the most promising potentially habitable exoplanets for atmospheric characterization. Global climate models (GCMs) have become the standard tool for…

Earth and Planetary Astrophysics · Physics 2019-12-25 Jun Yang , Jeremy Leconte , Eric T. Wolf , Timonthy Merlis , Daniel D. B. Koll , Francois Forget , Dorian S. Abbot

The generalized extreme value (GEV) distribution is a popular model for analyzing and forecasting extreme weather data. To increase prediction accuracy, spatial information is often pooled via a latent Gaussian process (GP) on the GEV…

Methodology · Statistics 2024-05-20 Meixi Chen , Reza Ramezan , Martin Lysy

Modelling and forecasting the occurrence of extreme events is especially difficult when the event process is nonstationary, with changes in both the rate at which extremes occur and the magnitude of the extremes when they occur. We approach…

Methodology · Statistics 2026-05-06 Gordon J. Ross , Dean Markwick

We investigate the changing nature of the frequency, magnitude and spatial extent of extreme temperatures in Ireland from 1931 to 2022. We develop an extreme value model that captures spatial and temporal non-stationarity in extreme daily…

Methodology · Statistics 2023-04-03 Dáire Healy , Jonathan Tawn , Peter Thorne , Andrew Parnell

Earth System Models (ESMs) are the primary tools for investigating future Earth system states at time scales from decades to centuries, especially in response to anthropogenic greenhouse gas release. State-of-the-art ESMs can reproduce the…

Machine Learning · Computer Science 2023-06-05 Maximilian Gelbrecht , Alistair White , Sebastian Bathiany , Niklas Boers

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

A new method is proposed for modelling the yearly maxima of sub-daily precipitation, with the aim of producing spatial maps of return level estimates. Yearly precipitation maxima are modelled using a Bayesian hierarchical model with a…

Applications · Statistics 2022-09-23 Silius M. Vandeskog , Sara Martino , Daniela Castro-Camilo , Håvard Rue

Extreme precipitation events occurring over large spatial domains pose substantial threats to societies because they can trigger compound flooding, landslides, and infrastructure failures across wide areas. A hybrid framework for spatial…

Applications · Statistics 2025-09-15 Zimu Wang , Yifan Wu , Daning Bi

Gridded data products, for example interpolated daily measurements of precipitation from weather stations, are commonly used as a convenient substitute for direct observations because these products provide a spatially and temporally…

Several large scale circulation patterns have been identified in relation to extreme Northern Hemisphere summer heatwaves. Three main ones are a double jet over Eurasia, a positive phase of the summer northern annular mode, and a…

Atmospheric and Oceanic Physics · Physics 2026-03-10 Valeria Mascolo , Francesco Ragone , Nili Harnik , Freddy Bouchet

In this study, we begin a comprehensive characterisation of temperature extremes in Ireland for the period 1981-2010. We produce return levels of anomalies of daily maximum temperature extremes for an area over Ireland, for the 30-year…

Applications · Statistics 2019-06-18 John O'Sullivan , Conor Sweeney , Andrew C. Parnell

The coarse spatial resolution of gridded climate models, such as general circulation models, limits their direct use in projecting socially relevant variables like extreme precipitation. Most downscaling methods estimate the conditional…

Atmospheric and Oceanic Physics · Physics 2026-01-06 Louise Largeau , Tom Beucler , David Leutwyler , Gregoire Mariethoz , Valerie Chavez-Demoulin , Erwan Koch

To improve the identification of potential anomaly patterns in complex user behavior, this paper proposes an anomaly detection method based on a deep mixture density network. The method constructs a Gaussian mixture model parameterized by a…

Machine Learning · Computer Science 2025-05-20 Lu Dai , Wenxuan Zhu , Xuehui Quan , Renzi Meng , Sheng Chai , Yichen Wang

The global mean surface temperature is widely studied to monitor climate change. A current debate centers around whether there has been a recent (post-1970s) surge/acceleration in the warming rate. This paper addresses whether an…

Applications · Statistics 2024-03-07 Claudie Beaulieu , Colin Gallagher , Rebecca Killick , Robert Lund , Xueheng Shi

In recent environmental studies extreme events have a great impact. The yearly and monthly maxima of environment related indices can be analysed by the tools of extreme value theory. For instance, the monthly maxima of the fire weather…

Methodology · Statistics 2020-03-20 László Németh , Zuzana Hübnerová , András Zempléni