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This paper presents an innovative approach to extreme precipitation nowcasting by employing Transformer-based generative models, namely NowcastingGPT with Extreme Value Loss (EVL) regularization. Leveraging a comprehensive dataset from the…

Machine Learning · Computer Science 2024-03-07 Cristian Meo , Ankush Roy , Mircea Lică , Junzhe Yin , Zeineb Bou Che , Yanbo Wang , Ruben Imhoff , Remko Uijlenhoet , Justin Dauwels

We study the problem of selecting features associated with extreme values in high dimensional linear regression. Normally, in linear modeling problems, the presence of abnormal extreme values or outliers is considered an anomaly which…

Methodology · Statistics 2021-06-16 Andersen Chang , Minjie Wang , Genevera Allen

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

Spatiotemporal prediction of event data is a challenging task with a long history of research. While recent work in spatiotemporal prediction has leveraged deep sequential models that substantially improve over classical approaches, these…

Machine Learning · Computer Science 2021-10-06 Yi Sui , Ga Wu , Scott Sanner

We develop a flexible spline-based Bayesian hidden Markov model stochastic weather generator to statistically model daily precipitation over time by season at individual locations. The model naturally accounts for missing data (considered…

Applications · Statistics 2022-07-19 Christopher J. Paciorek

Selecting key variables from high-dimensional data is increasingly important in the era of big data. Sparse regression serves as a powerful tool for this purpose by promoting model simplicity and explainability. In this work, we revisit a…

Machine Learning · Computer Science 2025-09-09 Hyungjoon Soh , Dongha Lee , Vipul Periwal , Junghyo Jo

Local climate information is crucial for impact assessment and decision-making, yet coarse global climate simulations cannot capture small-scale phenomena. Current statistical downscaling methods infer these phenomena as temporally…

Machine Learning · Computer Science 2025-09-24 Jonathan Schmidt , Luca Schmidt , Felix Strnad , Nicole Ludwig , Philipp Hennig

Mitigating the risk arising from extreme events is a fundamental goal with many applications, such as the modelling of natural disasters, financial crashes, epidemics, and many others. To manage this risk, a vital step is to be able to…

Machine Learning · Computer Science 2021-03-16 Siddharth Bhatia , Arjit Jain , Bryan Hooi

The masses of data now available have opened up the prospect of discovering weak signals using machine-learning algorithms, with a view to predictive or interpretation tasks. As this survey of recent results attempts to show, bringing…

Statistics Theory · Mathematics 2026-05-06 Stephan Clémençon , Anne Sabourin

A new stochastic model for daily precipitation occurrence processes observed at multiple locations is developed. The modeling concept is to use the indicator function and the elliptical shape of multivariate Gaussian distribution to…

Applications · Statistics 2020-09-02 Hsien-Wei Chen

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

Recent developments in extreme value statistics have established the so-called geometric approach as a powerful modelling tool for multivariate extremes. We tailor these methods to the case of spatial modelling and examine their efficacy at…

Methodology · Statistics 2026-02-20 Lydia Kakampakou , Jennifer L. Wadsworth

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

We propose a novel strategy for multivariate extreme value index estimation. In applications such as finance, volatility and risk present in the components of a multivariate time series are often driven by the same underlying factors, such…

Statistics Theory · Mathematics 2020-03-24 Joni Virta , Niko Lietzén , Lauri Viitasaari , Pauliina Ilmonen

Large, multi-dimensional spatio-temporal datasets are omnipresent in modern science and engineering. An effective framework for handling such data are Gaussian process deep generative models (GP-DGMs), which employ GP priors over the latent…

Machine Learning · Statistics 2020-10-26 Matthew Ashman , Jonathan So , Will Tebbutt , Vincent Fortuin , Michael Pearce , Richard E. Turner

Large climate-model ensembles are computationally expensive; yet many downstream analyses would benefit from additional, statistically consistent realizations of spatiotemporal climate variables. We study a generative modeling approach for…

Machine Learning · Computer Science 2026-01-06 Jacquelyn Shelton , Przemyslaw Polewski , Alexander Robel , Matthew Hoffman , Stephen Price

This paper presents a novel learning based framework for predicting power outages caused by extreme events. The proposed approach targets low-probability high-consequence outage scenarios and leverages a comprehensive set of features…

Machine Learning · Computer Science 2026-02-11 Nina Fatehi , Antar Kumar Biswas , Masoud H. Nazari

Accurate time series forecasting is crucial for optimizing resource allocation, industrial production, and urban management, particularly with the growth of cyber-physical and IoT systems. However, limited training sample availability in…

Machine Learning · Computer Science 2025-06-24 Yunyao Cheng , Chenjuan Guo , Kaixuan Chen , Kai Zhao , Bin Yang , Jiandong Xie , Christian S. Jensen , Feiteng Huang , Kai Zheng

Extremal graphical models encode the conditional independence structure of multivariate extremes and provide a powerful tool for quantifying the risk of rare events. Prior work on learning these graphs from data has focused on the setting…

Methodology · Statistics 2025-04-15 Sebastian Engelke , Armeen Taeb

Short-term (0-24 hours) precipitation forecasting is highly valuable to socioeconomic activities and public safety. However, the highly complex evolution patterns of precipitation events, the extreme imbalance between precipitation and…

Machine Learning · Computer Science 2026-03-30 Shuangliang Li , Siwei Li , Li Li , Weijie Zou , Jie Yang , Maolin Zhang
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