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Quantifying changes in the probability and magnitude of extreme flooding events is key to mitigating their impacts. While hydrodynamic data are inherently spatially dependent, traditional spatial models such as Gaussian processes are poorly…

Methodology · Statistics 2024-05-06 Reetam Majumder , Brian J. Reich , Benjamin A. Shaby

Spatial generalized linear mixed-effects models are popularly used to analyze spatially indexed univariate responses. However, with modern technology, it is common to observe vector-valued mixed-type responses, e.g., a combination of…

Methodology · Statistics 2026-04-23 Arghya Mukherjee , Arnab Hazra , Dootika Vats

High-resolution precipitation forecasts are crucial for providing accurate weather prediction and supporting effective responses to extreme weather events. Traditional numerical models struggle with stochastic subgrid-scale processes, while…

Machine Learning · Computer Science 2025-01-07 Shuangshuang He , Hongli Liang , Yuanting Zhang , Xingyuan Yuan

In this work, we propose the Generative Latent Flow (GLF), an algorithm for generative modeling of the data distribution. GLF uses an Auto-encoder (AE) to learn latent representations of the data, and a normalizing flow to map the…

Computer Vision and Pattern Recognition · Computer Science 2019-09-24 Zhisheng Xiao , Qing Yan , Yali Amit

Various computational challenges arise when applying Bayesian inference approaches to complex hierarchical models. Sampling-based inference methods, such as Markov Chain Monte Carlo strategies, are renowned for providing accurate results…

Methodology · Statistics 2022-03-29 Cristian Chiuchiolo , Janet van Niekerk , Håvard Rue

Accurate and reliable probabilistic forecasts of hydrological quantities like runoff or water level are beneficial to various areas of society. Probabilistic state-of-the-art hydrological ensemble prediction models are usually driven with…

Applications · Statistics 2020-01-17 Sándor Baran , Stephan Hemri , Mehrez El Ayari

The task of simplifying the complex spatio-temporal variables associated with climate modeling is of utmost importance and comes with significant challenges. In this research, our primary objective is to tailor clustering techniques to…

Applications · Statistics 2023-11-21 Alexis Boulin , Elena Di Bernardino , Thomas Laloë , Gwladys Toulemonde

Forecasting extreme precipitation is essential yet challenging due to its rarity and complexity. We develop a large deviation framework to estimate the return times of extreme precipitation events. We first find that the Landau…

Statistical Mechanics · Physics 2026-04-14 Haotian Xie , Haoxian Liu , Jingfang Fan , Ying Tang

We propose a method for estimating the posterior distribution of a standard geostatistical model. After choosing the model formulation and specifying a prior, we use normal mixture densities to approximate the posterior distribution. The…

Methodology · Statistics 2014-09-10 Zepu Zhang

Mixed modeling of extreme values and random effects is relatively unexplored topic. Computational difficulties in using the maximum likelihood method for mixed models and the fact that maximum likelihood method uses available data and does…

Applications · Statistics 2019-07-05 Ali Reza Fotouhi

Max-stable processes are increasingly widely used for modelling complex extreme events, but existing fitting methods are computationally demanding, limiting applications to a few dozen variables. $r$-Pareto processes are mathematically…

Methodology · Statistics 2017-06-14 Raphaël de Fondeville , Anthony C. Davison

Modeling spatial processes that exhibit both smooth and rough features poses a significant challenge. This is especially true in fields where complex physical variables are observed across spatial domains. Traditional spatial techniques,…

Methodology · Statistics 2024-10-30 Matthew Hofkes , Douglas Nychka

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

Many environmental processes such as rainfall, wind or snowfall are inherently spatial and the modelling of extremes has to take into account that feature. In addition, environmental processes are often attached with an angle, e.g., wind…

Methodology · Statistics 2024-07-04 Gaspard Tamagny , Mathieu Ribatet

Multi-model ensemble analysis integrates information from multiple climate models into a unified projection. However, existing integration approaches based on model averaging can dilute fine-scale spatial information and incur bias from…

Applications · Statistics 2023-04-12 Trevor Harris , Bo Li , Ryan Sriver

Latent Gaussian models (LGMs) are perhaps the most commonly used class of models in statistical applications. Nevertheless, in areas ranging from longitudinal studies in biostatistics to geostatistics, it is easy to find datasets that…

Methodology · Statistics 2022-11-22 Rafael Cabral , David Bolin , Håvard Rue

Extreme precipitation causes severe societal and economic damage, and weather control has long been discussed as a potential mitigation strategy. However, to the best of our knowledge, perturbation-based interventions for weather control…

Machine Learning · Computer Science 2026-05-15 Ayumu Ueyama , Kazuhiko Kawamoto , Hiroshi Kera

To account for measurement error (ME) in explanatory variables, Bayesian approaches provide a flexible framework, as expert knowledge about unobserved covariates can be incorporated in the prior distributions. However, given the analytic…

Methodology · Statistics 2013-08-19 Stefanie Muff , Andrea Riebler , Havard Rue , Philippe Saner , Leonhard Held

Recent advances in data collection technologies have led to the emergence of massive spatial datasets, with measurements obtained at millions of spatial locations. Geostatistical models typically employ Gaussian processes (GPs) to capture…

Methodology · Statistics 2026-05-18 Nicholas Rios , Ben Seiyon Lee

Extreme weather events epitomize high cost: to society through their physical impacts, and to computer servers that simulate them to assess risk and advance physical understanding. It costs hundreds of simulation years to sample a few…

Atmospheric and Oceanic Physics · Physics 2026-04-14 Justin Finkel , Paul A. O'Gorman