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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…

统计方法学 · 统计学 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…

统计方法学 · 统计学 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…

机器学习 · 计算机科学 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…

计算机视觉与模式识别 · 计算机科学 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…

统计方法学 · 统计学 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…

应用统计 · 统计学 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…

应用统计 · 统计学 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…

统计力学 · 物理学 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…

统计方法学 · 统计学 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…

应用统计 · 统计学 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…

统计方法学 · 统计学 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,…

统计方法学 · 统计学 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…

机器学习 · 计算机科学 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…

统计方法学 · 统计学 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…

应用统计 · 统计学 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…

统计方法学 · 统计学 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…

机器学习 · 计算机科学 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…

统计方法学 · 统计学 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…

统计方法学 · 统计学 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…

大气与海洋物理 · 物理学 2026-04-14 Justin Finkel , Paul A. O'Gorman