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In this chapter, we show how to efficiently model high-dimensional extreme peaks-over-threshold events over space in complex non-stationary settings, using extended latent Gaussian Models (LGMs), and how to exploit the fitted model in…

Methodology · Statistics 2021-10-07 Arnab Hazra , Raphaël Huser , Árni V. Jóhannesson

Study Region: Goslar and G\"ottingen, Lower Saxony, Germany. Study Focus: In July 2017, the cities of Goslar and G\"ottingen experienced severe flood events characterized by short warning time of only 20 minutes, resulting in extensive…

Image and Video Processing · Electrical Eng. & Systems 2026-02-04 Sakshi Dhankhar , Stefan Wittek , Hamidreza Eivazi , Andreas Rausch

Bayesian inference tasks continue to pose a computational challenge. This especially holds for spatial-temporal modeling where high-dimensional latent parameter spaces are ubiquitous. The methodology of integrated nested Laplace…

Computation · Statistics 2023-03-28 Lisa Gaedke-Merzhäuser , Elias Krainski , Radim Janalik , Håvard Rue , Olaf Schenk

The integrated nested Laplace approximation (INLA) method has become a popular approach for computationally efficient approximate Bayesian computation. In particular, by leveraging sparsity in random effect precision matrices, INLA is…

Methodology · Statistics 2024-07-02 Finn Lindgren , Fabian Bachl , Janine Illian , Man Ho Suen , Håvard Rue , Andrew E. Seaton

Extreme precipitation events with large spatial extents may have more severe impacts than localized events as they can lead to widespread flooding. It is debated how climate change may affect the spatial extent of precipitation extremes,…

Methodology · Statistics 2022-12-07 Peng Zhong , Manuela Brunner , Thomas Opitz , Raphaël Huser

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

Coming up with Bayesian models for spatial data is easy, but performing inference with them can be challenging. Writing fast inference code for a complex spatial model with realistically-sized datasets from scratch is time-consuming, and if…

There is a great need to accurately predict short-term precipitation, which has socioeconomic effects such as agriculture and disaster prevention. Recently, the forecasting models have employed multi-source data as the multi-modality input,…

Atmospheric and Oceanic Physics · Physics 2024-09-12 Min Chen , Hao Yang , Shaohan Li , Xiaolin Qin

Accurate modeling of daily rainfall, encompassing both dry and wet days as well as extreme precipitation events, is critical for robust hydrological and climatological analyses. This study proposes a zero-inflated extended generalized…

Applications · Statistics 2025-10-01 Aamar Abbas , Touqeer Ahmad , Ishfaq Ahmad

Modeling a precipitation field is challenging due to its intermittent and highly scale-dependent nature. Motivated by the features of high-frequency precipitation data from a network of rain gauges, we propose a threshold space-time $t$…

Applications · Statistics 2016-02-10 Ying Sun , Michael L. Stein

In environmental science applications, extreme events frequently exhibit a complex spatio-temporal structure, which is difficult to describe flexibly and estimate in a computationally efficient way using state-of-art parametric…

Methodology · Statistics 2022-12-22 Marco Oesting , Raphaël Huser

Statistical models for landslide hazard enable mapping of risk factors and landslide occurrence intensity by using geomorphological covariates available at high spatial resolution. However, the spatial distribution of the triggering event…

Methodology · Statistics 2020-06-16 Thomas Opitz , Haakon Bakka , Raphaël Huser , Luigi Lombardo

Spatial maps of extreme precipitation are a critical component of flood estimation in hydrological modeling, as well as in the planning and design of important infrastructure. This is particularly relevant in countries such as Norway that…

Applications · Statistics 2014-05-27 Anita V. Dyrrdal , Alex Lenkoski , Thordis L. Thorarinsdottir , Frode Stordal

We develop a method for probabilistic prediction of extreme value hot-spots in a spatio-temporal framework, tailored to big datasets containing important gaps. In this setting, direct calculation of summaries from data, such as the minimum…

Methodology · Statistics 2020-04-02 Daniela Castro-Camilo , Linda Mhalla , Thomas Opitz

Incomplete satellite-based precipitation presents a significant challenge in global monitoring. For example, the Global Satellite Mapping of Precipitation (GSMaP) from JAXA suffers from substantial missing regions due to the orbital…

Machine Learning · Computer Science 2025-07-29 Daiko Kishikawa , Yuka Muto , Shunji Kotsuki

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

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

Modeling the joint distribution of extreme weather events in multiple locations is a challenging task with important applications. In this study, we use max-stable models to study extreme daily precipitation events in Switzerland. The…

Methodology · Statistics 2018-11-29 Clément Chevalier , David Ginsbourger , Olivia Martius

Accurate precipitation forecasting is crucial for early warnings of disasters, such as floods and landslides. Traditional forecasts rely on ground-based radar systems, which are space-constrained and have high maintenance costs.…

Computer Vision and Pattern Recognition · Computer Science 2024-12-17 Young-Jae Park , Doyi Kim , Minseok Seo , Hae-Gon Jeon , Yeji Choi

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