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Having reliable estimates of the occurrence rates of extreme events is highly important for insurance companies, government agencies and the general public. The rarity of an extreme event is typically expressed through its return period,…

Methodology · Statistics 2019-10-08 Ross Towe , Jonathan Tawn , Emma Eastoe , Rob Lamb

The aim of this paper is twofold: In the first part, we leverage recent results on scenario design to develop randomized algorithmsfor approximating the image set of a nonlinear mapping, that is, a (possibly noisy) mapping of a set via a…

Optimization and Control · Mathematics 2015-07-30 Fabrizio Dabbene , Didier Henrion , Constantino Lagoa , Pavel Shcherbakov

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

Gaining timely and reliable situation awareness after hazard events such as a hurricane is crucial to emergency managers and first responders. One effective way to achieve that goal is through damage assessment. Recently, disaster…

Computer Vision and Pattern Recognition · Computer Science 2020-12-17 Quoc Dung Cao , Youngjun Choe

Variable importance, interaction measures, and partial dependence plots are important summaries in the interpretation of statistical and machine learning models. In this paper we describe new visualization techniques for exploring these…

Computation · Statistics 2021-10-12 Alan Inglis , Andrew Parnell , Catherine Hurley

We present a decision support system for flood early warning and disaster management. It includes the models for data-driven meteorological predictions, for simulation of atmospheric pressure, wind, long sea waves and seiches; a module for…

Computational Engineering, Finance, and Science · Computer Science 2014-01-31 V. V. Krzhizhanovskaya , N. B. Melnikova , A. M. Chirkin , S. V. Ivanov , A. V. Boukhanovsky , P. M. A. Sloot

Flooding is one of the most destructive natural hazards worldwide, posing serious risks to ecosystems, infrastructure, and human livelihoods. This study combines Synthetic Aperture Radar (SAR) imagery with environmental and hydrological…

Machine Learning · Computer Science 2025-12-29 Edwin Oluoch Awino , Denis Machanda

Predicting a landslide susceptibility map (LSM) is essential for risk recognition and disaster prevention. Despite the successful application of data-driven approaches for LSM prediction, most methods generally apply a single global model…

Machine Learning · Computer Science 2023-08-24 Li Chen , Yulin Ding , Saeid Pirasteh , Han Hu , Qing Zhu , Haowei Zeng , Haojia Yu , Qisen Shang , Yongfei Song

This study provides a summary of the theory which enables the analysis of extreme values, i.e., of measurements acquired from the observation of extraordinary/rare physical phenomena. The formalism is developed in a transparent way,…

Data Analysis, Statistics and Probability · Physics 2024-07-02 Evangelos Matsinos

For rare events described in terms of Markov processes, truly unbiased estimation of the rare event probability generally requires the avoidance of numerical approximations of the Markov process. Recent work in the exact and…

Statistics Theory · Mathematics 2021-11-08 James Hodgson , Adam M. Johansen , Murray Pollock

Regionalization methods have long been used to estimate high return levels of river discharges at ungauged locations on a river network. In these methods, the recorded discharge measurements of a group of similar, gauged, stations is used…

Applications · Statistics 2016-11-11 Peiman Asadi , Sebastian Engelke , Anthony C. Davison

The escalating frequency and severity of natural disasters, exacerbated by climate change, underscore the critical role of insurance in facilitating recovery and promoting investments in risk reduction. This work introduces a novel Adaptive…

Optimization and Control · Mathematics 2024-05-14 Dimitris Bertsimas , Cynthia Zeng

Detecting and quantifying anomalies in urban traffic is critical for real-time alerting or re-routing in the short run and urban planning in the long run. We describe a two-step framework that achieves these two goals in a robust, fast,…

Machine Learning · Computer Science 2016-10-04 Zhengyi Zhou , Philipp Meerkamp , Chris Volinsky

In this work, we propose an algorithm to simulate rare events for electronic circuit design. Our approach heavily relies on a smart use of importance sampling, which enables us to tackle probabilities of the magnitude 10 --10. Not only can…

Probability · Mathematics 2021-09-20 Xavier Jonsson , Jérôme Lelong

Traditional disaster analysis and modelling tools for assessing the severity of a disaster are predictive in nature. Based on the past observational data, these tools prescribe how the current input state (e.g., environmental conditions,…

Machine Learning · Computer Science 2025-09-16 Saketh Vishnubhatla , Alimohammad Beigi , Rui Heng Foo , Umang Goel , Ujun Jeong , Bohan Jiang , Adrienne Raglin , Huan Liu

Floods are one of the most common and devastating natural disasters worldwide. The contribution of remote sensing is important for reducing the impact of flooding both during the event itself and for improving hydrodynamic models by…

Bayesian inversions followed by estimations of rare event probabilities are often needed to analyse groundwater hazards. Instead of focusing on the posterior distribution of model parameters, the main interest lies then in the distribution…

Applications · Statistics 2024-01-25 Lea Friedli , Niklas Linde

Random forests are a machine learning method used to automatically classify datasets and consist of a multitude of decision trees. While these random forests often have higher performance and generalize better than a single decision tree,…

Machine Learning · Computer Science 2025-07-31 Max Sondag , Christofer Meinecke , Dennis Collaris , Tatiana von Landesberger , Stef van den Elzen

Most of the two-dimensional (2D) hydraulic/hydrodynamic models are still computationally too demanding for real-time applications. In this paper, an innovative modelling approach based on a deep convolutional neural network (CNN) method is…

Machine Learning · Computer Science 2020-09-17 Syed Kabir , Sandhya Patidar , Xilin Xia , Qiuhua Liang , Jeffrey Neal , Gareth Pender , .

We are interested in the computational study of shock hydrodynamics, i.e. problems involving compressible solids, liquids, and gases that undergo large deformation. These problems are dynamic and nonlinear and can exhibit complex…

Computational Physics · Physics 2024-06-25 C. F. Jekel , D. M. Sterbentz , T. M. Stitt , P. Mocz , R. N. Rieben , D. A. White , J. L. Belof
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