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A basic issue in optimization, inverse theory,neural networks, computational chemistry and many other problems is the geometrical characterization of high dimensional functions. In inverse calculations one aims to characterize the set of…

数值分析 · 计算机科学 2014-05-14 H. Lydia Deng , John A. Scales

Visualization is an essential operation when assessing the risk of rare events such as coastal or river floodings. The goal is to display a few prototype events that best represent the probability law of the observed phenomenon, a task…

We investigate the influence of time-varying meteoceanic conditions on coastal flooding under the prism of rare events. Focusing on conditions observed over half tidal cycles, we observe that such data fall within the framework of…

应用统计 · 统计学 2025-08-21 Nathan Gorse , Olivier Roustant , Jérémy Rohmer , Déborah Idier

Coastal flooding poses increasing threats to communities worldwide, necessitating accurate and hyper-local inundation forecasting for effective emergency response. However, real-world deployment of forecasting systems is often constrained…

We develop a method for the evaluation of extreme event statistics associated with nonlinear dynamical systems, using a small number of samples. From an initial dataset of design points, we formulate a sequential strategy that provides the…

机器学习 · 计算机科学 2022-06-08 Mustafa A. Mohamad , Themistoklis P. Sapsis

There is a wide range of applications where the local extrema of a function are the key quantity of interest. However, there is surprisingly little work on methods to infer local extrema with uncertainty quantification in the presence of…

统计方法学 · 统计学 2023-09-28 Meng Li , Zejian Liu , Cheng-Han Yu , Marina Vannucci

Extreme events arising in georeferenced processes can take various forms, such as occurring in isolated patches or stretching contiguously over large areas, and can further vary with the spatial location and the extremeness of the events.…

统计理论 · 数学 2025-01-15 Ryan Cotsakis , Elena Di Bernardino , Thomas Opitz

A guided tour helps to visualise high-dimensional data by showing low-dimensional projections along a projection pursuit optimisation path. Projection pursuit is a generalisation of principal component analysis, in the sense that different…

统计计算 · 统计学 2024-01-11 H. Sherry Zhang , Dianne Cook , Ursula Laa , Nicolas Langrené , Patricia Menéndez

Flood quantile estimation is of great importance for many engineering studies and policy decisions. However, practitioners must often deal with small data available. Thus, the information must be used optimally. In the last decades, to…

应用统计 · 统计学 2009-11-13 Mathieu Ribatet , Taha B. M. J. Ouarda , Eric Sauquet , Jean-Michel Grésillon

Floods are among the most common and devastating natural hazards, imposing immense costs on our society and economy due to their disastrous consequences. Recent progress in weather prediction and spaceborne flood mapping demonstrated the…

计算机视觉与模式识别 · 计算机科学 2024-09-30 Brandon Victor , Mathilde Letard , Peter Naylor , Karim Douch , Nicolas Longépé , Zhen He , Patrick Ebel

We focus on the problem of estimating and quantifying uncertainties on the excursion set of a function under a limited evaluation budget. We adopt a Bayesian approach where the objective function is assumed to be a realization of a Gaussian…

统计理论 · 数学 2017-08-02 Dario Azzimonti , Julien Bect , Clément Chevalier , David Ginsbourger

This work discusses how to choose performance measures to compare numerical simulations of a flood event with one satellite image, e.g., in a model calibration or validation procedure. A series of criterion are proposed to evaluate the…

地球物理 · 物理学 2024-08-05 Jean-Paul Travert , Sébastien Boyaval , Cédric Goeury , Vito Bacchi , Fabrice Zaoui

Significant wave height forecasting is a key problem in ocean data analytics. This task affects several maritime operations, such as managing the passage of vessels or estimating the energy production from waves. In this work, we focus on…

机器学习 · 统计学 2024-05-07 Vitor Cerqueira , Luis Torgo

Numerical modeling of the intensity and evolution of flood events are affected by multiple sources of uncertainty such as precipitation and land surface conditions. To quantify and curb these uncertainties, an ensemble-based simulation and…

地球物理 · 物理学 2023-02-17 Junyu Wei , Xiangyu Luo , Weihong Liao , Xiaohui Lei , Jianshi Zhao , Haocheng Huang , Hao Wang

Floods rank among the costliest natural hazards, causing over USD 100 billion in insured losses between 2013 and 2023. In France, persistent deficits in the natural catastrophe scheme highlight the need for accurate, building-scale flood…

应用统计 · 统计学 2026-03-04 Mulah Moriah , Franck Vermet , Pierre Ailliot , Philippe Naveau , Juliette Legrand

Conformal prediction is a popular method to construct prediction intervals with marginal coverage guarantees from black-box machine learning models. In applications with potentially high-impact events, such as flooding or financial crises,…

统计方法学 · 统计学 2026-04-02 Olivier C. Pasche , Henry Lam , Sebastian Engelke

An a posteriori error estimator based on an equilibrated flux reconstruction is proposed for defeaturing problems in the context of finite element discretizations. Defeaturing consists in the simplification of a geometry by removing…

Catastrophic losses caused by natural disasters receive a growing concern about the severe rise in magnitude and frequency. The constructions of insurance and financial management scheme become increasingly necessary to diversify the…

风险管理 · 定量金融 2021-12-02 Chengxiu Ling , Jiayi Li , Yixuan Liu , Zhiyan Cai

The effects of seeing on Sersic r^{1/n} profile parameters are extensively studied using a Moffat function. This analytical approximation to the point spread function (PSF) is shown to provide the best fit to the PSF predicted from…

天体物理学 · 物理学 2009-11-07 I. Trujillo , A. Aguerri , J. Cepa , C. M. Gutierrez

Consider a problem where a set of feasible observations are provided by an expert and a cost function is defined that characterizes which of the observations dominate the others and are hence, preferred. Our goal is to find a set of linear…

最优化与控制 · 数学 2020-09-14 Kimia Ghobadi , Houra Mahmoudzadeh
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