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High accuracy complex computer models, or simulators, require large resources in time and memory to produce realistic results. Statistical emulators are computationally cheap approximations of such simulators. They can be built to replace…

统计计算 · 统计学 2016-08-25 Xiaoyu Liu , Serge Guillas

The analysis of computer models can be aided by the construction of surrogate models, or emulators, that statistically model the numerical computer model. Increasingly, computer models are becoming stochastic, yielding different outputs…

统计方法学 · 统计学 2020-04-10 Evan Baker , Peter Challenor , Matt Eames

Hurricane-driven storm surge is one of the most deadly and costly natural disasters, making precise quantification of the surge hazard of great importance. Surge hazard quantification is often performed through physics-based computer models…

We propose the use of statistical emulators for the purpose of valuing mortality-linked contracts in stochastic mortality models. Such models typically require (nested) evaluation of expected values of nonlinear functionals of…

统计金融 · 定量金融 2015-09-15 James Risk , Michael Ludkovski

We present a common framework for Bayesian emulation methodologies for multivariate-output simulators, or computer models, that employ either parametric linear models or nonparametric Gaussian processes. Novel diagnostics suitable for…

统计方法学 · 统计学 2016-10-28 Antony Overstall , David Woods

Reliability analysis is a sub-field of uncertainty quantification that assesses the probability of a system performing as intended under various uncertainties. Traditionally, this analysis relies on deterministic models, where experiments…

统计计算 · 统计学 2026-05-19 Anderson V. Pires , Maliki Moustapha , Stefano Marelli , Bruno Sudret

We present batching as an omnibus device for uncertainty quantification using simulation output. We consider the classical context of a simulationist performing uncertainty quantification on an estimator $\theta_n$ (of an unknown fixed…

统计方法学 · 统计学 2024-08-27 Yongseok Jeon , Yi Chu , Raghu Pasupathy , Sara Shashaani

Computer models are widely used across a range of scientific disciplines to describe various complex physical systems, however to perform full uncertainty quantification we often need to employ emulators. An emulator is a fast statistical…

统计方法学 · 统计学 2022-10-20 Ian Vernon , Jonathan Owen , Jonathan Carter

Machine learning models have emerged as a very effective strategy to sidestep time-consuming electronic-structure calculations, enabling accurate simulations of greater size, time scale and complexity. Given the interpolative nature of…

The vast majority of stochastic simulation models are imperfect in that they fail to exactly emulate real system dynamics. The inexactness of the simulation model, or model discrepancy, can impact the predictive accuracy and usefulness of…

统计方法学 · 统计学 2017-07-21 Matthew Plumlee , Henry Lam

Coastal flooding drives considerable risks to many communities, but projections of future flood risks are deeply uncertain. The paucity of observations of extreme events often motivates the use of statistical approaches to model the…

应用统计 · 统计学 2018-08-01 Tony E. Wong , Alexandra Klufas , Vivek Srikrishnan , Klaus Keller

Quantifying and reducing uncertainty in Earth system model parameterizations is essential to improving their reliability in decision-making. Forward uncertainty propagation is used to derive parameter sensitivity but requires physically…

大气与海洋物理 · 物理学 2026-04-22 Ethan YoungIn Shin , Baris Kale , Michael F. Howland

As in many fields of dynamic modeling, the long runtime of hydrological models hinders Bayesian inference of model parameters from data. By replacing a model with an approximation of its output as a function of input and/or parameters,…

统计方法学 · 统计学 2019-10-09 David Machac , Peter Reichert , Jörg Rieckermann , Dario Del Giudice , Carlo Albert

It is often desirable to build a statistical emulator of a complex computer simulator in order to perform analysis which would otherwise be computationally infeasible. We propose methodology to model multivariate output from a computer…

统计方法学 · 统计学 2017-01-03 Veronica E. Bowman , David C. Woods

To achieve virtual certification for industrial design, quantifying the uncertainties in simulation-driven processes is crucial. We discuss a physics-constrained approach to account for epistemic uncertainty of turbulence models. In order…

机器学习 · 计算机科学 2023-07-12 Marcel Matha , Christian Morsbach

While the propagation of tsunamis is well understood and well simulated by numerical models, there are still a number of unanswered questions related to the generation of tsunamis or the subsequent inundation. We review some of the basic…

大气与海洋物理 · 物理学 2020-02-20 Frédéric Dias , Denys Dutykh , Laura O'Brien , Emiliano Renzi , Themistoklis Stefanakis

Computer models are widely used to study complex real world physical systems. However, there are major limitations to their direct use including: their complex structure; large numbers of inputs and outputs; and long evaluation times.…

统计方法学 · 统计学 2025-05-05 Jonathan Owen , Ian Vernon

Renewable energy projects, such as large offshore wind farms, are critical to achieving low-emission targets set by governments. Stochastic computer models allow us to explore future scenarios to aid decision making whilst considering the…

统计方法学 · 统计学 2021-12-07 Jack C. Kennedy , Daniel A. Henderson , Kevin J. Wilson

We propose and compare methods for the analysis of extreme events in complex systems governed by PDEs that involve random parameters, in situations where we are interested in quantifying the probability that a scalar function of the…

最优化与控制 · 数学 2025-08-12 Shanyin Tong , Eric Vanden-Eijnden , Georg Stadler

In the quest for advanced propulsion and power-generation systems, high-fidelity simulations are too computationally expensive to survey the desired design space, and a new design methodology is needed that combines engineering physics,…

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