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Uncertainty quantification is not yet widely adapted in the design process of engineering components despite its importance for achieving sustainable and resource-efficient structures. This is mainly due to two reasons: 1) Tracing the…

计算工程、金融与科学 · 计算机科学 2024-12-18 Hendrik Geisler , Emmanuel Baranger , Philipp Junker

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

Macroscopically heterogeneous materials, characterised mostly by comparable heterogeneity lengthscale and structural sizes, can no longer be modelled by deterministic approach instead. It is convenient to introduce stochastic approach with…

计算工程、金融与科学 · 计算机科学 2014-02-07 Jan Sýkora , Anna Kučerová

Within the calibration of material models, often the numerical results of a simulation model $y$ are compared with the experimental measurements $y^*$. Usually, the differences between measurements and simulation are minimized using least…

材料科学 · 物理学 2024-08-14 Thomas Most

The concepts of probability, statistics and stochastic theory are being successfully used in structural engineering. Markov Chain modelling is a simple stochastic process model that has found its application in both describing stochastic…

应用统计 · 统计学 2007-08-14 K. Balaji Rao

We provide a simple method to estimate the parameters of multivariate stochastic volatility models with latent factor structures. These models are very useful as they alleviate the standard curse of dimensionality, allowing the number of…

计量经济学 · 经济学 2023-02-15 Giorgio Calzolari , Roxana Halbleib , Christian Mücher

Frailty models are often the model of choice for heterogeneous survival data. A frailty model contains both random effects and fixed effects, with the random effects accommodating for the correlation in the data. Different estimation…

统计方法学 · 统计学 2019-09-17 Oodally Ajmal , Luc Duchateau , Estelle Kuhn

Accurate simulation of complex physical systems enables the development, testing, and certification of control strategies before they are deployed into the real systems. As simulators become more advanced, the analytical tractability of the…

机器人学 · 计算机科学 2020-05-27 Lucas Barcelos , Rafael Oliveira , Rafael Possas , Lionel Ott , Fabio Ramos

A special aspect of parameter identification in finite-strain elasto-plasticity is considered. Namely, we analyze the impact of the measurement errors on the resulting set of material parameters. In order to define the sensitivity of…

应用统计 · 统计学 2021-03-15 A. V. Shutov , A. A. Kaygorodtseva

Risk management is particularly concerned with extreme events, but analysing these events is often hindered by the scarcity of data, especially in a multivariate context. This data scarcity complicates risk management efforts. Various tools…

统计方法学 · 统计学 2026-01-15 Nisrine Madhar , Juliette Legrand , Maud Thomas

This paper proposes strategies for designing a system whose computational model is subject to aleatory and epistemic uncertainty. Aleatory variables, which are caused by randomness in physical parameters, are draws from a possibly unknown…

统计方法学 · 统计学 2026-02-18 Luis G. Crespo

Reliable forward uncertainty quantification in engineering requires methods that account for aleatory and epistemic uncertainties. In many applications, epistemic effects arising from uncertain parameters and model form dominate prediction…

计算工程、金融与科学 · 计算机科学 2025-12-18 Akash Yadav , Ruda Zhang

When we use simulation to assess the performance of stochastic systems, the input models used to drive simulation experiments are often estimated from finite real-world data. There exist both input model and simulation estimation…

统计方法学 · 统计学 2021-08-10 Wei Xie , Cheng Li , Yuefeng Wu , Pu Zhang

Heterogeneity of many building materials complicates numerical modelling of structural behaviour. The material randomicity can be manifested by different values of material parameters of each material specimen. To capture inherent…

计算工程、金融与科学 · 计算机科学 2026-02-17 Eliška Kočková , Anna Kučerová

Many quantum technologies rely on high-precision dynamics, which raises the question of how these are influenced by the experimental uncertainties that are always present in real-life settings. A standard approach in the literature to…

量子物理 · 物理学 2022-04-27 Mogens Dalgaard , Carrie A. Weidner , Felix Motzoi

Polynomial Chaos Expansions represent a powerful tool to simulate stochastic models of dynamical systems. Yet, deriving the expansion's coefficients for complex systems might require a significant and non-trivial manipulation of the model,…

统计计算 · 统计学 2012-11-13 Lorenzo Fagiano , Mustafa Khammash

Polynomial chaos based methods enable the efficient computation of output variability in the presence of input uncertainty in complex models. Consequently, they have been used extensively for propagating uncertainty through a wide variety…

最优化与控制 · 数学 2020-09-18 Tuhin Sahai

Performance-based engineering for natural hazards facilitates the design and appraisal of structures with rigorous evaluation of their uncertain structural behavior under potentially extreme stochastic loads expressed in terms of failure…

计算工程、金融与科学 · 计算机科学 2023-05-11 Srinivasan Arunachalam , Seymour M. J. Spence

Within the performance-based earthquake engineering (PBEE) framework, the fragility model plays a pivotal role. Such a model represents the probability that the engineering demand parameter (EDP) exceeds a certain safety threshold given a…

应用统计 · 统计学 2023-02-02 X. Zhu , M. Broccardo , B. Sudret

Indentation test is used with growing popularity for the characterization of various materials on different scales. Developed methods are combining the test with computer simulation and inverse analyses to assess material parameters…

计算物理 · 物理学 2015-07-14 Vladimir Buljak , Shwetank Pandey
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