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Enhanced Gaussian-mixture-model-based nonlinear probabilistic uncertainty propagation using Gaussian splitting approach
Practical engineering problems often involve stochastic uncertainty, which can cause substantial variations in the response of engineering products...
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A novel uncertainty propagation and probability assessment method for the frequency response function involving correlated uncertainties
Uncertainty propagation of the frequency response function is crucial for vibration problems such as model calibration, and the probability...
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Analytical configuration uncertainty propagation of geocentric interferometric detection constellation
Long-term configuration stability is essential for an interferometric detection constellation (IDC), which is closely related to initial uncertainty....
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An uncertainty propagation method for multimodal distributions through unimodal decomposition strategy
In practical engineering problems, random variables may follow a multimodal distribution. Traditional uncertainty propagation methods may yield poor...
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An efficient interval moment method for uncertainty propagation analysis with non-parameterized probability-box
This paper proposes an efficient interval moment method (IMM) for uncertainty propagation analysis with non-parameterized probability-box (p-box),...
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An efficient uncertainty propagation analysis method of non-parameterized P-boxes based on dimension-reduction integral and maximum entropy estimation
The purpose of the non-parameterized P-box uncertainty propagation analysis is to calculate the cumulative distribution function (CDF) bounds of the...
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A novel linear uncertainty propagation method for nonlinear dynamics with interval process
Interval process is a preferable model for time-varying uncertainty propagation of dynamic systems when only the range of uncertainties can be...
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Parameter identification and uncertainty propagation of hydrogel coupled diffusion-deformation using POD-based reduced-order modeling
This study explores reduced-order modeling for analyzing time-dependent diffusion-deformation of hydrogels. The full-order model describing hydrogel...
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An efficient uncertainty quantification and propagation method through skewness and kurtosis fitting region
Traditional methods for structural uncertainty problems with nonconventional distributions involve a significant computational burden, attributed to...
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A collaborative quasi-Monte Carlo uncertainty propagation analysis method for multiple types of epistemic uncertainty quantified by probability boxes
Various epistemic uncertainties arise in practical engineering problems. In this paper, probability boxes (p-boxes) are used to unify multiple types...
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Directed Gaussian process metamodeling with improved firefly algorithm (iFA) for composite manufacturing uncertainty propagation analysis
A computationally effective and physically accurate metamodeling approach is demonstrated to analyze, under uncertainties, the spring-in angle...
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Uncertainty Propagation Analysis of TBM Performance Based on Sparse Polynomial Chaos Expansion Combined with Kernel Density Estimation and Bayesian Model Average
Investigating the impacts of uncertain geological parameters on the performance of tunneling boring machines (TBMs) via uncertainty propagation...
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Uncertainty Propagation of Structural Computation for Fatigue Assessment
Offshore wind substations are subjected to uncertain loads from waves, wind and currents. Sea states are composed of irregular waves which statistics...
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The Role of Uncertainty Propagation for Digital Twins
The great demand for digital maintenance concepts for bridges has given an enormous boost to research in the field of digital twins. The many areas...
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Stochastic virtual element methods for uncertainty propagation of stochastic linear elasticity
This paper presents stochastic virtual element methods for propagating uncertainty in linear elastic stochastic problems. We first derive stochastic...
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Uncertainty Quantification for Mars Entry
In this chapter, the propagation of high-dimensional uncertainty in Mars atmospheric entry dynamics is investigated. Based on spectral decomposition...
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Uncertainty Budgets
All measurement numbers have finite accuracy, and it is good practice to always state the uncertainty in a measurement. The uncertainty is typically...
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Adaptive Gaussian Mixture Method for Uncertainty Propagation in Space Surveillance
The orbital uncertainty propagation problem is treated, where the uncertainty concerning an object position and velocity is propagated over a long...
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Uncertainty Estimation
Estimating uncertainty is an important part of hydrological data modeling. They offer a measure of confidence in model predictions and aid in...
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Uncertainty propagation method for high-dimensional black-box problems via Bayesian deep neural network
A high-dimensional uncertainty propagation (UP) method is proposed in this paper, solving UP problems directly in the high-dimensional space....
