Results 11 to 20 of about 12,137 (169)

Polynomial chaos Kalman filter for target tracking applications

open access: yesIET Radar, Sonar & Navigation, 2023
In this paper, an approximate Gaussian state estimator is developed based on generalised polynomial chaos expansion for target tracking applications. Motivated by the fact that calculating conditional moments in an approximate Gaussian filter involves ...
Kundan Kumar   +3 more
doaj   +1 more source

A Novel Sparse Polynomial Expansion Method for Interval and Random Response Analysis of Uncertain Vibro-Acoustic System

open access: yesShock and Vibration, 2021
For the vibro-acoustic system with interval and random uncertainties, polynomial chaos expansions have received broad and persistent attention. Nevertheless, the cost of the computation process increases sharply with the increasing number of uncertain ...
Shengwen Yin, Xiaohan Zhu, Xiang Liu
doaj   +1 more source

Empirical Assessment of Non-Intrusive Polynomial Chaos Expansions for High-Dimensional Stochastic CFD Problems

open access: yesAerospace, 2023
Uncertainties in the atmosphere and flight conditions can drastically impact the performance of an aircraft and result in certification delays. However, uncertainty propagation in high-fidelity simulations, which have become integral to the design ...
Nikhil Iyengar   +2 more
doaj   +1 more source

Uncertainty Propagation and Global Sensitivity Analysis of a Surface Acoustic Wave Gas Sensor Using Finite Elements and Sparse Polynomial Chaos Expansions

open access: yesVibration, 2023
The aim of this work is to perform an uncertainty propagation and global sensitivity analysis of a surface acoustic wave (SAW) gas sensor using finite elements and sparse polynomial chaos.
Mohamed Hamdaoui
doaj   +1 more source

Projection Pursuit Adaptation on Polynomial Chaos Expansions

open access: yesComputer Methods in Applied Mechanics and Engineering, 2022
The present work addresses the issue of accurate stochastic approximations in high-dimensional parametric space using tools from uncertainty quantification (UQ). The basis adaptation method and its accelerated algorithm in polynomial chaos expansions (PCE) were recently proposed to construct low-dimensional approximations adapted to specific quantities
Xiaoshu Zeng, Roger Ghanem
openaire   +2 more sources

Sparse Polynomial Chaos Expansions: Literature Survey and Benchmark [PDF]

open access: yesSIAM/ASA Journal on Uncertainty Quantification, 2021
Sparse polynomial chaos expansions (PCE) are a popular surrogate modelling method that takes advantage of the properties of PCE, the sparsity-of-effects principle, and powerful sparse regression solvers to approximate computer models with many input parameters, relying on only few model evaluations.
Lüthen, Nora   +2 more
openaire   +4 more sources

Fast Stochastic Surrogate Modeling via Rational Polynomial Chaos Expansions and Principal Component Analysis

open access: yesIEEE Access, 2021
This paper introduces a fast stochastic surrogate modeling technique for the frequency-domain responses of linear and passive electrical and electromagnetic systems based on polynomial chaos expansion (PCE) and principal component analysis (PCA).
Paolo Manfredi, Stefano Grivet-Talocia
doaj   +1 more source

Uncertainty Quantification in Mooring Cable Dynamics Using Polynomial Chaos Expansions

open access: yesJournal of Marine Science and Engineering, 2020
Mooring systems exhibit high failure rates. This is especially problematic for offshore renewable energy systems, like wave and floating wind, where the mooring system can be an active component and the redundancy in the design must be kept low.
Guilherme Moura Paredes   +2 more
doaj   +1 more source

Analysis of methods for the Maxwell-random Lorentz model

open access: yesResults in Applied Mathematics, 2020
Maxwell’s equations describes the propagation of electromagnetic fields in materials. Constitutive laws are used to describe the material response to the fields.
Andrew Fisher   +2 more
doaj   +1 more source

Optimized sparse polynomial chaos expansion with entropy regularization [PDF]

open access: yesAdvances in Aerodynamics, 2021
Abstract Sparse Polynomial Chaos Expansion (PCE) is widely used in various engineering fields to quantitatively analyse the influence of uncertainty, while alleviating the problem of dimensionality curse. However, current sparse PCE techniques focus on choosing features with the largest coefficients, which may ignore uncertainties ...
SiJie Zeng   +3 more
openaire   +3 more sources

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